Rod Bundle Heat Transfer 

Facility Two-Phase Mixture 

Level Swell and Uncovery 

Test Experiments Data 

Report

Office of Nuclear Regulatory Research

NUREG/CR-7218

Volume 2

Rod Bundle Heat Transfer 

Facility Two-Phase Mixture 

Level Swell and Uncovery 

Test Experiments Data 

Report 

Manuscript Completed: July 2016

Date Published: September 2016

Prepared by: 

L.E. Hochreiter, F-B. Cheung, T.F. Lin, D.J. Miller, B.R. Lowery

The Pennsylvania State University

University Park, PA 16802

Division of Systems Analysis

Office of Nuclear Regulatory Research

U.S. Nuclear Regulatory Commission

Washington, DC 20555-0001

K. Tien, Project Manager

NRC Job Code N6154

Office of Nuclear Regulatory Research

NUREG/CR-7218

Volume 2

 

iii

ABSTRACT

A series of two-phase level swell and uncovery experiments have been performed in the US 

Nuclear Regulatory Commission/ Penn State Rod Bundle Heat Transfer Test (RBHT) Facility. A 

total of 75 experiments were performed in a quasi-steady state manner in which the inlet 

flooding rated into the RBHT rod bundle was slowly decreased in steps and the two-phase 

mixture level in the bundle was allowed to decrease. In several of the experiments the top 

region of the rod bundle became uncovered and the heater rod temperatures were significantly 

above the saturation temperature. 

The range of conditions investigated in the experiments were: pressure, 0.138 to 0.414 Mpa 

(20 to 60 psia); Inlet subcooling 11.1 to 69.4 degrees K (20 to 125 degrees F); Inlet injection

temperature 334 to 393 degrees K (142 to 247 degrees F); Peak linear power 0.492 to 1.31 

kw/m (0.15 to 0.4 kw/ft); and Inlet flooding rate 2.54 to 40.64 mm/s (0.1 to 1.6 in/s).

A one-dimensional energy balance was used to calculate the saturation location in the bundle 

as well as the local fluid quality. The resulting calculations were used to estimate the single and 

two-phase friction and acceleration pressure drop components such that the differential 

pressure measurements could be corrected and used to estimate the local void fraction 

distribution along the heated bundle. The two-phase mixture level or dryout locations were also 

determined from the heater rod thermocouple response as the local heat transfer changed from 

boiling to steam cooling. The resulting data can be used to assess the void fraction models and 

heat transfer models in the Nuclear Regulatory Commission advanced safety analysis computer 

codes.

v

FOREWORD

A loss-of-coolant accident (LOCA) is one of the primary postulated accidents that must be 

considered in the design of nuclear power plants. The plant response to such an accident, 

including the performance of safety systems that are designed to mitigate the accident, is mainly 

analyzed using computer codes. For effective analyses of accidents and operational transients, 

the U.S. Nuclear Regulatory Commission (NRC) consolidated earlier thermal-hydraulics 

analysis codes into one called TRACE.

The NRC is now assessing and improving the TRACE code as weaknesses are identified. 

One such weakness is inaccurate prediction of peak clad temperatures of fuel rods, particularly 

in the later stage of a large-break loss of coolant accident (LBLOCA), called the reflood phase. 

Specifically, the reflood models currently employed in the TRACE code are not sufficiently 

accurate and, consequently, improved models must be developed to provide necessary support 

for risk-informed regulations. Accurate prediction of the consequences of an LBLOCA is 

important because this is one of the limiting postulated accidents used to determine whether 

plant design parameters (such as power densities, equipment sizes, etc.) have been 

appropriately selected to ensure safety. As the NRC places increasing emphasis on riskinformed regulations, the agency needs a more accurate and reliable computer code to obtain 

realistic (rather than conservative) predictions.

To develop better computer code models for an LBLOCA, we need detailed, fundamental data 

that show heat, mass, and momentum exchanges. Some of these detailed data have only recently 

become possible because of recent advances in instrumentation technology for two-phase flow 

measurements. Consequently, to acquire detailed, fundamental data for use in developing 

models for an LBLOCA, the NRC sponsored the construction of a rod bundle heat transfer 

(RBHT) test facility and completion of four test series; reflood tests, liquid-gas interfacial drag 

tests, steam cooling tests without liquid droplet injection, and steam cooling tests with liquid 

droplet injection.

This report presents the results of liquid-gas interfacial drag tests. The data from these tests will 

be used to develop and assess an interfacial drag model which is a component of a LOCA 

model for the TRACE code. The results of other test series will be reported in separate reports.

With improved data and code models for an LBLOCA, we can more accurately predict 

the consequences of LBLOCA accidents and provide better technical bases for regulations 

associated with such accidents. As a result, this study will help to achieve the NRC’s strategic 

performance goals of making the agency’s regulations more effective, efficient, and realistic.

vii

TABLE OF CONTENTS

ABSTRACT ................................................................................................................... iii

FOREWORD............................................................................................................................ v

LIST OF FIGURES..................................................................................................................ix

LIST OF TABLES ...................................................................................................................xi

EXECUTIVE SUMMARY......................................................................................................xiii

ABBREVIATIONS..................................................................................................................xv

1. INTRODUCTION................................................................................................................. 1

1.1 Introduction ...................................................................................................................... 1

1.2 RBHT Two-Phase Mixture Level and Uncovery Test Matrix ............................................. 2

1.3 RBHT Two-Phase Mixture Level and Uncovery Test Method ........................................... 5

2. TEST FACILITY DESCRIPTION FOR TWO-PHASE MIXTURE LEVEL AND

UNCOVERY EXPERIMENTS...........................................................................................11

2.1 General Facility Description.............................................................................................11

 2.1.1 Test Section ...........................................................................................................13

 2.1.2 Lower Plenum ........................................................................................................22

 2.1.3 Upper Plenum ........................................................................................................22

 2.1.4 Large and Small Carryover Tanks..........................................................................24

 2.1.5 Steam Separator and Collection Tanks ..................................................................26

 2.1.6 Pressure Oscillation Damping Tank .......................................................................28

 2.1.7 Exhaust Piping .......................................................................................................29

 2.1.8 Injection Water Supply Tank...................................................................................30

2.2 Facility Improvements Over Previous Tests ....................................................................31

2.3 Instrumentation and Data Acquisition System .................................................................32

 2.3.1 Loop Instrumentation and Controls.........................................................................32

 2.3.2 Test Section Instrumentation..................................................................................35

 2.3.3 Data Acquisition System ........................................................................................43

3. CALCULATIONAL METHODS USED FOR THE RBHT TWO-PHASE

MIXTURE LEVEL AND UNCOVERY EXPERIMENTS .................................................45

3.1 Introduction .....................................................................................................................45

3.2 Analyzed RBHT Experiments ..........................................................................................45

3.3 ENERGY BALANCE Program.........................................................................................47

 3.3.1 Bundle Energy Balance Computer Code Background ............................................47

 3.3.2 Bundle Energy Balance Computer Code Equations and Derivations......................47

 3.3.3 Superficial Phase Velocity......................................................................................51

 3.3.4 Pressure Drop Correlations and Models.................................................................51
viii

 3.3.5 Axial Void Fraction .................................................................................................55

3.4 Experimental Data Comparisons.....................................................................................63

3.5 Void Fraction versus Elevation Data Comparisons..........................................................66

3.6 Void Fraction versus Quality Data Comparisons .............................................................69

4. CONCLUSIONS.................................................................................................................75

4.1 Conclusions.....................................................................................................................75

4.2 Recommendations for Future Work.................................................................................75

5. REFERENCES...................................................................................................................77

APPENDIX A. TEST RESULTS FOR ALL VALID EXPERIMENTS........................... A-1

APPENDIX B. UNCERTAINTIES ............................................................................... B-1

APPENDIX C. ENERGY BALANCE PROGRAM ....................................................... C-1
ix

LIST OF FIGURES

Figure 1-1 Inlet Flow Rate Versus Time for Entire Experiment Run for Experiment 

1683 ......................................................................................................................... 6

Figure 1-2 Exit Pressure Versus Time During Window XX from Figure 1-1 ................... 7

Figure 1-3 Bundle Power Versus Time During Window XX from Figure 1-1 .................. 7

Figure 1-4 Inlet Flow Velocity Versus Time During Window XX from Figure 1-1 ........... 8

Figure 1-5 Heater Rod Temperatures Versus Time for Entire Experiment Run for 

Experiment 1683 .................................................................................................... 9

Figure 2-1 RBHT Test Facility Schematic ........................................................................... 12

Figure 2-2 Test Facility Isometric View ............................................................................... 12

Figure 2-3 Test Section Isometric View .............................................................................. 14

Figure 2-4 Rod Bundle Cross Section View ....................................................................... 15

Figure 2-5 Heater Rod ........................................................................................................... 16

Figure 2-6 Heater Rod Axial Power Profile ......................................................................... 17

Figure 2-7 Mixing Vane Grid ................................................................................................. 18

Figure 2-8 Low Melt Reservoir .............................................................................................. 18

Figure 2-9 Flow Housing Cross Section View .................................................................... 19

Figure 2-10 Low Mass Flow Housing .................................................................................... 20

Figure 2-11 Housing Window .................................................................................................. 21

Figure 2-12 Lower Plenum ...................................................................................................... 23

Figure 2-13 Upper Plenum ...................................................................................................... 23

Figure 2-14 Exhaust Line Baffle ............................................................................................. 24

Figure 2-15 Small Carryover Tank ......................................................................................... 25

Figure 2-16 Large Carryover Tank ......................................................................................... 26

Figure 2-17 Steam Separator .................................................................................................. 27

Figure 2-18 Steam Separator Collection Tank ..................................................................... 28

Figure 2-19 Pressure Oscillation Damping Tank ................................................................. 29

Figure 2-20 Exhaust Piping ..................................................................................................... 30

Figure 2-21 Injection Water Supply Tank .............................................................................. 31

Figure 2-22 Loop Instrumentation Schematic ...................................................................... 34

Figure 2-23 Rod Bundle and Housing Instrumentation Axial Locations ........................... 36

Figure 2-24 Mixing Vane Grid Instrumentation .................................................................... 37

Figure 2-25 Grid No. 2 Instrumentation ................................................................................. 37

Figure 2-26 Grid No. 3 Instrumentation ................................................................................. 38

Figure 2-27 Grid No. 4 Instrumentation ................................................................................. 38

Figure 2-28 Grid No. 5 Instrumentation ................................................................................. 39

Figure 2-29 Grid No. 6 Instrumentation ................................................................................. 39

Figure 2-30 Grid No. 7 Instrumentation ................................................................................. 40

Figure 2-31 Instrumental Heater Rod Radial Location ........................................................ 41

Figure 2-32 Traversing Steam Probe Rake Schematic ...................................................... 43

Figure 3-1 Axial Void Fraction Plot for Uncorrected RBHT Data .................................... 46

Figure 3-2 Comparison of Corrected and Uncorrected Differential Pressure Cell 

Data, with Different Frictional Models...............................................................56

Figure 3-3 Axial Void Fraction Plot for Corrected RBHT Data ........................................57

Figure 3-4 Corrected Axial Void Fraction Plot Smoothed Over Rod Bundle Length ...58
x

Figure 3-5 Sample Input Deck for ENERGY BALANCE Program..................................59

Figure 3-6 Sample Output for ENERGY BALANCE Program .........................................60

Figure 3-7 Single Phase Vapor and Two-Phase Flow Interface versus Experimental 

Time......................................................................................................................64

Figure 3-8 Heater Rod Temperatures at an Elevation of Approximately 3.607 m 

(142 in.)................................................................................................................65

Figure 3-9 Heater Rod Temperatures at an Elevation of Approximately 3.073 m 

(121 in.)................................................................................................................66

Figure 3-10 Comparisons of Experimental Data at Various Pressures with Flow Rate

at 15.24 mm/s (0.6 in/s).....................................................................................68

Figure 3-11 Comparison of Experimental Data for Various Powers and Pressures 

with Flow Rate at 15.24 mm/s (0.6 in/s).........................................................69

Figure 3-12 Comparison of Experimental Data for Various Powers, Pressures, and 

Inlet Subcooling with Flow Rate at 15.24 mm/s (0.6 in/s)............................70

Figure 3-13 Void Fraction Versus Quality for Various Experiments at Different 

Pressures with Flow Rate at 15.24 mm/s (0.6 in/s)......................................71

Figure 3-14 Void Fraction Versus Quality for Various Experiments at Different 

Pressures and Powers with Flow Rate at 15.24 mm/s (0.6 in/s)................72

Figure 3-15 Void Fraction Versus Quality for Various Experiments at Different Inlet 

Subcoolings and Powers with Flow Rate at 15.24 mm/s (0.6 in/s)............73
xi

LIST OF TABLES

Table 1-1 Test Matrix Conditions............................................................................................. 2

Table 1-2 Two-Phase Mixture Level and Uncovery Test Series Test Matrix (Nominal 

Values) ...................................................................................................................... 3

Table 2-1 Differential Pressure Cell Spans along Bundle (from bottom of heated 

length) ..................................................................................................................... 42

Table 3-1 Test Conditions for the Analyzed RBHT Experiments ..................................... 45

Table 3-2 Minimum Achieved Flow Rates for Various Experimental Conditions ..........67

xiii

EXECUTIVE SUMMARY

As part of the Nuclear Regulatory Commission safety analysis computer code development 

efforts, the Rod Bundle Heat Transfer test facility has been designed and constructed at The 

Pennsylvania State University. The Rod Bundle Heat Transfer (RBHT) Facility is a full length 

simulation of a portion of a Pressurized Water Reactor (PWR) fuel assembly. The bundle is a 7 

by 7 rod array with four unheated corner rods and 45 heated electrical rod which simulate a 17 

by 17 PWR fuel assembly. The rod Bundle Heat Transfer Facility is full length, 3.66 m (12 ft), 

with typical PWR rod diameters of 9.49 mm (0.374 in) and a rod pitch of 12.6 m (0.496 in). The 

heater rods have a top skewed power shape with a peak to average power of 1.5 at the 2.77 m 

(9.08 ft) elevation. Typical PWR mixing vane spacer grids were simulated in the RBHT bundle. 

A series of 75 quasi-steady state, two-phase level swell and uncovery experiments were 

performed in the (RBHT) Facility. The inlet flooding rated into the RBHT rod bundle was slowly 

decreased in steps and the two-phase mixture level in the bundle was allowed to decrease. In 

several of the experiments the top region of the rod bundle became uncovered and the heater 

rod temperatures were significantly above the saturation temperature. The range of conditions 

investigated in the experiments were: pressure, 0.138 to 0.414 Mpa (20 to 60 psia); Inlet 

subcooling 11.1 to 69.4 degrees K (20 to 125 degrees F); Inlet injection temperature 334 to 393 

degrees K (142 to 247 degrees F); Peak linear power 0.492 to 1.31 kw/m (0.15 to 0.4 kw/ft); and 

Inlet flooding rate 2.54 to 40.64 mm/s (0.1 to 1.6 in/s). The data from these experiments were 

qualified and submitted to the Nuclear Regulatory Commission data bank for analysis and code 

validation purposes.

There are several unique features of the RBHT facility. There were traversing miniature steam 

probes in the bundle which measured the superheated steam temperature in the presence of 

entrained droplets. Steam probes were located in the bottom subcooled region, in the saturated 

boiling region, as well as in the upper region of the bundle where steam superheat occurred. 

There were a large number of sensitive differential pressure cells along the bundle which could 

be used, with analysis, to determine the local average void fraction over the differential pressure 

cell span. Some of the differential pressure cell spans were as short as 10.16 cm (4-inches). 

The mixing vane grids were also instrumented with miniature thermocouples such that spacer 

grid temperature behavior could also be characterized in addition to the heater rod and vapor 

temperature measurements. The detailed axial distribution of the heater rod thermocouples 

allowed for accurate determination of the two-phase mixture height in the RBHT facility. As the 

mixture height would decrease, the local thermocouple location would transition from a boiling 

situation to steam cooling with a corresponding sharp increase in the thermocouple response as 

the heater rod temperature increased. 

A one-dimensional energy balance method was used to calculate the saturation location in the 

bundle as well as the local fluid quality distribution along the bundle in the boiling region. The 

resulting calculations were then used to estimate the single and two-phase friction and 

acceleration pressure drop components such that the differential pressure measurements could 

be corrected and used to estimate the local void fraction distribution along the heated bundle. 

The two-phase mixture level or dryout locations were also determined from the heater rod 

thermocouple response as the local heat transfer changed from boiling to steam cooling. The 

resulting data are used to assess the void fraction and heat transfer models in the Nuclear 

Regulatory Commission advanced safety analysis computer codes.

xv

ABBREVIATIONS

Acronyms:

ASME – American Society of Mechanical Engineering

CHF – Critical Heat Flux

LHS – Left-Hand-Side

LOCA – Loss-of-Coolant Accident

NRC – Nuclear Regulatory Commission

OSV – Onset of Significant Void

PWR – Pressurized-Water Reactor

RBHT – Rod Bundle Heat Transfer

RHS – Right-Hand-Side

Greek Symbols: 

α – void fraction 

∆ – difference

– two-phase multiplier

μ – viscosity

ν – specific volume 

ρ – density 

σ – surface tension

2 φ
xvi

Symbols: 

A – area

c – specific heat

Dh – hydraulic diameter

De – hydraulic equivalent diameter

– friction factor

Fr – Froude number 

G – mass flux

g – acceleration due to gravity 

gc – gravitational constant

h – enthalpy

j – superficial velocity

– mass flow rate

P – pressure

PF – power factor

q' – linear power 

q''' – volumetric heat rate

Re – Reynolds number 

R – radius 

V – velocity

We – Weber number 

X – Martinelli parameter

x – quality 

f

m
xvii

Subscripts: 

1φ – two-phase 

2φ – two-phase

@ 9 ft. – at elevation of 9 feet 

accel – acceleration

c – cross-sectional

calc – calculated 

elev – elevation 

exp – experimental

f – liquid

fg– latent heat of vaporization

fo – liquid only 

fric – friction

g – vapor 

go – vapor only 

grid – spacer grid

i – generic incremental identifier

in – inlet

mix – mixture

p – constant pressure 

rel – relative

sat – saturation

span – differential pressure cell height
xviii

STP – standard temperature and pressure 

T – total

TP – two-phase 

wf – wall to liquid

wg – wall to vapor 
APPENDIX A. TEST RESULTS FOR ALL VALID EXPERIMENTS

( Continuing From Test 1655A )

• Summary and Comment Sheet – listing of the as-run conditions for the

experiment steady-state window.

• Critical Instrument Plots – verify that steady-state conditions were achieved

and maintained for boundary conditions during the respective time windows of

the experiment. The following experimental data is plotted over the steady-state

window:

1. Upper Plenum Pressure

2. Bundle Power

3. Inlet Flow Rate

4. Inlet Flow Temperature

• Data Tables – tabulated representation of the following test parameters versus

elevation:

1. Superficial Phase Velocities

2. Quality

3. Local Pressure

4. Local Heat Flux

5. ∆Pmeasured

6. ∆Pfriction

7. ∆Pacceleration

8. ∆Pgrid

9. αcorrected

10. αμινιμυμ

11. αmaximum
A-590

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-A 

Test Conditions

Date: 7/7/2003

Steady-state time window: 1440 – 1485 seconds

Inlet flow rate: 3.988 cm/sec (1.570 in./sec) 

Inlet mass flow rate: 0.188 kg/sec (0.415 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-591

Figure A-491 Inlet Flow Plot for Experiment 1655A 

Figure A-492 Inlet Temperature Plot for Experiment 1655A 
A-592

Figure A-493 System Pressure Plot for Experiment 1655A 

Figure A-494 Bundle Power Plot for Experiment 1655A 
A-593

Table A-197: Data Results for RBHT Test 1655 for Time Period 1440 to 1485 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.739 14.910 713.897 1.294 61.957 0.360 17.237 0.000 0.000 13.25 634.413 5773.25 276424.6937 0.768 0.764 0.772

* 120-133 3048-3378 383 0.712 19.433 930.478 1.409 67.463 0.643 30.787 1.591 76.199 15.79 756.029 5789.04 277180.723 0.766 0.762 0.770

* 108-120 2743-3048 382 0.662 21.059 1008.308 1.139 54.536 0.802 38.400 4.318 206.745 14.8 708.628 5803.84 277889.3508 0.762 0.758 0.766

100-108 2540-2743 381 0.731 11.192 535.858 0.653 31.266 0.587 28.106 0.000 0.000 9.947 476.265 5813.787 278365.6157 0.761 0.757 0.765

97-100 2464-2540 380 0.647 5.495 263.080 0.221 10.582 0.213 10.198 0.000 0.000 5.06 242.274 5818.847 278607.8898 0.675 0.672 0.678

93-97 2362-2464 379 0.640 7.489 358.565 0.274 13.119 0.277 13.263 0.000 0.000 6.935 332.050 5825.782 278939.9394 0.666 0.663 0.669

* 85-93 2159-2362 378 0.460 22.440 1074.451 0.480 22.983 0.531 25.424 7.319 350.454 14.11 675.590 5839.892 279615.5298 0.66 0.657 0.663

81-85 2057-2159 377 0.633 7.634 365.527 0.204 9.768 0.255 12.209 0.000 0.000 7.175 343.541 5847.067 279959.0707 0.655 0.652 0.65878-81 1981-2057 376 0.487 7.998 382.933 0.137 6.560 0.186 8.906 0.000 0.000 7.669 367.194 5854.736 280326.2643 0.508 0.505 0.51175-78 1905-1981 375 0.442 8.699 416.502 0.123 5.889 0.182 8.714 0.000 0.000 8.388 401.620 5863.124 280727.8839 0.461 0.459 0.46372-75 1829-1905 374 0.375 9.732 465.985 0.109 5.219 0.178 8.523 0.000 0.000 9.441 452.038 5872.565 281179.9214 0.394 0.392 0.396

* 67-72 1702-1829 373 0.313 17.829 853.643 0.148 7.086 0.287 13.742 0.024 1.135 17.37 831.680 5889.935 282011.6015 0.331 0.329 0.333

63-67 1600-1702 372 0.253 15.518 742.990 0.085 4.070 0.221 10.582 0.000 0.000 15.21 728.259 5905.145 282739.8602 0.268 0.267 0.26960-63 1524-1600 371 0.052 14.765 706.935 0.040 1.915 0.161 7.709 0.000 0.000 14.56 697.137 5919.705 283436.9968 0.065 0.062 0.06857-60 1448-1524 370 0.071 14.469 692.761 0.018 0.862 0.103 4.932 0.000 0.000 14.34 686.603 5934.045 284123.5996 0.079 0.075 0.08353-57 1346-1448 369 0.056 19.610 938.933 0.003 0.144 0.000 0.000 0.000 0.000 19.6 938.453 5953.645 285062.0527 0.056 0.053 0.059

* 46-53 1168-1346 368 0.053 34.427 1648.354 0.006 0.287 0.000 0.000 -0.189 -9.069 34.61 1657.136 5988.255 286719.1884 0.048 0.046 0.050

43-46 1092-1168 367 0.039 14.978 717.130 0.002 0.096 0.000 0.000 0.000 0.000 14.97 716.767 6003.225 287435.9558 0.039 0.037 0.04137-43 940-1092 366 0.040 29.919 1432.519 0.005 0.239 0.000 0.000 0.000 0.000 29.9 1431.620 6033.125 288867.5755 0.04 0.038 0.042

* 25-37 635-940 365 0.032 60.331 2888.660 0.010 0.479 0.000 0.000 0.221 10.577 60.1 2877.603 6093.225 291745.179 0.035 0.033 0.037

13-25 330-635 364 0.030 60.430 2893.384 0.010 0.479 0.000 0.000 0.000 0.000 60.4 2891.968 6153.625 294637.1465 0.03 0.029 0.032

* 0-13 0-330 363 0.020 66.153 3167.405 0.010 0.479 0.000 0.000 -0.317 -15.195 66.46 3182.122 6220.085 297819.2684 0.015 0.014 0.016

Results for RBHT Test 1655

Valid Time Period 1440 to 1485 seconds

Collapsed Liquid Level = 92.941 inches = 2360.71 mm

 (Zosv) Onset of Significant Void = 55 inches = 1397 mm

Table A-197 Data Results for RBHT Test 1655 for Time Period 1440 to 1485 seconds
A-594

Table A-198 Energy Balance Results for RBHT Test 1655A for Time Period 1440 to 1485 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4656.7842 14.69 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

0.25 6.35 4915.4944 15.506 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

0.50 12.70 5174.2047 16.322 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

0.75 19.05 5432.9149 17.139 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

1.00 25.40 5691.6251 17.955 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

1.25 31.75 5950.3353 18.771 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

1.50 38.10 6209.0456 19.587 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

1.75 44.45 6467.7558 20.403 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

2.00 50.80 6726.466 21.219 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

2.25 57.15 6985.1763 22.035 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

2.50 63.50 7243.8865 22.851 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

2.75 69.85 7502.5967 23.667 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

3.00 76.20 7761.307 24.484 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

3.25 82.55 8020.0172 25.3 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

3.50 88.90 8278.7274 26.116 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

3.75 95.25 8537.4377 26.932 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

4.00 101.60 8796.1479 27.748 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

4.25 107.95 9054.8581 28.564 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

4.50 114.30 9313.5684 29.38 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

4.75 120.65 9572.2786 30.196 0.00E+00 0.00E+00 0.00E+00 1.36E-01 6.16E-02

5.00 127.00 9830.9888 31.013 5.03E-03 4.18E-01 1.90E-01 1.35E-01 6.13E-02

5.25 133.35 10089.699 31.829 1.29E-02 1.07E+00 4.86E-01 1.34E-01 6.08E-02

5.50 139.70 10348.409 32.645 2.10E-02 1.74E+00 7.91E-01 1.33E-01 6.03E-02

5.75 146.05 10607.12 33.461 2.93E-02 2.43E+00 1.10E+00 1.32E-01 5.98E-02

6.00 152.40 10865.83 34.277 3.77E-02 3.14E+00 1.42E+00 1.31E-01 5.93E-02

6.25 158.75 11124.54 35.093 4.64E-02 3.86E+00 1.75E+00 1.29E-01 5.87E-02

6.50 165.10 11383.25 35.909 5.53E-02 4.60E+00 2.08E+00 1.28E-01 5.82E-02

6.75 171.45 11641.96 36.725 6.44E-02 5.35E+00 2.43E+00 1.27E-01 5.76E-02

7.00 177.80 11900.671 37.542 7.37E-02 6.12E+00 2.78E+00 1.26E-01 5.70E-02

7.25 184.15 12159.381 38.358 8.32E-02 6.91E+00 3.14E+00 1.24E-01 5.65E-02

7.50 190.50 12418.091 39.174 9.29E-02 7.72E+00 3.50E+00 1.23E-01 5.59E-02

7.75 196.85 12676.801 39.99 1.03E-01 8.54E+00 3.87E+00 1.22E-01 5.53E-02

8.00 203.20 12935.512 40.806 1.13E-01 9.39E+00 4.26E+00 1.20E-01 5.46E-02

8.25 209.55 13194.222 41.622 1.23E-01 1.02E+01 4.65E+00 1.19E-01 5.40E-02

8.50 215.90 13452.932 42.438 1.34E-01 1.11E+01 5.04E+00 1.18E-01 5.33E-02

8.75 222.25 13711.642 43.254 1.45E-01 1.20E+01 5.45E+00 1.16E-01 5.27E-02

9.00 228.60 13970.353 44.07 1.56E-01 1.29E+01 5.86E+00 1.15E-01 5.20E-02

9.25 234.95 13194.222 41.622 1.66E-01 1.38E+01 6.26E+00 1.13E-01 5.13E-02

9.50 241.30 12418.091 39.174 1.76E-01 1.46E+01 6.64E+00 1.12E-01 5.07E-02

9.75 247.65 11641.96 36.725 1.86E-01 1.54E+01 7.00E+00 1.11E-01 5.01E-02

10.00 254.00 10865.83 34.277 1.95E-01 1.62E+01 7.34E+00 1.09E-01 4.96E-02

10.25 260.35 10089.699 31.829 2.03E-01 1.69E+01 7.65E+00 1.08E-01 4.91E-02

10.50 266.70 9313.5684 29.38 2.11E-01 1.75E+01 7.94E+00 1.07E-01 4.86E-02

10.75 273.05 8537.4377 26.932 2.18E-01 1.81E+01 8.20E+00 1.06E-01 4.82E-02

11.00 279.40 7761.307 24.484 2.24E-01 1.86E+01 8.45E+00 1.05E-01 4.78E-02

11.25 285.75 6985.1763 22.035 2.30E-01 1.91E+01 8.67E+00 1.05E-01 4.74E-02

11.50 292.10 6209.0456 19.587 2.35E-01 1.95E+01 8.86E+00 1.04E-01 4.71E-02

11.75 298.45 5432.9149 17.139 2.40E-01 1.99E+01 9.04E+00 1.03E-01 4.68E-02

12.00 304.80 4656.7842 14.69 2.44E-01 2.03E+01 9.19E+00 1.03E-01 4.66E-02

Results for RBHT Test 1655

Valid Time Period 1440 to 1485 seconds
A-595

Figure A-495 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655A for Time Period 1440 to 1485 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-596

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-B 

Test Conditions

Date: 7/7/2003

Steady-state time window: 1790 – 1860 seconds

Inlet flow rate: 3.551 cm/sec (1.398 in./sec) 

Inlet mass flow rate: 0.167 kg/sec (0.369 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-597

Figure A-496 Inlet Flow Plot for Experiment 1655B 

Figure A-497 Inlet Temperature Plot for Experiment 1655B 
A-598

Figure A-498 System Pressure Plot for Experiment 1655B 

Figure A-499 Bundle Power Plot for Experiment 1655B 
A-599

Table A-199: Data Results for RBHT Test 1655 for Time Period 1790 to 1860 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.765 13.440 643.527 1.182 56.594 0.320 15.322 0.000 0.000 11.93 571.211 5771.93 276361.4918 0.791 0.787 0.795

* 120-133 3048-3378 383 0.732 18.099 866.573 1.291 61.813 0.572 27.388 1.906 91.248 14.33 686.124 5786.26 277047.6159 0.788 0.784 0.792

* 108-120 2743-3048 382 0.686 19.563 936.695 1.049 50.226 0.714 34.187 4.130 197.759 13.67 654.523 5799.93 277702.139 0.781 0.777 0.785

100-108 2540-2743 381 0.750 10.387 497.316 0.605 28.968 0.522 24.993 0.000 0.000 9.254 443.084 5809.184 278145.2229 0.777 0.773 0.781

97-100 2464-2540 380 0.683 4.939 236.474 0.206 9.863 0.189 9.049 0.000 0.000 4.539 217.328 5813.723 278362.5514 0.709 0.705 0.713

93-97 2362-2464 379 0.681 6.627 317.288 0.258 12.353 0.246 11.779 0.000 0.000 6.118 292.931 5819.841 278655.4828 0.705 0.701 0.709

* 85-93 2159-2362 378 0.492 21.095 1010.049 0.457 21.881 0.472 22.599 7.806 373.768 12.36 591.800 5832.201 279247.2828 0.702 0.698 0.706

81-85 2057-2159 377 0.679 6.668 319.277 0.198 9.480 0.226 10.821 0.000 0.000 6.242 298.869 5838.443 279546.1513 0.699 0.696 0.702

78-81 1981-2057 376 0.539 7.188 344.143 0.136 6.512 0.165 7.900 0.000 0.000 6.883 329.560 5845.326 279875.7111 0.558 0.555 0.561

75-78 1905-1981 375 0.508 7.671 367.268 0.124 5.937 0.162 7.757 0.000 0.000 7.384 353.548 5852.71 280229.2589 0.526 0.523 0.529

72-75 1829-1905 374 0.414 9.125 436.892 0.113 5.410 0.158 7.565 0.000 0.000 8.852 423.836 5861.562 280653.095 0.432 0.430 0.434

* 67-72 1702-1829 373 0.365 16.489 789.489 0.161 7.709 0.255 12.209 1.423 68.125 14.65 701.446 5876.212 281354.5407 0.436 0.434 0.438

63-67 1600-1702 372 0.425 11.945 571.913 0.103 4.932 0.197 9.432 0.000 0.000 11.64 557.326 5887.852 281911.8669 0.439 0.437 0.441

60-63 1524-1600 371 0.302 10.880 520.938 0.061 2.921 0.143 6.847 0.000 0.000 10.67 510.882 5898.522 282422.7493 0.315 0.313 0.317

57-60 1448-1524 370 0.204 12.396 593.547 0.046 2.202 0.139 6.655 0.000 0.000 12.21 584.618 5910.732 283007.3672 0.216 0.215 0.217

53-57 1346-1448 369 0.068 19.371 927.494 0.032 1.532 0.180 8.618 0.000 0.000 19.15 916.907 5929.882 283924.2741 0.078 0.074 0.082

* 46-53 1168-1346 368 0.058 34.234 1639.153 0.004 0.192 0.000 0.000 0.100 4.809 34.13 1634.153 5964.012 285558.4273 0.061 0.058 0.064

43-46 1092-1168 367 0.044 14.900 713.400 0.002 0.096 0.000 0.000 0.000 0.000 14.89 712.937 5978.902 286271.3643 0.044 0.042 0.046

37-43 940-1092 366 0.042 29.841 1428.789 0.004 0.192 0.000 0.000 0.000 0.000 29.83 1428.268 6008.732 287699.6324 0.042 0.040 0.044

* 25-37 635-940 365 0.034 60.180 2881.449 0.008 0.383 0.000 0.000 0.182 8.729 59.99 2872.337 6068.722 290571.969 0.037 0.035 0.039

13-25 330-635 364 0.032 60.352 2889.654 0.008 0.383 0.000 0.000 0.000 0.000 60.33 2888.616 6129.052 293460.5849 0.032 0.030 0.034

* 0-13 0-330 363 0.021 66.111 3165.416 0.008 0.383 0.000 0.000 -0.317 -15.174 66.42 3180.207 6195.472 296640.7916 0.016 0.015 0.017

Results for RBHT Test 1655

Valid Time Period 1790 to 1860 seconds

Collapsed Liquid Level = 88.672 inches = 2252.27 mm

 (Zosv) Onset of Significant Void = 49.5 inches = 1257 mm

Table A-199 Data Results for RBHT Test 1655 for Time Period 1790 to 1860 seconds
A-600

Table A-200 Energy Balance Results for RBHT Test 1655B for Time Period 1790 to 1860 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4657.8045 14.693 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

0.25 6.35 4916.5714 15.51 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

0.50 12.70 5175.3383 16.326 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

0.75 19.05 5434.1052 17.142 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

1.00 25.40 5692.8721 17.959 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

1.25 31.75 5951.6391 18.775 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

1.50 38.10 6210.406 19.591 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

1.75 44.45 6469.1729 20.407 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

2.00 50.80 6727.9398 21.224 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

2.25 57.15 6986.7067 22.04 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

2.50 63.50 7245.4736 22.856 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

2.75 69.85 7504.2406 23.673 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

3.00 76.20 7763.0075 24.489 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

3.25 82.55 8021.7744 25.305 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

3.50 88.90 8280.5413 26.122 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

3.75 95.25 8539.3082 26.938 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

4.00 101.60 8798.0751 27.754 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

4.25 107.95 9056.842 28.57 0.00E+00 0.00E+00 0.00E+00 1.21E-01 5.48E-02

4.50 114.30 9315.609 29.387 2.72E-03 2.01E-01 9.11E-02 1.21E-01 5.47E-02

4.75 120.65 9574.3759 30.203 1.11E-02 8.20E-01 3.72E-01 1.20E-01 5.42E-02

5.00 127.00 9833.1428 31.019 1.97E-02 1.46E+00 6.61E-01 1.18E-01 5.37E-02

5.25 133.35 10091.91 31.836 2.86E-02 2.11E+00 9.57E-01 1.17E-01 5.32E-02

5.50 139.70 10350.677 32.652 3.76E-02 2.78E+00 1.26E+00 1.16E-01 5.28E-02

5.75 146.05 10609.444 33.468 4.69E-02 3.47E+00 1.57E+00 1.15E-01 5.22E-02

6.00 152.40 10868.21 34.285 5.65E-02 4.17E+00 1.89E+00 1.14E-01 5.17E-02

6.25 158.75 11126.977 35.101 6.62E-02 4.89E+00 2.22E+00 1.13E-01 5.12E-02

6.50 165.10 11385.744 35.917 7.62E-02 5.63E+00 2.55E+00 1.12E-01 5.06E-02

6.75 171.45 11644.511 36.733 8.65E-02 6.39E+00 2.90E+00 1.10E-01 5.01E-02

7.00 177.80 11903.278 37.55 9.69E-02 7.16E+00 3.25E+00 1.09E-01 4.95E-02

7.25 184.15 12162.045 38.366 1.08E-01 7.95E+00 3.61E+00 1.08E-01 4.89E-02

7.50 190.50 12420.812 39.182 1.19E-01 8.75E+00 3.97E+00 1.07E-01 4.83E-02

7.75 196.85 12679.579 39.999 1.30E-01 9.57E+00 4.34E+00 1.05E-01 4.77E-02

8.00 203.20 12938.346 40.815 1.41E-01 1.04E+01 4.72E+00 1.04E-01 4.71E-02

8.25 209.55 13197.113 41.631 1.53E-01 1.13E+01 5.11E+00 1.02E-01 4.65E-02

8.50 215.90 13455.88 42.448 1.64E-01 1.21E+01 5.51E+00 1.01E-01 4.58E-02

8.75 222.25 13714.647 43.264 1.77E-01 1.30E+01 5.91E+00 9.95E-02 4.51E-02

9.00 228.60 13973.413 44.08 1.89E-01 1.39E+01 6.33E+00 9.80E-02 4.45E-02

9.25 234.95 13197.113 41.631 2.01E-01 1.48E+01 6.73E+00 9.66E-02 4.38E-02

9.50 241.30 12420.812 39.182 2.12E-01 1.57E+01 7.11E+00 9.52E-02 4.32E-02

9.75 247.65 11644.511 36.733 2.23E-01 1.65E+01 7.47E+00 9.39E-02 4.26E-02

10.00 254.00 10868.21 34.285 2.33E-01 1.72E+01 7.80E+00 9.27E-02 4.20E-02

10.25 260.35 10091.91 31.836 2.42E-01 1.79E+01 8.11E+00 9.16E-02 4.15E-02

10.50 266.70 9315.609 29.387 2.51E-01 1.85E+01 8.40E+00 9.05E-02 4.11E-02

10.75 273.05 8539.3082 26.938 2.59E-01 1.91E+01 8.67E+00 8.96E-02 4.06E-02

11.00 279.40 7763.0075 24.489 2.66E-01 1.96E+01 8.91E+00 8.87E-02 4.02E-02

11.25 285.75 6986.7067 22.04 2.73E-01 2.01E+01 9.13E+00 8.79E-02 3.99E-02

11.50 292.10 6210.406 19.591 2.78E-01 2.06E+01 9.33E+00 8.72E-02 3.96E-02

11.75 298.45 5434.1052 17.142 2.84E-01 2.09E+01 9.50E+00 8.66E-02 3.93E-02

12.00 304.80 4657.8045 14.693 2.88E-01 2.13E+01 9.65E+00 8.60E-02 3.90E-02

Results for RBHT Test 1655

Valid Time Period 1790 to 1860 seconds
A-601

Figure A-500 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655B for Time Period 1790 to 1860 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-602

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-C 

Test Conditions

Date: 7/7/2003

Steady-state time window: 1980 – 2040 seconds

Inlet flow rate: 3.538 cm/sec (1.393 in./sec) 

Inlet mass flow rate: 0.167 kg/sec (0.368 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-603

Figure A-501 Inlet Flow Plot for Experiment 1655C 

Figure A-502 Inlet Temperature Plot for Experiment 1655C 
A-604

Figure A-503 System Pressure Plot for Experiment 1655C 

Figure A-504 Bundle Power Plot for Experiment 1655C 
A-605

Table A-201: Data Results for RBHT Test 1655 for Time Period 1980 to 2040 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.769 13.207 632.337 1.178 56.403 0.319 15.274 0.000 0.000 11.7 560.199 5771.7 276350.4793 0.795 0.791 0.799

* 120-133 3048-3378 383 0.737 17.782 851.405 1.286 61.574 0.570 27.292 1.806 86.470 14.12 676.069 5785.82 277026.5486 0.791 0.787 0.795

* 108-120 2743-3048 382 0.689 19.387 928.240 1.045 50.035 0.711 34.043 4.081 195.385 13.55 648.777 5799.37 277675.326 0.782 0.778 0.786

100-108 2540-2743 381 0.751 10.340 495.078 0.604 28.920 0.520 24.898 0.000 0.000 9.212 441.073 5808.582 278116.399 0.778 0.774 0.782

97-100 2464-2540 380 0.688 4.856 232.495 0.206 9.863 0.188 9.001 0.000 0.000 4.459 213.498 5813.041 278329.897 0.714 0.710 0.718

93-97 2362-2464 379 0.685 6.554 313.806 0.257 12.305 0.245 11.731 0.000 0.000 6.05 289.676 5819.091 278619.5726 0.709 0.705 0.713

* 85-93 2159-2362 378 0.497 20.882 999.854 0.455 21.786 0.471 22.552 7.736 370.420 12.22 585.097 5831.311 279204.6693 0.706 0.702 0.710

81-85 2057-2159 377 0.683 6.596 315.796 0.198 9.480 0.225 10.773 0.000 0.000 6.169 295.373 5837.48 279500.0426 0.703 0.699 0.707

78-81 1981-2057 376 0.540 7.167 343.148 0.135 6.464 0.165 7.900 0.000 0.000 6.865 328.698 5844.345 279828.7406 0.559 0.556 0.562

75-78 1905-1981 375 0.506 7.691 368.262 0.124 5.937 0.161 7.709 0.000 0.000 7.402 354.410 5851.747 280183.1503 0.525 0.522 0.528

72-75 1829-1905 374 0.421 9.016 431.670 0.112 5.363 0.157 7.517 0.000 0.000 8.742 418.569 5860.489 280601.7195 0.439 0.437 0.441

* 67-72 1702-1829 373 0.369 16.390 784.765 0.161 7.709 0.254 12.162 1.525 73.025 14.45 691.870 5874.939 281293.5892 0.443 0.441 0.445

63-67 1600-1702 372 0.434 11.763 563.210 0.103 4.932 0.196 9.385 0.000 0.000 11.46 548.708 5886.399 281842.2969 0.448 0.446 0.450

60-63 1524-1600 371 0.312 10.724 513.479 0.062 2.969 0.143 6.847 0.000 0.000 10.52 503.700 5896.919 282345.9972 0.325 0.323 0.327

57-60 1448-1524 370 0.221 12.137 581.114 0.046 2.202 0.139 6.655 0.000 0.000 11.95 572.169 5908.869 282918.1663 0.233 0.232 0.234

53-57 1346-1448 369 0.076 19.205 919.537 0.033 1.580 0.179 8.571 0.000 0.000 18.98 908.767 5927.849 283826.9336 0.086 0.082 0.090

* 46-53 1168-1346 368 0.059 34.214 1638.159 0.008 0.383 0.004 0.192 0.222 10.613 33.98 1626.971 5961.829 285453.9047 0.065 0.062 0.068

43-46 1092-1168 367 0.044 14.900 713.400 0.002 0.096 0.000 0.000 0.000 0.000 14.89 712.937 5976.719 286166.8417 0.044 0.042 0.046

37-43 940-1092 366 0.042 29.841 1428.789 0.004 0.192 0.000 0.000 0.000 0.000 29.83 1428.268 6006.549 287595.1098 0.042 0.040 0.044

* 25-37 635-940 365 0.034 60.180 2881.449 0.008 0.383 0.000 0.000 0.182 8.729 59.99 2872.337 6066.539 290467.4464 0.037 0.035 0.039

13-25 330-635 364 0.032 60.352 2889.654 0.008 0.383 0.000 0.000 0.000 0.000 60.33 2888.616 6126.869 293356.0623 0.032 0.030 0.034

* 0-13 0-330 363 0.021 66.111 3165.416 0.008 0.383 0.000 0.000 -0.317 -15.174 66.42 3180.207 6193.289 296536.269 0.016 0.015 0.017

Results for RBHT Test 1655

Valid Time Period 1980 to 2040 seconds

Collapsed Liquid Level = 88.254 inches = 2241.65 mm

 (Zosv) Onset of Significant Void = 49.5 inches = 1257 mm

Table A-201 Data Results for RBHT Test 1655 for Time Period 1980 to 2040 seconds
A-606

Table A-202 Energy Balance Results for RBHT Test 1655C for Time Period 1980 to 2040 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4653.5216 14.68 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

0.25 6.35 4912.0506 15.495 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

0.50 12.70 5170.5796 16.311 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

0.75 19.05 5429.1086 17.127 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

1.00 25.40 5687.6376 17.942 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

1.25 31.75 5946.1665 18.758 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

1.50 38.10 6204.6955 19.573 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

1.75 44.45 6463.2245 20.389 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

2.00 50.80 6721.7535 21.204 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

2.25 57.15 6980.2825 22.02 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

2.50 63.50 7238.8114 22.835 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

2.75 69.85 7497.3404 23.651 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

3.00 76.20 7755.8694 24.466 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

3.25 82.55 8014.3984 25.282 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

3.50 88.90 8272.9274 26.098 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

3.75 95.25 8531.4563 26.913 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

4.00 101.60 8789.9853 27.729 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

4.25 107.95 9048.5143 28.544 0.00E+00 0.00E+00 0.00E+00 1.20E-01 5.46E-02

4.50 114.30 9307.0433 29.36 3.02E-03 2.22E-01 1.01E-01 1.20E-01 5.45E-02

4.75 120.65 9565.5723 30.175 1.14E-02 8.42E-01 3.82E-01 1.19E-01 5.40E-02

5.00 127.00 9824.1012 30.991 2.01E-02 1.48E+00 6.70E-01 1.18E-01 5.35E-02

5.25 133.35 10082.63 31.806 2.89E-02 2.13E+00 9.66E-01 1.17E-01 5.30E-02

5.50 139.70 10341.159 32.622 3.80E-02 2.80E+00 1.27E+00 1.16E-01 5.25E-02

5.75 146.05 10599.688 33.437 4.74E-02 3.49E+00 1.58E+00 1.15E-01 5.20E-02

6.00 152.40 10858.217 34.253 5.69E-02 4.19E+00 1.90E+00 1.14E-01 5.15E-02

6.25 158.75 11116.746 35.069 6.67E-02 4.91E+00 2.23E+00 1.12E-01 5.10E-02

6.50 165.10 11375.275 35.884 7.67E-02 5.65E+00 2.56E+00 1.11E-01 5.04E-02

6.75 171.45 11633.804 36.7 8.70E-02 6.40E+00 2.91E+00 1.10E-01 4.99E-02

7.00 177.80 11892.333 37.515 9.75E-02 7.18E+00 3.26E+00 1.09E-01 4.93E-02

7.25 184.15 12150.862 38.331 1.08E-01 7.97E+00 3.61E+00 1.07E-01 4.87E-02

7.50 190.50 12409.391 39.146 1.19E-01 8.77E+00 3.98E+00 1.06E-01 4.81E-02

7.75 196.85 12667.92 39.962 1.30E-01 9.60E+00 4.35E+00 1.05E-01 4.75E-02

8.00 203.20 12926.449 40.777 1.42E-01 1.04E+01 4.73E+00 1.03E-01 4.69E-02

8.25 209.55 13184.978 41.593 1.53E-01 1.13E+01 5.12E+00 1.02E-01 4.62E-02

8.50 215.90 13443.507 42.409 1.65E-01 1.22E+01 5.52E+00 1.01E-01 4.56E-02

8.75 222.25 13702.036 43.224 1.77E-01 1.31E+01 5.92E+00 9.91E-02 4.49E-02

9.00 228.60 13960.565 44.04 1.90E-01 1.40E+01 6.33E+00 9.76E-02 4.43E-02

9.25 234.95 13184.978 41.593 2.02E-01 1.49E+01 6.74E+00 9.61E-02 4.36E-02

9.50 241.30 12409.391 39.146 2.13E-01 1.57E+01 7.12E+00 9.48E-02 4.30E-02

9.75 247.65 11633.804 36.7 2.24E-01 1.65E+01 7.48E+00 9.35E-02 4.24E-02

10.00 254.00 10858.217 34.253 2.34E-01 1.72E+01 7.81E+00 9.23E-02 4.19E-02

10.25 260.35 10082.63 31.806 2.43E-01 1.79E+01 8.12E+00 9.11E-02 4.13E-02

10.50 266.70 9307.0433 29.36 2.52E-01 1.85E+01 8.41E+00 9.01E-02 4.09E-02

10.75 273.05 8531.4563 26.913 2.60E-01 1.91E+01 8.67E+00 8.91E-02 4.04E-02

11.00 279.40 7755.8694 24.466 2.67E-01 1.97E+01 8.92E+00 8.83E-02 4.00E-02

11.25 285.75 6980.2825 22.02 2.74E-01 2.01E+01 9.14E+00 8.75E-02 3.97E-02

11.50 292.10 6204.6955 19.573 2.79E-01 2.06E+01 9.33E+00 8.68E-02 3.94E-02

11.75 298.45 5429.1086 17.127 2.85E-01 2.10E+01 9.51E+00 8.61E-02 3.91E-02

12.00 304.80 4653.5216 14.68 2.89E-01 2.13E+01 9.66E+00 8.56E-02 3.88E-02

Results for RBHT Test 1655

Valid Time Period 1980 to 2040 seconds
A-607

Figure A-505 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655C for Time Period 1980 to 2040 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-608

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-D 

Test Conditions

Date: 7/7/2003

Steady-state time window: 2266 – 2315 seconds

Inlet flow rate: 3.010 cm/sec (1.185 in./sec) 

Inlet mass flow rate: 0.142 kg/sec (0.313 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-609

Figure A-506 Inlet Flow Plot for Experiment 1655D 

Figure A-507 Inlet Temperature Plot for Experiment 1655D 
A-610

Figure A-508 System Pressure Plot for Experiment 1655D 

Figure A-509 Bundle Power Plot for Experiment 1655D 
A-611

Table A-203: Data Results for RBHT Test 1655 for Time Period 2266 to 2315 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.798 11.550 553.015 1.038 49.700 0.273 13.071 0.000 0.000 10.24 490.294 5770.24 276280.5742 0.821 0.817 0.825

* 120-133 3048-3378 383 0.758 16.369 783.770 1.135 54.344 0.487 23.318 2.227 106.647 12.52 599.461 5782.76 276880.035 0.815 0.811 0.819

* 108-120 2743-3048 382 0.712 17.948 859.362 0.927 44.385 0.607 29.063 4.084 195.550 12.33 590.364 5795.09 277470.3985 0.802 0.798 0.806

100-108 2540-2743 381 0.772 9.467 453.303 0.539 25.807 0.444 21.259 0.000 0.000 8.479 405.977 5803.569 277876.3752 0.796 0.792 0.800

97-100 2464-2540 380 0.716 4.430 212.105 0.185 8.858 0.161 7.709 0.000 0.000 4.083 195.495 5807.652 278071.8703 0.738 0.734 0.742

93-97 2362-2464 379 0.719 5.842 279.740 0.232 11.108 0.209 10.007 0.000 0.000 5.398 258.458 5813.05 278330.328 0.74 0.736 0.744

* 85-93 2159-2362 378 0.530 19.537 935.451 0.416 19.918 0.402 19.248 7.759 371.518 10.96 524.768 5824.01 278855.0956 0.736 0.732 0.740

81-85 2057-2159 377 0.714 5.941 284.465 0.184 8.810 0.193 9.241 0.000 0.000 5.564 266.406 5829.574 279121.5013 0.732 0.728 0.73678-81 1981-2057 376 0.593 6.341 303.611 0.127 6.081 0.141 6.751 0.000 0.000 6.069 290.585 5835.643 279412.0866 0.61 0.607 0.61375-78 1905-1981 375 0.570 6.694 320.520 0.118 5.650 0.138 6.607 0.000 0.000 6.435 308.109 5842.078 279720.1961 0.587 0.584 0.59072-75 1829-1905 374 0.489 7.961 381.193 0.109 5.219 0.134 6.416 0.000 0.000 7.717 369.492 5849.795 280089.688 0.504 0.501 0.507

* 67-72 1702-1829 373 0.406 15.429 738.763 0.162 7.757 0.217 10.390 2.880 137.913 12.17 582.703 5861.965 280672.3907 0.531 0.528 0.534

63-67 1600-1702 372 0.545 9.457 452.806 0.111 5.315 0.167 7.996 0.000 0.000 9.177 439.397 5871.142 281111.7878 0.558 0.555 0.56160-63 1524-1600 371 0.419 9.052 433.411 0.071 3.399 0.122 5.841 0.000 0.000 8.855 423.980 5879.997 281535.7675 0.431 0.429 0.43357-60 1448-1524 370 0.362 9.935 475.683 0.061 2.921 0.119 5.698 0.000 0.000 9.753 466.976 5889.75 282002.7437 0.374 0.372 0.37653-57 1346-1448 369 0.283 14.889 712.902 0.065 3.112 0.153 7.326 0.000 0.000 14.67 702.403 5904.42 282705.147 0.294 0.293 0.295

* 46-53 1168-1346 368 0.109 32.396 1551.128 0.060 2.873 0.235 11.252 2.021 96.766 30.08 1440.238 5934.5 284145.3852 0.172 0.171 0.173

43-46 1092-1168 367 0.051 14.791 708.178 0.001 0.048 0.000 0.000 0.000 0.000 14.78 707.670 5949.28 284853.0554 0.051 0.048 0.05437-43 940-1092 366 0.048 29.669 1420.583 0.003 0.144 0.000 0.000 0.000 0.000 29.66 1420.128 5978.94 286273.1838 0.048 0.046 0.050

* 25-37 635-940 365 0.038 59.962 2871.005 0.005 0.239 0.000 0.000 0.187 8.963 59.77 2861.803 6038.71 289134.9867 0.041 0.039 0.043

13-25 330-635 364 0.033 60.248 2884.681 0.005 0.239 0.000 0.000 0.000 0.000 60.22 2883.349 6098.93 292018.3358 0.033 0.031 0.035

* 0-13 0-330 363 0.022 66.059 3162.929 0.006 0.287 0.000 0.000 -0.317 -15.170 66.37 3177.813 6165.3 295196.1485 0.017 0.016 0.018

Results for RBHT Test 1655

Valid Time Period 2266 to 2315 seconds

Collapsed Liquid Level = 83.205 inches = 2113.40 mm

 (Zosv) Onset of Significant Void = 44.5 inches = 1130 mm

Table A-203 Data Results for RBHT Test 1655 for Time Period 2266 to 2315 seconds
A-612

Table A-204 Energy Balance Results for RBHT Test 1655D for Time Period 2266 to 2315 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4656.5477 14.689 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

0.25 6.35 4915.2448 15.505 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

0.50 12.70 5173.9419 16.322 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

0.75 19.05 5432.6389 17.138 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

1.00 25.40 5691.336 17.954 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

1.25 31.75 5950.0331 18.77 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

1.50 38.10 6208.7302 19.586 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

1.75 44.45 6467.4273 20.402 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

2.00 50.80 6726.1244 21.218 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

2.25 57.15 6984.8215 22.034 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

2.50 63.50 7243.5186 22.85 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

2.75 69.85 7502.2157 23.666 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

3.00 76.20 7760.9128 24.482 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

3.25 82.55 8019.6099 25.298 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

3.50 88.90 8278.307 26.115 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

3.75 95.25 8537.0041 26.931 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

4.00 101.60 8795.7011 27.747 4.43E-03 2.79E-01 1.26E-01 1.02E-01 4.62E-02

4.25 107.95 9054.3982 28.563 1.38E-02 8.66E-01 3.93E-01 1.01E-01 4.58E-02

4.50 114.30 9313.0953 29.379 2.34E-02 1.47E+00 6.67E-01 1.00E-01 4.54E-02

4.75 120.65 9571.7924 30.195 3.33E-02 2.09E+00 9.49E-01 9.90E-02 4.49E-02

5.00 127.00 9830.4895 31.011 4.35E-02 2.73E+00 1.24E+00 9.80E-02 4.44E-02

5.25 133.35 10089.187 31.827 5.39E-02 3.39E+00 1.54E+00 9.69E-02 4.39E-02

5.50 139.70 10347.884 32.643 6.46E-02 4.06E+00 1.84E+00 9.58E-02 4.34E-02

5.75 146.05 10606.581 33.459 7.56E-02 4.75E+00 2.15E+00 9.47E-02 4.29E-02

6.00 152.40 10865.278 34.275 8.68E-02 5.46E+00 2.48E+00 9.35E-02 4.24E-02

6.25 158.75 11123.975 35.091 9.83E-02 6.18E+00 2.80E+00 9.23E-02 4.19E-02

6.50 165.10 11382.672 35.907 1.10E-01 6.92E+00 3.14E+00 9.11E-02 4.13E-02

6.75 171.45 11641.369 36.724 1.22E-01 7.68E+00 3.49E+00 8.99E-02 4.08E-02

7.00 177.80 11900.066 37.54 1.35E-01 8.46E+00 3.84E+00 8.86E-02 4.02E-02

7.25 184.15 12158.763 38.356 1.47E-01 9.25E+00 4.20E+00 8.73E-02 3.96E-02

7.50 190.50 12417.46 39.172 1.60E-01 1.01E+01 4.56E+00 8.60E-02 3.90E-02

7.75 196.85 12676.158 39.988 1.73E-01 1.09E+01 4.94E+00 8.47E-02 3.84E-02

8.00 203.20 12934.855 40.804 1.87E-01 1.17E+01 5.32E+00 8.33E-02 3.78E-02

8.25 209.55 13193.552 41.62 2.00E-01 1.26E+01 5.71E+00 8.19E-02 3.72E-02

8.50 215.90 13452.249 42.436 2.14E-01 1.35E+01 6.11E+00 8.05E-02 3.65E-02

8.75 222.25 13710.946 43.252 2.28E-01 1.44E+01 6.51E+00 7.90E-02 3.58E-02

9.00 228.60 13969.643 44.068 2.43E-01 1.53E+01 6.93E+00 7.75E-02 3.52E-02

9.25 234.95 13193.552 41.62 2.57E-01 1.62E+01 7.33E+00 7.61E-02 3.45E-02

9.50 241.30 12417.46 39.172 2.71E-01 1.70E+01 7.71E+00 7.47E-02 3.39E-02

9.75 247.65 11641.369 36.724 2.83E-01 1.78E+01 8.07E+00 7.34E-02 3.33E-02

10.00 254.00 10865.278 34.275 2.95E-01 1.85E+01 8.41E+00 7.22E-02 3.28E-02

10.25 260.35 10089.187 31.827 3.06E-01 1.92E+01 8.72E+00 7.11E-02 3.22E-02

10.50 266.70 9313.0953 29.379 3.16E-01 1.99E+01 9.01E+00 7.00E-02 3.18E-02

10.75 273.05 8537.0041 26.931 3.25E-01 2.05E+01 9.28E+00 6.91E-02 3.13E-02

11.00 279.40 7760.9128 24.482 3.34E-01 2.10E+01 9.52E+00 6.82E-02 3.09E-02

11.25 285.75 6984.8215 22.034 3.42E-01 2.15E+01 9.74E+00 6.74E-02 3.06E-02

11.50 292.10 6208.7302 19.586 3.49E-01 2.19E+01 9.94E+00 6.67E-02 3.03E-02

11.75 298.45 5432.6389 17.138 3.55E-01 2.23E+01 1.01E+01 6.61E-02 3.00E-02

12.00 304.80 4656.5477 14.689 3.60E-01 2.26E+01 1.03E+01 6.55E-02 2.97E-02

Results for RBHT Test 1655

Valid Time Period 2266 to 2315 seconds
A-613

Figure A-510 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655D for Time Period 2266 to 2315 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-614

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-E 

Test Conditions

Date: 7/7/2003

Steady-state time window: 2505 – 2565 seconds

Inlet flow rate: 3.066 cm/sec (1.207 in./sec) 

Inlet mass flow rate: 0.145 kg/sec (0.319 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-615

Figure A-511 Inlet Flow Plot for Experiment 1655E 

Figure A-512 Inlet Temperature Plot for Experiment 1655E 
A-616

Figure A-513 System Pressure Plot for Experiment 1655E 

Figure A-514 Bundle Power Plot for Experiment 1655E 
A-617

Table A-205: Data Results for RBHT Test 1655 for Time Period 2505 to 2565 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.796 11.638 557.243 1.050 50.274 0.276 13.215 0.000 0.000 10.31 493.645 5770.31 276283.9258 0.82 0.816 0.824

* 120-133 3048-3378 383 0.756 16.468 788.494 1.148 54.967 0.493 23.605 2.217 106.153 12.61 603.770 5782.92 276887.6958 0.813 0.809 0.817

* 108-120 2743-3048 382 0.710 18.104 866.822 0.936 44.816 0.616 29.494 4.112 196.881 12.44 595.630 5795.36 277483.3262 0.8 0.796 0.804

100-108 2540-2743 381 0.770 9.556 457.531 0.544 26.047 0.450 21.546 0.000 0.000 8.557 409.711 5803.917 277893.0376 0.794 0.790 0.798

97-100 2464-2540 380 0.713 4.466 213.846 0.187 8.954 0.163 7.804 0.000 0.000 4.113 196.931 5808.03 278089.9691 0.736 0.732 0.740

93-97 2362-2464 379 0.717 5.889 281.978 0.234 11.204 0.212 10.151 0.000 0.000 5.443 260.612 5813.473 278350.5813 0.738 0.734 0.742

* 85-93 2159-2362 378 0.526 19.693 942.911 0.419 20.062 0.408 19.535 7.796 373.280 11.07 530.034 5824.543 278880.6157 0.734 0.730 0.738

81-85 2057-2159 377 0.711 6.009 287.697 0.185 8.858 0.195 9.337 0.000 0.000 5.625 269.326 5830.168 279149.9422 0.729 0.725 0.73378-81 1981-2057 376 0.589 6.403 306.595 0.128 6.129 0.143 6.847 0.000 0.000 6.132 293.602 5836.3 279443.5439 0.606 0.603 0.60975-78 1905-1981 375 0.566 6.757 323.504 0.119 5.698 0.140 6.703 0.000 0.000 6.497 311.078 5842.797 279754.622 0.583 0.580 0.58672-75 1829-1905 374 0.483 8.050 385.420 0.109 5.219 0.136 6.512 0.000 0.000 7.801 373.514 5850.598 280128.1358 0.499 0.497 0.501

* 67-72 1702-1829 373 0.402 15.523 743.239 0.162 7.757 0.220 10.534 2.841 136.021 12.3 588.927 5862.898 280717.063 0.526 0.523 0.529

63-67 1600-1702 372 0.540 9.566 458.028 0.110 5.267 0.170 8.140 0.000 0.000 9.286 444.616 5872.184 281161.6791 0.553 0.550 0.55660-63 1524-1600 371 0.406 9.255 443.109 0.070 3.352 0.124 5.937 0.000 0.000 9.057 433.651 5881.241 281595.3306 0.419 0.417 0.42157-60 1448-1524 370 0.359 9.987 478.169 0.060 2.873 0.120 5.746 0.000 0.000 9.805 469.466 5891.046 282064.7965 0.371 0.369 0.37353-57 1346-1448 369 0.275 15.055 720.859 0.062 2.969 0.155 7.421 0.000 0.000 14.83 710.064 5905.876 282774.8607 0.286 0.285 0.287

* 46-53 1168-1346 368 0.101 32.682 1564.805 0.057 2.729 0.211 10.103 2.174 104.074 30.24 1447.899 5936.116 284222.7597 0.168 0.167 0.169

43-46 1092-1168 367 0.050 14.801 708.675 0.001 0.048 0.000 0.000 0.000 0.000 14.79 708.149 5950.906 284930.9087 0.05 0.048 0.05337-43 940-1092 366 0.048 29.664 1420.334 0.003 0.144 0.000 0.000 0.000 0.000 29.65 1419.650 5980.556 286350.5583 0.048 0.046 0.050

* 25-37 635-940 365 0.037 59.988 2872.248 0.006 0.287 0.000 0.000 0.212 10.158 59.77 2861.803 6040.326 289212.3612 0.041 0.039 0.043

13-25 330-635 364 0.033 60.258 2885.178 0.006 0.287 0.000 0.000 0.000 0.000 60.23 2883.828 6100.556 292096.1891 0.033 0.031 0.035

* 0-13 0-330 363 0.021 66.070 3163.427 0.006 0.287 0.000 0.000 -0.306 -14.673 66.37 3177.813 6166.926 295274.0018 0.017 0.016 0.018

Results for RBHT Test 1655

Valid Time Period 2505 to 2565 seconds

Collapsed Liquid Level = 83.724 inches = 2126.59 mm

 (Zosv) Onset of Significant Void = 44.5 inches = 1130 mm

Table A-205 Data Results for RBHT Test 1655 for Time Period 2505 to 2565 seconds
A-618

Table A-206 Energy Balance Results for RBHT Test 1655E for Time Period 2505 to 2565 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4655.8601 14.687 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

0.25 6.35 4914.5189 15.503 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

0.50 12.70 5173.1778 16.319 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

0.75 19.05 5431.8367 17.135 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

1.00 25.40 5690.4956 17.951 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

1.25 31.75 5949.1545 18.767 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

1.50 38.10 6207.8134 19.583 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

1.75 44.45 6466.4723 20.399 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

2.00 50.80 6725.1312 21.215 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

2.25 57.15 6983.7901 22.031 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

2.50 63.50 7242.449 22.847 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

2.75 69.85 7501.1079 23.663 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

3.00 76.20 7759.7668 24.479 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

3.25 82.55 8018.4256 25.295 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

3.50 88.90 8277.0845 26.111 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

3.75 95.25 8535.7434 26.927 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.73E-02

4.00 101.60 8794.4023 27.743 2.07E-03 1.32E-01 5.99E-02 1.04E-01 4.72E-02

4.25 107.95 9053.0612 28.559 1.13E-02 7.17E-01 3.25E-01 1.03E-01 4.68E-02

4.50 114.30 9311.7201 29.374 2.07E-02 1.32E+00 5.98E-01 1.02E-01 4.64E-02

4.75 120.65 9570.379 30.19 3.04E-02 1.94E+00 8.79E-01 1.01E-01 4.59E-02

5.00 127.00 9829.0379 31.006 4.04E-02 2.57E+00 1.17E+00 1.00E-01 4.54E-02

5.25 133.35 10087.697 31.822 5.06E-02 3.23E+00 1.46E+00 9.91E-02 4.49E-02

5.50 139.70 10346.356 32.638 6.11E-02 3.90E+00 1.77E+00 9.80E-02 4.44E-02

5.75 146.05 10605.015 33.454 7.19E-02 4.58E+00 2.08E+00 9.69E-02 4.39E-02

6.00 152.40 10863.673 34.27 8.29E-02 5.29E+00 2.40E+00 9.57E-02 4.34E-02

6.25 158.75 11122.332 35.086 9.42E-02 6.01E+00 2.72E+00 9.45E-02 4.29E-02

6.50 165.10 11380.991 35.902 1.06E-01 6.74E+00 3.06E+00 9.33E-02 4.23E-02

6.75 171.45 11639.65 36.718 1.18E-01 7.50E+00 3.40E+00 9.21E-02 4.18E-02

7.00 177.80 11898.309 37.534 1.30E-01 8.27E+00 3.75E+00 9.08E-02 4.12E-02

7.25 184.15 12156.968 38.35 1.42E-01 9.06E+00 4.11E+00 8.95E-02 4.06E-02

7.50 190.50 12415.627 39.166 1.55E-01 9.86E+00 4.47E+00 8.82E-02 4.00E-02

7.75 196.85 12674.286 39.982 1.68E-01 1.07E+01 4.85E+00 8.69E-02 3.94E-02

8.00 203.20 12932.945 40.798 1.81E-01 1.15E+01 5.23E+00 8.55E-02 3.88E-02

8.25 209.55 13191.603 41.614 1.94E-01 1.24E+01 5.62E+00 8.41E-02 3.81E-02

8.50 215.90 13450.262 42.43 2.08E-01 1.33E+01 6.01E+00 8.27E-02 3.75E-02

8.75 222.25 13708.921 43.246 2.22E-01 1.41E+01 6.42E+00 8.12E-02 3.68E-02

9.00 228.60 13967.58 44.062 2.36E-01 1.51E+01 6.83E+00 7.97E-02 3.62E-02

9.25 234.95 13191.603 41.614 2.50E-01 1.59E+01 7.23E+00 7.83E-02 3.55E-02

9.50 241.30 12415.627 39.166 2.63E-01 1.68E+01 7.61E+00 7.69E-02 3.49E-02

9.75 247.65 11639.65 36.718 2.76E-01 1.76E+01 7.97E+00 7.56E-02 3.43E-02

10.00 254.00 10863.673 34.27 2.87E-01 1.83E+01 8.30E+00 7.44E-02 3.37E-02

10.25 260.35 10087.697 31.822 2.98E-01 1.90E+01 8.61E+00 7.33E-02 3.32E-02

10.50 266.70 9311.7201 29.374 3.08E-01 1.96E+01 8.90E+00 7.22E-02 3.28E-02

10.75 273.05 8535.7434 26.927 3.17E-01 2.02E+01 9.17E+00 7.13E-02 3.23E-02

11.00 279.40 7759.7668 24.479 3.26E-01 2.08E+01 9.41E+00 7.04E-02 3.19E-02

11.25 285.75 6983.7901 22.031 3.33E-01 2.12E+01 9.63E+00 6.96E-02 3.16E-02

11.50 292.10 6207.8134 19.583 3.40E-01 2.17E+01 9.83E+00 6.89E-02 3.12E-02

11.75 298.45 5431.8367 17.135 3.46E-01 2.20E+01 1.00E+01 6.83E-02 3.10E-02

12.00 304.80 4655.8601 14.687 3.51E-01 2.24E+01 1.01E+01 6.77E-02 3.07E-02

Results for RBHT Test 1655

Valid Time Period 2505 to 2565 seconds
A-619

Figure A-515 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655E for Time Period 2505 to 2565 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-620

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-F 

Test Conditions

Date: 7/7/2003

Steady-state time window: 2790 – 2815 seconds

Inlet flow rate: 2.522 cm/sec (0.993 in./sec) 

Inlet mass flow rate: 0.119 kg/sec (0.262 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-621

Figure A-516 Inlet Flow Plot for Experiment 1655F 

Figure A-517 Inlet Temperature Plot for Experiment 1655F 
A-622

Figure A-518 System Pressure Plot for Experiment 1655F 

Figure A-519 Bundle Power Plot for Experiment 1655F 
A-623

Table A-207: Data Results for RBHT Test 1655 for Time Period 2785 to 2850 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.829 9.758 467.228 0.893 42.757 0.228 10.917 0.000 0.000 8.637 413.542 5768.637 276203.8221 0.849 0.845 0.853

* 120-133 3048-3378 383 0.785 14.547 696.491 0.978 46.827 0.406 19.439 2.313 110.724 10.85 519.501 5779.487 276723.3229 0.839 0.835 0.843

* 108-120 2743-3048 382 0.739 16.281 779.543 0.800 38.304 0.507 24.275 3.764 180.226 11.21 536.738 5790.697 277260.0606 0.82 0.816 0.824

100-108 2540-2743 381 0.790 8.709 416.999 0.467 22.360 0.371 17.764 0.000 0.000 7.868 376.722 5798.565 277636.7824 0.811 0.807 0.815

97-100 2464-2540 380 0.743 3.999 191.467 0.161 7.709 0.134 6.416 0.000 0.000 3.704 177.348 5802.269 277814.1309 0.762 0.758 0.766

93-97 2362-2464 379 0.748 5.230 250.399 0.203 9.720 0.175 8.379 0.000 0.000 4.848 232.123 5807.117 278046.2544 0.767 0.763 0.771

* 85-93 2159-2362 378 0.565 18.073 865.330 0.366 17.524 0.336 16.088 7.377 353.203 9.994 478.515 5817.111 278524.7697 0.759 0.755 0.763

81-85 2057-2159 377 0.737 5.474 262.086 0.163 7.804 0.161 7.709 0.000 0.000 5.146 246.392 5822.257 278771.1615 0.752 0.748 0.75678-81 1981-2057 376 0.633 5.713 273.524 0.114 5.458 0.118 5.650 0.000 0.000 5.481 262.432 5827.738 279033.5932 0.648 0.645 0.65175-78 1905-1981 375 0.619 5.931 283.967 0.107 5.123 0.115 5.506 0.000 0.000 5.706 273.205 5833.444 279306.7979 0.634 0.631 0.63772-75 1829-1905 374 0.555 6.938 332.207 0.100 4.788 0.112 5.363 0.000 0.000 6.724 321.947 5840.168 279628.7448 0.568 0.565 0.571

* 67-72 1702-1829 373 0.437 14.624 700.221 0.150 7.182 0.181 8.666 3.913 187.375 10.38 496.997 5850.548 280125.7418 0.6 0.597 0.603

63-67 1600-1702 372 0.621 7.883 377.463 0.106 5.075 0.140 6.703 0.000 0.000 7.636 365.614 5858.184 280491.3555 0.632 0.629 0.63560-63 1524-1600 371 0.468 8.289 396.858 0.071 3.399 0.102 4.884 0.000 0.000 8.115 388.548 5866.299 280879.9038 0.479 0.477 0.48157-60 1448-1524 370 0.416 9.104 435.897 0.063 3.016 0.099 4.740 0.000 0.000 8.938 427.954 5875.237 281307.8575 0.426 0.424 0.42853-57 1346-1448 369 0.377 12.947 619.904 0.072 3.447 0.128 6.129 0.000 0.000 12.74 609.994 5887.977 281917.852 0.387 0.385 0.389

* 46-53 1168-1346 368 0.276 26.320 1260.199 0.091 4.357 0.213 10.198 -0.244 -11.693 26.26 1257.336 5914.237 283175.1875 0.278 0.277 0.279

43-46 1092-1168 367 0.161 13.066 625.623 0.023 1.101 0.087 4.166 0.000 0.000 12.95 620.049 5927.187 283795.2368 0.169 0.168 0.17037-43 940-1092 366 0.056 29.410 1408.150 0.021 1.005 0.069 3.304 0.000 0.000 29.31 1403.370 5956.497 285198.6072 0.059 0.056 0.062

* 25-37 635-940 365 0.042 59.713 2859.069 0.004 0.192 0.000 0.000 0.359 17.185 59.35 2841.693 6015.847 288040.3004 0.047 0.045 0.049

13-25 330-635 364 0.035 60.113 2878.216 0.004 0.192 0.000 0.000 0.000 0.000 60.09 2877.125 6075.937 290917.4251 0.035 0.033 0.037

* 0-13 0-330 363 0.022 66.012 3160.692 0.004 0.192 0.000 0.000 -0.282 -13.482 66.29 3173.982 6142.227 294091.4073 0.018 0.017 0.019

Results for RBHT Test 1655

Valid Time Period 2785 to 2850 seconds

Collapsed Liquid Level = 78.373 inches = 1990.68 mm

 (Zosv) Onset of Significant Void = 40 inches = 1016 mm

Table A-207 Data Results for RBHT Test 1655 for Time Period 2785 to 2850 seconds
A-624

Table A-208 Energy Balance Results for RBHT Test 1655F for Time Period 2785 to 2850 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4653.9366 14.681 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

0.25 6.35 4912.4886 15.497 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

0.50 12.70 5171.0407 16.312 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

0.75 19.05 5429.5927 17.128 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

1.00 25.40 5688.1447 17.944 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

1.25 31.75 5946.6968 18.759 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

1.50 38.10 6205.2488 19.575 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

1.75 44.45 6463.8008 20.391 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

2.00 50.80 6722.3529 21.206 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

2.25 57.15 6980.9049 22.022 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

2.50 63.50 7239.4569 22.837 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

2.75 69.85 7498.009 23.653 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

3.00 76.20 7756.561 24.469 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

3.25 82.55 8015.113 25.284 0.00E+00 0.00E+00 0.00E+00 8.58E-02 3.89E-02

3.50 88.90 8273.6651 26.1 4.93E-03 2.59E-01 1.18E-01 8.54E-02 3.87E-02

3.75 95.25 8532.2171 26.915 1.54E-02 8.11E-01 3.68E-01 8.45E-02 3.83E-02

4.00 101.60 8790.7691 27.731 2.63E-02 1.38E+00 6.26E-01 8.36E-02 3.79E-02

4.25 107.95 9049.3212 28.547 3.74E-02 1.96E+00 8.91E-01 8.26E-02 3.75E-02

4.50 114.30 9307.8732 29.362 4.89E-02 2.57E+00 1.16E+00 8.16E-02 3.70E-02

4.75 120.65 9566.4252 30.178 6.07E-02 3.19E+00 1.45E+00 8.06E-02 3.66E-02

5.00 127.00 9824.9773 30.994 7.28E-02 3.82E+00 1.73E+00 7.96E-02 3.61E-02

5.25 133.35 10083.529 31.809 8.53E-02 4.48E+00 2.03E+00 7.85E-02 3.56E-02

5.50 139.70 10342.081 32.625 9.80E-02 5.15E+00 2.33E+00 7.74E-02 3.51E-02

5.75 146.05 10600.633 33.44 1.11E-01 5.84E+00 2.65E+00 7.63E-02 3.46E-02

6.00 152.40 10859.185 34.256 1.25E-01 6.54E+00 2.97E+00 7.51E-02 3.41E-02

6.25 158.75 11117.737 35.072 1.38E-01 7.26E+00 3.29E+00 7.40E-02 3.35E-02

6.50 165.10 11376.289 35.887 1.52E-01 8.00E+00 3.63E+00 7.27E-02 3.30E-02

6.75 171.45 11634.841 36.703 1.67E-01 8.76E+00 3.97E+00 7.15E-02 3.24E-02

7.00 177.80 11893.394 37.519 1.81E-01 9.53E+00 4.32E+00 7.03E-02 3.19E-02

7.25 184.15 12151.946 38.334 1.96E-01 1.03E+01 4.68E+00 6.90E-02 3.13E-02

7.50 190.50 12410.498 39.15 2.12E-01 1.11E+01 5.05E+00 6.76E-02 3.07E-02

7.75 196.85 12669.05 39.965 2.28E-01 1.19E+01 5.42E+00 6.63E-02 3.01E-02

8.00 203.20 12927.602 40.781 2.43E-01 1.28E+01 5.80E+00 6.49E-02 2.95E-02

8.25 209.55 13186.154 41.597 2.60E-01 1.36E+01 6.19E+00 6.35E-02 2.88E-02

8.50 215.90 13444.706 42.412 2.76E-01 1.45E+01 6.58E+00 6.21E-02 2.82E-02

8.75 222.25 13703.258 43.228 2.93E-01 1.54E+01 6.99E+00 6.06E-02 2.75E-02

9.00 228.60 13961.81 44.044 3.11E-01 1.63E+01 7.40E+00 5.92E-02 2.68E-02

9.25 234.95 13186.154 41.597 3.28E-01 1.72E+01 7.80E+00 5.77E-02 2.62E-02

9.50 241.30 12410.498 39.15 3.44E-01 1.80E+01 8.19E+00 5.63E-02 2.56E-02

9.75 247.65 11634.841 36.703 3.59E-01 1.88E+01 8.55E+00 5.50E-02 2.50E-02

10.00 254.00 10859.185 34.256 3.73E-01 1.96E+01 8.88E+00 5.38E-02 2.44E-02

10.25 260.35 10083.529 31.809 3.86E-01 2.03E+01 9.19E+00 5.27E-02 2.39E-02

10.50 266.70 9307.8732 29.362 3.98E-01 2.09E+01 9.48E+00 5.17E-02 2.34E-02

10.75 273.05 8532.2171 26.915 4.09E-01 2.15E+01 9.75E+00 5.07E-02 2.30E-02

11.00 279.40 7756.561 24.469 4.19E-01 2.20E+01 9.99E+00 4.98E-02 2.26E-02

11.25 285.75 6980.9049 22.022 4.29E-01 2.25E+01 1.02E+01 4.90E-02 2.22E-02

11.50 292.10 6205.2488 19.575 4.37E-01 2.29E+01 1.04E+01 4.83E-02 2.19E-02

11.75 298.45 5429.5927 17.128 4.44E-01 2.33E+01 1.06E+01 4.77E-02 2.16E-02

12.00 304.80 4653.9366 14.681 4.50E-01 2.37E+01 1.07E+01 4.72E-02 2.14E-02

Results for RBHT Test 1655

Valid Time Period 2785 to 2850 seconds
A-625

Figure A-520 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655F for Time Period 2785 to 2850 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-626

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-G 

Test Conditions

Date: 7/7/2003

Steady-state time window: 2980 – 3131 seconds

Inlet flow rate: 2.540 cm/sec (1.000 in./sec) 

Inlet mass flow rate: 0.120 kg/sec (0.264 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-627

Figure A-521 Inlet Flow Plot for Experiment 1655G 

Figure A-522 Inlet Temperature Plot for Experiment 1655G 
A-628

Figure A-523 System Pressure Plot for Experiment 1655G 

Figure A-524 Bundle Power Plot for Experiment 1655G 
A-629

Table A-209: Data Results for RBHT Test 1655 for Time Period 2980 to 3131 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.829 9.795 468.969 0.900 43.092 0.229 10.965 0.000 0.000 8.66 414.643 5768.66 276204.9233 0.848 0.844 0.852

* 120-133 3048-3378 383 0.785 14.547 696.491 0.985 47.162 0.410 19.631 2.312 110.676 10.84 519.022 5779.5 276723.9453 0.839 0.835 0.843

* 108-120 2743-3048 382 0.739 16.281 779.543 0.806 38.591 0.511 24.467 3.854 184.535 11.11 531.950 5790.61 277255.895 0.822 0.818 0.826

100-108 2540-2743 381 0.792 8.626 413.021 0.470 22.504 0.374 17.907 0.000 0.000 7.78 372.508 5798.39 277628.4034 0.813 0.809 0.817

97-100 2464-2540 380 0.742 4.014 192.213 0.162 7.757 0.135 6.464 0.000 0.000 3.716 177.923 5802.106 277806.3264 0.761 0.757 0.765

93-97 2362-2464 379 0.748 5.230 250.399 0.204 9.768 0.176 8.427 0.000 0.000 4.846 232.028 5806.952 278038.3541 0.767 0.763 0.771

* 85-93 2159-2362 378 0.566 18.031 863.340 0.368 17.620 0.338 16.184 7.336 351.261 9.989 478.276 5816.941 278516.63 0.76 0.756 0.764

81-85 2057-2159 377 0.737 5.474 262.086 0.164 7.852 0.162 7.757 0.000 0.000 5.143 246.248 5822.084 278762.8782 0.752 0.748 0.75678-81 1981-2057 376 0.637 5.661 271.037 0.115 5.506 0.119 5.698 0.000 0.000 5.426 259.798 5827.51 279022.6765 0.652 0.649 0.65575-78 1905-1981 375 0.624 5.853 280.238 0.108 5.171 0.116 5.554 0.000 0.000 5.629 269.518 5833.139 279292.1944 0.639 0.636 0.64272-75 1829-1905 374 0.549 7.027 336.434 0.100 4.788 0.113 5.410 0.000 0.000 6.811 326.112 5839.95 279618.3069 0.563 0.560 0.566

* 67-72 1702-1829 373 0.444 14.448 691.766 0.151 7.230 0.183 8.762 3.674 175.905 10.44 499.870 5850.39 280118.1768 0.598 0.595 0.601

63-67 1600-1702 372 0.621 7.873 376.965 0.106 5.075 0.141 6.751 0.000 0.000 7.622 364.943 5858.012 280483.1201 0.633 0.630 0.63660-63 1524-1600 371 0.473 8.205 392.880 0.071 3.399 0.103 4.932 0.000 0.000 8.029 384.431 5866.041 280867.5507 0.485 0.483 0.48757-60 1448-1524 370 0.417 9.078 434.654 0.064 3.064 0.100 4.788 0.000 0.000 8.909 426.565 5874.95 281294.1159 0.428 0.426 0.43053-57 1346-1448 369 0.385 12.786 612.196 0.073 3.495 0.129 6.177 0.000 0.000 12.58 602.334 5887.53 281896.4495 0.394 0.392 0.396

* 46-53 1168-1346 368 0.278 26.232 1255.971 0.091 4.357 0.214 10.246 0.217 10.367 25.71 1231.001 5913.24 283127.4509 0.292 0.291 0.293

43-46 1092-1168 367 0.184 12.718 608.963 0.022 1.053 0.087 4.166 0.000 0.000 12.6 603.291 5925.84 283730.7421 0.191 0.190 0.19237-43 940-1092 366 0.056 29.405 1407.901 0.021 1.005 0.065 3.112 0.000 0.000 29.31 1403.370 5955.15 285134.1125 0.059 0.056 0.062

* 25-37 635-940 365 0.042 59.687 2857.826 0.004 0.192 0.000 0.000 0.333 15.941 59.35 2841.693 6014.5 287975.8057 0.047 0.045 0.049

13-25 330-635 364 0.036 60.108 2877.967 0.004 0.192 0.000 0.000 0.000 0.000 60.09 2877.125 6074.59 290852.9304 0.036 0.034 0.038

* 0-13 0-330 363 0.022 66.018 3160.940 0.004 0.192 0.000 0.000 -0.276 -13.234 66.29 3173.982 6140.88 294026.9126 0.018 0.017 0.019

Results for RBHT Test 1655

Valid Time Period 2980 to 3131 seconds

Collapsed Liquid Level = 78.123 inches = 1984.32 mm

 (Zosv) Onset of Significant Void = 40 inches = 1016 mm

Table A-209 Data Results for RBHT Test 1655 for Time Period 2980 to 3131 seconds
A-630

Table A-210 Energy Balance Results for RBHT Test 1655G for Time Period 2980 to 3131 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4655.7942 14.687 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

0.25 6.35 4914.4495 15.503 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

0.50 12.70 5173.1047 16.319 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

0.75 19.05 5431.7599 17.135 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

1.00 25.40 5690.4152 17.951 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

1.25 31.75 5949.0704 18.767 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

1.50 38.10 6207.7256 19.583 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

1.75 44.45 6466.3809 20.399 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

2.00 50.80 6725.0361 21.215 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

2.25 57.15 6983.6913 22.031 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

2.50 63.50 7242.3466 22.846 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

2.75 69.85 7501.0018 23.662 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

3.00 76.20 7759.657 24.478 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

3.25 82.55 8018.3123 25.294 0.00E+00 0.00E+00 0.00E+00 8.64E-02 3.92E-02

3.50 88.90 8276.9675 26.11 4.37E-03 2.31E-01 1.05E-01 8.60E-02 3.90E-02

3.75 95.25 8535.6227 26.926 1.48E-02 7.84E-01 3.55E-01 8.51E-02 3.86E-02

4.00 101.60 8794.278 27.742 2.56E-02 1.35E+00 6.14E-01 8.42E-02 3.82E-02

4.25 107.95 9052.9332 28.558 3.66E-02 1.94E+00 8.80E-01 8.32E-02 3.78E-02

4.50 114.30 9311.5885 29.374 4.80E-02 2.54E+00 1.15E+00 8.23E-02 3.73E-02

4.75 120.65 9570.2437 30.19 5.98E-02 3.16E+00 1.44E+00 8.12E-02 3.69E-02

5.00 127.00 9828.8989 31.006 7.18E-02 3.80E+00 1.72E+00 8.02E-02 3.64E-02

5.25 133.35 10087.554 31.822 8.42E-02 4.46E+00 2.02E+00 7.91E-02 3.59E-02

5.50 139.70 10346.209 32.638 9.68E-02 5.13E+00 2.33E+00 7.80E-02 3.54E-02

5.75 146.05 10604.865 33.454 1.10E-01 5.81E+00 2.64E+00 7.69E-02 3.49E-02

6.00 152.40 10863.52 34.27 1.23E-01 6.52E+00 2.96E+00 7.58E-02 3.44E-02

6.25 158.75 11122.175 35.086 1.37E-01 7.24E+00 3.29E+00 7.46E-02 3.38E-02

6.50 165.10 11380.83 35.902 1.51E-01 7.98E+00 3.62E+00 7.34E-02 3.33E-02

6.75 171.45 11639.486 36.718 1.65E-01 8.74E+00 3.96E+00 7.21E-02 3.27E-02

7.00 177.80 11898.141 37.534 1.80E-01 9.51E+00 4.32E+00 7.09E-02 3.21E-02

7.25 184.15 12156.796 38.349 1.95E-01 1.03E+01 4.67E+00 6.96E-02 3.16E-02

7.50 190.50 12415.451 39.165 2.10E-01 1.11E+01 5.04E+00 6.83E-02 3.10E-02

7.75 196.85 12674.107 39.981 2.25E-01 1.19E+01 5.41E+00 6.69E-02 3.04E-02

8.00 203.20 12932.762 40.797 2.41E-01 1.28E+01 5.79E+00 6.56E-02 2.97E-02

8.25 209.55 13191.417 41.613 2.58E-01 1.36E+01 6.19E+00 6.41E-02 2.91E-02

8.50 215.90 13450.072 42.429 2.74E-01 1.45E+01 6.58E+00 6.27E-02 2.85E-02

8.75 222.25 13708.727 43.245 2.91E-01 1.54E+01 6.99E+00 6.13E-02 2.78E-02

9.00 228.60 13967.383 44.061 3.08E-01 1.63E+01 7.40E+00 5.98E-02 2.71E-02

9.25 234.95 13191.417 41.613 3.25E-01 1.72E+01 7.80E+00 5.83E-02 2.65E-02

9.50 241.30 12415.451 39.165 3.41E-01 1.80E+01 8.19E+00 5.70E-02 2.58E-02

9.75 247.65 11639.486 36.718 3.56E-01 1.88E+01 8.54E+00 5.57E-02 2.52E-02

10.00 254.00 10863.52 34.27 3.70E-01 1.96E+01 8.88E+00 5.45E-02 2.47E-02

10.25 260.35 10087.554 31.822 3.83E-01 2.03E+01 9.19E+00 5.33E-02 2.42E-02

10.50 266.70 9311.5885 29.374 3.95E-01 2.09E+01 9.48E+00 5.23E-02 2.37E-02

10.75 273.05 8535.6227 26.926 4.06E-01 2.15E+01 9.75E+00 5.13E-02 2.33E-02

11.00 279.40 7759.657 24.478 4.16E-01 2.20E+01 9.99E+00 5.05E-02 2.29E-02

11.25 285.75 6983.6913 22.031 4.25E-01 2.25E+01 1.02E+01 4.97E-02 2.25E-02

11.50 292.10 6207.7256 19.583 4.33E-01 2.29E+01 1.04E+01 4.90E-02 2.22E-02

11.75 298.45 5431.7599 17.135 4.41E-01 2.33E+01 1.06E+01 4.83E-02 2.19E-02

12.00 304.80 4655.7942 14.687 4.47E-01 2.37E+01 1.07E+01 4.78E-02 2.17E-02

Results for RBHT Test 1655

Valid Time Period 2980 to 3131 seconds
A-631

Figure A-525 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655G for Time Period 2980 to 3131 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-632

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-H 

Test Conditions

Date: 7/7/2003

Steady-state time window: 950 – 1050 seconds

Inlet flow rate: 2.037 cm/sec (0.802 in./sec) 

Inlet mass flow rate: 0.096 kg/sec (0.212 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-633

Figure A-526 Inlet Flow Plot for Experiment 1655H 

Figure A-527 Inlet Temperature Plot for Experiment 1655H 
A-634

Figure A-528 System Pressure Plot for Experiment 1655H 

Figure A-529 Bundle Power Plot for Experiment 1655H 
A-635

Table A-211: Data Results for RBHT Test 1655 for Time Period 950 to 1050 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.856 8.247 394.869 0.743 35.575 0.184 8.810 0.000 0.000 7.32 350.483 5767.32 276140.7638 0.872 0.868 0.876

* 120-133 3048-3378 383 0.813 12.599 603.244 0.814 38.975 0.328 15.705 2.085 99.831 9.372 448.734 5776.692 276589.4976 0.861 0.857 0.865

* 108-120 2743-3048 382 0.765 14.645 701.215 0.666 31.888 0.410 19.631 3.586 171.708 9.983 477.989 5786.675 277067.4862 0.84 0.836 0.844

100-108 2540-2743 381 0.813 7.790 372.987 0.390 18.673 0.300 14.364 0.000 0.000 7.1 339.950 5793.775 277407.436 0.829 0.825 0.833

97-100 2464-2540 380 0.765 3.666 175.553 0.134 6.416 0.108 5.171 0.000 0.000 3.425 163.990 5797.2 277571.4259 0.78 0.776 0.784

93-97 2362-2464 379 0.771 4.757 227.771 0.170 8.140 0.141 6.751 0.000 0.000 4.446 212.876 5801.646 277784.3015 0.786 0.782 0.790

* 85-93 2159-2362 378 0.600 16.613 795.457 0.308 14.747 0.271 12.976 6.747 323.070 9.287 444.664 5810.933 278228.9654 0.776 0.772 0.780

81-85 2057-2159 377 0.754 5.110 244.679 0.138 6.607 0.130 6.224 0.000 0.000 4.841 231.788 5815.774 278460.7538 0.767 0.763 0.77178-81 1981-2057 376 0.669 5.152 246.669 0.097 4.644 0.095 4.549 0.000 0.000 4.957 237.342 5820.731 278698.0962 0.682 0.679 0.68575-78 1905-1981 375 0.652 5.427 259.848 0.091 4.357 0.093 4.453 0.000 0.000 5.241 250.940 5825.972 278949.0366 0.664 0.661 0.66772-75 1829-1905 374 0.602 6.196 296.649 0.086 4.118 0.091 4.357 0.000 0.000 6.015 288.000 5831.987 279237.0364 0.614 0.611 0.617

* 67-72 1702-1829 373 0.462 13.965 668.641 0.131 6.272 0.146 6.991 4.518 216.317 9.17 439.062 5841.157 279676.0983 0.647 0.644 0.650

63-67 1600-1702 372 0.670 6.860 328.477 0.094 4.501 0.113 5.410 0.000 0.000 6.652 318.499 5847.809 279994.5978 0.68 0.677 0.68360-63 1524-1600 371 0.523 7.426 355.581 0.064 3.064 0.082 3.926 0.000 0.000 7.276 348.377 5855.085 280342.9746 0.533 0.530 0.53657-60 1448-1524 370 0.461 8.392 401.831 0.058 2.777 0.080 3.830 0.000 0.000 8.253 395.156 5863.338 280738.1303 0.47 0.468 0.47253-57 1346-1448 369 0.425 11.950 572.162 0.069 3.304 0.103 4.932 0.000 0.000 11.77 563.551 5875.108 281301.6809 0.433 0.431 0.435

* 46-53 1168-1346 368 0.304 25.292 1210.964 0.097 4.644 0.172 8.235 3.633 173.926 21.39 1024.159 5896.498 282325.8396 0.411 0.409 0.413

43-46 1092-1168 367 0.383 9.613 460.266 0.031 1.484 0.070 3.352 0.000 0.000 9.51 455.341 5906.008 282781.1809 0.389 0.387 0.39137-43 940-1092 366 0.210 24.606 1178.141 0.041 1.963 0.134 6.416 0.000 0.000 24.43 1169.715 5930.438 283950.8956 0.216 0.215 0.217

* 25-37 635-940 365 0.050 59.230 2835.944 0.031 1.484 0.050 2.394 4.789 229.295 54.36 2602.771 5984.798 286553.6663 0.127 0.126 0.128

13-25 330-635 364 0.039 59.895 2867.772 0.002 0.096 0.000 0.000 0.000 0.000 59.87 2866.591 6044.668 289420.2573 0.039 0.037 0.041

* 0-13 0-330 363 0.023 65.935 3156.962 0.003 0.144 0.000 0.000 -0.248 -11.897 66.18 3168.715 6110.848 292588.9727 0.02 0.019 0.021

Results for RBHT Test 1655

Valid Time Period 950 to 1050 seconds

Collapsed Liquid Level = 72.840 inches = 1850.13 mm

 (Zosv) Onset of Significant Void = 31 inches = 787.5 mm

Table A-211 Data Results for RBHT Test 1655 for Time Period 950 to 1050 seconds
A-636

Table A-212 Energy Balance Results for RBHT Test 1655H for Time Period 950 to 1050 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4658.7267 14.696 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

0.25 6.35 4917.5448 15.513 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

0.50 12.70 5176.363 16.329 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

0.75 19.05 5435.1811 17.146 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

1.00 25.40 5693.9993 17.962 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

1.25 31.75 5952.8174 18.779 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

1.50 38.10 6211.6356 19.595 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

1.75 44.45 6470.4537 20.412 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

2.00 50.80 6729.2719 21.228 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

2.25 57.15 6988.09 22.044 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

2.50 63.50 7246.9082 22.861 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

2.75 69.85 7505.7263 23.677 0.00E+00 0.00E+00 0.00E+00 6.93E-02 3.14E-02

3.00 76.20 7764.5445 24.494 5.40E-03 2.29E-01 1.04E-01 6.90E-02 3.13E-02

3.25 82.55 8023.3626 25.31 1.76E-02 7.47E-01 3.39E-01 6.81E-02 3.09E-02

3.50 88.90 8282.1808 26.127 3.02E-02 1.28E+00 5.81E-01 6.72E-02 3.05E-02

3.75 95.25 8540.9989 26.943 4.33E-02 1.83E+00 8.32E-01 6.63E-02 3.01E-02

4.00 101.60 8799.8171 27.76 5.67E-02 2.40E+00 1.09E+00 6.54E-02 2.97E-02

4.25 107.95 9058.6352 28.576 7.05E-02 2.99E+00 1.36E+00 6.44E-02 2.92E-02

4.50 114.30 9317.4534 29.393 8.47E-02 3.59E+00 1.63E+00 6.35E-02 2.88E-02

4.75 120.65 9576.2715 30.209 9.93E-02 4.21E+00 1.91E+00 6.24E-02 2.83E-02

5.00 127.00 9835.0897 31.025 1.14E-01 4.85E+00 2.20E+00 6.14E-02 2.79E-02

5.25 133.35 10093.908 31.842 1.30E-01 5.50E+00 2.50E+00 6.03E-02 2.74E-02

5.50 139.70 10352.726 32.658 1.46E-01 6.17E+00 2.80E+00 5.92E-02 2.69E-02

5.75 146.05 10611.544 33.475 1.62E-01 6.86E+00 3.11E+00 5.81E-02 2.64E-02

6.00 152.40 10870.362 34.291 1.78E-01 7.56E+00 3.43E+00 5.70E-02 2.58E-02

6.25 158.75 11129.18 35.108 1.95E-01 8.28E+00 3.76E+00 5.58E-02 2.53E-02

6.50 165.10 11387.999 35.924 2.13E-01 9.03E+00 4.09E+00 5.46E-02 2.48E-02

6.75 171.45 11646.817 36.741 2.31E-01 9.78E+00 4.44E+00 5.33E-02 2.42E-02

7.00 177.80 11905.635 37.557 2.49E-01 1.06E+01 4.79E+00 5.21E-02 2.36E-02

7.25 184.15 12164.453 38.374 2.68E-01 1.13E+01 5.14E+00 5.08E-02 2.30E-02

7.50 190.50 12423.271 39.19 2.87E-01 1.21E+01 5.51E+00 4.95E-02 2.24E-02

7.75 196.85 12682.089 40.007 3.06E-01 1.30E+01 5.88E+00 4.81E-02 2.18E-02

8.00 203.20 12940.907 40.823 3.26E-01 1.38E+01 6.26E+00 4.67E-02 2.12E-02

8.25 209.55 13199.726 41.639 3.46E-01 1.47E+01 6.65E+00 4.53E-02 2.06E-02

8.50 215.90 13458.544 42.456 3.67E-01 1.55E+01 7.05E+00 4.39E-02 1.99E-02

8.75 222.25 13717.362 43.272 3.88E-01 1.64E+01 7.45E+00 4.24E-02 1.93E-02

9.00 228.60 13976.18 44.089 4.09E-01 1.73E+01 7.87E+00 4.10E-02 1.86E-02

9.25 234.95 13199.726 41.639 4.30E-01 1.82E+01 8.27E+00 3.95E-02 1.79E-02

9.50 241.30 12423.271 39.19 4.50E-01 1.91E+01 8.65E+00 3.81E-02 1.73E-02

9.75 247.65 11646.817 36.741 4.69E-01 1.99E+01 9.01E+00 3.68E-02 1.67E-02

10.00 254.00 10870.362 34.291 4.86E-01 2.06E+01 9.35E+00 3.56E-02 1.62E-02

10.25 260.35 10093.908 31.842 5.02E-01 2.13E+01 9.66E+00 3.45E-02 1.57E-02

10.50 266.70 9317.4534 29.393 5.17E-01 2.19E+01 9.95E+00 3.35E-02 1.52E-02

10.75 273.05 8540.9989 26.943 5.31E-01 2.25E+01 1.02E+01 3.25E-02 1.47E-02

11.00 279.40 7764.5445 24.494 5.44E-01 2.30E+01 1.05E+01 3.16E-02 1.43E-02

11.25 285.75 6988.09 22.044 5.55E-01 2.35E+01 1.07E+01 3.08E-02 1.40E-02

11.50 292.10 6211.6356 19.595 5.65E-01 2.40E+01 1.09E+01 3.01E-02 1.37E-02

11.75 298.45 5435.1811 17.146 5.74E-01 2.43E+01 1.10E+01 2.95E-02 1.34E-02

12.00 304.80 4658.7267 14.696 5.82E-01 2.47E+01 1.12E+01 2.90E-02 1.31E-02

Results for RBHT Test 1655

Valid Time Period 950 to 1050 seconds
A-637

Figure A-530 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655H for Time Period 950 to 1050 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-638

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-I 

Test Conditions

Date: 7/7/2003

Steady-state time window: 3402 – 3510 seconds

Inlet flow rate: 2.037 cm/sec (0.802 in./sec) 

Inlet mass flow rate: 0.096 kg/sec (0.212 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-639

Figure A-531 Inlet Flow Plot for Experiment 1655I 

Figure A-532 Inlet Temperature Plot for Experiment 1655I 
A-640

Figure A-533 System Pressure Plot for Experiment 1655I 

Figure A-534 Bundle Power Plot for Experiment 1655I 
A-641

Table A-213: Data Results for RBHT Test 1655 for Time Period 3402 to 3510 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.860 7.993 382.685 0.745 35.671 0.184 8.810 0.000 0.000 7.06 338.035 5767.06 276128.3149 0.876 0.872 0.880

* 120-133 3048-3378 383 0.816 12.407 594.044 0.817 39.118 0.328 15.705 2.189 104.803 9.073 434.418 5776.133 276562.7325 0.866 0.862 0.870

* 108-120 2743-3048 382 0.768 14.443 691.518 0.669 32.032 0.410 19.631 3.642 174.363 9.722 465.492 5785.855 277028.2244 0.844 0.840 0.848

100-108 2540-2743 381 0.817 7.624 365.030 0.392 18.769 0.300 14.364 0.000 0.000 6.93 331.810 5792.785 277360.0345 0.833 0.829 0.837

97-100 2464-2540 380 0.772 3.557 170.331 0.135 6.464 0.109 5.219 0.000 0.000 3.314 158.675 5796.099 277518.7097 0.787 0.783 0.791

93-97 2362-2464 379 0.774 4.695 224.787 0.171 8.188 0.141 6.751 0.000 0.000 4.38 209.716 5800.479 277728.4252 0.789 0.785 0.793

* 85-93 2159-2362 378 0.609 16.240 777.553 0.309 14.795 0.271 12.976 6.512 311.774 9.148 438.009 5809.627 278166.4338 0.78 0.776 0.784

81-85 2057-2159 377 0.758 5.038 241.198 0.139 6.655 0.130 6.224 0.000 0.000 4.767 228.245 5814.394 278394.679 0.77 0.766 0.77478-81 1981-2057 376 0.679 5.006 239.706 0.098 4.692 0.095 4.549 0.000 0.000 4.812 230.400 5819.206 278625.0788 0.691 0.688 0.69475-78 1905-1981 375 0.658 5.328 255.123 0.092 4.405 0.093 4.453 0.000 0.000 5.14 246.105 5824.346 278871.1833 0.67 0.667 0.67372-75 1829-1905 374 0.608 6.107 292.422 0.087 4.166 0.091 4.357 0.000 0.000 5.927 283.786 5830.273 279154.9696 0.62 0.617 0.623

* 67-72 1702-1829 373 0.467 13.830 662.176 0.132 6.320 0.146 6.991 4.565 218.566 8.987 430.300 5839.26 279585.2695 0.654 0.651 0.657

63-67 1600-1702 372 0.678 6.689 320.271 0.095 4.549 0.113 5.410 0.000 0.000 6.478 310.168 5845.738 279895.4378 0.688 0.685 0.69160-63 1524-1600 371 0.534 7.265 347.873 0.065 3.112 0.082 3.926 0.000 0.000 7.115 340.668 5852.853 280236.1058 0.543 0.540 0.54657-60 1448-1524 370 0.468 8.283 396.609 0.059 2.825 0.080 3.830 0.000 0.000 8.143 389.889 5860.996 280625.9948 0.477 0.475 0.47953-57 1346-1448 369 0.438 11.680 559.232 0.070 3.352 0.103 4.932 0.000 0.000 11.5 550.623 5872.496 281176.6177 0.446 0.444 0.448

* 46-53 1168-1346 368 0.317 24.845 1189.580 0.099 4.740 0.172 8.235 4.044 193.623 20.53 982.982 5893.026 282159.5994 0.435 0.433 0.437

43-46 1092-1168 367 0.418 9.073 434.405 0.032 1.532 0.070 3.352 0.000 0.000 8.966 429.294 5901.992 282588.8938 0.424 0.422 0.42637-43 940-1092 366 0.252 23.308 1115.977 0.044 2.107 0.134 6.416 0.000 0.000 23.12 1106.992 5925.112 283695.8853 0.258 0.257 0.259

* 25-37 635-940 365 0.050 59.194 2834.204 0.035 1.676 0.062 2.969 6.037 289.033 53.06 2540.526 5978.172 286236.4118 0.148 0.147 0.149

13-25 330-635 364 0.039 59.884 2867.275 0.003 0.144 0.000 0.000 0.000 0.000 59.86 2866.112 6038.032 289102.5239 0.039 0.037 0.041

* 0-13 0-330 363 0.023 65.945 3157.459 0.003 0.144 0.000 0.000 -0.228 -10.921 66.17 3168.237 6104.202 292270.7605 0.02 0.019 0.021

Results for RBHT Test 1655

Valid Time Period 3402 to 3510 seconds

Collapsed Liquid Level = 72.500 inches = 1841.49 mm

 (Zosv) Onset of Significant Void = 31 inches = 787.5 mm

Table A-213 Data Results for RBHT Test 1655 for Time Period 3402 to 3510 seconds
A-642

Table A-214 Energy Balance Results for RBHT Test 1655I for Time Period 3402 to 3510 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4657.6596 14.693 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

0.25 6.35 4916.4185 15.509 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

0.50 12.70 5175.1773 16.325 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

0.75 19.05 5433.9362 17.142 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

1.00 25.40 5692.6951 17.958 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

1.25 31.75 5951.4539 18.774 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

1.50 38.10 6210.2128 19.591 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

1.75 44.45 6468.9717 20.407 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

2.00 50.80 6727.7305 21.223 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

2.25 57.15 6986.4894 22.039 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

2.50 63.50 7245.2483 22.856 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

2.75 69.85 7504.0071 23.672 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

3.00 76.20 7762.766 24.488 7.58E-03 3.21E-01 1.46E-01 6.88E-02 3.12E-02

3.25 82.55 8021.5249 25.304 1.98E-02 8.39E-01 3.81E-01 6.80E-02 3.08E-02

3.50 88.90 8280.2837 26.121 3.24E-02 1.37E+00 6.23E-01 6.71E-02 3.04E-02

3.75 95.25 8539.0426 26.937 4.54E-02 1.93E+00 8.73E-01 6.62E-02 3.00E-02

4.00 101.60 8797.8015 27.753 5.88E-02 2.49E+00 1.13E+00 6.53E-02 2.96E-02

4.25 107.95 9056.5603 28.57 7.26E-02 3.08E+00 1.40E+00 6.43E-02 2.92E-02

4.50 114.30 9315.3192 29.386 8.68E-02 3.68E+00 1.67E+00 6.33E-02 2.87E-02

4.75 120.65 9574.0781 30.202 1.01E-01 4.30E+00 1.95E+00 6.23E-02 2.83E-02

5.00 127.00 9832.8369 31.018 1.16E-01 4.94E+00 2.24E+00 6.13E-02 2.78E-02

5.25 133.35 10091.596 31.835 1.32E-01 5.59E+00 2.54E+00 6.02E-02 2.73E-02

5.50 139.70 10350.355 32.651 1.48E-01 6.26E+00 2.84E+00 5.91E-02 2.68E-02

5.75 146.05 10609.114 33.467 1.64E-01 6.95E+00 3.15E+00 5.80E-02 2.63E-02

6.00 152.40 10867.872 34.283 1.81E-01 7.65E+00 3.47E+00 5.68E-02 2.58E-02

6.25 158.75 11126.631 35.1 1.98E-01 8.38E+00 3.80E+00 5.57E-02 2.52E-02

6.50 165.10 11385.39 35.916 2.15E-01 9.11E+00 4.13E+00 5.45E-02 2.47E-02

6.75 171.45 11644.149 36.732 2.33E-01 9.87E+00 4.48E+00 5.32E-02 2.41E-02

7.00 177.80 11902.908 37.549 2.51E-01 1.06E+01 4.83E+00 5.20E-02 2.36E-02

7.25 184.15 12161.667 38.365 2.70E-01 1.14E+01 5.18E+00 5.07E-02 2.30E-02

7.50 190.50 12420.426 39.181 2.89E-01 1.22E+01 5.55E+00 4.93E-02 2.24E-02

7.75 196.85 12679.184 39.997 3.08E-01 1.31E+01 5.92E+00 4.80E-02 2.18E-02

8.00 203.20 12937.943 40.814 3.28E-01 1.39E+01 6.31E+00 4.66E-02 2.11E-02

8.25 209.55 13196.702 41.63 3.48E-01 1.48E+01 6.69E+00 4.52E-02 2.05E-02

8.50 215.90 13455.461 42.446 3.69E-01 1.56E+01 7.09E+00 4.38E-02 1.99E-02

8.75 222.25 13714.22 43.262 3.90E-01 1.65E+01 7.49E+00 4.23E-02 1.92E-02

9.00 228.60 13972.979 44.079 4.11E-01 1.74E+01 7.91E+00 4.09E-02 1.85E-02

9.25 234.95 13196.702 41.63 4.32E-01 1.83E+01 8.31E+00 3.94E-02 1.79E-02

9.50 241.30 12420.426 39.181 4.52E-01 1.92E+01 8.69E+00 3.80E-02 1.72E-02

9.75 247.65 11644.149 36.732 4.71E-01 2.00E+01 9.05E+00 3.67E-02 1.67E-02

10.00 254.00 10867.872 34.283 4.88E-01 2.07E+01 9.38E+00 3.55E-02 1.61E-02

10.25 260.35 10091.596 31.835 5.04E-01 2.14E+01 9.70E+00 3.44E-02 1.56E-02

10.50 266.70 9315.3192 29.386 5.19E-01 2.20E+01 9.98E+00 3.34E-02 1.51E-02

10.75 273.05 8539.0426 26.937 5.33E-01 2.26E+01 1.03E+01 3.24E-02 1.47E-02

11.00 279.40 7762.766 24.488 5.46E-01 2.31E+01 1.05E+01 3.15E-02 1.43E-02

11.25 285.75 6986.4894 22.039 5.57E-01 2.36E+01 1.07E+01 3.07E-02 1.39E-02

11.50 292.10 6210.2128 19.591 5.67E-01 2.40E+01 1.09E+01 3.00E-02 1.36E-02

11.75 298.45 5433.9362 17.142 5.76E-01 2.44E+01 1.11E+01 2.94E-02 1.33E-02

12.00 304.80 4657.6596 14.693 5.84E-01 2.48E+01 1.12E+01 2.89E-02 1.31E-02

Results for RBHT Test 1655

Valid Time Period 3402 to 3510 seconds
A-643

Figure A-535 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655I for Time Period 3402 to 3510 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-644

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-J 

Test Conditions

Date: 7/7/2003

Steady-state time window: 3670 – 3810 seconds

Inlet flow rate: 2.027 cm/sec (0.798 in./sec) 

Inlet mass flow rate: 0.096 kg/sec (0.211 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-645

Figure A-536 Inlet Flow Plot for Experiment 1655J 

Figure A-537 Inlet Temperature Plot for Experiment 1655J 
A-646

Figure A-538 System Pressure Plot for Experiment 1655J 

Figure A-539 Bundle Power Plot for Experiment 1655J 
A-647

Table A-215: Data Results for RBHT Test 1655 for Time Period 3670 to 3810 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.861 7.946 380.447 0.743 35.575 0.183 8.762 0.000 0.000 7.019 336.072 5767.019 276126.3518 0.877 0.873 0.881

* 120-133 3048-3378 383 0.818 12.272 587.579 0.814 38.975 0.327 15.657 2.104 100.732 9.027 432.215 5776.046 276558.5669 0.866 0.862 0.870

* 108-120 2743-3048 382 0.769 14.396 689.280 0.667 31.936 0.408 19.535 3.636 174.088 9.685 463.720 5785.731 277022.2872 0.845 0.841 0.849

100-108 2540-2743 381 0.817 7.598 363.787 0.390 18.673 0.298 14.268 0.000 0.000 6.907 330.709 5792.638 277352.9961 0.834 0.830 0.838

97-100 2464-2540 380 0.771 3.563 170.579 0.135 6.464 0.108 5.171 0.000 0.000 3.319 158.915 5795.957 277511.9107 0.787 0.783 0.791

93-97 2362-2464 379 0.774 4.695 224.787 0.170 8.140 0.141 6.751 0.000 0.000 4.381 209.763 5800.338 277721.6741 0.789 0.785 0.793

* 85-93 2159-2362 378 0.608 16.297 780.289 0.308 14.747 0.270 12.928 6.617 316.808 9.102 435.806 5809.44 278157.4802 0.781 0.777 0.785

81-85 2057-2159 377 0.760 4.991 238.960 0.139 6.655 0.129 6.177 0.000 0.000 4.721 226.043 5814.161 278383.5229 0.773 0.769 0.77778-81 1981-2057 376 0.679 5.006 239.706 0.097 4.644 0.095 4.549 0.000 0.000 4.814 230.496 5818.975 278614.0185 0.691 0.688 0.69475-78 1905-1981 375 0.659 5.308 254.128 0.092 4.405 0.092 4.405 0.000 0.000 5.121 245.195 5824.096 278859.2133 0.671 0.668 0.67472-75 1829-1905 374 0.608 6.102 292.173 0.086 4.118 0.090 4.309 0.000 0.000 5.922 283.547 5830.018 279142.7602 0.62 0.617 0.623

* 67-72 1702-1829 373 0.470 13.752 658.446 0.132 6.320 0.146 6.991 4.500 215.458 8.974 429.677 5838.992 279572.4376 0.654 0.651 0.657

63-67 1600-1702 372 0.679 6.673 319.525 0.094 4.501 0.112 5.363 0.000 0.000 6.463 309.450 5845.455 279881.8877 0.689 0.686 0.69260-63 1524-1600 371 0.536 7.229 346.132 0.065 3.112 0.082 3.926 0.000 0.000 7.082 339.088 5852.537 280220.9757 0.545 0.542 0.54857-60 1448-1524 370 0.470 8.263 395.615 0.059 2.825 0.080 3.830 0.000 0.000 8.12 388.788 5860.657 280609.7633 0.479 0.477 0.48153-57 1346-1448 369 0.438 11.675 558.983 0.070 3.352 0.103 4.932 0.000 0.000 11.5 550.623 5872.157 281160.3863 0.446 0.444 0.448

* 46-53 1168-1346 368 0.318 24.798 1187.342 0.099 4.740 0.171 8.188 4.038 193.348 20.49 981.066 5892.647 282141.4528 0.436 0.434 0.438

43-46 1092-1168 367 0.420 9.042 432.914 0.032 1.532 0.070 3.352 0.000 0.000 8.937 427.906 5901.584 282569.3586 0.426 0.424 0.42837-43 940-1092 366 0.261 23.038 1103.047 0.045 2.155 0.133 6.368 0.000 0.000 22.85 1094.064 5924.434 283663.4225 0.266 0.265 0.267

* 25-37 635-940 365 0.051 59.147 2831.966 0.036 1.724 0.065 3.112 6.266 300.010 52.78 2527.120 5977.214 286190.5425 0.153 0.152 0.154

13-25 330-635 364 0.039 59.884 2867.275 0.002 0.096 0.000 0.000 0.000 0.000 59.86 2866.112 6037.074 289056.6546 0.039 0.037 0.041

* 0-13 0-330 363 0.023 65.950 3157.708 0.003 0.144 0.000 0.000 -0.223 -10.673 66.17 3168.237 6103.244 292224.8913 0.02 0.019 0.021

Results for RBHT Test 1655

Valid Time Period 3670 to 3810 seconds

Collapsed Liquid Level = 72.362 inches = 1838.00 mm

 (Zosv) Onset of Significant Void = 31 inches = 787.5 mm

Table A-215 Data Results for RBHT Test 1655 for Time Period 3670 to 3810 seconds
A-648

Table A-216 Energy Balance Results for RBHT Test 1655J for Time Period 3670 to 3810 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4655.1418 14.685 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

0.25 6.35 4913.7608 15.501 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

0.50 12.70 5172.3798 16.317 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

0.75 19.05 5430.9987 17.132 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

1.00 25.40 5689.6177 17.948 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

1.25 31.75 5948.2367 18.764 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

1.50 38.10 6206.8557 19.58 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

1.75 44.45 6465.4747 20.396 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

2.00 50.80 6724.0937 21.212 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

2.25 57.15 6982.7127 22.027 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

2.50 63.50 7241.3317 22.843 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

2.75 69.85 7499.9506 23.659 0.00E+00 0.00E+00 0.00E+00 6.90E-02 3.13E-02

3.00 76.20 7758.5696 24.475 8.25E-03 3.49E-01 1.58E-01 6.85E-02 3.11E-02

3.25 82.55 8017.1886 25.291 2.05E-02 8.66E-01 3.93E-01 6.76E-02 3.07E-02

3.50 88.90 8275.8076 26.107 3.32E-02 1.40E+00 6.36E-01 6.67E-02 3.03E-02

3.75 95.25 8534.4266 26.922 4.62E-02 1.95E+00 8.86E-01 6.58E-02 2.99E-02

4.00 101.60 8793.0456 27.738 5.97E-02 2.52E+00 1.14E+00 6.49E-02 2.94E-02

4.25 107.95 9051.6646 28.554 7.36E-02 3.11E+00 1.41E+00 6.40E-02 2.90E-02

4.50 114.30 9310.2836 29.37 8.78E-02 3.71E+00 1.68E+00 6.30E-02 2.86E-02

4.75 120.65 9568.9025 30.186 1.03E-01 4.33E+00 1.96E+00 6.20E-02 2.81E-02

5.00 127.00 9827.5215 31.002 1.18E-01 4.97E+00 2.25E+00 6.09E-02 2.76E-02

5.25 133.35 10086.141 31.817 1.33E-01 5.62E+00 2.55E+00 5.98E-02 2.71E-02

5.50 139.70 10344.76 32.633 1.49E-01 6.29E+00 2.85E+00 5.88E-02 2.66E-02

5.75 146.05 10603.378 33.449 1.65E-01 6.98E+00 3.17E+00 5.76E-02 2.61E-02

6.00 152.40 10861.997 34.265 1.82E-01 7.68E+00 3.49E+00 5.65E-02 2.56E-02

6.25 158.75 11120.616 35.081 1.99E-01 8.41E+00 3.81E+00 5.53E-02 2.51E-02

6.50 165.10 11379.235 35.897 2.16E-01 9.14E+00 4.15E+00 5.41E-02 2.45E-02

6.75 171.45 11637.854 36.712 2.34E-01 9.90E+00 4.49E+00 5.29E-02 2.40E-02

7.00 177.80 11896.473 37.528 2.53E-01 1.07E+01 4.84E+00 5.16E-02 2.34E-02

7.25 184.15 12155.092 38.344 2.71E-01 1.15E+01 5.20E+00 5.03E-02 2.28E-02

7.50 190.50 12413.711 39.16 2.90E-01 1.23E+01 5.56E+00 4.90E-02 2.22E-02

7.75 196.85 12672.33 39.976 3.10E-01 1.31E+01 5.94E+00 4.76E-02 2.16E-02

8.00 203.20 12930.949 40.792 3.30E-01 1.39E+01 6.32E+00 4.63E-02 2.10E-02

8.25 209.55 13189.568 41.607 3.50E-01 1.48E+01 6.71E+00 4.49E-02 2.03E-02

8.50 215.90 13448.187 42.423 3.71E-01 1.57E+01 7.10E+00 4.34E-02 1.97E-02

8.75 222.25 13706.806 43.239 3.92E-01 1.66E+01 7.51E+00 4.20E-02 1.90E-02

9.00 228.60 13965.425 44.055 4.13E-01 1.75E+01 7.92E+00 4.05E-02 1.84E-02

9.25 234.95 13189.568 41.607 4.35E-01 1.84E+01 8.33E+00 3.90E-02 1.77E-02

9.50 241.30 12413.711 39.16 4.54E-01 1.92E+01 8.71E+00 3.77E-02 1.71E-02

9.75 247.65 11637.854 36.712 4.73E-01 2.00E+01 9.06E+00 3.64E-02 1.65E-02

10.00 254.00 10861.997 34.265 4.91E-01 2.07E+01 9.40E+00 3.52E-02 1.60E-02

10.25 260.35 10086.141 31.817 5.07E-01 2.14E+01 9.71E+00 3.40E-02 1.54E-02

10.50 266.70 9310.2836 29.37 5.22E-01 2.20E+01 1.00E+01 3.30E-02 1.50E-02

10.75 273.05 8534.4266 26.922 5.36E-01 2.26E+01 1.03E+01 3.20E-02 1.45E-02

11.00 279.40 7758.5696 24.475 5.48E-01 2.32E+01 1.05E+01 3.12E-02 1.41E-02

11.25 285.75 6982.7127 22.027 5.60E-01 2.37E+01 1.07E+01 3.04E-02 1.38E-02

11.50 292.10 6206.8557 19.58 5.70E-01 2.41E+01 1.09E+01 2.97E-02 1.35E-02

11.75 298.45 5430.9987 17.132 5.79E-01 2.45E+01 1.11E+01 2.90E-02 1.32E-02

12.00 304.80 4655.1418 14.685 5.87E-01 2.48E+01 1.12E+01 2.85E-02 1.29E-02

Results for RBHT Test 1655

Valid Time Period 3670 to 3810 seconds
A-649

Figure A-540 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655J for Time Period 3670 to 3810 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-650

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-K 

Test Conditions

Date: 7/7/2003

Steady-state time window: 4490 – 4530 seconds

Inlet flow rate: 1.524 cm/sec (0.600 in./sec) 

Inlet mass flow rate: 0.072 kg/sec (0.159 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-651

Figure A-541 Inlet Flow Plot for Experiment 1655K 

Figure A-542 Inlet Temperature Plot for Experiment 1655K 
A-652

Figure A-543 System Pressure Plot for Experiment 1655K 

Figure A-544 Bundle Power Plot for Experiment 1655K 
A-653

Table A-217: Data Results for RBHT Test 1655 for Time Period 4370 to 4700 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.896 5.957 285.211 0.569 27.244 0.137 6.560 0.000 0.000 5.246 251.180 5765.246 276041.4601 0.908 0.903 0.913

* 120-133 3048-3378 383 0.858 9.592 459.271 0.629 30.117 0.245 11.731 1.762 84.369 6.956 333.055 5772.202 276374.5152 0.897 0.893 0.901

* 108-120 2743-3048 382 0.805 12.184 583.352 0.519 24.850 0.306 14.651 3.543 169.618 7.816 374.232 5780.018 276748.7473 0.875 0.871 0.879

100-108 2540-2743 381 0.851 6.206 297.146 0.305 14.603 0.224 10.725 0.000 0.000 5.676 271.768 5785.694 277020.5156 0.863 0.859 0.867

97-100 2464-2540 380 0.805 3.043 145.714 0.105 5.027 0.081 3.878 0.000 0.000 2.858 136.842 5788.552 277157.3574 0.817 0.813 0.821

93-97 2362-2464 379 0.804 4.077 195.197 0.133 6.368 0.106 5.075 0.000 0.000 3.839 183.812 5792.391 277341.1697 0.815 0.811 0.819

* 85-93 2159-2362 378 0.656 14.287 684.058 0.242 11.587 0.203 9.720 5.776 276.549 8.066 386.202 5800.457 277727.3719 0.806 0.802 0.810

81-85 2057-2159 377 0.787 4.435 212.354 0.109 5.219 0.097 4.644 0.000 0.000 4.227 202.390 5804.684 277929.7617 0.797 0.793 0.80178-81 1981-2057 376 0.720 4.362 208.873 0.077 3.687 0.071 3.399 0.000 0.000 4.213 201.720 5808.897 278131.4812 0.73 0.726 0.73475-78 1905-1981 375 0.698 4.705 225.284 0.073 3.495 0.069 3.304 0.000 0.000 4.564 218.525 5813.461 278350.0067 0.707 0.703 0.71172-75 1829-1905 374 0.653 5.411 259.102 0.069 3.304 0.068 3.256 0.000 0.000 5.273 252.473 5818.734 278602.4793 0.661 0.658 0.664

* 67-72 1702-1829 373 0.498 13.040 624.380 0.106 5.075 0.109 5.219 4.792 229.464 8.033 384.622 5826.767 278987.1014 0.691 0.688 0.694

63-67 1600-1702 372 0.712 5.988 286.703 0.077 3.687 0.084 4.022 0.000 0.000 5.822 278.759 5832.589 279265.8603 0.72 0.716 0.72460-63 1524-1600 371 0.607 6.128 293.416 0.053 2.538 0.061 2.921 0.000 0.000 6.012 287.856 5838.601 279553.7164 0.614 0.611 0.61757-60 1448-1524 370 0.537 7.219 345.635 0.049 2.346 0.060 2.873 0.000 0.000 7.108 340.333 5845.709 279894.0493 0.544 0.541 0.54753-57 1346-1448 369 0.493 10.542 504.776 0.060 2.873 0.077 3.687 0.000 0.000 10.4 497.955 5856.109 280392.0039 0.499 0.497 0.501

* 46-53 1168-1346 368 0.358 23.354 1118.215 0.088 4.213 0.128 6.129 5.058 242.198 18.08 865.675 5874.189 281257.679 0.502 0.499 0.505

43-46 1092-1168 367 0.500 7.785 372.738 0.031 1.484 0.052 2.490 0.000 0.000 7.696 368.486 5881.885 281626.1654 0.506 0.503 0.50937-43 940-1092 366 0.440 17.465 836.237 0.051 2.442 0.100 4.788 0.000 0.000 17.31 828.807 5899.195 282454.9727 0.444 0.442 0.446

* 25-37 635-940 365 0.169 51.809 2480.612 0.054 2.586 0.156 7.469 4.549 217.791 47.05 2252.766 5946.245 284707.7388 0.245 0.244 0.246

13-25 330-635 364 0.045 59.516 2849.620 0.001 0.048 0.000 0.000 0.000 0.000 59.49 2848.396 6005.735 287556.1353 0.045 0.043 0.047

* 0-13 0-330 363 0.025 65.846 3152.734 0.002 0.096 0.000 0.000 -0.126 -6.022 65.97 3158.661 6071.705 290714.7958 0.023 0.022 0.024

Results for RBHT Test 1655

Valid Time Period 4370 to 4700 seconds

Collapsed Liquid Level = 65.766 inches = 1670.46 mm

 (Zosv) Onset of Significant Void = 31 inches = 787.5 mm

Table A-217 Data Results for RBHT Test 1655 for Time Period 4370 to 4700 seconds
A-654

Table A-218 Energy Balance Results for RBHT Test 1655K for Time Period 4370 to 4700 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4655.4693 14.686 0.00E+00 0.00E+00 0.00E+00 5.19E-02 2.35E-02

0.25 6.35 4914.1065 15.502 0.00E+00 0.00E+00 0.00E+00 5.19E-02 2.35E-02

0.50 12.70 5172.7437 16.318 0.00E+00 0.00E+00 0.00E+00 5.19E-02 2.35E-02

0.75 19.05 5431.3808 17.134 0.00E+00 0.00E+00 0.00E+00 5.19E-02 2.35E-02

1.00 25.40 5690.018 17.95 0.00E+00 0.00E+00 0.00E+00 5.19E-02 2.35E-02

1.25 31.75 5948.6552 18.765 0.00E+00 0.00E+00 0.00E+00 5.19E-02 2.35E-02

1.50 38.10 6207.2924 19.581 0.00E+00 0.00E+00 0.00E+00 5.19E-02 2.35E-02

1.75 44.45 6465.9296 20.397 0.00E+00 0.00E+00 0.00E+00 5.19E-02 2.35E-02

2.00 50.80 6724.5668 21.213 0.00E+00 0.00E+00 0.00E+00 5.19E-02 2.35E-02

2.25 57.15 6983.2039 22.029 1.10E-03 3.49E-02 1.58E-02 5.18E-02 2.35E-02

2.50 63.50 7241.8411 22.845 1.58E-02 5.01E-01 2.27E-01 5.11E-02 2.32E-02

2.75 69.85 7500.4783 23.661 3.11E-02 9.84E-01 4.46E-01 5.03E-02 2.28E-02

3.00 76.20 7759.1155 24.477 4.68E-02 1.48E+00 6.73E-01 4.95E-02 2.24E-02

3.25 82.55 8017.7527 25.293 6.32E-02 2.00E+00 9.08E-01 4.86E-02 2.20E-02

3.50 88.90 8276.3899 26.108 8.00E-02 2.53E+00 1.15E+00 4.77E-02 2.17E-02

3.75 95.25 8535.027 26.924 9.74E-02 3.09E+00 1.40E+00 4.68E-02 2.12E-02

4.00 101.60 8793.6642 27.74 1.15E-01 3.65E+00 1.66E+00 4.59E-02 2.08E-02

4.25 107.95 9052.3014 28.556 1.34E-01 4.24E+00 1.92E+00 4.49E-02 2.04E-02

4.50 114.30 9310.9386 29.372 1.53E-01 4.84E+00 2.19E+00 4.40E-02 1.99E-02

4.75 120.65 9569.5758 30.188 1.72E-01 5.46E+00 2.48E+00 4.29E-02 1.95E-02

5.00 127.00 9828.213 31.004 1.92E-01 6.09E+00 2.76E+00 4.19E-02 1.90E-02

5.25 133.35 10086.85 31.82 2.13E-01 6.75E+00 3.06E+00 4.08E-02 1.85E-02

5.50 139.70 10345.487 32.636 2.34E-01 7.42E+00 3.36E+00 3.97E-02 1.80E-02

5.75 146.05 10604.125 33.451 2.56E-01 8.10E+00 3.68E+00 3.86E-02 1.75E-02

6.00 152.40 10862.762 34.267 2.78E-01 8.81E+00 3.99E+00 3.75E-02 1.70E-02

6.25 158.75 11121.399 35.083 3.01E-01 9.53E+00 4.32E+00 3.63E-02 1.65E-02

6.50 165.10 11380.036 35.899 3.24E-01 1.03E+01 4.66E+00 3.51E-02 1.59E-02

6.75 171.45 11638.673 36.715 3.48E-01 1.10E+01 5.00E+00 3.38E-02 1.54E-02

7.00 177.80 11897.31 37.531 3.72E-01 1.18E+01 5.35E+00 3.26E-02 1.48E-02

7.25 184.15 12155.948 38.347 3.97E-01 1.26E+01 5.71E+00 3.13E-02 1.42E-02

7.50 190.50 12414.585 39.163 4.22E-01 1.34E+01 6.07E+00 3.00E-02 1.36E-02

7.75 196.85 12673.222 39.979 4.48E-01 1.42E+01 6.44E+00 2.86E-02 1.30E-02

8.00 203.20 12931.859 40.794 4.75E-01 1.50E+01 6.82E+00 2.73E-02 1.24E-02

8.25 209.55 13190.496 41.61 5.02E-01 1.59E+01 7.21E+00 2.59E-02 1.17E-02

8.50 215.90 13449.134 42.426 5.29E-01 1.68E+01 7.61E+00 2.44E-02 1.11E-02

8.75 222.25 13707.771 43.242 5.57E-01 1.77E+01 8.01E+00 2.30E-02 1.04E-02

9.00 228.60 13966.408 44.058 5.86E-01 1.86E+01 8.42E+00 2.15E-02 9.74E-03

9.25 234.95 13190.496 41.61 6.14E-01 1.95E+01 8.83E+00 2.00E-02 9.08E-03

9.50 241.30 12414.585 39.163 6.41E-01 2.03E+01 9.21E+00 1.87E-02 8.46E-03

9.75 247.65 11638.673 36.715 6.65E-01 2.11E+01 9.56E+00 1.74E-02 7.87E-03

10.00 254.00 10862.762 34.267 6.89E-01 2.18E+01 9.90E+00 1.62E-02 7.33E-03

10.25 260.35 10086.85 31.82 7.10E-01 2.25E+01 1.02E+01 1.50E-02 6.82E-03

10.50 266.70 9310.9386 29.372 7.30E-01 2.31E+01 1.05E+01 1.40E-02 6.34E-03

10.75 273.05 8535.027 26.924 7.49E-01 2.37E+01 1.08E+01 1.30E-02 5.91E-03

11.00 279.40 7759.1155 24.477 7.66E-01 2.43E+01 1.10E+01 1.22E-02 5.51E-03

11.25 285.75 6983.2039 22.029 7.81E-01 2.47E+01 1.12E+01 1.14E-02 5.16E-03

11.50 292.10 6207.2924 19.581 7.95E-01 2.52E+01 1.14E+01 1.07E-02 4.83E-03

11.75 298.45 5431.3808 17.134 8.07E-01 2.56E+01 1.16E+01 1.00E-02 4.55E-03

12.00 304.80 4655.4693 14.686 8.17E-01 2.59E+01 1.17E+01 9.49E-03 4.31E-03

Results for RBHT Test 1655

Valid Time Period 4370 to 4700 seconds
A-655

Figure A-545 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655K for Time Period 4370 to 4700 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-656

RBHT Two-Phase Mixture Level and Uncovery Test INT-1655-L 

Test Conditions

Date: 7/7/2003

Steady-state time window: 5205 – 5539 seconds

Inlet flow rate: 1.016 cm/sec (0.400 in./sec) 

Inlet mass flow rate: 0.048 kg/sec (0.106 lbm/sec) 

Inlet flow temperature: 348.3 K (167.3 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.29 kW 
A-657

Figure A-546 Inlet Flow Plot for Experiment 1655L 

Figure A-547 Inlet Temperature Plot for Experiment 1655L 
A-658

Figure A-548 System Pressure Plot for Experiment 1655L 

Figure A-549 Bundle Power Plot for Experiment 1655L 
A-659

Table A-219: Data Results for RBHT Test 1655 for Time Period 5205 to 5539 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.967 1.890 90.512 0.177 8.475 0.000 0.000 0.000 0.000 1.713 82.019 5761.713 275872.2992 0.97 0.965 0.975

* 120-133 3048-3378 383 0.943 3.879 185.748 0.209 10.007 0.000 0.000 0.791 37.893 2.879 137.847 5764.592 276010.1465 0.957 0.952 0.962

* 108-120 2743-3048 382 0.896 6.512 311.817 0.307 14.699 0.090 4.309 1.880 90.036 4.235 202.773 5768.827 276212.9193 0.932 0.927 0.937

100-108 2540-2743 381 0.911 3.708 177.542 0.205 9.815 0.151 7.230 0.000 0.000 3.349 160.351 5772.176 276373.2703 0.919 0.914 0.924

97-100 2464-2540 380 0.851 2.321 111.150 0.073 3.495 0.055 2.633 0.000 0.000 2.193 105.001 5774.369 276478.2717 0.859 0.855 0.863

93-97 2362-2464 379 0.839 3.339 159.887 0.092 4.405 0.071 3.399 0.000 0.000 3.176 152.068 5777.545 276630.3394 0.847 0.843 0.851

* 85-93 2159-2362 378 0.718 11.701 560.226 0.170 8.140 0.136 6.512 4.579 219.223 6.816 326.352 5784.361 276956.6913 0.836 0.832 0.840

81-85 2057-2159 377 0.818 3.786 181.272 0.077 3.687 0.065 3.112 0.000 0.000 3.64 174.284 5788.001 277130.9754 0.825 0.821 0.82978-81 1981-2057 376 0.762 3.713 177.790 0.054 2.586 0.048 2.298 0.000 0.000 3.609 172.800 5791.61 277303.7752 0.768 0.764 0.77275-78 1905-1981 375 0.733 4.165 199.424 0.052 2.490 0.047 2.250 0.000 0.000 4.063 194.537 5795.673 277498.3127 0.739 0.735 0.74372-75 1829-1905 374 0.696 4.731 226.527 0.049 2.346 0.046 2.202 0.000 0.000 4.633 221.829 5800.306 277720.142 0.703 0.699 0.707

* 67-72 1702-1829 373 0.543 11.872 568.432 0.075 3.591 0.074 3.543 4.041 193.482 7.682 367.816 5807.988 278087.9581 0.704 0.700 0.708

63-67 1600-1702 372 0.700 6.227 298.141 0.055 2.633 0.057 2.729 0.000 0.000 6.114 292.740 5814.102 278380.698 0.706 0.702 0.71060-63 1524-1600 371 0.629 5.780 276.756 0.038 1.819 0.041 1.963 0.000 0.000 5.7 272.917 5819.802 278653.6154 0.634 0.631 0.63757-60 1448-1524 370 0.593 6.336 303.363 0.036 1.724 0.040 1.915 0.000 0.000 6.258 299.635 5826.06 278953.2501 0.598 0.595 0.60153-57 1346-1448 369 0.518 10.018 479.661 0.044 2.107 0.052 2.490 0.000 0.000 9.92 474.972 5835.98 279428.2222 0.522 0.519 0.525

* 46-53 1168-1346 368 0.385 22.347 1069.975 0.067 3.208 0.086 4.118 5.004 239.588 17.19 823.062 5853.17 280251.2839 0.527 0.524 0.530

43-46 1092-1168 367 0.528 7.354 352.100 0.025 1.197 0.035 1.676 0.000 0.000 7.292 349.143 5860.462 280600.4267 0.532 0.529 0.53537-43 940-1092 366 0.502 15.518 742.990 0.042 2.011 0.067 3.208 0.000 0.000 15.41 737.835 5875.872 281338.2615 0.505 0.502 0.508

* 25-37 635-940 365 0.305 43.292 2072.813 0.057 2.729 0.122 5.841 0.513 24.543 42.6 2039.699 5918.472 283377.9604 0.316 0.314 0.318

13-25 330-635 364 0.126 54.488 2608.919 0.022 1.053 0.056 2.681 0.000 0.000 54.39 2604.207 5972.862 285982.1676 0.127 0.126 0.128

* 0-13 0-330 363 0.028 65.618 3141.794 0.001 0.048 0.000 0.000 2.407 115.235 63.21 3026.511 6036.072 289008.6786 0.063 0.060 0.066

 (Z2φ) Two-Phase Level (Dryout) = 114.90 inches = 2918.46 mm

 (S) Level Swell = 2.646

Results for RBHT Test 1655

Valid Time Period 5205 to 5539 seconds

Collapsed Liquid Level = 55.112 inches = 1399.84 mm

 (Zosv) Onset of Significant Void = 6.5 inches = 165 mm

Table A-219 Data Results for RBHT Test 1655 for Time Period 5205 to 5539 seconds
A-660

Table A-220 Energy Balance Results for RBHT Test 1655L for Time Period 5205 to 5539 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4656.074 14.688 0.00E+00 0.00E+00 0.00E+00 3.46E-02 1.57E-02

0.25 6.35 4914.7448 15.504 0.00E+00 0.00E+00 0.00E+00 3.46E-02 1.57E-02

0.50 12.70 5173.4155 16.32 0.00E+00 0.00E+00 0.00E+00 3.46E-02 1.57E-02

0.75 19.05 5432.0863 17.136 0.00E+00 0.00E+00 0.00E+00 3.46E-02 1.57E-02

1.00 25.40 5690.7571 17.952 0.00E+00 0.00E+00 0.00E+00 3.46E-02 1.57E-02

1.25 31.75 5949.4279 18.768 0.00E+00 0.00E+00 0.00E+00 3.46E-02 1.57E-02

1.50 38.10 6208.0986 19.584 0.00E+00 0.00E+00 0.00E+00 3.46E-02 1.57E-02

1.75 44.45 6466.7694 20.4 1.45E-02 3.09E-01 1.40E-01 3.41E-02 1.55E-02

2.00 50.80 6725.4402 21.216 3.50E-02 7.45E-01 3.38E-01 3.34E-02 1.51E-02

2.25 57.15 6984.111 22.032 5.62E-02 1.20E+00 5.44E-01 3.26E-02 1.48E-02

2.50 63.50 7242.7818 22.848 7.83E-02 1.67E+00 7.57E-01 3.19E-02 1.45E-02

2.75 69.85 7501.4525 23.664 1.01E-01 2.16E+00 9.78E-01 3.11E-02 1.41E-02

3.00 76.20 7760.1233 24.48 1.25E-01 2.66E+00 1.21E+00 3.03E-02 1.37E-02

3.25 82.55 8018.7941 25.296 1.49E-01 3.18E+00 1.44E+00 2.94E-02 1.33E-02

3.50 88.90 8277.4649 26.112 1.75E-01 3.72E+00 1.69E+00 2.86E-02 1.30E-02

3.75 95.25 8536.1356 26.928 2.01E-01 4.28E+00 1.94E+00 2.77E-02 1.25E-02

4.00 101.60 8794.8064 27.744 2.27E-01 4.85E+00 2.20E+00 2.67E-02 1.21E-02

4.25 107.95 9053.4772 28.56 2.55E-01 5.44E+00 2.47E+00 2.58E-02 1.17E-02

4.50 114.30 9312.148 29.376 2.84E-01 6.05E+00 2.74E+00 2.48E-02 1.12E-02

4.75 120.65 9570.8187 30.192 3.13E-01 6.67E+00 3.03E+00 2.38E-02 1.08E-02

5.00 127.00 9829.4895 31.008 3.43E-01 7.31E+00 3.32E+00 2.27E-02 1.03E-02

5.25 133.35 10088.16 31.824 3.74E-01 7.97E+00 3.61E+00 2.17E-02 9.83E-03

5.50 139.70 10346.831 32.64 4.05E-01 8.65E+00 3.92E+00 2.06E-02 9.33E-03

5.75 146.05 10605.502 33.456 4.38E-01 9.34E+00 4.24E+00 1.94E-02 8.82E-03

6.00 152.40 10864.173 34.272 4.71E-01 1.00E+01 4.56E+00 1.83E-02 8.30E-03

6.25 158.75 11122.843 35.088 5.05E-01 1.08E+01 4.89E+00 1.71E-02 7.76E-03

6.50 165.10 11381.514 35.904 5.40E-01 1.15E+01 5.22E+00 1.59E-02 7.22E-03

6.75 171.45 11640.185 36.72 5.76E-01 1.23E+01 5.57E+00 1.47E-02 6.66E-03

7.00 177.80 11898.856 37.536 6.12E-01 1.31E+01 5.92E+00 1.34E-02 6.08E-03

7.25 184.15 12157.527 38.352 6.50E-01 1.39E+01 6.28E+00 1.21E-02 5.50E-03

7.50 190.50 12416.197 39.168 6.88E-01 1.47E+01 6.65E+00 1.08E-02 4.90E-03

7.75 196.85 12674.868 39.984 7.27E-01 1.55E+01 7.03E+00 9.46E-03 4.29E-03

8.00 203.20 12933.539 40.8 7.66E-01 1.63E+01 7.41E+00 8.09E-03 3.67E-03

8.25 209.55 13192.21 41.616 8.07E-01 1.72E+01 7.80E+00 6.69E-03 3.03E-03

8.50 215.90 13450.88 42.432 8.48E-01 1.81E+01 8.20E+00 5.26E-03 2.38E-03

8.75 222.25 13709.551 43.248 8.90E-01 1.90E+01 8.61E+00 3.80E-03 1.72E-03

9.00 228.60 13968.222 44.064 9.33E-01 1.99E+01 9.03E+00 2.32E-03 1.05E-03

9.25 234.95 13192.21 41.616 9.75E-01 2.08E+01 9.43E+00 8.61E-04 3.91E-04

9.50 241.30 12416.197 39.168 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

9.75 247.65 11640.185 36.72 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

10.00 254.00 10864.173 34.272 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

10.25 260.35 10088.16 31.824 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

10.50 266.70 9312.148 29.376 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

10.75 273.05 8536.1356 26.928 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

11.00 279.40 7760.1233 24.48 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

11.25 285.75 6984.111 22.032 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

11.50 292.10 6208.0986 19.584 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

11.75 298.45 5432.0863 17.136 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

12.00 304.80 4656.074 14.688 1.00E+00 2.13E+01 9.67E+00 0.00E+00 0.00E+00

Results for RBHT Test 1655

Valid Time Period 5205 to 5539 seconds
A-661

Figure A-550 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1655L for Time Period 5205 to 5539 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-662

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-A 

Test Conditions

Date: 7/9/2003

Steady-state time window: 1950 – 2040 seconds

Inlet flow rate: 3.045 cm/sec (1.199 in./sec) 

Inlet mass flow rate: 0.142 kg/sec (0.314 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-663

Figure A-551 Inlet Flow Plot for Experiment 1659A 

Figure A-552 Inlet Temperature Plot for Experiment 1659A 
A-664

Figure A-553 System Pressure Plot for Experiment 1659A 

Figure A-554 Bundle Power Plot for Experiment 1659A 
A-665

Table A-221: Data Results for RBHT Test 1659 for Time Period 1950 to 2040 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.434 32.318 1547.399 0.362 17.333 0.095 4.549 0.000 0.000 31.85 1524.986 8671.85 415210.4067 0.442 0.440 0.444

* 120-133 3048-3378 383 0.499 33.855 1621.001 0.387 18.530 0.170 8.140 -5.132 -245.706 38.43 1840.038 8710.28 417050.4449 0.431 0.429 0.433* 108-120 2743-3048 382 0.405 37.065 1774.672 0.300 14.364 0.212 10.151 -0.377 -18.061 36.93 1768.218 8747.21 418818.6628 0.407 0.405 0.409

100-108 2540-2743 381 0.388 25.427 1217.429 0.160 7.661 0.155 7.421 0.000 0.000 25.1 1201.794 8772.31 420020.4573 0.396 0.394 0.398

97-100 2464-2540 380 0.301 10.885 521.187 0.050 2.394 0.056 2.681 0.000 0.000 10.78 516.149 8783.09 420536.6065 0.308 0.306 0.310

93-97 2362-2464 379 0.299 14.572 697.734 0.059 2.825 0.073 3.495 0.000 0.000 14.44 691.391 8797.53 421227.9974 0.305 0.303 0.307

* 85-93 2159-2362 378 0.174 34.333 1643.878 0.087 4.166 0.141 6.751 0.855 40.943 33.25 1592.019 8830.78 422820.0159 0.199 0.198 0.200

81-85 2057-2159 377 0.090 18.909 905.364 0.024 1.149 0.067 3.208 0.000 0.000 18.81 900.628 8849.59 423720.6435 0.094 0.089 0.09978-81 1981-2057 376 0.177 12.822 613.937 0.008 0.383 0.037 1.772 0.000 0.000 12.77 611.431 8862.36 424332.0744 0.18 0.179 0.18175-78 1905-1981 375 0.076 14.396 689.280 0.001 0.048 0.000 0.000 0.000 0.000 14.39 688.997 8876.75 425021.0713 0.076 0.072 0.08072-75 1829-1905 374 0.073 14.437 691.269 0.001 0.048 0.000 0.000 0.000 0.000 14.43 690.912 8891.18 425711.9834 0.073 0.069 0.077

* 67-72 1702-1829 373 0.055 24.544 1175.158 0.002 0.096 0.000 0.000 0.222 10.614 24.32 1164.448 8915.5 426876.4313 0.063 0.060 0.066

63-67 1600-1702 372 0.053 19.678 942.165 0.002 0.096 0.000 0.000 0.000 0.000 19.67 941.805 8935.17 427818.2359 0.053 0.050 0.05660-63 1524-1600 371 0.029 15.128 724.341 0.001 0.048 0.000 0.000 0.000 0.000 15.12 723.949 8950.29 428542.1854 0.029 0.028 0.03057-60 1448-1524 370 0.066 14.557 696.988 0.001 0.048 0.000 0.000 0.000 0.000 14.55 696.658 8964.84 429238.8432 0.066 0.063 0.06953-57 1346-1448 369 0.053 19.667 941.668 0.002 0.096 0.000 0.000 0.000 0.000 19.66 941.326 8984.5 430180.169 0.053 0.050 0.056

* 46-53 1168-1346 368 0.053 34.432 1648.602 0.003 0.144 0.000 0.000 -0.181 -8.677 34.61 1657.136 9019.11 431837.3047 0.048 0.046 0.050

43-46 1092-1168 367 0.042 14.931 714.892 0.001 0.048 0.000 0.000 0.000 0.000 14.92 714.373 9034.03 432551.6781 0.042 0.040 0.04437-43 940-1092 366 0.042 29.851 1429.286 0.003 0.144 0.000 0.000 0.000 0.000 29.84 1428.747 9063.87 433980.425 0.042 0.040 0.044

* 25-37 635-940 365 0.036 60.076 2876.475 0.006 0.287 0.000 0.000 0.230 11.034 59.84 2865.155 9123.71 436845.5796 0.039 0.037 0.041

13-25 330-635 364 0.037 60.030 2874.238 0.006 0.287 0.000 0.000 0.000 0.000 60.01 2873.294 9183.72 439718.8738 0.037 0.035 0.039

* 0-13 0-330 363 0.029 65.566 3139.307 0.006 0.287 0.000 0.000 -0.690 -33.047 66.25 3172.067 9249.97 442890.9408 0.018 0.017 0.019

Results for RBHT Test 1659

Valid Time Period 1950 to 2040 seconds

Collapsed Liquid Level = 117.234 inches = 2977.74 mm

 (Zosv) Onset of Significant Void = 55 inches = 1397 mm

Table A-221 Data Results for RBHT Test 1659 for Time Period 1950 to 2040 seconds
A-666

Table A-222 Energy Balance Results for RBHT Test 1659A for Time Period 1950 to 2040 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2332.9392 7.3594 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

0.25 6.35 2462.547 7.7683 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

0.50 12.70 2592.1547 8.1771 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

0.75 19.05 2721.7624 8.586 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

1.00 25.40 2851.3702 8.9949 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

1.25 31.75 2980.9779 9.4037 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

1.50 38.10 3110.5857 9.8126 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

1.75 44.45 3240.1934 10.221 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

2.00 50.80 3369.8011 10.63 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

2.25 57.15 3499.4089 11.039 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

2.50 63.50 3629.0166 11.448 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

2.75 69.85 3758.6243 11.857 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

3.00 76.20 3888.2321 12.266 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

3.25 82.55 4017.8398 12.675 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

3.50 88.90 4147.4475 13.083 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

3.75 95.25 4277.0553 13.492 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

4.00 101.60 4406.663 13.901 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

4.25 107.95 4536.2707 14.31 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

4.50 114.30 4665.8785 14.719 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

4.75 120.65 4795.4862 15.128 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

5.00 127.00 4925.0939 15.537 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

5.25 133.35 5054.7017 15.945 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

5.50 139.70 5184.3094 16.354 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

5.75 146.05 5313.9172 16.763 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

6.00 152.40 5443.5249 17.172 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

6.25 158.75 5573.1326 17.581 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

6.50 165.10 5702.7404 17.99 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.72E-02

6.75 171.45 5832.3481 18.399 4.59E-03 1.98E-01 8.96E-02 1.04E-01 4.70E-02

7.00 177.80 5961.9558 18.807 1.09E-02 4.68E-01 2.12E-01 1.03E-01 4.67E-02

7.25 184.15 6091.5636 19.216 1.73E-02 7.44E-01 3.38E-01 1.02E-01 4.64E-02

7.50 190.50 6221.1713 19.625 2.38E-02 1.03E+00 4.65E-01 1.02E-01 4.61E-02

7.75 196.85 6350.779 20.034 3.05E-02 1.31E+00 5.96E-01 1.01E-01 4.58E-02

8.00 203.20 6480.3868 20.443 3.74E-02 1.61E+00 7.29E-01 1.00E-01 4.55E-02

8.25 209.55 6609.9945 20.852 4.43E-02 1.91E+00 8.66E-01 9.95E-02 4.51E-02

8.50 215.90 6739.6022 21.261 5.14E-02 2.21E+00 1.00E+00 9.88E-02 4.48E-02

8.75 222.25 6869.21 21.669 5.87E-02 2.53E+00 1.15E+00 9.80E-02 4.45E-02

9.00 228.60 6998.8177 22.078 6.61E-02 2.84E+00 1.29E+00 9.72E-02 4.41E-02

9.25 234.95 6609.9945 20.852 7.33E-02 3.16E+00 1.43E+00 9.65E-02 4.38E-02

9.50 241.30 6221.1713 19.625 8.02E-02 3.45E+00 1.56E+00 9.58E-02 4.34E-02

9.75 247.65 5832.3481 18.399 8.66E-02 3.73E+00 1.69E+00 9.51E-02 4.31E-02

10.00 254.00 5443.5249 17.172 9.26E-02 3.98E+00 1.81E+00 9.45E-02 4.29E-02

10.25 260.35 5054.7017 15.945 9.82E-02 4.22E+00 1.92E+00 9.39E-02 4.26E-02

10.50 266.70 4665.8785 14.719 1.03E-01 4.45E+00 2.02E+00 9.34E-02 4.24E-02

10.75 273.05 4277.0553 13.492 1.08E-01 4.65E+00 2.11E+00 9.29E-02 4.21E-02

11.00 279.40 3888.2321 12.266 1.12E-01 4.84E+00 2.19E+00 9.24E-02 4.19E-02

11.25 285.75 3499.4089 11.039 1.16E-01 5.01E+00 2.27E+00 9.20E-02 4.17E-02

11.50 292.10 3110.5857 9.8126 1.20E-01 5.16E+00 2.34E+00 9.16E-02 4.16E-02

11.75 298.45 2721.7624 8.586 1.23E-01 5.29E+00 2.40E+00 9.13E-02 4.14E-02

12.00 304.80 2332.9392 7.3594 1.26E-01 5.41E+00 2.45E+00 9.10E-02 4.13E-02

Results for RBHT Test 1659

Valid Time Period 1950 to 2040 seconds
A-667

Figure A-555 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659A for Time Period 1950 to 2040 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-668

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-B 

Test Conditions

Date: 7/9/2003

Steady-state time window: 2210 – 2300 seconds

Inlet flow rate: 3.061 cm/sec (1.205 in./sec) 

Inlet mass flow rate: 0.143 kg/sec (0.315 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-669

Figure A-556 Inlet Flow Plot for Experiment 1659B 

Figure A-557 Inlet Temperature Plot for Experiment 1659B 
A-670

Figure A-558 System Pressure Plot for Experiment 1659B 

Figure A-559 Bundle Power Plot for Experiment 1659B 
A-671

Table A-223: Data Results for RBHT Test 1659 for Time Period 2210 to 2300 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.437 32.136 1538.696 0.364 17.428 0.096 4.597 0.000 0.000 31.66 1515.889 8671.66 415201.3094 0.446 0.444 0.448

* 120-133 3048-3378 383 0.498 33.907 1623.488 0.389 18.625 0.171 8.188 -4.943 -236.660 38.29 1833.335 8709.95 417034.6445 0.433 0.431 0.435* 108-120 2743-3048 382 0.406 36.997 1771.439 0.301 14.412 0.213 10.198 -0.467 -22.347 36.95 1769.175 8746.9 418803.82 0.407 0.405 0.409

100-108 2540-2743 381 0.386 25.494 1220.662 0.161 7.709 0.156 7.469 0.000 0.000 25.17 1205.146 8772.07 420008.966 0.394 0.392 0.396

97-100 2464-2540 380 0.302 10.875 520.690 0.051 2.442 0.056 2.681 0.000 0.000 10.76 515.192 8782.83 420524.1576 0.309 0.307 0.311

93-97 2362-2464 379 0.296 14.635 700.718 0.059 2.825 0.074 3.543 0.000 0.000 14.5 694.264 8797.33 421218.4213 0.302 0.300 0.304

* 85-93 2159-2362 378 0.171 34.427 1648.354 0.087 4.166 0.141 6.751 0.879 42.067 33.32 1595.370 8830.65 422813.7915 0.198 0.197 0.199

81-85 2057-2159 377 0.089 18.919 905.861 0.024 1.149 0.068 3.256 0.000 0.000 18.82 901.106 8849.47 423714.8979 0.094 0.089 0.09978-81 1981-2057 376 0.177 12.828 614.185 0.008 0.383 0.035 1.676 0.000 0.000 12.78 611.910 8862.25 424326.8076 0.18 0.179 0.18175-78 1905-1981 375 0.076 14.401 689.529 0.001 0.048 0.000 0.000 0.000 0.000 14.39 688.997 8876.64 425015.8045 0.076 0.072 0.08072-75 1829-1905 374 0.073 14.443 691.518 0.001 0.048 0.000 0.000 0.000 0.000 14.44 691.391 8891.08 425707.1954 0.073 0.069 0.077

* 67-72 1702-1829 373 0.055 24.549 1175.406 0.002 0.096 0.000 0.000 0.217 10.384 24.33 1164.927 8915.41 426872.1221 0.063 0.060 0.066

63-67 1600-1702 372 0.053 19.678 942.165 0.002 0.096 0.000 0.000 0.000 0.000 19.67 941.805 8935.08 427813.9267 0.053 0.050 0.05660-63 1524-1600 371 0.029 15.133 724.589 0.001 0.048 0.000 0.000 0.000 0.000 15.13 724.428 8950.21 428538.355 0.029 0.028 0.03057-60 1448-1524 370 0.066 14.557 696.988 0.001 0.048 0.000 0.000 0.000 0.000 14.55 696.658 8964.76 429235.0127 0.066 0.063 0.06953-57 1346-1448 369 0.053 19.667 941.668 0.002 0.096 0.000 0.000 0.000 0.000 19.66 941.326 8984.42 430176.3386 0.053 0.050 0.056

* 46-53 1168-1346 368 0.053 34.427 1648.354 0.003 0.144 0.000 0.000 -0.196 -9.404 34.62 1657.614 9019.04 431833.9531 0.047 0.045 0.049

43-46 1092-1168 367 0.042 14.931 714.892 0.001 0.048 0.000 0.000 0.000 0.000 14.93 714.852 9033.97 432548.8053 0.042 0.040 0.04437-43 940-1092 366 0.042 29.851 1429.286 0.003 0.144 0.000 0.000 0.000 0.000 29.84 1428.747 9063.81 433977.5522 0.042 0.040 0.044

* 25-37 635-940 365 0.036 60.076 2876.475 0.006 0.287 0.000 0.000 0.230 11.034 59.84 2865.155 9123.65 436842.7068 0.039 0.037 0.041

13-25 330-635 364 0.037 60.030 2874.238 0.006 0.287 0.000 0.000 0.000 0.000 60.01 2873.294 9183.66 439716.001 0.037 0.035 0.039

* 0-13 0-330 363 0.029 65.561 3139.058 0.006 0.287 0.000 0.000 -0.695 -33.296 66.25 3172.067 9249.91 442888.068 0.018 0.017 0.019

Results for RBHT Test 1659

Valid Time Period 2210 to 2300 seconds

Collapsed Liquid Level = 117.372 inches = 2981.26 mm

 (Zosv) Onset of Significant Void = 55 inches = 1397 mm

Table A-223 Data Results for RBHT Test 1659 for Time Period 2210 to 2300 seconds
A-672

Table A-224 Energy Balance Results for RBHT Test 1659B for Time Period 2210 to 2300 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2334.4158 7.3641 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

0.25 6.35 2464.1055 7.7732 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

0.50 12.70 2593.7953 8.1823 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

0.75 19.05 2723.4851 8.5914 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

1.00 25.40 2853.1748 9.0005 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

1.25 31.75 2982.8646 9.4097 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

1.50 38.10 3112.5543 9.8188 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

1.75 44.45 3242.2441 10.228 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

2.00 50.80 3371.9339 10.637 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

2.25 57.15 3501.6236 11.046 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

2.50 63.50 3631.3134 11.455 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

2.75 69.85 3761.0032 11.864 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

3.00 76.20 3890.6929 12.273 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

3.25 82.55 4020.3827 12.683 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

3.50 88.90 4150.0725 13.092 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

3.75 95.25 4279.7622 13.501 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

4.00 101.60 4409.452 13.91 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

4.25 107.95 4539.1418 14.319 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

4.50 114.30 4668.8315 14.728 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

4.75 120.65 4798.5213 15.137 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

5.00 127.00 4928.211 15.546 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

5.25 133.35 5057.9008 15.956 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

5.50 139.70 5187.5906 16.365 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

5.75 146.05 5317.2803 16.774 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

6.00 152.40 5446.9701 17.183 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

6.25 158.75 5576.6599 17.592 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

6.50 165.10 5706.3496 18.001 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

6.75 171.45 5836.0394 18.41 4.38E-03 1.89E-01 8.57E-02 1.04E-01 4.72E-02

7.00 177.80 5965.7292 18.819 1.06E-02 4.59E-01 2.08E-01 1.04E-01 4.70E-02

7.25 184.15 6095.4189 19.228 1.70E-02 7.35E-01 3.33E-01 1.03E-01 4.66E-02

7.50 190.50 6225.1087 19.638 2.36E-02 1.02E+00 4.61E-01 1.02E-01 4.63E-02

7.75 196.85 6354.7985 20.047 3.02E-02 1.31E+00 5.92E-01 1.01E-01 4.60E-02

8.00 203.20 6484.4882 20.456 3.70E-02 1.60E+00 7.25E-01 1.01E-01 4.57E-02

8.25 209.55 6614.178 20.865 4.40E-02 1.90E+00 8.61E-01 1.00E-01 4.54E-02

8.50 215.90 6743.8678 21.274 5.10E-02 2.20E+00 1.00E+00 9.93E-02 4.50E-02

8.75 222.25 6873.5575 21.683 5.83E-02 2.52E+00 1.14E+00 9.85E-02 4.47E-02

9.00 228.60 7003.2473 22.092 6.56E-02 2.83E+00 1.29E+00 9.78E-02 4.43E-02

9.25 234.95 6614.178 20.865 7.28E-02 3.15E+00 1.43E+00 9.70E-02 4.40E-02

9.50 241.30 6225.1087 19.638 7.96E-02 3.44E+00 1.56E+00 9.63E-02 4.37E-02

9.75 247.65 5836.0394 18.41 8.60E-02 3.72E+00 1.69E+00 9.56E-02 4.34E-02

10.00 254.00 5446.9701 17.183 9.20E-02 3.97E+00 1.80E+00 9.50E-02 4.31E-02

10.25 260.35 5057.9008 15.956 9.76E-02 4.21E+00 1.91E+00 9.44E-02 4.28E-02

10.50 266.70 4668.8315 14.728 1.03E-01 4.44E+00 2.01E+00 9.39E-02 4.26E-02

10.75 273.05 4279.7622 13.501 1.08E-01 4.64E+00 2.11E+00 9.34E-02 4.24E-02

11.00 279.40 3890.6929 12.273 1.12E-01 4.83E+00 2.19E+00 9.29E-02 4.22E-02

11.25 285.75 3501.6236 11.046 1.16E-01 5.00E+00 2.27E+00 9.25E-02 4.20E-02

11.50 292.10 3112.5543 9.8188 1.19E-01 5.15E+00 2.34E+00 9.22E-02 4.18E-02

11.75 298.45 2723.4851 8.5914 1.22E-01 5.28E+00 2.40E+00 9.18E-02 4.17E-02

12.00 304.80 2334.4158 7.3641 1.25E-01 5.40E+00 2.45E+00 9.15E-02 4.15E-02

Results for RBHT Test 1659

Valid Time Period 2210 to 2300 seconds
A-673

Figure A-560 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659B for Time Period 2210 to 2300 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-674

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-C 

Test Conditions

Date: 7/9/2003

Steady-state time window: 2490 – 2557 seconds

Inlet flow rate: 3.030 cm/sec (1.193 in./sec) 

Inlet mass flow rate: 0.142 kg/sec (0.312 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-675

Figure A-561 Inlet Flow Plot for Experiment 1659C 

Figure A-562 Inlet Temperature Plot for Experiment 1659C 
A-676

Figure A-563 System Pressure Plot for Experiment 1659C 

Figure A-564 Bundle Power Plot for Experiment 1659C 
A-677

Table A-225: Data Results for RBHT Test 1659 for Time Period 2490 to 2557 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.435 32.297 1546.404 0.362 17.333 0.095 4.549 0.000 0.000 31.83 1524.029 8671.83 415209.4491 0.443 0.441 0.445

* 120-133 3048-3378 383 0.496 34.047 1630.202 0.388 18.578 0.169 8.092 -4.920 -235.548 38.41 1839.081 8710.24 417048.5297 0.431 0.429 0.433* 108-120 2743-3048 382 0.406 37.044 1773.677 0.301 14.412 0.211 10.103 -0.398 -19.055 36.93 1768.218 8747.17 418816.7476 0.407 0.405 0.409

100-108 2540-2743 381 0.388 25.437 1217.927 0.161 7.709 0.154 7.374 0.000 0.000 25.11 1202.273 8772.28 420019.0209 0.395 0.393 0.397

97-100 2464-2540 380 0.300 10.901 521.933 0.051 2.442 0.056 2.681 0.000 0.000 10.79 516.628 8783.07 420535.6488 0.307 0.305 0.309

93-97 2362-2464 379 0.300 14.536 695.994 0.060 2.873 0.073 3.495 0.000 0.000 14.4 689.476 8797.47 421225.1245 0.307 0.305 0.309

* 85-93 2159-2362 378 0.174 34.302 1642.386 0.089 4.261 0.140 6.703 0.873 41.797 33.2 1589.625 8830.67 422814.7491 0.201 0.200 0.202

81-85 2057-2159 377 0.090 18.909 905.364 0.026 1.245 0.067 3.208 0.000 0.000 18.81 900.628 8849.48 423715.3767 0.094 0.089 0.09978-81 1981-2057 376 0.177 12.822 613.937 0.009 0.431 0.046 2.202 0.000 0.000 12.77 611.431 8862.25 424326.8076 0.18 0.179 0.18175-78 1905-1981 375 0.076 14.401 689.529 0.001 0.048 0.000 0.000 0.000 0.000 14.39 688.997 8876.64 425015.8045 0.076 0.072 0.08072-75 1829-1905 374 0.073 14.448 691.766 0.001 0.048 0.000 0.000 0.000 0.000 14.44 691.391 8891.08 425707.1954 0.073 0.069 0.077

* 67-72 1702-1829 373 0.055 24.549 1175.406 0.002 0.096 0.000 0.000 0.217 10.384 24.33 1164.927 8915.41 426872.1221 0.063 0.060 0.066

63-67 1600-1702 372 0.053 19.678 942.165 0.002 0.096 0.000 0.000 0.000 0.000 19.67 941.805 8935.08 427813.9267 0.053 0.050 0.05660-63 1524-1600 371 0.029 15.128 724.341 0.001 0.048 0.000 0.000 0.000 0.000 15.12 723.949 8950.2 428537.8762 0.029 0.028 0.03057-60 1448-1524 370 0.065 14.562 697.237 0.001 0.048 0.000 0.000 0.000 0.000 14.55 696.658 8964.75 429234.5339 0.066 0.063 0.06953-57 1346-1448 369 0.053 19.667 941.668 0.002 0.096 0.000 0.000 0.000 0.000 19.66 941.326 8984.41 430175.8598 0.053 0.050 0.056

* 46-53 1168-1346 368 0.053 34.427 1648.354 0.003 0.144 0.000 0.000 -0.186 -8.926 34.61 1657.136 9019.02 431832.9955 0.048 0.046 0.050

43-46 1092-1168 367 0.042 14.931 714.892 0.001 0.048 0.000 0.000 0.000 0.000 14.92 714.373 9033.94 432547.3689 0.042 0.040 0.04437-43 940-1092 366 0.043 29.825 1428.043 0.003 0.144 0.000 0.000 0.000 0.000 29.82 1427.789 9063.76 433975.1582 0.043 0.041 0.045

* 25-37 635-940 365 0.036 60.066 2875.978 0.006 0.287 0.000 0.000 0.250 11.973 59.81 2863.718 9123.57 436838.8764 0.04 0.038 0.042

13-25 330-635 364 0.037 60.025 2873.989 0.006 0.287 0.000 0.000 0.000 0.000 60 2872.815 9183.57 439711.6918 0.037 0.035 0.039

* 0-13 0-330 363 0.029 65.566 3139.307 0.006 0.287 0.000 0.000 -0.690 -33.047 66.25 3172.067 9249.82 442883.7588 0.018 0.017 0.019

Results for RBHT Test 1659

Valid Time Period 2490 to 2557 seconds

Collapsed Liquid Level = 117.091 inches = 2974.12 mm

 (Zosv) Onset of Significant Void = 55 inches = 1397 mm

Table A-225 Data Results for RBHT Test 1659 for Time Period 2490 to 2557 seconds
A-678

Table A-226 Energy Balance Results for RBHT Test 1659C for Time Period 2490 to 2557 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2333.6266 7.3616 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

0.25 6.35 2463.2725 7.7706 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

0.50 12.70 2592.9184 8.1795 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

0.75 19.05 2722.5643 8.5885 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

1.00 25.40 2852.2102 8.9975 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

1.25 31.75 2981.8562 9.4065 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

1.50 38.10 3111.5021 9.8155 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

1.75 44.45 3241.148 10.224 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

2.00 50.80 3370.7939 10.633 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

2.25 57.15 3500.4398 11.042 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

2.50 63.50 3630.0858 11.451 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

2.75 69.85 3759.7317 11.86 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

3.00 76.20 3889.3776 12.269 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

3.25 82.55 4019.0235 12.678 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

3.50 88.90 4148.6694 13.087 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

3.75 95.25 4278.3154 13.496 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

4.00 101.60 4407.9613 13.905 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

4.25 107.95 4537.6072 14.314 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

4.50 114.30 4667.2531 14.723 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

4.75 120.65 4796.8991 15.132 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

5.00 127.00 4926.545 15.541 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

5.25 133.35 5056.1909 15.95 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

5.50 139.70 5185.8368 16.359 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

5.75 146.05 5315.4827 16.768 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

6.00 152.40 5445.1287 17.177 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

6.25 158.75 5574.7746 17.586 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

6.50 165.10 5704.4205 17.995 0.00E+00 0.00E+00 0.00E+00 1.04E-01 4.70E-02

6.75 171.45 5834.0664 18.404 5.78E-03 2.47E-01 1.12E-01 1.03E-01 4.67E-02

7.00 177.80 5963.7123 18.813 1.21E-02 5.17E-01 2.35E-01 1.02E-01 4.64E-02

7.25 184.15 6093.3583 19.222 1.86E-02 7.93E-01 3.60E-01 1.02E-01 4.61E-02

7.50 190.50 6223.0042 19.631 2.52E-02 1.08E+00 4.88E-01 1.01E-01 4.58E-02

7.75 196.85 6352.6501 20.04 3.19E-02 1.36E+00 6.18E-01 1.00E-01 4.55E-02

8.00 203.20 6482.296 20.449 3.88E-02 1.66E+00 7.52E-01 9.95E-02 4.52E-02

8.25 209.55 6611.9419 20.858 4.58E-02 1.96E+00 8.88E-01 9.88E-02 4.48E-02

8.50 215.90 6741.5879 21.267 5.29E-02 2.26E+00 1.03E+00 9.81E-02 4.45E-02

8.75 222.25 6871.2338 21.676 6.02E-02 2.57E+00 1.17E+00 9.73E-02 4.41E-02

9.00 228.60 7000.8797 22.085 6.76E-02 2.89E+00 1.31E+00 9.66E-02 4.38E-02

9.25 234.95 6611.9419 20.858 7.49E-02 3.20E+00 1.45E+00 9.58E-02 4.35E-02

9.50 241.30 6223.0042 19.631 8.18E-02 3.50E+00 1.59E+00 9.51E-02 4.31E-02

9.75 247.65 5834.0664 18.404 8.82E-02 3.77E+00 1.71E+00 9.44E-02 4.28E-02

10.00 254.00 5445.1287 17.177 9.43E-02 4.03E+00 1.83E+00 9.38E-02 4.25E-02

10.25 260.35 5056.1909 15.95 9.99E-02 4.27E+00 1.94E+00 9.32E-02 4.23E-02

10.50 266.70 4667.2531 14.723 1.05E-01 4.49E+00 2.04E+00 9.27E-02 4.20E-02

10.75 273.05 4278.3154 13.496 1.10E-01 4.70E+00 2.13E+00 9.22E-02 4.18E-02

11.00 279.40 3889.3776 12.269 1.14E-01 4.89E+00 2.22E+00 9.17E-02 4.16E-02

11.25 285.75 3500.4398 11.042 1.18E-01 5.06E+00 2.29E+00 9.13E-02 4.14E-02

11.50 292.10 3111.5021 9.8155 1.22E-01 5.21E+00 2.36E+00 9.09E-02 4.13E-02

11.75 298.45 2722.5643 8.5885 1.25E-01 5.34E+00 2.42E+00 9.06E-02 4.11E-02

12.00 304.80 2333.6266 7.3616 1.28E-01 5.46E+00 2.48E+00 9.03E-02 4.10E-02

Results for RBHT Test 1659

Valid Time Period 2490 to 2557 seconds
A-679

Figure A-565 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659C for Time Period 2490 to 2557 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-680

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-D 

Test Conditions

Date: 7/9/2003

Steady-state time window: 2730 – 2820 seconds

Inlet flow rate: 2.540 cm/sec (1.000 in./sec) 

Inlet mass flow rate: 0.119 kg/sec (0.263 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-681

Figure A-566 Inlet Flow Plot for Experiment 1659D 

Figure A-567 Inlet Temperature Plot for Experiment 1659D 
A-682

Figure A-568 System Pressure Plot for Experiment 1659D 

Figure A-569 Bundle Power Plot for Experiment 1659D 
A-683

Table A-227: Data Results for RBHT Test 1659 for Time Period 2730 to 2820 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.466 30.490 1459.871 0.326 15.609 0.080 3.830 0.000 0.000 30.07 1439.759 8670.07 415125.1798 0.473 0.471 0.475

* 120-133 3048-3378 383 0.531 31.664 1516.068 0.352 16.854 0.142 6.799 -4.820 -230.796 35.99 1723.210 8706.06 416848.3903 0.467 0.465 0.469* 108-120 2743-3048 382 0.434 35.247 1687.642 0.281 13.454 0.177 8.475 0.739 35.390 34.05 1630.323 8740.11 418478.713 0.453 0.451 0.455

100-108 2540-2743 381 0.440 23.271 1114.236 0.157 7.517 0.130 6.224 0.000 0.000 22.98 1100.288 8763.09 419579.0013 0.447 0.445 0.449

97-100 2464-2540 380 0.342 10.246 490.602 0.052 2.490 0.047 2.250 0.000 0.000 10.15 485.985 8773.24 420064.9859 0.349 0.347 0.351

93-97 2362-2464 379 0.353 13.440 643.527 0.063 3.016 0.061 2.921 0.000 0.000 13.31 637.286 8786.55 420702.2721 0.359 0.357 0.361

* 85-93 2159-2362 378 0.260 30.760 1472.801 0.105 5.027 0.117 5.602 2.128 101.894 28.41 1360.278 8814.96 422062.5502 0.316 0.314 0.318

81-85 2057-2159 377 0.268 15.201 727.822 0.041 1.963 0.056 2.681 0.000 0.000 15.1 722.992 8830.06 422785.5421 0.273 0.272 0.27478-81 1981-2057 376 0.263 11.477 549.534 0.025 1.197 0.041 1.963 0.000 0.000 11.41 546.314 8841.47 423331.8559 0.268 0.267 0.26975-78 1905-1981 375 0.108 13.897 665.409 0.020 0.958 0.040 1.915 0.000 0.000 13.83 662.184 8855.3 423994.0398 0.112 0.111 0.11372-75 1829-1905 374 0.081 14.323 685.799 0.014 0.670 0.039 1.867 0.000 0.000 14.26 682.772 8869.56 424676.8123 0.084 0.080 0.088

* 67-72 1702-1829 373 0.061 24.377 1167.201 0.012 0.575 0.038 1.819 0.217 10.414 24.11 1154.393 8893.67 425831.2053 0.071 0.067 0.075

63-67 1600-1702 372 0.058 19.568 936.943 0.001 0.048 0.000 0.000 0.000 0.000 19.56 936.538 8913.23 426767.7431 0.058 0.055 0.06160-63 1524-1600 371 0.034 15.055 720.859 0.001 0.048 0.000 0.000 0.000 0.000 15.05 720.598 8928.28 427488.341 0.034 0.032 0.03657-60 1448-1524 370 0.070 14.489 693.756 0.001 0.048 0.000 0.000 0.000 0.000 14.48 693.306 8942.76 428181.6471 0.07 0.067 0.07453-57 1346-1448 369 0.057 19.584 937.689 0.001 0.048 0.000 0.000 0.000 0.000 19.58 937.495 8962.34 429119.1425 0.057 0.054 0.060

* 46-53 1168-1346 368 0.057 34.292 1641.889 0.002 0.096 0.000 0.000 -0.180 -8.640 34.47 1650.432 8996.81 430769.575 0.052 0.049 0.055

43-46 1092-1168 367 0.046 14.869 711.908 0.001 0.048 0.000 0.000 0.000 0.000 14.86 711.501 9011.67 431481.0756 0.046 0.044 0.04837-43 940-1092 366 0.046 29.742 1424.064 0.002 0.096 0.000 0.000 0.000 0.000 29.73 1423.480 9041.4 432904.5556 0.046 0.044 0.048

* 25-37 635-940 365 0.038 59.931 2869.513 0.004 0.192 0.000 0.000 0.237 11.349 59.69 2857.973 9101.09 435762.5282 0.042 0.040 0.044

13-25 330-635 364 0.038 59.952 2870.508 0.004 0.192 0.000 0.000 0.000 0.000 59.93 2869.464 9161.02 438631.992 0.038 0.036 0.040

* 0-13 0-330 363 0.029 65.524 3137.318 0.004 0.192 0.000 0.000 -0.690 -33.026 66.21 3170.152 9227.23 441802.1438 0.019 0.018 0.020

Results for RBHT Test 1659

Valid Time Period 2730 to 2820 seconds

Collapsed Liquid Level = 112.697 inches = 2862.51 mm

 (Zosv) Onset of Significant Void = 49.5 inches = 1257 mm

Table A-227 Data Results for RBHT Test 1659 for Time Period 2730 to 2820 seconds
A-684

Table A-228 Energy Balance Results for RBHT Test 1659D for Time Period 2730 to 2820 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2333.5883 7.3615 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

0.25 6.35 2463.2321 7.7704 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

0.50 12.70 2592.8759 8.1794 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

0.75 19.05 2722.5197 8.5884 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

1.00 25.40 2852.1635 8.9974 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

1.25 31.75 2981.8073 9.4063 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

1.50 38.10 3111.4511 9.8153 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

1.75 44.45 3241.0949 10.224 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

2.00 50.80 3370.7387 10.633 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

2.25 57.15 3500.3825 11.042 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

2.50 63.50 3630.0263 11.451 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

2.75 69.85 3759.6701 11.86 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

3.00 76.20 3889.3139 12.269 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

3.25 82.55 4018.9577 12.678 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

3.50 88.90 4148.6015 13.087 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

3.75 95.25 4278.2453 13.496 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

4.00 101.60 4407.8891 13.905 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

4.25 107.95 4537.5329 14.314 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

4.50 114.30 4667.1767 14.723 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

4.75 120.65 4796.8205 15.132 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

5.00 127.00 4926.4642 15.541 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

5.25 133.35 5056.108 15.95 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

5.50 139.70 5185.7518 16.359 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

5.75 146.05 5315.3956 16.768 0.00E+00 0.00E+00 0.00E+00 8.71E-02 3.95E-02

6.00 152.40 5445.0394 17.177 6.72E-03 2.41E-01 1.10E-01 8.66E-02 3.93E-02

6.25 158.75 5574.6832 17.586 1.37E-02 4.94E-01 2.24E-01 8.59E-02 3.90E-02

6.50 165.10 5704.327 17.995 2.09E-02 7.51E-01 3.41E-01 8.53E-02 3.87E-02

6.75 171.45 5833.9708 18.404 2.82E-02 1.02E+00 4.60E-01 8.47E-02 3.84E-02

7.00 177.80 5963.6146 18.813 3.58E-02 1.29E+00 5.83E-01 8.40E-02 3.81E-02

7.25 184.15 6093.2584 19.222 4.34E-02 1.56E+00 7.08E-01 8.34E-02 3.78E-02

7.50 190.50 6222.9022 19.631 5.13E-02 1.84E+00 8.36E-01 8.27E-02 3.75E-02

7.75 196.85 6352.546 20.04 5.93E-02 2.13E+00 9.66E-01 8.20E-02 3.72E-02

8.00 203.20 6482.1898 20.449 6.74E-02 2.42E+00 1.10E+00 8.13E-02 3.69E-02

8.25 209.55 6611.8336 20.858 7.58E-02 2.72E+00 1.24E+00 8.05E-02 3.65E-02

8.50 215.90 6741.4774 21.266 8.43E-02 3.03E+00 1.37E+00 7.98E-02 3.62E-02

8.75 222.25 6871.1212 21.675 9.29E-02 3.34E+00 1.52E+00 7.90E-02 3.59E-02

9.00 228.60 7000.765 22.084 1.02E-01 3.66E+00 1.66E+00 7.83E-02 3.55E-02

9.25 234.95 6611.8336 20.858 1.10E-01 3.97E+00 1.80E+00 7.75E-02 3.52E-02

9.50 241.30 6222.9022 19.631 1.19E-01 4.26E+00 1.93E+00 7.68E-02 3.48E-02

9.75 247.65 5833.9708 18.404 1.26E-01 4.54E+00 2.06E+00 7.61E-02 3.45E-02

10.00 254.00 5445.0394 17.177 1.33E-01 4.80E+00 2.18E+00 7.55E-02 3.43E-02

10.25 260.35 5056.108 15.95 1.40E-01 5.04E+00 2.28E+00 7.49E-02 3.40E-02

10.50 266.70 4667.1767 14.723 1.46E-01 5.26E+00 2.39E+00 7.44E-02 3.37E-02

10.75 273.05 4278.2453 13.496 1.52E-01 5.46E+00 2.48E+00 7.39E-02 3.35E-02

11.00 279.40 3889.3139 12.269 1.57E-01 5.65E+00 2.56E+00 7.34E-02 3.33E-02

11.25 285.75 3500.3825 11.042 1.62E-01 5.82E+00 2.64E+00 7.30E-02 3.31E-02

11.50 292.10 3111.4511 9.8153 1.66E-01 5.97E+00 2.71E+00 7.27E-02 3.30E-02

11.75 298.45 2722.5197 8.5884 1.70E-01 6.10E+00 2.77E+00 7.23E-02 3.28E-02

12.00 304.80 2333.5883 7.3615 1.73E-01 6.22E+00 2.82E+00 7.21E-02 3.27E-02

Results for RBHT Test 1659

Valid Time Period 2730 to 2820 seconds
A-685

Figure A-570 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659D for Time Period 2730 to 2820 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-686

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-E 

Test Conditions

Date: 7/9/2003

Steady-state time window: 3680 – 3730 seconds

Inlet flow rate: 2.525 cm/sec (0.994 in./sec) 

Inlet mass flow rate: 0.118 kg/sec (0.260 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-687

Figure A-571 Inlet Flow Plot for Experiment 1659E 

Figure A-572 Inlet Temperature Plot for Experiment 1659E 
A-688

Figure A-573 System Pressure Plot for Experiment 1659E 

Figure A-574 Bundle Power Plot for Experiment 1659E 
A-689

Table A-229: Data Results for RBHT Test 1659 for Time Period 3680 to 3730 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.476 29.929 1433.016 0.323 15.465 0.079 3.783 0.000 0.000 29.52 1413.425 8669.52 415098.8457 0.483 0.481 0.485

* 120-133 3048-3378 383 0.539 31.098 1488.964 0.350 16.758 0.141 6.751 -4.623 -221.367 35.23 1686.821 8704.75 416785.6671 0.478 0.476 0.480

* 108-120 2743-3048 382 0.444 34.676 1660.289 0.279 13.359 0.176 8.427 1.071 51.273 33.15 1587.231 8737.9 418372.8976 0.468 0.466 0.470

100-108 2540-2743 381 0.456 22.601 1082.160 0.156 7.469 0.128 6.129 0.000 0.000 22.31 1068.209 8760.21 419441.1062 0.463 0.461 0.465

97-100 2464-2540 380 0.352 10.091 483.142 0.052 2.490 0.046 2.202 0.000 0.000 9.991 478.372 8770.201 419919.4778 0.359 0.357 0.361

93-97 2362-2464 379 0.370 13.098 627.115 0.063 3.016 0.061 2.921 0.000 0.000 12.97 621.007 8783.171 420540.4848 0.375 0.373 0.377

* 85-93 2159-2362 378 0.281 29.882 1430.778 0.105 5.027 0.116 5.554 2.811 134.612 26.85 1285.585 8810.021 421826.0697 0.354 0.352 0.356

81-85 2057-2159 377 0.327 13.980 669.387 0.041 1.963 0.056 2.681 0.000 0.000 13.88 664.578 8823.901 422490.6476 0.332 0.330 0.334

78-81 1981-2057 376 0.319 10.605 507.760 0.026 1.245 0.041 1.963 0.000 0.000 10.54 504.658 8834.441 422995.3055 0.324 0.322 0.326

75-78 1905-1981 375 0.158 13.113 627.861 0.021 1.005 0.040 1.915 0.000 0.000 13.05 624.837 8847.491 423620.1429 0.162 0.161 0.163

72-75 1829-1905 374 0.091 14.162 678.090 0.015 0.718 0.039 1.867 0.000 0.000 14.1 675.112 8861.591 424295.2545 0.094 0.089 0.099

* 67-72 1702-1829 373 0.064 24.315 1164.217 0.013 0.622 0.044 2.107 0.298 14.277 23.96 1147.211 8885.551 425442.4655 0.077 0.073 0.081

63-67 1600-1702 372 0.060 19.537 935.451 0.001 0.048 0.000 0.000 0.000 0.000 19.53 935.101 8905.081 426377.5669 0.06 0.057 0.063

60-63 1524-1600 371 0.036 15.024 719.368 0.001 0.048 0.000 0.000 0.000 0.000 15.02 719.161 8920.101 427096.7283 0.036 0.034 0.038

57-60 1448-1524 370 0.071 14.469 692.761 0.001 0.048 0.000 0.000 0.000 0.000 14.46 692.349 8934.561 427789.0769 0.071 0.067 0.075

53-57 1346-1448 369 0.058 19.563 936.695 0.001 0.048 0.000 0.000 0.000 0.000 19.55 936.059 8954.111 428725.1359 0.058 0.055 0.061

* 46-53 1168-1346 368 0.057 34.266 1640.645 0.002 0.096 0.000 0.000 -0.176 -8.446 34.44 1648.996 8988.551 430374.1319 0.052 0.049 0.055

43-46 1092-1168 367 0.046 14.858 711.410 0.001 0.048 0.000 0.000 0.000 0.000 14.85 711.022 9003.401 431085.1538 0.046 0.044 0.048

37-43 940-1092 366 0.046 29.737 1423.816 0.002 0.096 0.000 0.000 0.000 0.000 29.73 1423.480 9033.131 432508.6338 0.046 0.044 0.048

* 25-37 635-940 365 0.038 59.926 2869.264 0.004 0.192 0.000 0.000 0.232 11.100 59.69 2857.973 9092.821 435366.6063 0.042 0.040 0.044

13-25 330-635 364 0.038 59.957 2870.756 0.004 0.192 0.000 0.000 0.000 0.000 59.93 2869.464 9152.751 438236.0701 0.038 0.036 0.040

* 0-13 0-330 363 0.030 65.514 3136.820 0.004 0.192 0.000 0.000 -0.700 -33.523 66.21 3170.152 9218.961 441406.222 0.019 0.018 0.020

Results for RBHT Test 1659

Valid Time Period 3680 to 3730 seconds

Collapsed Liquid Level = 112.212 inches = 2850.18 mm

 (Zosv) Onset of Significant Void = 49.5 inches = 1257 mm

Table A-229 Data Results for RBHT Test 1659 for Time Period 3680 to 3730 seconds
A-690

Table A-230 Energy Balance Results for RBHT Test 1659E for Time Period 3680 to 3730 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2332.5832 7.3583 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

0.25 6.35 2462.1711 7.7671 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

0.50 12.70 2591.7591 8.1759 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

0.75 19.05 2721.347 8.5847 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

1.00 25.40 2850.935 8.9935 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

1.25 31.75 2980.5229 9.4023 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

1.50 38.10 3110.1109 9.8111 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

1.75 44.45 3239.6988 10.22 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

2.00 50.80 3369.2868 10.629 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

2.25 57.15 3498.8748 11.037 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

2.50 63.50 3628.4627 11.446 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

2.75 69.85 3758.0507 11.855 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

3.00 76.20 3887.6386 12.264 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

3.25 82.55 4017.2266 12.673 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

3.50 88.90 4146.8145 13.081 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

3.75 95.25 4276.4025 13.49 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

4.00 101.60 4405.9904 13.899 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

4.25 107.95 4535.5784 14.308 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

4.50 114.30 4665.1663 14.717 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

4.75 120.65 4794.7543 15.125 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

5.00 127.00 4924.3422 15.534 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

5.25 133.35 5053.9302 15.943 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

5.50 139.70 5183.5182 16.352 0.00E+00 0.00E+00 0.00E+00 8.63E-02 3.91E-02

5.75 146.05 5313.1061 16.761 1.13E-03 4.03E-02 1.83E-02 8.62E-02 3.91E-02

6.00 152.40 5442.6941 17.169 8.05E-03 2.86E-01 1.30E-01 8.56E-02 3.88E-02

6.25 158.75 5572.282 17.578 1.51E-02 5.38E-01 2.44E-01 8.50E-02 3.85E-02

6.50 165.10 5701.87 17.987 2.24E-02 7.96E-01 3.61E-01 8.44E-02 3.83E-02

6.75 171.45 5831.4579 18.396 2.98E-02 1.06E+00 4.81E-01 8.37E-02 3.80E-02

7.00 177.80 5961.0459 18.805 3.74E-02 1.33E+00 6.03E-01 8.31E-02 3.77E-02

7.25 184.15 6090.6338 19.213 4.51E-02 1.61E+00 7.28E-01 8.24E-02 3.74E-02

7.50 190.50 6220.2218 19.622 5.30E-02 1.89E+00 8.56E-01 8.17E-02 3.71E-02

7.75 196.85 6349.8097 20.031 6.11E-02 2.17E+00 9.86E-01 8.10E-02 3.67E-02

8.00 203.20 6479.3977 20.44 6.93E-02 2.47E+00 1.12E+00 8.03E-02 3.64E-02

8.25 209.55 6608.9856 20.849 7.77E-02 2.77E+00 1.26E+00 7.96E-02 3.61E-02

8.50 215.90 6738.5736 21.257 8.63E-02 3.07E+00 1.39E+00 7.88E-02 3.58E-02

8.75 222.25 6868.1616 21.666 9.51E-02 3.38E+00 1.53E+00 7.81E-02 3.54E-02

9.00 228.60 6997.7495 22.075 1.04E-01 3.70E+00 1.68E+00 7.73E-02 3.51E-02

9.25 234.95 6608.9856 20.849 1.13E-01 4.01E+00 1.82E+00 7.66E-02 3.47E-02

9.50 241.30 6220.2218 19.622 1.21E-01 4.31E+00 1.95E+00 7.58E-02 3.44E-02

9.75 247.65 5831.4579 18.396 1.29E-01 4.58E+00 2.08E+00 7.52E-02 3.41E-02

10.00 254.00 5442.6941 17.169 1.36E-01 4.84E+00 2.20E+00 7.45E-02 3.38E-02

10.25 260.35 5053.9302 15.943 1.43E-01 5.08E+00 2.30E+00 7.40E-02 3.36E-02

10.50 266.70 4665.1663 14.717 1.49E-01 5.30E+00 2.40E+00 7.34E-02 3.33E-02

10.75 273.05 4276.4025 13.49 1.55E-01 5.51E+00 2.50E+00 7.29E-02 3.31E-02

11.00 279.40 3887.6386 12.264 1.60E-01 5.69E+00 2.58E+00 7.25E-02 3.29E-02

11.25 285.75 3498.8748 11.037 1.65E-01 5.86E+00 2.66E+00 7.21E-02 3.27E-02

11.50 292.10 3110.1109 9.8111 1.69E-01 6.01E+00 2.73E+00 7.17E-02 3.25E-02

11.75 298.45 2721.347 8.5847 1.73E-01 6.15E+00 2.79E+00 7.14E-02 3.24E-02

12.00 304.80 2332.5832 7.3583 1.76E-01 6.26E+00 2.84E+00 7.11E-02 3.23E-02

Results for RBHT Test 1659

Valid Time Period 3680 to 3730 seconds
A-691

Figure A-575 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659E for Time Period 3680 to 3730 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-692

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-F 

Test Conditions

Date: 7/9/2003

Steady-state time window: 996 – 1146 seconds

Inlet flow rate: 2.032 cm/sec (0.800 in./sec) 

Inlet mass flow rate: 0.095 kg/sec (0.209 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-693

Figure A-576 Inlet Flow Plot for Experiment 1659F 

Figure A-577 Inlet Temperature Plot for Experiment 1659F 
A-694

Figure A-578 System Pressure Plot for Experiment 1659F 

Figure A-579 Bundle Power Plot for Experiment 1659F 
A-695

Table A-231: Data Results for RBHT Test 1659 for Time Period 996 to 1146 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.484 29.457 1410.388 0.272 13.023 0.064 3.064 0.000 0.000 29.11 1393.794 8669.11 415079.2148 0.49 0.488 0.492

* 120-133 3048-3378 383 0.553 30.158 1443.957 0.297 14.220 0.113 5.410 -4.982 -238.555 34.73 1662.881 8703.84 416742.0961 0.485 0.483 0.487

* 108-120 2743-3048 382 0.449 34.323 1643.381 0.240 11.491 0.142 6.799 1.291 61.800 32.65 1563.290 8736.49 418305.3865 0.476 0.474 0.478

100-108 2540-2743 381 0.465 22.217 1063.759 0.137 6.560 0.104 4.980 0.000 0.000 21.97 1051.929 8758.46 419357.3157 0.471 0.469 0.473

97-100 2464-2540 380 0.361 9.956 476.677 0.046 2.202 0.037 1.772 0.000 0.000 9.867 472.434 8768.327 419829.7502 0.367 0.365 0.369

93-97 2362-2464 379 0.384 12.791 612.445 0.057 2.729 0.049 2.346 0.000 0.000 12.68 607.122 8781.007 420436.8719 0.39 0.388 0.392

* 85-93 2159-2362 378 0.294 29.342 1404.918 0.100 4.788 0.094 4.501 2.728 130.632 26.42 1264.996 8807.427 421701.8683 0.364 0.362 0.366

81-85 2057-2159 377 0.334 13.830 662.176 0.042 2.011 0.045 2.155 0.000 0.000 13.74 657.875 8821.167 422359.743 0.339 0.337 0.341

78-81 1981-2057 376 0.345 10.210 488.862 0.028 1.341 0.033 1.580 0.000 0.000 10.14 485.506 8831.307 422845.2488 0.349 0.347 0.351

75-78 1905-1981 375 0.217 12.204 584.346 0.025 1.197 0.032 1.532 0.000 0.000 12.14 581.266 8843.447 423426.5151 0.22 0.219 0.221

72-75 1829-1905 374 0.171 12.921 618.661 0.022 1.053 0.031 1.484 0.000 0.000 12.87 616.219 8856.317 424042.734 0.174 0.173 0.175

* 67-72 1702-1829 373 0.103 23.297 1115.480 0.029 1.389 0.051 2.442 0.377 18.064 22.84 1093.585 8879.157 425136.3191 0.12 0.119 0.121

63-67 1600-1702 372 0.064 19.449 931.224 0.015 0.718 0.039 1.867 0.000 0.000 19.39 928.398 8898.547 426064.7173 0.066 0.063 0.06960-63 1524-1600 371 0.041 14.946 715.638 0.005 0.239 0.028 1.341 0.000 0.000 14.91 713.895 8913.457 426778.6119 0.043 0.041 0.045

57-60 1448-1524 370 0.075 14.406 689.777 0.001 0.048 0.001 0.048 0.000 0.000 14.4 689.476 8927.857 427468.0876 0.075 0.071 0.079

53-57 1346-1448 369 0.062 19.496 933.462 0.001 0.048 0.000 0.000 0.000 0.000 19.49 933.186 8947.347 428401.2738 0.061 0.058 0.064

* 46-53 1168-1346 368 0.060 34.177 1636.418 0.001 0.048 0.000 0.000 -0.164 -7.838 34.34 1644.208 8981.687 430045.4819 0.055 0.052 0.058

43-46 1092-1168 367 0.049 14.817 709.421 0.001 0.048 0.000 0.000 0.000 0.000 14.81 709.107 8996.497 430754.5885 0.049 0.047 0.051

37-43 940-1092 366 0.048 29.675 1420.832 0.001 0.048 0.000 0.000 0.000 0.000 29.66 1420.128 9026.157 432174.7169 0.048 0.046 0.050

* 25-37 635-940 365 0.040 59.806 2863.545 0.002 0.096 0.000 0.000 0.194 9.307 59.61 2854.142 9085.767 435028.859 0.043 0.041 0.045

13-25 330-635 364 0.039 59.910 2868.518 0.002 0.096 0.000 0.000 0.000 0.000 59.89 2867.549 9145.657 437896.4076 0.039 0.037 0.041

* 0-13 0-330 363 0.029 65.529 3137.566 0.003 0.144 0.000 0.000 -0.664 -31.772 66.19 3169.194 9211.847 441065.6018 0.019 0.018 0.020

Results for RBHT Test 1659

Valid Time Period 996 to 1146 seconds

Collapsed Liquid Level = 109.254 inches = 2775.06 mm

 (Zosv) Onset of Significant Void = 49.5 inches = 1257 mm

Table A-231 Data Results for RBHT Test 1659 for Time Period 996 to 1146 seconds
A-696

Table A-232 Energy Balance Results for RBHT Test 1659F for Time Period 996 to 1146 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2332.7696 7.3589 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

0.25 6.35 2462.3679 7.7677 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

0.50 12.70 2591.9662 8.1765 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

0.75 19.05 2721.5645 8.5854 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

1.00 25.40 2851.1629 8.9942 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

1.25 31.75 2980.7612 9.403 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

1.50 38.10 3110.3595 9.8119 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

1.75 44.45 3239.9578 10.221 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

2.00 50.80 3369.5561 10.63 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

2.25 57.15 3499.1544 11.038 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

2.50 63.50 3628.7527 11.447 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

2.75 69.85 3758.351 11.856 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

3.00 76.20 3887.9493 12.265 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

3.25 82.55 4017.5477 12.674 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

3.50 88.90 4147.146 13.082 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

3.75 95.25 4276.7443 13.491 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

4.00 101.60 4406.3426 13.9 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

4.25 107.95 4535.9409 14.309 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

4.50 114.30 4665.5392 14.718 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

4.75 120.65 4795.1375 15.127 0.00E+00 0.00E+00 0.00E+00 6.95E-02 3.15E-02

5.00 127.00 4924.7358 15.535 1.67E-04 4.79E-03 2.17E-03 6.94E-02 3.15E-02

5.25 133.35 5054.3342 15.944 8.13E-03 2.33E-01 1.06E-01 6.89E-02 3.13E-02

5.50 139.70 5183.9325 16.353 1.63E-02 4.68E-01 2.12E-01 6.83E-02 3.10E-02

5.75 146.05 5313.5308 16.762 2.47E-02 7.08E-01 3.21E-01 6.77E-02 3.07E-02

6.00 152.40 5443.1291 17.171 3.33E-02 9.55E-01 4.33E-01 6.71E-02 3.05E-02

6.25 158.75 5572.7274 17.58 4.21E-02 1.21E+00 5.48E-01 6.65E-02 3.02E-02

6.50 165.10 5702.3257 17.988 5.11E-02 1.47E+00 6.65E-01 6.59E-02 2.99E-02

6.75 171.45 5831.924 18.397 6.03E-02 1.73E+00 7.84E-01 6.53E-02 2.96E-02

7.00 177.80 5961.5223 18.806 6.97E-02 2.00E+00 9.07E-01 6.46E-02 2.93E-02

7.25 184.15 6091.1206 19.215 7.93E-02 2.28E+00 1.03E+00 6.40E-02 2.90E-02

7.50 190.50 6220.719 19.624 8.91E-02 2.56E+00 1.16E+00 6.33E-02 2.87E-02

7.75 196.85 6350.3173 20.033 9.92E-02 2.85E+00 1.29E+00 6.26E-02 2.84E-02

8.00 203.20 6479.9156 20.441 1.09E-01 3.14E+00 1.42E+00 6.19E-02 2.81E-02

8.25 209.55 6609.5139 20.85 1.20E-01 3.44E+00 1.56E+00 6.11E-02 2.77E-02

8.50 215.90 6739.1122 21.259 1.31E-01 3.75E+00 1.70E+00 6.04E-02 2.74E-02

8.75 222.25 6868.7105 21.668 1.41E-01 4.06E+00 1.84E+00 5.96E-02 2.71E-02

9.00 228.60 6998.3088 22.077 1.52E-01 4.37E+00 1.98E+00 5.89E-02 2.67E-02

9.25 234.95 6609.5139 20.85 1.63E-01 4.69E+00 2.13E+00 5.81E-02 2.64E-02

9.50 241.30 6220.719 19.624 1.74E-01 4.98E+00 2.26E+00 5.74E-02 2.60E-02

9.75 247.65 5831.924 18.397 1.83E-01 5.25E+00 2.38E+00 5.67E-02 2.57E-02

10.00 254.00 5443.1291 17.171 1.92E-01 5.51E+00 2.50E+00 5.61E-02 2.55E-02

10.25 260.35 5054.3342 15.944 2.01E-01 5.75E+00 2.61E+00 5.55E-02 2.52E-02

10.50 266.70 4665.5392 14.718 2.08E-01 5.98E+00 2.71E+00 5.50E-02 2.49E-02

10.75 273.05 4276.7443 13.491 2.15E-01 6.18E+00 2.80E+00 5.45E-02 2.47E-02

11.00 279.40 3887.9493 12.265 2.22E-01 6.37E+00 2.89E+00 5.40E-02 2.45E-02

11.25 285.75 3499.1544 11.038 2.28E-01 6.54E+00 2.97E+00 5.36E-02 2.43E-02

11.50 292.10 3110.3595 9.8119 2.33E-01 6.69E+00 3.03E+00 5.33E-02 2.42E-02

11.75 298.45 2721.5645 8.5854 2.38E-01 6.82E+00 3.10E+00 5.29E-02 2.40E-02

12.00 304.80 2332.7696 7.3589 2.42E-01 6.94E+00 3.15E+00 5.27E-02 2.39E-02

Results for RBHT Test 1659

Valid Time Period 996 to 1146 seconds
A-697

Figure A-580 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659F for Time Period 996 to 1146 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-698

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-G 

Test Conditions

Date: 7/9/2003

Steady-state time window: 1443 – 1620 seconds

Inlet flow rate: 2.090 cm/sec (0.823 in./sec) 

Inlet mass flow rate: 0.098 kg/sec (0.216 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-699

Figure A-581 Inlet Flow Plot for Experiment 1659G 

Figure A-582 Inlet Temperature Plot for Experiment 1659G 
A-700

Figure A-583 System Pressure Plot for Experiment 1659G 

Figure A-584 Bundle Power Plot for Experiment 1659G 
A-701

Table A-233: Data Results for RBHT Test 1659 for Time Period 1443 to 1620 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.500 28.553 1367.122 0.279 13.359 0.065 3.112 0.000 0.000 28.2 1350.223 8668.2 415035.6437 0.506 0.503 0.509

* 120-133 3048-3378 383 0.568 29.150 1395.717 0.305 14.603 0.117 5.602 -4.692 -224.646 33.42 1600.158 8701.62 416635.8019 0.505 0.502 0.508

* 108-120 2743-3048 382 0.463 33.440 1601.109 0.246 11.779 0.146 6.991 2.028 97.094 31.02 1485.246 8732.64 418121.0475 0.502 0.499 0.505

100-108 2540-2743 381 0.495 20.986 1004.827 0.141 6.751 0.106 5.075 0.000 0.000 20.73 992.558 8753.37 419113.6052 0.501 0.498 0.504

97-100 2464-2540 380 0.382 9.628 461.012 0.047 2.250 0.039 1.867 0.000 0.000 9.539 456.730 8762.909 419570.335 0.388 0.386 0.390

93-97 2362-2464 379 0.406 12.350 591.309 0.059 2.825 0.050 2.394 0.000 0.000 12.24 586.054 8775.149 420156.3893 0.411 0.409 0.413

* 85-93 2159-2362 378 0.330 27.857 1333.801 0.102 4.884 0.096 4.597 3.079 147.424 24.58 1176.897 8799.729 421333.2861 0.408 0.406 0.410

81-85 2057-2159 377 0.401 12.443 595.785 0.043 2.059 0.046 2.202 0.000 0.000 12.35 591.321 8812.079 421924.6072 0.405 0.403 0.407

78-81 1981-2057 376 0.403 9.296 445.098 0.029 1.389 0.034 1.628 0.000 0.000 9.229 441.887 8821.308 422366.4941 0.408 0.406 0.410

75-78 1905-1981 375 0.276 11.280 540.085 0.025 1.197 0.033 1.580 0.000 0.000 11.22 537.216 8832.528 422903.7106 0.28 0.279 0.281

72-75 1829-1905 374 0.220 12.147 581.611 0.022 1.053 0.032 1.532 0.000 0.000 12.09 578.872 8844.618 423482.5829 0.224 0.223 0.225

* 67-72 1702-1829 373 0.174 21.454 1027.206 0.029 1.389 0.052 2.490 -0.617 -29.559 21.99 1052.887 8866.608 424535.4698 0.153 0.152 0.154

63-67 1600-1702 372 0.079 19.137 916.305 0.015 0.718 0.040 1.915 0.000 0.000 19.08 913.555 8885.688 425449.0251 0.081 0.077 0.08560-63 1524-1600 371 0.045 14.884 712.654 0.005 0.239 0.024 1.149 0.000 0.000 14.85 711.022 8900.538 426160.0469 0.047 0.045 0.049

57-60 1448-1524 370 0.078 14.365 687.788 0.001 0.048 0.000 0.000 0.000 0.000 14.36 687.560 8914.898 426847.6074 0.078 0.074 0.082

53-57 1346-1448 369 0.064 19.449 931.224 0.001 0.048 0.000 0.000 0.000 0.000 19.44 930.792 8934.338 427778.3996 0.064 0.061 0.067

* 46-53 1168-1346 368 0.062 34.099 1632.688 0.002 0.096 0.000 0.000 -0.163 -7.785 34.26 1640.378 8968.598 429418.7772 0.057 0.054 0.060

43-46 1092-1168 367 0.050 14.796 708.427 0.001 0.048 0.000 0.000 0.000 0.000 14.79 708.149 8983.388 430126.9262 0.05 0.048 0.053

37-43 940-1092 366 0.049 29.644 1419.340 0.001 0.048 0.000 0.000 0.000 0.000 29.63 1418.692 9013.018 431545.6182 0.049 0.047 0.051

* 25-37 635-940 365 0.041 59.739 2860.313 0.003 0.144 0.000 0.000 0.176 8.421 59.56 2851.748 9072.578 434397.3663 0.044 0.042 0.046

13-25 330-635 364 0.039 59.864 2866.280 0.003 0.144 0.000 0.000 0.000 0.000 59.84 2865.155 9132.418 437262.5209 0.039 0.037 0.041

* 0-13 0-330 363 0.030 65.493 3135.826 0.003 0.144 0.000 0.000 -0.670 -32.076 66.16 3167.758 9198.578 440430.2787 0.02 0.019 0.021

Results for RBHT Test 1659

Valid Time Period 1443 to 1620 seconds

Collapsed Liquid Level = 107.382 inches = 2727.50 mm

 (Zosv) Onset of Significant Void = 44.5 inches = 1130 mm

Table A-233 Data Results for RBHT Test 1659 for Time Period 1443 to 1620 seconds
A-702

Table A-234 Energy Balance Results for RBHT Test 1659G for Time Period 1443 to 1620 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2333.0687 7.3598 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

0.25 6.35 2462.6836 7.7687 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

0.50 12.70 2592.2986 8.1776 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

0.75 19.05 2721.9135 8.5865 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

1.00 25.40 2851.5284 8.9953 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

1.25 31.75 2981.1433 9.4042 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

1.50 38.10 3110.7583 9.8131 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

1.75 44.45 3240.3732 10.222 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

2.00 50.80 3369.9881 10.631 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

2.25 57.15 3499.603 11.04 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

2.50 63.50 3629.218 11.449 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

2.75 69.85 3758.8329 11.858 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

3.00 76.20 3888.4478 12.266 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

3.25 82.55 4018.0628 12.675 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

3.50 88.90 4147.6777 13.084 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

3.75 95.25 4277.2926 13.493 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

4.00 101.60 4406.9075 13.902 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

4.25 107.95 4536.5225 14.311 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

4.50 114.30 4666.1374 14.72 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

4.75 120.65 4795.7523 15.129 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

5.00 127.00 4925.3672 15.537 0.00E+00 0.00E+00 0.00E+00 7.15E-02 3.24E-02

5.25 133.35 5054.9822 15.946 6.35E-03 1.87E-01 8.50E-02 7.10E-02 3.22E-02

5.50 139.70 5184.5971 16.355 1.43E-02 4.22E-01 1.91E-01 7.05E-02 3.20E-02

5.75 146.05 5314.212 16.764 2.24E-02 6.62E-01 3.00E-01 6.99E-02 3.17E-02

6.00 152.40 5443.827 17.173 3.08E-02 9.08E-01 4.12E-01 6.93E-02 3.14E-02

6.25 158.75 5573.4419 17.582 3.93E-02 1.16E+00 5.26E-01 6.87E-02 3.12E-02

6.50 165.10 5703.0568 17.991 4.81E-02 1.42E+00 6.43E-01 6.81E-02 3.09E-02

6.75 171.45 5832.6717 18.4 5.70E-02 1.68E+00 7.63E-01 6.74E-02 3.06E-02

7.00 177.80 5962.2867 18.808 6.62E-02 1.95E+00 8.85E-01 6.68E-02 3.03E-02

7.25 184.15 6091.9016 19.217 7.55E-02 2.23E+00 1.01E+00 6.61E-02 3.00E-02

7.50 190.50 6221.5165 19.626 8.51E-02 2.51E+00 1.14E+00 6.54E-02 2.97E-02

7.75 196.85 6351.1314 20.035 9.48E-02 2.80E+00 1.27E+00 6.47E-02 2.94E-02

8.00 203.20 6480.7464 20.444 1.05E-01 3.09E+00 1.40E+00 6.40E-02 2.90E-02

8.25 209.55 6610.3613 20.853 1.15E-01 3.39E+00 1.54E+00 6.33E-02 2.87E-02

8.50 215.90 6739.9762 21.262 1.25E-01 3.70E+00 1.68E+00 6.25E-02 2.84E-02

8.75 222.25 6869.5912 21.671 1.36E-01 4.01E+00 1.82E+00 6.18E-02 2.80E-02

9.00 228.60 6999.2061 22.079 1.47E-01 4.32E+00 1.96E+00 6.10E-02 2.77E-02

9.25 234.95 6610.3613 20.853 1.57E-01 4.63E+00 2.10E+00 6.03E-02 2.73E-02

9.50 241.30 6221.5165 19.626 1.67E-01 4.93E+00 2.24E+00 5.95E-02 2.70E-02

9.75 247.65 5832.6717 18.4 1.76E-01 5.20E+00 2.36E+00 5.89E-02 2.67E-02

10.00 254.00 5443.827 17.173 1.85E-01 5.46E+00 2.48E+00 5.82E-02 2.64E-02

10.25 260.35 5054.9822 15.946 1.93E-01 5.70E+00 2.59E+00 5.77E-02 2.62E-02

10.50 266.70 4666.1374 14.72 2.01E-01 5.93E+00 2.69E+00 5.71E-02 2.59E-02

10.75 273.05 4277.2926 13.493 2.08E-01 6.13E+00 2.78E+00 5.66E-02 2.57E-02

11.00 279.40 3888.4478 12.266 2.14E-01 6.32E+00 2.86E+00 5.62E-02 2.55E-02

11.25 285.75 3499.603 11.04 2.20E-01 6.49E+00 2.94E+00 5.58E-02 2.53E-02

11.50 292.10 3110.7583 9.8131 2.25E-01 6.64E+00 3.01E+00 5.54E-02 2.51E-02

11.75 298.45 2721.9135 8.5865 2.30E-01 6.77E+00 3.07E+00 5.51E-02 2.50E-02

12.00 304.80 2333.0687 7.3598 2.33E-01 6.89E+00 3.12E+00 5.48E-02 2.49E-02

Results for RBHT Test 1659

Valid Time Period 1443 to 1620 seconds
A-703

Figure A-585 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659G for Time Period 1443 to 1620 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-704

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-H 

Test Conditions

Date: 7/9/2003

Steady-state time window: 4127 – 4270 seconds

Inlet flow rate: 2.029 cm/sec (0.799 in./sec) 

Inlet mass flow rate: 0.095 kg/sec (0.209 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-705

Figure A-586 Inlet Flow Plot for Experiment 1659H 

Figure A-587 Inlet Temperature Plot for Experiment 1659H 
A-706

Figure A-588 System Pressure Plot for Experiment 1659H 

Figure A-589 Bundle Power Plot for Experiment 1659H 
A-707

Table A-235: Data Results for RBHT Test 1659 for Time Period 4127 to 4270 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.510 27.992 1340.266 0.275 13.167 0.063 3.016 0.000 0.000 27.64 1323.410 8667.64 415008.8308 0.516 0.513 0.519

* 120-133 3048-3378 383 0.576 28.626 1370.603 0.300 14.364 0.113 5.410 -4.467 -213.899 32.68 1564.727 8700.32 416573.5576 0.516 0.513 0.519

* 108-120 2743-3048 382 0.471 32.983 1579.227 0.243 11.635 0.141 6.751 2.409 115.336 30.19 1445.505 8730.51 418019.0625 0.515 0.512 0.518

100-108 2540-2743 381 0.509 20.384 975.983 0.140 6.703 0.103 4.932 0.000 0.000 20.14 964.308 8750.65 418983.3709 0.515 0.512 0.518

97-100 2464-2540 380 0.390 9.499 454.795 0.047 2.250 0.037 1.772 0.000 0.000 9.411 450.601 8760.061 419433.972 0.396 0.394 0.398

93-97 2362-2464 379 0.419 12.069 577.881 0.059 2.825 0.049 2.346 0.000 0.000 11.96 572.648 8772.021 420006.6199 0.424 0.422 0.426

* 85-93 2159-2362 378 0.342 27.358 1309.930 0.103 4.932 0.093 4.453 3.442 164.826 23.72 1135.720 8795.741 421142.3396 0.429 0.427 0.431

81-85 2057-2159 377 0.429 11.856 567.686 0.044 2.107 0.045 2.155 0.000 0.000 11.76 563.072 8807.501 421705.4114 0.434 0.432 0.436

78-81 1981-2057 376 0.430 8.881 425.205 0.029 1.389 0.033 1.580 0.000 0.000 8.818 422.208 8816.319 422127.6195 0.434 0.432 0.436

75-78 1905-1981 375 0.308 10.776 515.965 0.026 1.245 0.032 1.532 0.000 0.000 10.71 512.798 8827.029 422640.4171 0.312 0.310 0.314

72-75 1829-1905 374 0.249 11.695 559.978 0.023 1.101 0.031 1.484 0.000 0.000 11.64 557.326 8838.669 423197.7433 0.253 0.252 0.254

* 67-72 1702-1829 373 0.219 20.270 970.512 0.032 1.532 0.050 2.394 -0.832 -39.857 21.02 1006.443 8859.689 424204.1863 0.19 0.189 0.191

63-67 1600-1702 372 0.125 18.177 870.303 0.018 0.862 0.039 1.867 0.000 0.000 18.11 867.111 8877.799 425071.2977 0.128 0.127 0.12960-63 1524-1600 371 0.048 14.837 710.416 0.008 0.383 0.028 1.341 0.000 0.000 14.8 708.628 8892.599 425779.9255 0.05 0.048 0.053

57-60 1448-1524 370 0.079 14.344 686.793 0.004 0.192 0.015 0.718 0.000 0.000 14.32 685.645 8906.919 426465.5708 0.081 0.077 0.085

53-57 1346-1448 369 0.066 19.407 929.235 0.001 0.048 0.000 0.000 0.000 0.000 19.4 928.877 8926.319 427394.4478 0.066 0.063 0.069

* 46-53 1168-1346 368 0.064 34.032 1629.456 0.001 0.048 0.000 0.000 -0.169 -8.097 34.2 1637.505 8960.519 429031.9526 0.059 0.056 0.062

43-46 1092-1168 367 0.052 14.770 707.183 0.001 0.048 0.000 0.000 0.000 0.000 14.76 706.713 8975.279 429738.6652 0.052 0.049 0.055

37-43 940-1092 366 0.050 29.597 1417.102 0.001 0.048 0.000 0.000 0.000 0.000 29.59 1416.777 9004.869 431155.442 0.05 0.048 0.053

* 25-37 635-940 365 0.042 59.708 2858.821 0.002 0.096 0.000 0.000 0.206 9.850 59.5 2848.875 9064.369 434004.3173 0.045 0.043 0.047

13-25 330-635 364 0.040 59.838 2865.037 0.002 0.096 0.000 0.000 0.000 0.000 59.82 2864.197 9124.189 436868.5142 0.04 0.038 0.042

* 0-13 0-330 363 0.030 65.467 3134.582 0.003 0.144 0.000 0.000 -0.686 -32.840 66.15 3167.279 9190.339 440035.7932 0.02 0.019 0.021

Results for RBHT Test 1659

Valid Time Period 4127 to 4270 seconds

Collapsed Liquid Level = 106.565 inches = 2706.74 mm

 (Zosv) Onset of Significant Void = 40 inches = 1016 mm

Table A-235 Data Results for RBHT Test 1659 for Time Period 4127 to 4270 seconds
A-708

Table A-236 Energy Balance Results for RBHT Test 1659H for Time Period 4127 to 4270 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2331.1588 7.3538 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

0.25 6.35 2460.6676 7.7624 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

0.50 12.70 2590.1765 8.1709 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

0.75 19.05 2719.6853 8.5794 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

1.00 25.40 2849.1941 8.988 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

1.25 31.75 2978.7029 9.3965 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

1.50 38.10 3108.2118 9.8051 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

1.75 44.45 3237.7206 10.214 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

2.00 50.80 3367.2294 10.622 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

2.25 57.15 3496.7382 11.031 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

2.50 63.50 3626.2471 11.439 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

2.75 69.85 3755.7559 11.848 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

3.00 76.20 3885.2647 12.256 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

3.25 82.55 4014.7735 12.665 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

3.50 88.90 4144.2824 13.073 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

3.75 95.25 4273.7912 13.482 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

4.00 101.60 4403.3 13.891 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

4.25 107.95 4532.8088 14.299 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

4.50 114.30 4662.3176 14.708 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

4.75 120.65 4791.8265 15.116 0.00E+00 0.00E+00 0.00E+00 6.94E-02 3.15E-02

5.00 127.00 4921.3353 15.525 4.29E-03 1.23E-01 5.57E-02 6.91E-02 3.13E-02

5.25 133.35 5050.8441 15.933 1.23E-02 3.51E-01 1.59E-01 6.85E-02 3.11E-02

5.50 139.70 5180.3529 16.342 2.04E-02 5.85E-01 2.65E-01 6.80E-02 3.08E-02

5.75 146.05 5309.8618 16.75 2.88E-02 8.25E-01 3.74E-01 6.74E-02 3.06E-02

6.00 152.40 5439.3706 17.159 3.74E-02 1.07E+00 4.86E-01 6.68E-02 3.03E-02

6.25 158.75 5568.8794 17.567 4.62E-02 1.32E+00 6.00E-01 6.62E-02 3.00E-02

6.50 165.10 5698.3882 17.976 5.52E-02 1.58E+00 7.17E-01 6.56E-02 2.97E-02

6.75 171.45 5827.8971 18.385 6.44E-02 1.84E+00 8.36E-01 6.49E-02 2.95E-02

7.00 177.80 5957.4059 18.793 7.38E-02 2.11E+00 9.59E-01 6.43E-02 2.92E-02

7.25 184.15 6086.9147 19.202 8.34E-02 2.39E+00 1.08E+00 6.36E-02 2.89E-02

7.50 190.50 6216.4235 19.61 9.33E-02 2.67E+00 1.21E+00 6.29E-02 2.85E-02

7.75 196.85 6345.9324 20.019 1.03E-01 2.96E+00 1.34E+00 6.22E-02 2.82E-02

8.00 203.20 6475.4412 20.427 1.14E-01 3.25E+00 1.48E+00 6.15E-02 2.79E-02

8.25 209.55 6604.95 20.836 1.24E-01 3.55E+00 1.61E+00 6.08E-02 2.76E-02

8.50 215.90 6734.4588 21.244 1.35E-01 3.86E+00 1.75E+00 6.01E-02 2.72E-02

8.75 222.25 6863.9676 21.653 1.46E-01 4.17E+00 1.89E+00 5.93E-02 2.69E-02

9.00 228.60 6993.4765 22.061 1.57E-01 4.48E+00 2.03E+00 5.85E-02 2.65E-02

9.25 234.95 6604.95 20.836 1.68E-01 4.80E+00 2.18E+00 5.78E-02 2.62E-02

9.50 241.30 6216.4235 19.61 1.78E-01 5.09E+00 2.31E+00 5.71E-02 2.59E-02

9.75 247.65 5827.8971 18.385 1.87E-01 5.36E+00 2.43E+00 5.64E-02 2.56E-02

10.00 254.00 5439.3706 17.159 1.96E-01 5.62E+00 2.55E+00 5.58E-02 2.53E-02

10.25 260.35 5050.8441 15.933 2.05E-01 5.86E+00 2.66E+00 5.52E-02 2.50E-02

10.50 266.70 4662.3176 14.708 2.13E-01 6.08E+00 2.76E+00 5.47E-02 2.48E-02

10.75 273.05 4273.7912 13.482 2.20E-01 6.29E+00 2.85E+00 5.42E-02 2.46E-02

11.00 279.40 3885.2647 12.256 2.26E-01 6.47E+00 2.94E+00 5.37E-02 2.44E-02

11.25 285.75 3496.7382 11.031 2.32E-01 6.64E+00 3.01E+00 5.33E-02 2.42E-02

11.50 292.10 3108.2118 9.8051 2.37E-01 6.79E+00 3.08E+00 5.29E-02 2.40E-02

11.75 298.45 2719.6853 8.5794 2.42E-01 6.93E+00 3.14E+00 5.26E-02 2.39E-02

12.00 304.80 2331.1588 7.3538 2.46E-01 7.04E+00 3.20E+00 5.23E-02 2.37E-02

Results for RBHT Test 1659

Valid Time Period 4127 to 4270 seconds
A-709

Figure A-590 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659H for Time Period 4127 to 4270 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-710

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-I 

Test Conditions

Date: 7/9/2003

Steady-state time window: 4550 – 4660 seconds

Inlet flow rate: 1.527 cm/sec (0.601 in./sec) 

Inlet mass flow rate: 0.071 kg/sec (0.157 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-711

Figure A-591 Inlet Flow Plot for Experiment 1659I 

Figure A-592 Inlet Temperature Plot for Experiment 1659I 
A-712

Figure A-593 System Pressure Plot for Experiment 1659I 

Figure A-594 Bundle Power Plot for Experiment 1659I 
A-713

Table A-237: Data Results for RBHT Test 1659 for Time Period 4550 to 4660 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.566 24.803 1187.590 0.217 10.390 0.048 2.298 0.000 0.000 24.53 1174.503 8664.53 414859.9232 0.57 0.567 0.573

* 120-133 3048-3378 383 0.610 26.351 1261.691 0.238 11.396 0.085 4.070 -3.062 -146.611 29.09 1392.837 8693.62 416252.7599 0.569 0.566 0.572

* 108-120 2743-3048 382 0.499 31.196 1493.688 0.195 9.337 0.106 5.075 3.855 184.594 27.04 1294.682 8720.66 417547.442 0.566 0.563 0.569

100-108 2540-2743 381 0.560 18.286 875.525 0.114 5.458 0.078 3.735 0.000 0.000 18.09 866.154 8738.75 418413.5959 0.565 0.562 0.568

97-100 2464-2540 380 0.425 8.953 428.686 0.039 1.867 0.028 1.341 0.000 0.000 8.882 425.272 8747.632 418838.8683 0.43 0.428 0.432

93-97 2362-2464 379 0.462 11.186 535.609 0.049 2.346 0.037 1.772 0.000 0.000 11.1 531.471 8758.732 419370.3392 0.466 0.464 0.468

* 85-93 2159-2362 378 0.376 25.920 1241.052 0.088 4.213 0.070 3.352 4.522 216.510 21.24 1016.977 8779.972 420387.3158 0.489 0.487 0.491

81-85 2057-2159 377 0.508 10.220 489.359 0.039 1.867 0.034 1.628 0.000 0.000 10.14 485.506 8790.112 420872.8216 0.512 0.509 0.515

78-81 1981-2057 376 0.485 8.019 383.928 0.027 1.293 0.025 1.197 0.000 0.000 7.965 381.366 8798.077 421254.1879 0.489 0.487 0.491

75-78 1905-1981 375 0.393 9.462 453.055 0.025 1.197 0.024 1.149 0.000 0.000 9.409 450.505 8807.486 421704.6932 0.396 0.394 0.398

72-75 1829-1905 374 0.299 10.922 522.928 0.023 1.101 0.023 1.101 0.000 0.000 10.87 520.458 8818.356 422225.1516 0.302 0.300 0.304

* 67-72 1702-1829 373 0.311 17.886 856.378 0.034 1.628 0.038 1.819 0.414 19.814 17.4 833.116 8835.756 423058.2681 0.33 0.328 0.332

63-67 1600-1702 372 0.355 13.409 642.035 0.023 1.101 0.029 1.389 0.000 0.000 13.35 639.201 8849.106 423697.4695 0.357 0.355 0.35960-63 1524-1600 371 0.260 11.534 552.269 0.015 0.718 0.021 1.005 0.000 0.000 11.49 550.144 8860.596 424247.6137 0.262 0.261 0.263

57-60 1448-1524 370 0.227 12.038 576.389 0.013 0.622 0.021 1.005 0.000 0.000 12 574.563 8872.596 424822.1767 0.229 0.228 0.23053-57 1346-1448 369 0.166 17.335 830.020 0.013 0.622 0.027 1.293 0.000 0.000 17.29 827.850 8889.886 425650.0264 0.167 0.166 0.168

* 46-53 1168-1346 368 0.079 33.487 1603.347 0.012 0.575 0.038 1.819 1.267 60.645 32.17 1540.308 8922.056 427190.3342 0.115 0.114 0.116

43-46 1092-1168 367 0.062 14.614 699.724 0.000 0.000 0.000 0.000 0.000 0.000 14.61 699.531 8936.666 427889.8648 0.062 0.059 0.065

37-43 940-1092 366 0.059 29.337 1404.669 0.001 0.048 0.000 0.000 0.000 0.000 29.32 1403.849 8965.986 429293.7139 0.059 0.056 0.062

* 25-37 635-940 365 0.048 59.344 2841.415 0.001 0.048 0.000 0.000 0.203 9.728 59.14 2831.638 9025.126 432125.3523 0.051 0.048 0.054

13-25 330-635 364 0.043 59.651 2856.086 0.001 0.048 0.000 0.000 0.000 0.000 59.63 2855.100 9084.756 434980.4521 0.043 0.041 0.045

* 0-13 0-330 363 0.031 65.400 3131.350 0.002 0.096 0.000 0.000 -0.652 -31.237 66.05 3162.491 9150.806 438142.943 0.021 0.020 0.022

Results for RBHT Test 1659

Valid Time Period 4550 to 4660 seconds

Collapsed Liquid Level = 100.262 inches = 2546.65 mm

 (Zosv) Onset of Significant Void = 31 inches = 787.5 mm

Table A-237 Data Results for RBHT Test 1659 for Time Period 4550 to 4660 seconds
A-714

Table A-238 Energy Balance Results for RBHT Test 1659I for Time Period 4550 to 4660 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2331.6433 7.3553 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

0.25 6.35 2461.1791 7.764 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

0.50 12.70 2590.7148 8.1726 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

0.75 19.05 2720.2505 8.5812 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

1.00 25.40 2849.7863 8.9899 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

1.25 31.75 2979.322 9.3985 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

1.50 38.10 3108.8578 9.8071 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

1.75 44.45 3238.3935 10.216 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

2.00 50.80 3367.9292 10.624 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

2.25 57.15 3497.465 11.033 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

2.50 63.50 3627.0007 11.442 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

2.75 69.85 3756.5365 11.85 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

3.00 76.20 3886.0722 12.259 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

3.25 82.55 4015.6079 12.668 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

3.50 88.90 4145.1437 13.076 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

3.75 95.25 4274.6794 13.485 0.00E+00 0.00E+00 0.00E+00 5.22E-02 2.37E-02

4.00 101.60 4404.2152 13.893 3.00E-03 6.45E-02 2.93E-02 5.20E-02 2.36E-02

4.25 107.95 4533.7509 14.302 1.25E-02 2.69E-01 1.22E-01 5.15E-02 2.34E-02

4.50 114.30 4663.2866 14.711 2.23E-02 4.79E-01 2.17E-01 5.10E-02 2.31E-02

4.75 120.65 4792.8224 15.119 3.23E-02 6.96E-01 3.16E-01 5.05E-02 2.29E-02

5.00 127.00 4922.3581 15.528 4.26E-02 9.18E-01 4.16E-01 5.00E-02 2.27E-02

5.25 133.35 5051.8939 15.937 5.32E-02 1.15E+00 5.20E-01 4.94E-02 2.24E-02

5.50 139.70 5181.4296 16.345 6.41E-02 1.38E+00 6.26E-01 4.88E-02 2.22E-02

5.75 146.05 5310.9653 16.754 7.53E-02 1.62E+00 7.35E-01 4.83E-02 2.19E-02

6.00 152.40 5440.5011 17.162 8.67E-02 1.87E+00 8.47E-01 4.77E-02 2.16E-02

6.25 158.75 5570.0368 17.571 9.84E-02 2.12E+00 9.61E-01 4.70E-02 2.13E-02

6.50 165.10 5699.5726 17.98 1.10E-01 2.38E+00 1.08E+00 4.64E-02 2.11E-02

6.75 171.45 5829.1083 18.388 1.23E-01 2.64E+00 1.20E+00 4.58E-02 2.08E-02

7.00 177.80 5958.644 18.797 1.35E-01 2.91E+00 1.32E+00 4.51E-02 2.05E-02

7.25 184.15 6088.1798 19.206 1.48E-01 3.18E+00 1.44E+00 4.45E-02 2.02E-02

7.50 190.50 6217.7155 19.614 1.61E-01 3.47E+00 1.57E+00 4.38E-02 1.99E-02

7.75 196.85 6347.2513 20.023 1.74E-01 3.76E+00 1.70E+00 4.31E-02 1.95E-02

8.00 203.20 6476.787 20.431 1.88E-01 4.05E+00 1.84E+00 4.24E-02 1.92E-02

8.25 209.55 6606.3227 20.84 2.02E-01 4.35E+00 1.97E+00 4.16E-02 1.89E-02

8.50 215.90 6735.8585 21.249 2.16E-01 4.65E+00 2.11E+00 4.09E-02 1.86E-02

8.75 222.25 6865.3942 21.657 2.31E-01 4.96E+00 2.25E+00 4.02E-02 1.82E-02

9.00 228.60 6994.93 22.066 2.45E-01 5.28E+00 2.40E+00 3.94E-02 1.79E-02

9.25 234.95 6606.3227 20.84 2.60E-01 5.59E+00 2.54E+00 3.86E-02 1.75E-02

9.50 241.30 6217.7155 19.614 2.73E-01 5.89E+00 2.67E+00 3.79E-02 1.72E-02

9.75 247.65 5829.1083 18.388 2.86E-01 6.16E+00 2.79E+00 3.73E-02 1.69E-02

10.00 254.00 5440.5011 17.162 2.98E-01 6.42E+00 2.91E+00 3.66E-02 1.66E-02

10.25 260.35 5051.8939 15.937 3.09E-01 6.66E+00 3.02E+00 3.60E-02 1.64E-02

10.50 266.70 4663.2866 14.711 3.20E-01 6.88E+00 3.12E+00 3.55E-02 1.61E-02

10.75 273.05 4274.6794 13.485 3.29E-01 7.09E+00 3.21E+00 3.50E-02 1.59E-02

11.00 279.40 3886.0722 12.259 3.38E-01 7.27E+00 3.30E+00 3.46E-02 1.57E-02

11.25 285.75 3497.465 11.033 3.46E-01 7.44E+00 3.38E+00 3.41E-02 1.55E-02

11.50 292.10 3108.8578 9.8071 3.53E-01 7.59E+00 3.44E+00 3.38E-02 1.53E-02

11.75 298.45 2720.2505 8.5812 3.59E-01 7.73E+00 3.50E+00 3.35E-02 1.52E-02

12.00 304.80 2331.6433 7.3553 3.64E-01 7.84E+00 3.56E+00 3.32E-02 1.51E-02

Results for RBHT Test 1659

Valid Time Period 4550 to 4660 seconds
A-715

Figure A-595 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659I for Time Period 4550 to 4660 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-716

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-J 

Test Conditions

Date: 7/9/2003

Steady-state time window: 4980 – 5100 seconds

Inlet flow rate: 1.016 cm/sec (0.400 in./sec) 

Inlet mass flow rate: 0.048 kg/sec (0.105 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-717

Figure A-596 Inlet Flow Plot for Experiment 1659J 

Figure A-597 Inlet Temperature Plot for Experiment 1659J 
A-718

Figure A-598 System Pressure Plot for Experiment 1659J 

Figure A-599 Bundle Power Plot for Experiment 1659J 
A-719

Table A-239: Data Results for RBHT Test 1659 for Time Period 4980 to 5100 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.627 21.324 1020.990 0.151 7.230 0.032 1.532 0.000 0.000 21.13 1011.710 8661.13 414697.1303 0.63 0.627 0.633

* 120-133 3048-3378 383 0.634 24.720 1183.612 0.166 7.948 0.057 2.729 -0.863 -41.309 25.36 1214.243 8686.49 415911.3736 0.624 0.621 0.627

* 108-120 2743-3048 382 0.527 29.457 1410.388 0.137 6.560 0.071 3.399 5.129 245.557 24.12 1154.872 8710.61 417066.2454 0.613 0.610 0.616

100-108 2540-2743 381 0.604 16.452 787.748 0.080 3.830 0.052 2.490 0.000 0.000 16.32 781.406 8726.93 417847.6512 0.607 0.604 0.610

97-100 2464-2540 380 0.469 8.273 396.112 0.028 1.341 0.019 0.910 0.000 0.000 8.223 393.719 8735.153 418241.3706 0.472 0.470 0.474

93-97 2362-2464 379 0.502 10.356 495.824 0.035 1.676 0.024 1.149 0.000 0.000 10.29 492.688 8745.443 418734.0584 0.504 0.501 0.507

* 85-93 2159-2362 378 0.396 25.105 1202.013 0.064 3.064 0.047 2.250 5.934 284.100 19.06 912.598 8764.503 419646.6561 0.541 0.538 0.544

81-85 2057-2159 377 0.575 8.823 422.470 0.029 1.389 0.022 1.053 0.000 0.000 8.77 419.910 8773.273 420066.566 0.578 0.575 0.581

78-81 1981-2057 376 0.523 7.426 355.581 0.020 0.958 0.016 0.766 0.000 0.000 7.385 353.596 8780.658 420420.1617 0.526 0.523 0.529

75-78 1905-1981 375 0.456 8.470 405.561 0.019 0.910 0.016 0.766 0.000 0.000 8.432 403.726 8789.09 420823.888 0.459 0.457 0.461

72-75 1829-1905 374 0.371 9.800 469.218 0.018 0.862 0.016 0.766 0.000 0.000 9.762 467.407 8798.852 421291.2951 0.373 0.371 0.375

* 67-72 1702-1829 373 0.361 16.582 793.965 0.028 1.341 0.025 1.197 1.339 64.126 15.19 727.301 8814.042 422018.5962 0.415 0.413 0.417

63-67 1600-1702 372 0.454 11.337 542.820 0.020 0.958 0.019 0.910 0.000 0.000 11.29 540.568 8825.332 422559.1643 0.456 0.454 0.458

60-63 1524-1600 371 0.323 10.542 504.776 0.014 0.670 0.014 0.670 0.000 0.000 10.51 503.222 8835.842 423062.3858 0.325 0.323 0.327

57-60 1448-1524 370 0.309 10.771 515.717 0.012 0.575 0.014 0.670 0.000 0.000 10.74 514.234 8846.582 423576.6197 0.31 0.308 0.312

53-57 1346-1448 369 0.299 14.562 697.237 0.015 0.718 0.018 0.862 0.000 0.000 14.53 695.700 8861.112 424272.3199 0.301 0.299 0.303

* 46-53 1168-1346 368 0.215 28.537 1366.376 0.021 1.005 0.030 1.436 2.726 130.538 25.76 1233.395 8886.872 425505.7153 0.291 0.290 0.292

43-46 1092-1168 367 0.281 11.207 536.604 0.007 0.335 0.012 0.575 0.000 0.000 11.18 535.301 8898.052 426041.0166 0.282 0.281 0.283

37-43 940-1092 366 0.137 26.891 1287.551 0.009 0.431 0.023 1.101 0.000 0.000 26.85 1285.585 8924.902 427326.6015 0.138 0.137 0.139

* 25-37 635-940 365 0.060 58.591 2805.359 0.007 0.335 0.010 0.479 2.094 100.268 56.48 2704.277 8981.382 430030.8784 0.093 0.088 0.098

13-25 330-635 364 0.049 59.271 2837.933 0.001 0.048 0.000 0.000 0.000 0.000 59.25 2836.905 9040.632 432867.7836 0.049 0.047 0.051

* 0-13 0-330 363 0.033 65.285 3125.879 0.001 0.048 0.000 0.000 -0.556 -26.605 65.84 3152.436 9106.472 436020.2197 0.024 0.023 0.025

Results for RBHT Test 1659

Valid Time Period 4980 to 5100 seconds

Collapsed Liquid Level = 92.734 inches = 2355.43 mm

 (Zosv) Onset of Significant Void = 31 inches = 787.5 mm

Table A-239 Data Results for RBHT Test 1659 for Time Period 4980 to 5100 seconds
A-720

Table A-240 Energy Balance Results for RBHT Test 1659J for Time Period 4980 to 5100 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2331.2985 7.3542 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

0.25 6.35 2460.8151 7.7628 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

0.50 12.70 2590.3317 8.1714 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

0.75 19.05 2719.8483 8.58 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

1.00 25.40 2849.3649 8.9885 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

1.25 31.75 2978.8815 9.3971 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

1.50 38.10 3108.3981 9.8057 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

1.75 44.45 3237.9146 10.214 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

2.00 50.80 3367.4312 10.623 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

2.25 57.15 3496.9478 11.031 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

2.50 63.50 3626.4644 11.44 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

2.75 69.85 3755.981 11.849 0.00E+00 0.00E+00 0.00E+00 3.47E-02 1.58E-02

3.00 76.20 3885.4976 12.257 7.52E-03 1.08E-01 4.89E-02 3.45E-02 1.56E-02

3.25 82.55 4015.0142 12.666 2.01E-02 2.88E-01 1.31E-01 3.40E-02 1.54E-02

3.50 88.90 4144.5307 13.074 3.32E-02 4.75E-01 2.15E-01 3.36E-02 1.52E-02

3.75 95.25 4274.0473 13.483 4.66E-02 6.68E-01 3.03E-01 3.31E-02 1.50E-02

4.00 101.60 4403.5639 13.891 6.05E-02 8.66E-01 3.93E-01 3.26E-02 1.48E-02

4.25 107.95 4533.0805 14.3 7.47E-02 1.07E+00 4.86E-01 3.21E-02 1.46E-02

4.50 114.30 4662.5971 14.708 8.94E-02 1.28E+00 5.81E-01 3.16E-02 1.43E-02

4.75 120.65 4792.1137 15.117 1.05E-01 1.50E+00 6.79E-01 3.11E-02 1.41E-02

5.00 127.00 4921.6303 15.526 1.20E-01 1.72E+00 7.80E-01 3.06E-02 1.39E-02

5.25 133.35 5051.1468 15.934 1.36E-01 1.95E+00 8.83E-01 3.00E-02 1.36E-02

5.50 139.70 5180.6634 16.343 1.52E-01 2.18E+00 9.89E-01 2.94E-02 1.34E-02

5.75 146.05 5310.18 16.751 1.69E-01 2.42E+00 1.10E+00 2.89E-02 1.31E-02

6.00 152.40 5439.6966 17.16 1.86E-01 2.67E+00 1.21E+00 2.83E-02 1.28E-02

6.25 158.75 5569.2132 17.568 2.04E-01 2.92E+00 1.32E+00 2.77E-02 1.25E-02

6.50 165.10 5698.7298 17.977 2.22E-01 3.18E+00 1.44E+00 2.70E-02 1.23E-02

6.75 171.45 5828.2464 18.386 2.40E-01 3.44E+00 1.56E+00 2.64E-02 1.20E-02

7.00 177.80 5957.7629 18.794 2.59E-01 3.71E+00 1.68E+00 2.57E-02 1.17E-02

7.25 184.15 6087.2795 19.203 2.78E-01 3.99E+00 1.81E+00 2.51E-02 1.14E-02

7.50 190.50 6216.7961 19.611 2.98E-01 4.27E+00 1.94E+00 2.44E-02 1.11E-02

7.75 196.85 6346.3127 20.02 3.18E-01 4.55E+00 2.07E+00 2.37E-02 1.07E-02

8.00 203.20 6475.8293 20.428 3.38E-01 4.85E+00 2.20E+00 2.30E-02 1.04E-02

8.25 209.55 6605.3459 20.837 3.59E-01 5.15E+00 2.33E+00 2.23E-02 1.01E-02

8.50 215.90 6734.8625 21.246 3.81E-01 5.45E+00 2.47E+00 2.15E-02 9.76E-03

8.75 222.25 6864.379 21.654 4.02E-01 5.76E+00 2.61E+00 2.08E-02 9.42E-03

9.00 228.60 6993.8956 22.063 4.24E-01 6.08E+00 2.76E+00 2.00E-02 9.07E-03

9.25 234.95 6605.3459 20.837 4.46E-01 6.39E+00 2.90E+00 1.92E-02 8.73E-03

9.50 241.30 6216.7961 19.611 4.67E-01 6.68E+00 3.03E+00 1.85E-02 8.40E-03

9.75 247.65 5828.2464 18.386 4.86E-01 6.96E+00 3.16E+00 1.79E-02 8.10E-03

10.00 254.00 5439.6966 17.16 5.04E-01 7.22E+00 3.27E+00 1.72E-02 7.82E-03

10.25 260.35 5051.1468 15.934 5.21E-01 7.46E+00 3.38E+00 1.67E-02 7.55E-03

10.50 266.70 4662.5971 14.708 5.36E-01 7.68E+00 3.48E+00 1.61E-02 7.31E-03

10.75 273.05 4274.0473 13.483 5.50E-01 7.88E+00 3.58E+00 1.56E-02 7.08E-03

11.00 279.40 3885.4976 12.257 5.63E-01 8.07E+00 3.66E+00 1.52E-02 6.88E-03

11.25 285.75 3496.9478 11.031 5.75E-01 8.24E+00 3.74E+00 1.48E-02 6.69E-03

11.50 292.10 3108.3981 9.8057 5.86E-01 8.39E+00 3.81E+00 1.44E-02 6.53E-03

11.75 298.45 2719.8483 8.58 5.95E-01 8.52E+00 3.87E+00 1.41E-02 6.38E-03

12.00 304.80 2331.2985 7.3542 6.03E-01 8.64E+00 3.92E+00 1.38E-02 6.25E-03

Results for RBHT Test 1659

Valid Time Period 4980 to 5100 seconds
A-721

Figure A-600 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659J for Time Period 4980 to 5100 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-722

RBHT Two-Phase Mixture Level and Uncovery Test INT-1659-K 

Test Conditions

Date: 7/9/2003

Steady-state time window: 5310 – 6120 seconds

Inlet flow rate: 0.508 cm/sec (0.200 in./sec) 

Inlet mass flow rate: 0.024 kg/sec (0.052 lbm/sec) 

Inlet flow temperature: 361.7 K (191.3 oF)

Upper plenum pressure: 409.5 kPa (59.4 psia)

Bundle power: 72.28 kW 
A-723

Figure A-601 Inlet Flow Plot for Experiment 1659K 

Figure A-602 Inlet Temperature Plot for Experiment 1659K 
A-724

Figure A-603 System Pressure Plot for Experiment 1659K 

Figure A-604 Bundle Power Plot for Experiment 1659K 
A-725

Table A-241: Data Results for RBHT Test 1659 for Time Period 5310 to 6120 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.872 7.302 349.613 0.030 1.436 0.000 0.000 0.000 0.000 7.269 348.042 8647.269 414033.4621 0.873 0.869 0.877

* 120-133 3048-3378 383 0.837 11.010 527.155 0.036 1.724 0.000 0.000 -0.876 -41.950 11.85 567.381 8659.119 414600.8431 0.824 0.820 0.828

* 108-120 2743-3048 382 0.698 18.831 901.634 0.055 2.633 0.009 0.431 1.797 86.042 16.97 812.528 8676.089 415413.3711 0.728 0.724 0.732

100-108 2540-2743 381 0.678 13.388 641.040 0.039 1.867 0.026 1.245 0.000 0.000 13.32 637.765 8689.409 416051.1361 0.679 0.676 0.682

97-100 2464-2540 380 0.565 6.777 324.499 0.014 0.670 0.009 0.431 0.000 0.000 6.75 323.192 8696.159 416374.3278 0.567 0.564 0.570

93-97 2362-2464 379 0.576 8.808 421.724 0.018 0.862 0.012 0.575 0.000 0.000 8.776 420.197 8704.935 416794.525 0.577 0.574 0.580

* 85-93 2159-2362 378 0.432 23.619 1130.896 0.034 1.628 0.023 1.101 6.642 318.033 16.92 810.134 8721.855 417604.6589 0.593 0.590 0.596

81-85 2057-2159 377 0.607 8.174 391.388 0.015 0.718 0.011 0.527 0.000 0.000 8.142 389.841 8729.997 417994.5 0.608 0.605 0.611

78-81 1981-2057 376 0.544 7.099 339.915 0.011 0.527 0.008 0.383 0.000 0.000 7.076 338.801 8737.073 418333.3007 0.546 0.543 0.549

75-78 1905-1981 375 0.482 8.065 386.166 0.010 0.479 0.008 0.383 0.000 0.000 8.042 385.053 8745.115 418718.3537 0.484 0.482 0.486

72-75 1829-1905 374 0.423 8.995 430.676 0.010 0.479 0.008 0.383 0.000 0.000 8.973 429.630 8754.088 419147.9832 0.424 0.422 0.426

* 67-72 1702-1829 373 0.363 16.551 792.473 0.015 0.718 0.013 0.622 2.673 127.991 13.85 663.142 8767.938 419811.1248 0.467 0.465 0.469

63-67 1600-1702 372 0.508 10.215 489.110 0.011 0.527 0.010 0.479 0.000 0.000 10.19 487.900 8778.128 420299.0246 0.509 0.506 0.512

60-63 1524-1600 371 0.348 10.158 486.375 0.008 0.383 0.007 0.335 0.000 0.000 10.14 485.506 8788.268 420784.5304 0.349 0.347 0.351

57-60 1448-1524 370 0.336 10.340 495.078 0.007 0.335 0.007 0.335 0.000 0.000 10.32 494.124 8798.588 421278.6547 0.337 0.335 0.339

53-57 1346-1448 369 0.335 13.814 661.430 0.009 0.431 0.009 0.431 0.000 0.000 13.79 660.269 8812.378 421938.9234 0.336 0.334 0.338

* 46-53 1168-1346 368 0.252 27.203 1302.470 0.014 0.670 0.015 0.718 4.754 227.607 22.42 1073.475 8834.798 423012.3988 0.383 0.381 0.385

43-46 1092-1168 367 0.429 8.891 425.702 0.005 0.239 0.006 0.287 0.000 0.000 8.875 424.937 8843.673 423437.3361 0.43 0.428 0.432

37-43 940-1092 366 0.285 22.279 1066.743 0.009 0.431 0.012 0.575 0.000 0.000 22.25 1065.336 8865.923 424502.6718 0.286 0.285 0.287

* 25-37 635-940 365 0.209 49.316 2361.256 0.012 0.575 0.021 1.005 -1.237 -59.235 50.52 2418.911 8916.443 426921.5824 0.189 0.188 0.190

13-25 330-635 364 0.092 56.571 2708.631 0.005 0.239 0.009 0.431 0.000 0.000 56.54 2707.150 8972.983 429628.7321 0.092 0.087 0.097

* 0-13 0-330 363 0.038 64.932 3108.971 0.000 0.000 0.000 0.000 0.562 26.919 64.37 3082.052 9037.353 432710.7842 0.046 0.044 0.048

 (Z2φ) Two-Phase Level (Dryout) = 117.40 inches = 2981.96 mm

 (S) Level Swell = 1.722

Results for RBHT Test 1659

Valid Time Period 5310 to 6120 seconds

Collapsed Liquid Level = 76.188 inches = 1935.16 mm

 (Zosv) Onset of Significant Void = 19 inches = 482.5 mm

Table A-241 Data Results for RBHT Test 1659 for Time Period 5310 to 6120 seconds
A-726

Table A-242 Energy Balance Results for RBHT Test 1659K for Time Period 5310 to 6120 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2331.5891 7.3552 0.00E+00 0.00E+00 0.00E+00 1.73E-02 7.87E-03

0.25 6.35 2461.1218 7.7638 0.00E+00 0.00E+00 0.00E+00 1.73E-02 7.87E-03

0.50 12.70 2590.6546 8.1724 0.00E+00 0.00E+00 0.00E+00 1.73E-02 7.87E-03

0.75 19.05 2720.1873 8.581 0.00E+00 0.00E+00 0.00E+00 1.73E-02 7.87E-03

1.00 25.40 2849.72 8.9896 0.00E+00 0.00E+00 0.00E+00 1.73E-02 7.87E-03

1.25 31.75 2979.2528 9.3983 0.00E+00 0.00E+00 0.00E+00 1.73E-02 7.87E-03

1.50 38.10 3108.7855 9.8069 0.00E+00 0.00E+00 0.00E+00 1.73E-02 7.87E-03

1.75 44.45 3238.3182 10.216 1.31E-02 9.38E-02 4.26E-02 1.71E-02 7.77E-03

2.00 50.80 3367.8509 10.624 3.42E-02 2.45E-01 1.11E-01 1.68E-02 7.60E-03

2.25 57.15 3497.3837 11.033 5.62E-02 4.02E-01 1.82E-01 1.64E-02 7.43E-03

2.50 63.50 3626.9164 11.441 7.89E-02 5.65E-01 2.56E-01 1.60E-02 7.25E-03

2.75 69.85 3756.4491 11.85 1.03E-01 7.34E-01 3.33E-01 1.56E-02 7.06E-03

3.00 76.20 3885.9818 12.259 1.27E-01 9.09E-01 4.12E-01 1.51E-02 6.87E-03

3.25 82.55 4015.5146 12.667 1.52E-01 1.09E+00 4.95E-01 1.47E-02 6.67E-03

3.50 88.90 4145.0473 13.076 1.78E-01 1.28E+00 5.79E-01 1.43E-02 6.47E-03

3.75 95.25 4274.58 13.484 2.05E-01 1.47E+00 6.67E-01 1.38E-02 6.25E-03

4.00 101.60 4404.1128 13.893 2.33E-01 1.67E+00 7.57E-01 1.33E-02 6.04E-03

4.25 107.95 4533.6455 14.302 2.62E-01 1.87E+00 8.50E-01 1.28E-02 5.81E-03

4.50 114.30 4663.1782 14.71 2.91E-01 2.08E+00 9.45E-01 1.23E-02 5.58E-03

4.75 120.65 4792.7109 15.119 3.21E-01 2.30E+00 1.04E+00 1.18E-02 5.34E-03

5.00 127.00 4922.2437 15.528 3.52E-01 2.52E+00 1.14E+00 1.12E-02 5.10E-03

5.25 133.35 5051.7764 15.936 3.84E-01 2.75E+00 1.25E+00 1.07E-02 4.85E-03

5.50 139.70 5181.3091 16.345 4.17E-01 2.99E+00 1.35E+00 1.01E-02 4.59E-03

5.75 146.05 5310.8419 16.753 4.50E-01 3.23E+00 1.46E+00 9.54E-03 4.33E-03

6.00 152.40 5440.3746 17.162 4.85E-01 3.47E+00 1.57E+00 8.94E-03 4.06E-03

6.25 158.75 5569.9073 17.571 5.20E-01 3.72E+00 1.69E+00 8.33E-03 3.78E-03

6.50 165.10 5699.44 17.979 5.56E-01 3.98E+00 1.81E+00 7.71E-03 3.50E-03

6.75 171.45 5828.9728 18.388 5.93E-01 4.25E+00 1.93E+00 7.07E-03 3.21E-03

7.00 177.80 5958.5055 18.797 6.30E-01 4.52E+00 2.05E+00 6.41E-03 2.91E-03

7.25 184.15 6088.0382 19.205 6.69E-01 4.79E+00 2.17E+00 5.75E-03 2.61E-03

7.50 190.50 6217.571 19.614 7.08E-01 5.07E+00 2.30E+00 5.06E-03 2.30E-03

7.75 196.85 6347.1037 20.022 7.48E-01 5.36E+00 2.43E+00 4.37E-03 1.98E-03

8.00 203.20 6476.6364 20.431 7.89E-01 5.65E+00 2.56E+00 3.66E-03 1.66E-03

8.25 209.55 6606.1691 20.84 8.31E-01 5.95E+00 2.70E+00 2.93E-03 1.33E-03

8.50 215.90 6735.7019 21.248 8.74E-01 6.26E+00 2.84E+00 2.19E-03 9.94E-04

8.75 222.25 6865.2346 21.657 9.17E-01 6.57E+00 2.98E+00 1.44E-03 6.52E-04

9.00 228.60 6994.7673 22.065 9.61E-01 6.89E+00 3.12E+00 6.70E-04 3.04E-04

9.25 234.95 6606.1691 20.84 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

9.50 241.30 6217.571 19.614 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

9.75 247.65 5828.9728 18.388 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

10.00 254.00 5440.3746 17.162 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

10.25 260.35 5051.7764 15.936 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

10.50 266.70 4663.1782 14.71 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

10.75 273.05 4274.58 13.484 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

11.00 279.40 3885.9818 12.259 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

11.25 285.75 3497.3837 11.033 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

11.50 292.10 3108.7855 9.8069 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

11.75 298.45 2720.1873 8.581 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

12.00 304.80 2331.5891 7.3552 1.00E+00 7.16E+00 3.25E+00 0.00E+00 0.00E+00

Results for RBHT Test 1659

Valid Time Period 5310 to 6120 seconds
A-727

Figure A-605 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1659K for Time Period 5310 to 6120 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-728

RBHT Two-Phase Mixture Level and Uncovery Test INT-1678-A 

Test Conditions

Date: 7/21/2003

Steady-state time window: 2930 – 3000 seconds

Inlet flow rate: 3.094 cm/sec (1.218 in./sec) 

Inlet mass flow rate: 0.148 kg/sec (0.326 lbm/sec) 

Inlet flow temperature: 327.2 K (129.2 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 71.96 kW 
A-729

Figure A-606 Inlet Flow Plot for Experiment 1678A 

Figure A-607 Inlet Temperature Plot for Experiment 1678A 
A-730

Figure A-608 System Pressure Plot for Experiment 1678A 

Figure A-609 Bundle Power Plot for Experiment 1678A 
A-731

Table A-243: Data Results for RBHT Test 1678 for Time Period 2930 to 3000 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.542 26.164 1252.739 0.773 37.011 0.263 12.593 0.000 0.000 25.12 1202.752 2905.12 139097.8922 0.56 0.557 0.563

* 120-133 3048-3378 383 0.575 28.678 1373.089 0.826 39.549 0.469 22.456 -3.057 -146.391 30.44 1457.475 2935.56 140555.3672 0.549 0.546 0.552

* 108-120 2743-3048 382 0.463 33.450 1601.606 0.638 30.548 0.585 28.010 2.737 131.060 29.49 1411.989 2965.05 141967.356 0.527 0.524 0.530

100-108 2540-2743 381 0.497 20.898 1000.600 0.339 16.231 0.428 20.493 0.000 0.000 20.12 963.351 2985.17 142930.7068 0.516 0.513 0.519

97-100 2464-2540 380 0.365 9.893 473.693 0.107 5.123 0.155 7.421 0.000 0.000 9.628 460.991 2994.798 143391.6979 0.382 0.380 0.384

93-97 2362-2464 379 0.366 13.165 630.348 0.124 5.937 0.202 9.672 0.000 0.000 12.84 614.782 3007.638 144006.4804 0.382 0.380 0.384

* 85-93 2159-2362 378 0.196 33.393 1598.871 0.182 8.714 0.387 18.530 0.734 35.149 32.09 1536.477 3039.728 145542.9579 0.227 0.226 0.228

81-85 2057-2159 377 0.062 19.496 933.462 0.050 2.394 0.186 8.906 0.000 0.000 19.26 922.174 3058.988 146465.1316 0.073 0.069 0.077

78-81 1981-2057 376 -0.006 15.679 750.698 0.016 0.766 0.098 4.692 0.000 0.000 15.56 745.017 3074.548 147210.1484 0.001 0.001 0.001

75-78 1905-1981 375 0.044 14.900 713.400 0.001 0.048 0.000 0.000 0.000 0.000 14.89 712.937 3089.438 147923.0854 0.044 0.042 0.046

72-75 1829-1905 374 0.044 14.894 713.151 0.001 0.048 0.000 0.000 0.000 0.000 14.89 712.937 3104.328 148636.0225 0.044 0.042 0.046

* 67-72 1702-1829 373 0.026 25.286 1210.716 0.002 0.096 0.000 0.000 0.214 10.262 25.07 1200.358 3129.398 149836.3805 0.034 0.032 0.036

63-67 1600-1702 372 0.025 20.264 970.263 0.002 0.096 0.000 0.000 0.000 0.000 20.26 970.054 3149.658 150806.4345 0.025 0.024 0.02660-63 1524-1600 371 0.005 15.507 742.493 0.001 0.048 0.000 0.000 0.000 0.000 15.5 742.144 3165.158 151548.5785 0.005 0.005 0.005

57-60 1448-1524 370 0.038 14.988 717.627 0.001 0.048 0.000 0.000 0.000 0.000 14.98 717.246 3180.138 152265.8247 0.038 0.036 0.040

53-57 1346-1448 369 0.027 20.207 967.528 0.002 0.096 0.000 0.000 0.000 0.000 20.2 967.181 3200.338 153233.0059 0.027 0.026 0.028

* 46-53 1168-1346 368 0.026 35.393 1694.604 0.003 0.144 0.000 0.000 -0.190 -9.119 35.58 1703.580 3235.918 154936.5855 0.021 0.020 0.022

43-46 1092-1168 367 0.015 15.351 735.033 0.001 0.048 0.000 0.000 0.000 0.000 15.35 734.962 3251.268 155671.5474 0.015 0.014 0.016

37-43 940-1092 366 0.018 30.599 1465.093 0.003 0.144 0.000 0.000 0.000 0.000 30.59 1464.657 3281.858 157136.2045 0.018 0.017 0.019

* 25-37 635-940 365 0.012 61.551 2947.094 0.006 0.287 0.000 0.000 0.255 12.226 61.29 2934.581 3343.148 160070.7854 0.016 0.015 0.017

13-25 330-635 364 0.014 61.437 2941.624 0.006 0.287 0.000 0.000 0.000 0.000 61.41 2940.327 3404.558 163011.112 0.014 0.013 0.015

* 0-13 0-330 363 0.007 67.056 3210.672 0.006 0.287 0.000 0.000 0.040 1.928 67.01 3208.456 3471.568 166219.568 0.007 0.007 0.007

Results for RBHT Test 1678

Valid Time Period 2930 to 3000 seconds

Collapsed Liquid Level = 115.163 inches = 2925.15 mm

 (Zosv) Onset of Significant Void = 83 inches = 2108 mm

Table A-243 Data Results for RBHT Test 1678 for Time Period 2930 to 3000 seconds
A-732

Table A-244 Energy Balance Results for RBHT Test 1678A for Time Period 2930 to 3000 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2322.0053 7.3249 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

0.25 6.35 2451.0056 7.7319 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

0.50 12.70 2580.0058 8.1388 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

0.75 19.05 2709.0061 8.5458 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

1.00 25.40 2838.0064 8.9527 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

1.25 31.75 2967.0067 9.3596 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

1.50 38.10 3096.007 9.7666 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

1.75 44.45 3225.0073 10.174 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

2.00 50.80 3354.0076 10.58 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

2.25 57.15 3483.0079 10.987 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

2.50 63.50 3612.0082 11.394 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

2.75 69.85 3741.0085 11.801 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

3.00 76.20 3870.0088 12.208 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

3.25 82.55 3999.0091 12.615 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

3.50 88.90 4128.0093 13.022 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

3.75 95.25 4257.0096 13.429 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

4.00 101.60 4386.0099 13.836 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

4.25 107.95 4515.0102 14.243 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

4.50 114.30 4644.0105 14.65 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

4.75 120.65 4773.0108 15.057 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

5.00 127.00 4902.0111 15.464 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

5.25 133.35 5031.0114 15.871 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

5.50 139.70 5160.0117 16.278 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

5.75 146.05 5289.012 16.685 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

6.00 152.40 5418.0123 17.092 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

6.25 158.75 5547.0126 17.498 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

6.50 165.10 5676.0129 17.905 0.00E+00 0.00E+00 0.00E+00 1.05E-01 4.75E-02

6.75 171.45 5805.0131 18.312 4.05E-03 5.05E-01 2.29E-01 1.04E-01 4.73E-02

7.00 177.80 5934.0134 18.719 9.79E-03 1.22E+00 5.54E-01 1.04E-01 4.70E-02

7.25 184.15 6063.0137 19.126 1.57E-02 1.96E+00 8.87E-01 1.03E-01 4.67E-02

7.50 190.50 6192.014 19.533 2.17E-02 2.70E+00 1.23E+00 1.02E-01 4.64E-02

7.75 196.85 6321.0143 19.94 2.78E-02 3.47E+00 1.57E+00 1.02E-01 4.61E-02

8.00 203.20 6450.0146 20.347 3.40E-02 4.25E+00 1.93E+00 1.01E-01 4.58E-02

8.25 209.55 6579.0149 20.754 4.04E-02 5.04E+00 2.29E+00 1.00E-01 4.55E-02

8.50 215.90 6708.0152 21.161 4.69E-02 5.86E+00 2.66E+00 9.97E-02 4.52E-02

8.75 222.25 6837.0155 21.568 5.35E-02 6.68E+00 3.03E+00 9.90E-02 4.49E-02

9.00 228.60 6966.0158 21.975 6.03E-02 7.53E+00 3.41E+00 9.83E-02 4.46E-02

9.25 234.95 6579.0149 20.754 6.69E-02 8.35E+00 3.79E+00 9.76E-02 4.43E-02

9.50 241.30 6192.014 19.533 7.32E-02 9.13E+00 4.14E+00 9.70E-02 4.40E-02

9.75 247.65 5805.0131 18.312 7.90E-02 9.87E+00 4.48E+00 9.64E-02 4.37E-02

10.00 254.00 5418.0123 17.092 8.45E-02 1.06E+01 4.79E+00 9.58E-02 4.34E-02

10.25 260.35 5031.0114 15.871 8.96E-02 1.12E+01 5.08E+00 9.53E-02 4.32E-02

10.50 266.70 4644.0105 14.65 9.44E-02 1.18E+01 5.34E+00 9.48E-02 4.30E-02

10.75 273.05 4257.0096 13.429 9.87E-02 1.23E+01 5.59E+00 9.43E-02 4.28E-02

11.00 279.40 3870.0088 12.208 1.03E-01 1.28E+01 5.82E+00 9.39E-02 4.26E-02

11.25 285.75 3483.0079 10.987 1.06E-01 1.33E+01 6.02E+00 9.35E-02 4.24E-02

11.50 292.10 3096.007 9.7666 1.10E-01 1.37E+01 6.20E+00 9.32E-02 4.23E-02

11.75 298.45 2709.0061 8.5458 1.12E-01 1.40E+01 6.36E+00 9.29E-02 4.21E-02

12.00 304.80 2322.0053 7.3249 1.15E-01 1.43E+01 6.50E+00 9.26E-02 4.20E-02

Results for RBHT Test 1678

Valid Time Period 2930 to 3000 seconds
A-733

Figure A-610 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1678A for Time Period 2930 to 3000 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-734

RBHT Two-Phase Mixture Level and Uncovery Test INT-1678-B 

Test Conditions

Date: 7/21/2003

Steady-state time window: 3150 – 3200 seconds

Inlet flow rate: 3.038 cm/sec (1.196 in./sec) 

Inlet mass flow rate: 0.145 kg/sec (0.320 lbm/sec) 

Inlet flow temperature: 327.2 K (129.2 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 71.96 kW 
A-735

Figure A-611 Inlet Flow Plot for Experiment 1678B 

Figure A-612 Inlet Temperature Plot for Experiment 1678B 
A-736

Figure A-613 System Pressure Plot for Experiment 1678B 

Figure A-614 Bundle Power Plot for Experiment 1678B 
A-737

Table A-245: Data Results for RBHT Test 1678 for Time Period 3150 to 3200 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.543 26.086 1249.009 0.763 36.533 0.257 12.305 0.000 0.000 25.06 1199.879 2905.06 139095.0194 0.561 0.558 0.564

* 120-133 3048-3378 383 0.577 28.527 1365.878 0.816 39.070 0.459 21.977 -3.158 -151.208 30.41 1456.039 2935.47 140551.058 0.549 0.546 0.552

* 108-120 2743-3048 382 0.463 33.492 1603.595 0.633 30.308 0.573 27.435 2.736 130.990 29.55 1414.862 2965.02 141965.9196 0.526 0.523 0.529

100-108 2540-2743 381 0.496 20.960 1003.584 0.338 16.184 0.419 20.062 0.000 0.000 20.2 967.181 2985.22 142933.1008 0.514 0.511 0.517

97-100 2464-2540 380 0.365 9.898 473.942 0.107 5.123 0.152 7.278 0.000 0.000 9.635 461.326 2994.855 143394.4271 0.381 0.379 0.383

93-97 2362-2464 379 0.366 13.175 630.845 0.125 5.985 0.198 9.480 0.000 0.000 12.85 615.261 3007.705 144009.6884 0.381 0.379 0.383

* 85-93 2159-2362 378 0.197 33.378 1598.125 0.187 8.954 0.379 18.147 0.702 33.590 32.11 1537.435 3039.815 145547.1234 0.227 0.226 0.228

81-85 2057-2159 377 0.061 19.511 934.208 0.056 2.681 0.182 8.714 0.000 0.000 19.27 922.653 3059.085 146469.776 0.072 0.068 0.076

78-81 1981-2057 376 -0.006 15.679 750.698 0.020 0.958 0.133 6.368 0.000 0.000 15.52 743.102 3074.605 147212.8776 0.003 0.003 0.003

75-78 1905-1981 375 0.044 14.894 713.151 0.003 0.144 0.004 0.192 0.000 0.000 14.88 712.458 3089.485 147925.3358 0.045 0.043 0.047

72-75 1829-1905 374 0.044 14.894 713.151 0.001 0.048 0.000 0.000 0.000 0.000 14.89 712.937 3104.375 148638.2728 0.044 0.042 0.046

* 67-72 1702-1829 373 0.026 25.286 1210.716 0.002 0.096 0.000 0.000 0.214 10.262 25.07 1200.358 3129.445 149838.6309 0.034 0.032 0.036

63-67 1600-1702 372 0.025 20.264 970.263 0.002 0.096 0.000 0.000 0.000 0.000 20.26 970.054 3149.705 150808.6849 0.025 0.024 0.02660-63 1524-1600 371 0.005 15.502 742.244 0.001 0.048 0.000 0.000 0.000 0.000 15.5 742.144 3165.205 151550.8289 0.005 0.005 0.005

57-60 1448-1524 370 0.038 14.988 717.627 0.001 0.048 0.000 0.000 0.000 0.000 14.98 717.246 3180.185 152268.0751 0.038 0.036 0.040

53-57 1346-1448 369 0.027 20.207 967.528 0.002 0.096 0.000 0.000 0.000 0.000 20.2 967.181 3200.385 153235.2563 0.027 0.026 0.028

* 46-53 1168-1346 368 0.026 35.393 1694.604 0.003 0.144 0.000 0.000 -0.190 -9.119 35.58 1703.580 3235.965 154938.8358 0.021 0.020 0.022

43-46 1092-1168 367 0.015 15.351 735.033 0.001 0.048 0.000 0.000 0.000 0.000 15.34 734.483 3251.305 155673.319 0.015 0.014 0.016

37-43 940-1092 366 0.018 30.609 1465.590 0.003 0.144 0.000 0.000 0.000 0.000 30.6 1465.136 3281.905 157138.4548 0.018 0.017 0.019

* 25-37 635-940 365 0.013 61.536 2946.348 0.006 0.287 0.000 0.000 0.230 11.001 61.3 2935.060 3343.205 160073.5146 0.016 0.015 0.017

13-25 330-635 364 0.014 61.437 2941.624 0.006 0.287 0.000 0.000 0.000 0.000 61.41 2940.327 3404.615 163013.8412 0.014 0.013 0.015

* 0-13 0-330 363 0.007 67.051 3210.423 0.006 0.287 0.000 0.000 0.035 1.680 67.01 3208.456 3471.625 166222.2972 0.007 0.007 0.007

Results for RBHT Test 1678

Valid Time Period 3150 to 3200 seconds

Collapsed Liquid Level = 114.885 inches = 2918.08 mm

 (Zosv) Onset of Significant Void = 83 inches = 2108 mm

Table A-245 Data Results for RBHT Test 1678 for Time Period 3150 to 3200 seconds
A-738

Table A-246 Energy Balance Results for RBHT Test 1678B for Time Period 3150 to 3200 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2321.8417 7.3244 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

0.25 6.35 2450.8329 7.7313 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

0.50 12.70 2579.8241 8.1382 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

0.75 19.05 2708.8153 8.5452 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

1.00 25.40 2837.8065 8.9521 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

1.25 31.75 2966.7977 9.359 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

1.50 38.10 3095.7889 9.7659 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

1.75 44.45 3224.7801 10.173 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

2.00 50.80 3353.7713 10.58 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

2.25 57.15 3482.7625 10.987 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

2.50 63.50 3611.7537 11.394 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

2.75 69.85 3740.745 11.8 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

3.00 76.20 3869.7362 12.207 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

3.25 82.55 3998.7274 12.614 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

3.50 88.90 4127.7186 13.021 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

3.75 95.25 4256.7098 13.428 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

4.00 101.60 4385.701 13.835 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

4.25 107.95 4514.6922 14.242 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

4.50 114.30 4643.6834 14.649 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

4.75 120.65 4772.6746 15.056 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

5.00 127.00 4901.6658 15.463 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

5.25 133.35 5030.657 15.87 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

5.50 139.70 5159.6482 16.276 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

5.75 146.05 5288.6394 16.683 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

6.00 152.40 5417.6306 17.09 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

6.25 158.75 5546.6218 17.497 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.66E-02

6.50 165.10 5675.613 17.904 1.60E-04 1.95E-02 8.85E-03 1.03E-01 4.66E-02

6.75 171.45 5804.6042 18.311 5.89E-03 7.19E-01 3.26E-01 1.02E-01 4.63E-02

7.00 177.80 5933.5954 18.718 1.17E-02 1.43E+00 6.51E-01 1.01E-01 4.60E-02

7.25 184.15 6062.5866 19.125 1.77E-02 2.17E+00 9.82E-01 1.01E-01 4.57E-02

7.50 190.50 6191.5779 19.532 2.38E-02 2.91E+00 1.32E+00 1.00E-01 4.55E-02

7.75 196.85 6320.5691 19.939 3.01E-02 3.67E+00 1.67E+00 9.96E-02 4.52E-02

8.00 203.20 6449.5603 20.346 3.64E-02 4.45E+00 2.02E+00 9.89E-02 4.49E-02

8.25 209.55 6578.5515 20.753 4.29E-02 5.25E+00 2.38E+00 9.83E-02 4.46E-02

8.50 215.90 6707.5427 21.159 4.96E-02 6.06E+00 2.75E+00 9.76E-02 4.43E-02

8.75 222.25 6836.5339 21.566 5.63E-02 6.88E+00 3.12E+00 9.69E-02 4.40E-02

9.00 228.60 6965.5251 21.973 6.32E-02 7.72E+00 3.50E+00 9.62E-02 4.36E-02

9.25 234.95 6578.5515 20.753 7.00E-02 8.55E+00 3.88E+00 9.55E-02 4.33E-02

9.50 241.30 6191.5779 19.532 7.63E-02 9.33E+00 4.23E+00 9.48E-02 4.30E-02

9.75 247.65 5804.6042 18.311 8.23E-02 1.01E+01 4.56E+00 9.42E-02 4.27E-02

10.00 254.00 5417.6306 17.09 8.79E-02 1.07E+01 4.87E+00 9.37E-02 4.25E-02

10.25 260.35 5030.657 15.87 9.31E-02 1.14E+01 5.16E+00 9.31E-02 4.22E-02

10.50 266.70 4643.6834 14.649 9.79E-02 1.20E+01 5.43E+00 9.26E-02 4.20E-02

10.75 273.05 4256.7098 13.428 1.02E-01 1.25E+01 5.68E+00 9.22E-02 4.18E-02

11.00 279.40 3869.7362 12.207 1.06E-01 1.30E+01 5.90E+00 9.18E-02 4.16E-02

11.25 285.75 3482.7625 10.987 1.10E-01 1.35E+01 6.10E+00 9.14E-02 4.14E-02

11.50 292.10 3095.7889 9.7659 1.13E-01 1.39E+01 6.29E+00 9.10E-02 4.13E-02

11.75 298.45 2708.8153 8.5452 1.16E-01 1.42E+01 6.45E+00 9.07E-02 4.12E-02

12.00 304.80 2321.8417 7.3244 1.19E-01 1.45E+01 6.58E+00 9.05E-02 4.10E-02

Results for RBHT Test 1678

Valid Time Period 3150 to 3200 seconds
A-739

Figure A-615 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1678B for Time Period 3150 to 3200 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-740

RBHT Two-Phase Mixture Level and Uncovery Test INT-1678-C 

Test Conditions

Date: 7/21/2003

Steady-state time window: 3480 – 3550 seconds

Inlet flow rate: 3.043 cm/sec (1.198 in./sec) 

Inlet mass flow rate: 0.145 kg/sec (0.320 lbm/sec) 

Inlet flow temperature: 327.2 K (129.2 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 71.96 kW 
A-741

Figure A-616 Inlet Flow Plot for Experiment 1678C 

Figure A-617 Inlet Temperature Plot for Experiment 1678C 
A-742

Figure A-618 System Pressure Plot for Experiment 1678C 

Figure A-619 Bundle Power Plot for Experiment 1678C 
A-743

Table A-247: Data Results for RBHT Test 1678 for Time Period 3480 to 3550 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.540 26.263 1257.463 0.767 36.724 0.258 12.353 0.000 0.000 25.23 1208.019 2905.23 139103.159 0.558 0.555 0.561

* 120-133 3048-3378 383 0.579 28.433 1361.402 0.819 39.214 0.461 22.073 -3.357 -160.711 30.51 1460.827 2935.74 140563.9857 0.548 0.545 0.551

* 108-120 2743-3048 382 0.462 33.502 1604.093 0.635 30.404 0.575 27.531 2.852 136.563 29.44 1409.595 2965.18 141973.5805 0.527 0.524 0.530

100-108 2540-2743 381 0.499 20.820 996.870 0.339 16.231 0.421 20.158 0.000 0.000 20.05 959.999 2985.23 142933.5796 0.517 0.514 0.520

97-100 2464-2540 380 0.365 9.893 473.693 0.107 5.123 0.152 7.278 0.000 0.000 9.63 461.087 2994.86 143394.6665 0.382 0.380 0.384

93-97 2362-2464 379 0.367 13.150 629.602 0.126 6.033 0.198 9.480 0.000 0.000 12.82 613.825 3007.68 144008.4914 0.383 0.381 0.385

* 85-93 2159-2362 378 0.200 33.248 1591.908 0.188 9.001 0.381 18.242 0.609 29.145 32.07 1535.520 3039.75 145544.0112 0.228 0.227 0.229

81-85 2057-2159 377 0.062 19.491 933.213 0.056 2.681 0.182 8.714 0.000 0.000 19.25 921.695 3059 146465.7062 0.073 0.069 0.077

78-81 1981-2057 376 -0.006 15.679 750.698 0.020 0.958 0.133 6.368 0.000 0.000 15.52 743.102 3074.52 147208.8078 0.004 0.004 0.004

75-78 1905-1981 375 0.043 14.905 713.648 0.002 0.096 0.003 0.144 0.000 0.000 14.89 712.937 3089.41 147921.7448 0.044 0.042 0.046

72-75 1829-1905 374 0.044 14.894 713.151 0.001 0.048 0.000 0.000 0.000 0.000 14.89 712.937 3104.3 148634.6818 0.044 0.042 0.046

* 67-72 1702-1829 373 0.026 25.286 1210.716 0.002 0.096 0.000 0.000 0.214 10.262 25.07 1200.358 3129.37 149835.0398 0.034 0.032 0.036

63-67 1600-1702 372 0.025 20.264 970.263 0.002 0.096 0.000 0.000 0.000 0.000 20.25 969.575 3149.62 150804.6151 0.025 0.024 0.026

60-63 1524-1600 371 0.003 15.528 743.487 0.001 0.048 0.000 0.000 0.000 0.000 15.52 743.102 3165.14 151547.7166 0.003 0.003 0.003

57-60 1448-1524 370 0.038 14.993 717.876 0.001 0.048 0.000 0.000 0.000 0.000 14.98 717.246 3180.12 152264.9629 0.038 0.036 0.040

53-57 1346-1448 369 0.027 20.212 967.777 0.002 0.096 0.000 0.000 0.000 0.000 20.2 967.181 3200.32 153232.1441 0.027 0.026 0.028

* 46-53 1168-1346 368 0.026 35.398 1694.853 0.003 0.144 0.000 0.000 -0.185 -8.870 35.58 1703.580 3235.9 154935.7236 0.021 0.020 0.022

43-46 1092-1168 367 0.015 15.351 735.033 0.001 0.048 0.000 0.000 0.000 0.000 15.34 734.483 3251.24 155670.2068 0.015 0.014 0.016

37-43 940-1092 366 0.019 30.573 1463.849 0.003 0.144 0.000 0.000 0.000 0.000 30.56 1463.221 3281.8 157133.4274 0.019 0.018 0.020

* 25-37 635-940 365 0.013 61.541 2946.597 0.006 0.287 0.000 0.000 0.265 12.686 61.27 2933.623 3343.07 160067.0508 0.017 0.016 0.018

13-25 330-635 364 0.014 61.442 2941.873 0.006 0.287 0.000 0.000 0.000 0.000 61.42 2940.805 3404.49 163007.8562 0.014 0.013 0.015

* 0-13 0-330 363 0.007 67.056 3210.672 0.006 0.287 0.000 0.000 0.040 1.928 67.01 3208.456 3471.5 166216.3122 0.007 0.007 0.007

Results for RBHT Test 1678

Valid Time Period 3480 to 3550 seconds

Collapsed Liquid Level = 114.749 inches = 2914.62 mm

 (Zosv) Onset of Significant Void = 83 inches = 2108 mm

Table A-247 Data Results for RBHT Test 1678 for Time Period 3480 to 3550 seconds
A-744

Table A-248 Energy Balance Results for RBHT Test 1678C for Time Period 3480 to 3550 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2322.6919 7.3271 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

0.25 6.35 2451.7303 7.7342 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

0.50 12.70 2580.7688 8.1412 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

0.75 19.05 2709.8072 8.5483 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

1.00 25.40 2838.8457 8.9553 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

1.25 31.75 2967.8841 9.3624 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

1.50 38.10 3096.9225 9.7695 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

1.75 44.45 3225.961 10.177 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

2.00 50.80 3354.9994 10.584 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

2.25 57.15 3484.0379 10.991 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

2.50 63.50 3613.0763 11.398 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

2.75 69.85 3742.1147 11.805 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

3.00 76.20 3871.1532 12.212 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

3.25 82.55 4000.1916 12.619 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

3.50 88.90 4129.2301 13.026 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

3.75 95.25 4258.2685 13.433 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

4.00 101.60 4387.3069 13.84 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

4.25 107.95 4516.3454 14.247 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

4.50 114.30 4645.3838 14.654 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

4.75 120.65 4774.4223 15.061 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

5.00 127.00 4903.4607 15.468 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

5.25 133.35 5032.4991 15.875 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

5.50 139.70 5161.5376 16.282 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

5.75 146.05 5290.576 16.689 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

6.00 152.40 5419.6145 17.097 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

6.25 158.75 5548.6529 17.504 0.00E+00 0.00E+00 0.00E+00 1.03E-01 4.67E-02

6.50 165.10 5677.6913 17.911 1.27E-04 1.56E-02 7.09E-03 1.03E-01 4.67E-02

6.75 171.45 5806.7298 18.318 5.84E-03 7.17E-01 3.25E-01 1.02E-01 4.64E-02

7.00 177.80 5935.7682 18.725 1.17E-02 1.43E+00 6.50E-01 1.02E-01 4.61E-02

7.25 184.15 6064.8066 19.132 1.77E-02 2.17E+00 9.82E-01 1.01E-01 4.59E-02

7.50 190.50 6193.8451 19.539 2.38E-02 2.91E+00 1.32E+00 1.00E-01 4.56E-02

7.75 196.85 6322.8835 19.946 3.00E-02 3.68E+00 1.67E+00 9.98E-02 4.53E-02

8.00 203.20 6451.922 20.353 3.63E-02 4.46E+00 2.02E+00 9.92E-02 4.50E-02

8.25 209.55 6580.9604 20.76 4.28E-02 5.25E+00 2.38E+00 9.85E-02 4.47E-02

8.50 215.90 6709.9988 21.167 4.94E-02 6.07E+00 2.75E+00 9.78E-02 4.44E-02

8.75 222.25 6839.0373 21.574 5.62E-02 6.89E+00 3.13E+00 9.71E-02 4.41E-02

9.00 228.60 6968.0757 21.981 6.31E-02 7.74E+00 3.51E+00 9.64E-02 4.37E-02

9.25 234.95 6580.9604 20.76 6.98E-02 8.56E+00 3.88E+00 9.57E-02 4.34E-02

9.50 241.30 6193.8451 19.539 7.61E-02 9.34E+00 4.24E+00 9.51E-02 4.31E-02

9.75 247.65 5806.7298 18.318 8.21E-02 1.01E+01 4.57E+00 9.45E-02 4.28E-02

10.00 254.00 5419.6145 17.097 8.77E-02 1.08E+01 4.88E+00 9.39E-02 4.26E-02

10.25 260.35 5032.4991 15.875 9.29E-02 1.14E+01 5.17E+00 9.33E-02 4.23E-02

10.50 266.70 4645.3838 14.654 9.77E-02 1.20E+01 5.44E+00 9.28E-02 4.21E-02

10.75 273.05 4258.2685 13.433 1.02E-01 1.25E+01 5.68E+00 9.24E-02 4.19E-02

11.00 279.40 3871.1532 12.212 1.06E-01 1.30E+01 5.91E+00 9.20E-02 4.17E-02

11.25 285.75 3484.0379 10.991 1.10E-01 1.35E+01 6.12E+00 9.16E-02 4.15E-02

11.50 292.10 3096.9225 9.7695 1.13E-01 1.39E+01 6.29E+00 9.13E-02 4.14E-02

11.75 298.45 2709.8072 8.5483 1.16E-01 1.42E+01 6.46E+00 9.10E-02 4.13E-02

12.00 304.80 2322.6919 7.3271 1.19E-01 1.45E+01 6.60E+00 9.07E-02 4.11E-02

Results for RBHT Test 1678

Valid Time Period 3480 to 3550 seconds
A-745

Figure A-620 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1678C for Time Period 3480 to 3550 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-746

RBHT Two-Phase Mixture Level and Uncovery Test INT-1678-D 

Test Conditions

Date: 7/21/2003

Steady-state time window: 2340 – 2410 seconds

Inlet flow rate: 2.540 cm/sec (1.000 in./sec) 

Inlet mass flow rate: 0.121 kg/sec (0.267 lbm/sec) 

Inlet flow temperature: 327.2 K (129.2 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 71.96 kW 
A-747

Figure A-621 Inlet Flow Plot for Experiment 1678D 

Figure A-622 Inlet Temperature Plot for Experiment 1678D 
A-748

Figure A-623 System Pressure Plot for Experiment 1678D 

Figure A-624 Bundle Power Plot for Experiment 1678D 
A-749

Table A-249: Data Results for RBHT Test 1678 for Time Period 2340 to 2410 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.607 22.456 1075.197 0.686 32.846 0.215 10.294 0.000 0.000 21.55 1031.820 2901.55 138926.9597 0.623 0.620 0.626

* 120-133 3048-3378 383 0.616 25.899 1240.057 0.742 35.527 0.384 18.386 -1.207 -57.785 25.98 1243.929 2927.53 140170.8888 0.615 0.612 0.618

* 108-120 2743-3048 382 0.509 30.620 1466.087 0.590 28.249 0.480 22.983 4.610 220.722 24.94 1194.134 2952.47 141365.0224 0.6 0.597 0.603

100-108 2540-2743 381 0.576 17.626 843.945 0.329 15.753 0.351 16.806 0.000 0.000 16.94 811.092 2969.41 142176.1139 0.592 0.589 0.595

97-100 2464-2540 380 0.434 8.813 421.973 0.109 5.219 0.127 6.081 0.000 0.000 8.573 410.477 2977.983 142586.5914 0.45 0.448 0.452

93-97 2362-2464 379 0.438 11.669 558.734 0.132 6.320 0.166 7.948 0.000 0.000 11.37 544.399 2989.353 143130.9899 0.453 0.451 0.455

* 85-93 2159-2362 378 0.318 28.330 1356.429 0.221 10.582 0.318 15.226 4.201 201.127 23.59 1129.495 3012.943 144260.4852 0.432 0.430 0.434

81-85 2057-2159 377 0.400 12.469 597.028 0.086 4.118 0.152 7.278 0.000 0.000 12.23 585.576 3025.173 144846.0607 0.411 0.409 0.41378-81 1981-2057 376 0.187 12.667 606.477 0.054 2.586 0.111 5.315 0.000 0.000 12.49 598.024 3037.663 145444.0851 0.198 0.197 0.19975-78 1905-1981 375 0.132 13.523 647.505 0.043 2.059 0.109 5.219 0.000 0.000 13.37 640.159 3051.033 146084.2442 0.142 0.141 0.14372-75 1829-1905 374 0.057 14.692 703.453 0.032 1.532 0.106 5.075 0.000 0.000 14.55 696.658 3065.583 146780.9019 0.066 0.063 0.069

* 67-72 1702-1829 373 0.034 25.089 1201.267 0.027 1.293 0.120 5.746 0.242 11.586 24.7 1182.642 3090.283 147963.5442 0.048 0.046 0.050

63-67 1600-1702 372 0.031 20.135 964.047 0.001 0.048 0.000 0.000 0.000 0.000 20.12 963.351 3110.403 148926.895 0.031 0.029 0.03360-63 1524-1600 371 0.010 15.429 738.763 0.001 0.048 0.000 0.000 0.000 0.000 15.42 738.314 3125.823 149665.2086 0.01 0.010 0.01157-60 1448-1524 370 0.043 14.905 713.648 0.001 0.048 0.000 0.000 0.000 0.000 14.9 713.416 3140.723 150378.6244 0.044 0.042 0.04653-57 1346-1448 369 0.032 20.114 963.052 0.001 0.048 0.000 0.000 0.000 0.000 20.11 962.872 3160.833 151341.4964 0.032 0.030 0.034

* 46-53 1168-1346 368 0.031 35.242 1687.393 0.002 0.096 0.000 0.000 -0.180 -8.621 35.42 1695.919 3196.253 153037.4151 0.025 0.024 0.026

43-46 1092-1168 367 0.019 15.284 731.800 0.001 0.048 0.000 0.000 0.000 0.000 15.28 731.610 3211.533 153769.0254 0.019 0.018 0.02037-43 940-1092 366 0.021 30.506 1460.617 0.002 0.096 0.000 0.000 0.000 0.000 30.5 1460.348 3242.033 155229.3732 0.021 0.020 0.022

* 25-37 635-940 365 0.015 61.380 2938.889 0.004 0.192 0.000 0.000 0.216 10.341 61.16 2928.357 3303.193 158157.7298 0.018 0.017 0.019

13-25 330-635 364 0.016 61.349 2937.397 0.004 0.192 0.000 0.000 0.000 0.000 61.32 2936.017 3364.513 161093.7471 0.016 0.015 0.017

* 0-13 0-330 363 0.008 66.984 3207.191 0.004 0.192 0.000 0.000 0.020 0.937 66.96 3206.062 3431.473 164299.8091 0.008 0.008 0.008

Results for RBHT Test 1678

Valid Time Period 2340 to 2410 seconds

Collapsed Liquid Level = 108.606 inches = 2758.58 mm

 (Zosv) Onset of Significant Void = 73.5 inches = 1867 mm

Table A-249 Data Results for RBHT Test 1678 for Time Period 2340 to 2410 seconds
A-750

Table A-250 Energy Balance Results for RBHT Test 1678D for Time Period 2340 to 2410 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2321.4746 7.3233 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

0.25 6.35 2450.4454 7.7301 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

0.50 12.70 2579.4162 8.137 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

0.75 19.05 2708.3871 8.5438 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

1.00 25.40 2837.3579 8.9506 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

1.25 31.75 2966.3287 9.3575 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

1.50 38.10 3095.2995 9.7643 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

1.75 44.45 3224.2703 10.171 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

2.00 50.80 3353.2411 10.578 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

2.25 57.15 3482.2119 10.985 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

2.50 63.50 3611.1827 11.392 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

2.75 69.85 3740.1536 11.799 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

3.00 76.20 3869.1244 12.205 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

3.25 82.55 3998.0952 12.612 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

3.50 88.90 4127.066 13.019 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

3.75 95.25 4256.0368 13.426 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

4.00 101.60 4385.0076 13.833 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

4.25 107.95 4513.9784 14.24 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

4.50 114.30 4642.9492 14.647 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

4.75 120.65 4771.9201 15.053 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

5.00 127.00 4900.8909 15.46 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

5.25 133.35 5029.8617 15.867 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

5.50 139.70 5158.8325 16.274 0.00E+00 0.00E+00 0.00E+00 8.59E-02 3.90E-02

5.75 146.05 5287.8033 16.681 1.02E-03 1.04E-01 4.72E-02 8.58E-02 3.89E-02

6.00 152.40 5416.7741 17.088 7.40E-03 7.58E-01 3.44E-01 8.52E-02 3.87E-02

6.25 158.75 5545.7449 17.494 1.39E-02 1.43E+00 6.47E-01 8.47E-02 3.84E-02

6.50 165.10 5674.7157 17.901 2.06E-02 2.11E+00 9.58E-01 8.41E-02 3.81E-02

6.75 171.45 5803.6866 18.308 2.75E-02 2.81E+00 1.28E+00 8.35E-02 3.79E-02

7.00 177.80 5932.6574 18.715 3.45E-02 3.53E+00 1.60E+00 8.29E-02 3.76E-02

7.25 184.15 6061.6282 19.122 4.16E-02 4.26E+00 1.93E+00 8.23E-02 3.73E-02

7.50 190.50 6190.599 19.529 4.89E-02 5.01E+00 2.27E+00 8.17E-02 3.70E-02

7.75 196.85 6319.5698 19.936 5.64E-02 5.77E+00 2.62E+00 8.10E-02 3.68E-02

8.00 203.20 6448.5406 20.342 6.40E-02 6.55E+00 2.97E+00 8.04E-02 3.65E-02

8.25 209.55 6577.5114 20.749 7.18E-02 7.35E+00 3.33E+00 7.97E-02 3.62E-02

8.50 215.90 6706.4822 21.156 7.97E-02 8.16E+00 3.70E+00 7.90E-02 3.58E-02

8.75 222.25 6835.4531 21.563 8.78E-02 8.99E+00 4.08E+00 7.83E-02 3.55E-02

9.00 228.60 6964.4239 21.97 9.60E-02 9.83E+00 4.46E+00 7.76E-02 3.52E-02

9.25 234.95 6577.5114 20.749 1.04E-01 1.07E+01 4.84E+00 7.69E-02 3.49E-02

9.50 241.30 6190.599 19.529 1.12E-01 1.14E+01 5.19E+00 7.63E-02 3.46E-02

9.75 247.65 5803.6866 18.308 1.19E-01 1.22E+01 5.52E+00 7.57E-02 3.43E-02

10.00 254.00 5416.7741 17.088 1.26E-01 1.29E+01 5.83E+00 7.51E-02 3.41E-02

10.25 260.35 5029.8617 15.867 1.32E-01 1.35E+01 6.12E+00 7.46E-02 3.38E-02

10.50 266.70 4642.9492 14.647 1.38E-01 1.41E+01 6.39E+00 7.41E-02 3.36E-02

10.75 273.05 4256.0368 13.426 1.43E-01 1.46E+01 6.63E+00 7.36E-02 3.34E-02

11.00 279.40 3869.1244 12.205 1.48E-01 1.51E+01 6.86E+00 7.32E-02 3.32E-02

11.25 285.75 3482.2119 10.985 1.52E-01 1.56E+01 7.06E+00 7.28E-02 3.30E-02

11.50 292.10 3095.2995 9.7643 1.56E-01 1.60E+01 7.25E+00 7.25E-02 3.29E-02

11.75 298.45 2708.3871 8.5438 1.59E-01 1.63E+01 7.40E+00 7.22E-02 3.27E-02

12.00 304.80 2321.4746 7.3233 1.62E-01 1.66E+01 7.54E+00 7.19E-02 3.26E-02

Results for RBHT Test 1678

Valid Time Period 2340 to 2410 seconds
A-751

Figure A-625 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1678D for Time Period 2340 to 2410 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-752

RBHT Two-Phase Mixture Level and Uncovery Test INT-1678-E 

Test Conditions

Date: 7/21/2003

Steady-state time window: 2550 – 2610 seconds

Inlet flow rate: 2.540 cm/sec (1.000 in./sec) 

Inlet mass flow rate: 0.122 kg/sec (0.268 lbm/sec) 

Inlet flow temperature: 327.2 K (129.2 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 71.96 kW 
A-753

Figure A-626 Inlet Flow Plot for Experiment 1678E 

Figure A-627 Inlet Temperature Plot for Experiment 1678E 
A-754

Figure A-628 System Pressure Plot for Experiment 1678E 

Figure A-629 Bundle Power Plot for Experiment 1678E 
A-755

Table A-251: Data Results for RBHT Test 1678 for Time Period 2550 to 2610 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.607 22.430 1073.954 0.688 32.942 0.216 10.342 0.000 0.000 21.52 1030.383 2901.52 138925.5233 0.623 0.620 0.626

* 120-133 3048-3378 383 0.615 25.961 1243.041 0.744 35.623 0.386 18.482 -1.159 -55.471 25.99 1244.408 2927.51 140169.9312 0.615 0.612 0.618

* 108-120 2743-3048 382 0.507 30.724 1471.061 0.591 28.297 0.481 23.030 4.622 221.290 25.03 1198.443 2952.54 141368.374 0.598 0.595 0.601

100-108 2540-2743 381 0.574 17.720 848.421 0.330 15.800 0.352 16.854 0.000 0.000 17.03 815.401 2969.57 142183.7748 0.59 0.587 0.593

97-100 2464-2540 380 0.430 8.886 425.454 0.109 5.219 0.127 6.081 0.000 0.000 8.648 414.068 2978.218 142597.8432 0.445 0.443 0.447

93-97 2362-2464 379 0.440 11.633 556.994 0.133 6.368 0.166 7.948 0.000 0.000 11.33 542.483 2989.548 143140.3266 0.454 0.452 0.456

* 85-93 2159-2362 378 0.316 28.428 1361.154 0.221 10.582 0.319 15.274 4.308 206.282 23.58 1129.016 3013.128 144269.343 0.432 0.430 0.434

81-85 2057-2159 377 0.399 12.490 598.022 0.086 4.118 0.153 7.326 0.000 0.000 12.24 586.054 3025.368 144855.3974 0.41 0.408 0.412

78-81 1981-2057 376 0.185 12.698 607.969 0.054 2.586 0.112 5.363 0.000 0.000 12.53 599.940 3037.898 145455.337 0.196 0.195 0.197

75-78 1905-1981 375 0.130 13.549 648.749 0.043 2.059 0.109 5.219 0.000 0.000 13.39 641.117 3051.288 146096.4536 0.14 0.139 0.141

72-75 1829-1905 374 0.056 14.702 703.951 0.031 1.484 0.107 5.123 0.000 0.000 14.56 697.137 3065.848 146793.5902 0.065 0.062 0.068

* 67-72 1702-1829 373 0.033 25.099 1201.764 0.026 1.245 0.117 5.602 0.246 11.796 24.71 1183.121 3090.558 147976.7113 0.048 0.046 0.050

63-67 1600-1702 372 0.031 20.140 964.296 0.001 0.048 0.000 0.000 0.000 0.000 20.13 963.830 3110.688 148940.5409 0.031 0.029 0.033

60-63 1524-1600 371 0.010 15.429 738.763 0.001 0.048 0.000 0.000 0.000 0.000 15.43 738.792 3126.118 149679.3333 0.01 0.010 0.011

57-60 1448-1524 370 0.043 14.910 713.897 0.001 0.048 0.000 0.000 0.000 0.000 14.9 713.416 3141.018 150392.7491 0.043 0.041 0.045

53-57 1346-1448 369 0.031 20.124 963.550 0.001 0.048 0.000 0.000 0.000 0.000 20.11 962.872 3161.128 151355.621 0.031 0.029 0.033

* 46-53 1168-1346 368 0.030 35.252 1687.890 0.002 0.096 0.000 0.000 -0.180 -8.603 35.43 1696.398 3196.558 153052.0186 0.025 0.024 0.026

43-46 1092-1168 367 0.019 15.284 731.800 0.001 0.048 0.000 0.000 0.000 0.000 15.28 731.610 3211.838 153783.6289 0.019 0.018 0.020

37-43 940-1092 366 0.021 30.516 1461.114 0.002 0.096 0.000 0.000 0.000 0.000 30.5 1460.348 3242.338 155243.9767 0.021 0.020 0.022

* 25-37 635-940 365 0.015 61.390 2939.386 0.004 0.192 0.000 0.000 0.216 10.359 61.17 2928.835 3303.508 158172.812 0.018 0.017 0.019

13-25 330-635 364 0.015 61.359 2937.894 0.004 0.192 0.000 0.000 0.000 0.000 61.33 2936.496 3364.838 161109.3082 0.016 0.015 0.017

* 0-13 0-330 363 0.008 66.989 3207.439 0.004 0.192 0.000 0.000 0.015 0.707 66.97 3206.541 3431.808 164315.849 0.008 0.008 0.008

Results for RBHT Test 1678

Valid Time Period 2550 to 2610 seconds

Collapsed Liquid Level = 108.822 inches = 2764.07 mm

 (Zosv) Onset of Significant Void = 73.5 inches = 1867 mm

Table A-251 Data Results for RBHT Test 1678 for Time Period 2550 to 2610 seconds
A-756

Table A-252 Energy Balance Results for RBHT Test 1678E for Time Period 2550 to 2610 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2320.9583 7.3216 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

0.25 6.35 2449.9005 7.7284 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

0.50 12.70 2578.8426 8.1351 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

0.75 19.05 2707.7847 8.5419 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

1.00 25.40 2836.7269 8.9487 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

1.25 31.75 2965.669 9.3554 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

1.50 38.10 3094.6111 9.7622 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

1.75 44.45 3223.5533 10.169 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

2.00 50.80 3352.4954 10.576 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

2.25 57.15 3481.4375 10.982 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

2.50 63.50 3610.3796 11.389 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

2.75 69.85 3739.3218 11.796 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

3.00 76.20 3868.2639 12.203 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

3.25 82.55 3997.206 12.609 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

3.50 88.90 4126.1482 13.016 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

3.75 95.25 4255.0903 13.423 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

4.00 101.60 4384.0324 13.83 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

4.25 107.95 4512.9746 14.237 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

4.50 114.30 4641.9167 14.643 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

4.75 120.65 4770.8588 15.05 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

5.00 127.00 4899.8009 15.457 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

5.25 133.35 5028.7431 15.864 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

5.50 139.70 5157.6852 16.27 0.00E+00 0.00E+00 0.00E+00 8.61E-02 3.91E-02

5.75 146.05 5286.6273 16.677 8.12E-04 8.34E-02 3.78E-02 8.60E-02 3.90E-02

6.00 152.40 5415.5695 17.084 7.18E-03 7.37E-01 3.34E-01 8.55E-02 3.88E-02

6.25 158.75 5544.5116 17.491 1.37E-02 1.41E+00 6.38E-01 8.49E-02 3.85E-02

6.50 165.10 5673.4537 17.897 2.04E-02 2.09E+00 9.48E-01 8.43E-02 3.83E-02

6.75 171.45 5802.3959 18.304 2.72E-02 2.79E+00 1.27E+00 8.38E-02 3.80E-02

7.00 177.80 5931.338 18.711 3.42E-02 3.51E+00 1.59E+00 8.32E-02 3.77E-02

7.25 184.15 6060.2801 19.118 4.13E-02 4.24E+00 1.92E+00 8.25E-02 3.74E-02

7.50 190.50 6189.2223 19.524 4.86E-02 4.99E+00 2.26E+00 8.19E-02 3.72E-02

7.75 196.85 6318.1644 19.931 5.60E-02 5.75E+00 2.61E+00 8.13E-02 3.69E-02

8.00 203.20 6447.1065 20.338 6.36E-02 6.53E+00 2.96E+00 8.06E-02 3.66E-02

8.25 209.55 6576.0486 20.745 7.14E-02 7.33E+00 3.32E+00 8.00E-02 3.63E-02

8.50 215.90 6704.9908 21.151 7.93E-02 8.14E+00 3.69E+00 7.93E-02 3.60E-02

8.75 222.25 6833.9329 21.558 8.73E-02 8.96E+00 4.07E+00 7.86E-02 3.56E-02

9.00 228.60 6962.875 21.965 9.55E-02 9.81E+00 4.45E+00 7.79E-02 3.53E-02

9.25 234.95 6576.0486 20.745 1.04E-01 1.06E+01 4.83E+00 7.72E-02 3.50E-02

9.50 241.30 6189.2223 19.524 1.11E-01 1.14E+01 5.18E+00 7.65E-02 3.47E-02

9.75 247.65 5802.3959 18.304 1.18E-01 1.21E+01 5.51E+00 7.59E-02 3.44E-02

10.00 254.00 5415.5695 17.084 1.25E-01 1.28E+01 5.82E+00 7.53E-02 3.42E-02

10.25 260.35 5028.7431 15.864 1.31E-01 1.35E+01 6.11E+00 7.48E-02 3.39E-02

10.50 266.70 4641.9167 14.643 1.37E-01 1.41E+01 6.38E+00 7.43E-02 3.37E-02

10.75 273.05 4255.0903 13.423 1.42E-01 1.46E+01 6.62E+00 7.39E-02 3.35E-02

11.00 279.40 3868.2639 12.203 1.47E-01 1.51E+01 6.85E+00 7.34E-02 3.33E-02

11.25 285.75 3481.4375 10.982 1.51E-01 1.55E+01 7.05E+00 7.31E-02 3.31E-02

11.50 292.10 3094.6111 9.7622 1.55E-01 1.59E+01 7.23E+00 7.27E-02 3.30E-02

11.75 298.45 2707.7847 8.5419 1.59E-01 1.63E+01 7.40E+00 7.24E-02 3.29E-02

12.00 304.80 2320.9583 7.3216 1.62E-01 1.66E+01 7.54E+00 7.22E-02 3.27E-02

Results for RBHT Test 1678

Valid Time Period 2550 to 2610 seconds
A-757

Figure A-630 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1678E for Time Period 2550 to 2610 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-758

RBHT Two-Phase Mixture Level and Uncovery Test INT-1678-F 

Test Conditions

Date: 7/21/2003

Steady-state time window: 3960 – 3990 seconds

Inlet flow rate: 2.022 cm/sec (0.796 in./sec) 

Inlet mass flow rate: 0.097 kg/sec (0.213 lbm/sec) 

Inlet flow temperature: 327.2 K (129.2 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 71.96 kW 
A-759

Figure A-631 Inlet Flow Plot for Experiment 1678F 

Figure A-632 Inlet Temperature Plot for Experiment 1678F 
A-760

Figure A-633 System Pressure Plot for Experiment 1678F 

Figure A-634 Bundle Power Plot for Experiment 1678F 
A-761

Table A-253: Data Results for RBHT Test 1678 for Time Period 3960 to 3990 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.671 18.821 901.137 0.580 27.771 0.171 8.188 0.000 0.000 18.06 864.717 2898.06 138759.8576 0.684 0.681 0.687

* 120-133 3048-3378 383 0.649 23.697 1134.626 0.632 30.260 0.305 14.603 0.830 39.749 21.93 1050.014 2919.99 139809.8716 0.675 0.672 0.678

* 108-120 2743-3048 382 0.551 28.002 1340.764 0.511 24.467 0.380 18.194 5.781 276.817 21.33 1021.286 2941.32 140831.1575 0.658 0.655 0.661

100-108 2540-2743 381 0.635 15.159 725.833 0.293 14.029 0.278 13.311 0.000 0.000 14.58 698.094 2955.9 141529.2517 0.649 0.646 0.652

97-100 2464-2540 380 0.489 7.967 381.441 0.099 4.740 0.101 4.836 0.000 0.000 7.764 371.742 2963.664 141900.994 0.501 0.498 0.504

93-97 2362-2464 379 0.508 10.215 489.110 0.123 5.889 0.131 6.272 0.000 0.000 9.957 476.744 2973.621 142377.7377 0.521 0.518 0.524

* 85-93 2159-2362 378 0.381 25.707 1230.857 0.216 10.342 0.252 12.066 6.029 288.669 19.21 919.780 2992.831 143297.5174 0.538 0.535 0.541

81-85 2057-2159 377 0.544 9.467 453.303 0.092 4.405 0.121 5.794 0.000 0.000 9.251 442.940 3002.082 143740.4577 0.555 0.552 0.55878-81 1981-2057 376 0.290 11.062 529.641 0.062 2.969 0.088 4.213 0.000 0.000 10.91 522.374 3012.992 144262.8313 0.3 0.299 0.30275-78 1905-1981 375 0.375 9.732 465.985 0.055 2.633 0.086 4.118 0.000 0.000 9.585 458.932 3022.577 144721.7636 0.385 0.383 0.38772-75 1829-1905 374 0.296 10.974 525.414 0.049 2.346 0.084 4.022 0.000 0.000 10.84 519.022 3033.417 145240.7855 0.304 0.302 0.306

* 67-72 1702-1829 373 0.229 20.015 958.328 0.067 3.208 0.136 6.512 -0.738 -35.331 20.55 983.939 3053.967 146224.7248 0.208 0.207 0.209

63-67 1600-1702 372 0.106 18.582 889.698 0.038 1.819 0.105 5.027 0.000 0.000 18.43 882.433 3072.397 147107.158 0.113 0.112 0.11460-63 1524-1600 371 0.019 15.289 732.049 0.018 0.862 0.076 3.639 0.000 0.000 15.19 727.301 3087.587 147834.4591 0.025 0.024 0.02657-60 1448-1524 370 0.049 14.817 709.421 0.008 0.383 0.052 2.490 0.000 0.000 14.75 706.234 3102.337 148540.6929 0.053 0.050 0.05653-57 1346-1448 369 0.037 20.000 957.582 0.001 0.048 0.000 0.000 0.000 0.000 19.99 957.126 3122.327 149497.8192 0.037 0.035 0.039

* 46-53 1168-1346 368 0.036 35.050 1678.193 0.001 0.048 0.000 0.000 -0.171 -8.198 35.22 1686.343 3157.547 151184.1618 0.031 0.029 0.033

43-46 1092-1168 367 0.025 15.196 727.573 0.001 0.048 0.000 0.000 0.000 0.000 15.19 727.301 3172.737 151911.463 0.025 0.024 0.02637-43 940-1092 366 0.025 30.397 1455.395 0.001 0.048 0.000 0.000 0.000 0.000 30.38 1454.602 3203.117 153366.0652 0.025 0.024 0.026

* 25-37 635-940 365 0.018 61.224 2931.429 0.002 0.096 0.000 0.000 0.202 9.680 61.02 2921.653 3264.137 156287.7184 0.021 0.020 0.022

13-25 330-635 364 0.017 61.292 2934.661 0.002 0.096 0.000 0.000 0.000 0.000 61.27 2933.623 3325.407 159221.3418 0.017 0.016 0.018

* 0-13 0-330 363 0.008 66.942 3205.201 0.003 0.144 0.000 0.000 0.009 0.432 66.93 3204.626 3392.337 162425.9674 0.008 0.008 0.008

Results for RBHT Test 1678

Valid Time Period 3960 to 3990 seconds

Collapsed Liquid Level = 101.669 inches = 2582.39 mm

 (Zosv) Onset of Significant Void = 58.5 inches = 1486 mm

Table A-253 Data Results for RBHT Test 1678 for Time Period 3960 to 3990 seconds
A-762

Table A-254 Energy Balance Results for RBHT Test 1678F for Time Period 3960 to 3990 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2320.9385 7.3216 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

0.25 6.35 2449.8795 7.7283 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

0.50 12.70 2578.8206 8.1351 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

0.75 19.05 2707.7616 8.5418 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

1.00 25.40 2836.7026 8.9486 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

1.25 31.75 2965.6436 9.3553 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

1.50 38.10 3094.5847 9.7621 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

1.75 44.45 3223.5257 10.169 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

2.00 50.80 3352.4667 10.576 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

2.25 57.15 3481.4078 10.982 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

2.50 63.50 3610.3488 11.389 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

2.75 69.85 3739.2898 11.796 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

3.00 76.20 3868.2308 12.203 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

3.25 82.55 3997.1719 12.609 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

3.50 88.90 4126.1129 13.016 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

3.75 95.25 4255.0539 13.423 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

4.00 101.60 4383.9949 13.83 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

4.25 107.95 4512.936 14.236 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

4.50 114.30 4641.877 14.643 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

4.75 120.65 4770.818 15.05 0.00E+00 0.00E+00 0.00E+00 6.84E-02 3.10E-02

5.00 127.00 4899.7591 15.457 5.04E-03 4.09E-01 1.86E-01 6.80E-02 3.09E-02

5.25 133.35 5028.7001 15.863 1.25E-02 1.01E+00 4.60E-01 6.75E-02 3.06E-02

5.50 139.70 5157.6411 16.27 2.01E-02 1.63E+00 7.40E-01 6.70E-02 3.04E-02

5.75 146.05 5286.5821 16.677 2.79E-02 2.27E+00 1.03E+00 6.65E-02 3.01E-02

6.00 152.40 5415.5232 17.084 3.60E-02 2.92E+00 1.32E+00 6.59E-02 2.99E-02

6.25 158.75 5544.4642 17.49 4.42E-02 3.58E+00 1.63E+00 6.54E-02 2.96E-02

6.50 165.10 5673.4052 17.897 5.26E-02 4.27E+00 1.94E+00 6.48E-02 2.94E-02

6.75 171.45 5802.3463 18.304 6.12E-02 4.96E+00 2.25E+00 6.42E-02 2.91E-02

7.00 177.80 5931.2873 18.711 7.00E-02 5.68E+00 2.58E+00 6.36E-02 2.88E-02

7.25 184.15 6060.2283 19.117 7.89E-02 6.41E+00 2.91E+00 6.30E-02 2.86E-02

7.50 190.50 6189.1693 19.524 8.81E-02 7.15E+00 3.24E+00 6.23E-02 2.83E-02

7.75 196.85 6318.1104 19.931 9.75E-02 7.91E+00 3.59E+00 6.17E-02 2.80E-02

8.00 203.20 6447.0514 20.338 1.07E-01 8.69E+00 3.94E+00 6.11E-02 2.77E-02

8.25 209.55 6575.9924 20.744 1.17E-01 9.48E+00 4.30E+00 6.04E-02 2.74E-02

8.50 215.90 6704.9334 21.151 1.27E-01 1.03E+01 4.67E+00 5.97E-02 2.71E-02

8.75 222.25 6833.8745 21.558 1.37E-01 1.11E+01 5.04E+00 5.90E-02 2.68E-02

9.00 228.60 6962.8155 21.965 1.47E-01 1.19E+01 5.42E+00 5.83E-02 2.64E-02

9.25 234.95 6575.9924 20.744 1.57E-01 1.28E+01 5.80E+00 5.76E-02 2.61E-02

9.50 241.30 6189.1693 19.524 1.67E-01 1.35E+01 6.15E+00 5.70E-02 2.58E-02

9.75 247.65 5802.3463 18.304 1.76E-01 1.43E+01 6.48E+00 5.63E-02 2.56E-02

10.00 254.00 5415.5232 17.084 1.84E-01 1.50E+01 6.79E+00 5.58E-02 2.53E-02

10.25 260.35 5028.7001 15.863 1.92E-01 1.56E+01 7.07E+00 5.52E-02 2.51E-02

10.50 266.70 4641.877 14.643 1.99E-01 1.62E+01 7.34E+00 5.47E-02 2.48E-02

10.75 273.05 4255.0539 13.423 2.06E-01 1.67E+01 7.59E+00 5.43E-02 2.46E-02

11.00 279.40 3868.2308 12.203 2.12E-01 1.72E+01 7.81E+00 5.39E-02 2.44E-02

11.25 285.75 3481.4078 10.982 2.18E-01 1.77E+01 8.01E+00 5.35E-02 2.43E-02

11.50 292.10 3094.5847 9.7621 2.23E-01 1.81E+01 8.19E+00 5.32E-02 2.41E-02

11.75 298.45 2707.7616 8.5418 2.27E-01 1.84E+01 8.35E+00 5.29E-02 2.40E-02

12.00 304.80 2320.9385 7.3216 2.31E-01 1.87E+01 8.49E+00 5.26E-02 2.39E-02

Results for RBHT Test 1678

Valid Time Period 3960 to 3990 seconds
A-763

Figure A-635 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1678F for Time Period 3960 to 3990 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-764

RBHT Two-Phase Mixture Level and Uncovery Test INT-1679-A 

Test Conditions

Date: 7/21/2003

Steady-state time window: 1620 – 1730 seconds

Inlet flow rate: 2.032 cm/sec (0.800 in./sec) 

Inlet mass flow rate: 0.097 kg/sec (0.214 lbm/sec) 

Inlet flow temperature: 328.1 K (130.9 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 72.35 kW 
A-765

Figure A-636 Inlet Flow Plot for Experiment 1679A 

Figure A-637 Inlet Temperature Plot for Experiment 1679A 
A-766

Figure A-638 System Pressure Plot for Experiment 1679A 

Figure A-639 Bundle Power Plot for Experiment 1679A 
A-767

Table A-255: Data Results for RBHT Test 1679 for Time Period 1620 to 1730 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.671 18.769 898.650 0.588 28.154 0.173 8.283 0.000 0.000 18 861.845 2898 138756.9848 0.685 0.682 0.688

* 120-133 3048-3378 383 0.650 23.640 1131.891 0.641 30.691 0.309 14.795 0.850 40.700 21.84 1045.705 2919.84 139802.6896 0.676 0.673 0.679

* 108-120 2743-3048 382 0.549 28.117 1346.234 0.519 24.850 0.386 18.482 6.012 287.841 21.2 1015.061 2941.04 140817.751 0.66 0.657 0.663

100-108 2540-2743 381 0.637 15.066 721.357 0.297 14.220 0.283 13.550 0.000 0.000 14.48 693.306 2955.52 141511.0572 0.651 0.648 0.654

97-100 2464-2540 380 0.493 7.904 378.457 0.101 4.836 0.102 4.884 0.000 0.000 7.701 368.726 2963.221 141879.783 0.506 0.503 0.509

93-97 2362-2464 379 0.502 10.350 495.575 0.125 5.985 0.133 6.368 0.000 0.000 10.09 483.112 2973.311 142362.8948 0.514 0.511 0.517

* 85-93 2159-2362 378 0.383 25.650 1228.122 0.219 10.486 0.256 12.257 5.875 281.290 19.3 924.089 2992.611 143286.9838 0.535 0.532 0.538

81-85 2057-2159 377 0.546 9.431 451.563 0.093 4.453 0.123 5.889 0.000 0.000 9.212 441.073 3001.823 143728.0567 0.556 0.553 0.55978-81 1981-2057 376 0.312 10.714 512.981 0.063 3.016 0.090 4.309 0.000 0.000 10.56 505.616 3012.383 144233.6722 0.322 0.320 0.32475-78 1905-1981 375 0.363 9.924 475.185 0.056 2.681 0.087 4.166 0.000 0.000 9.775 468.030 3022.158 144701.7017 0.372 0.370 0.37472-75 1829-1905 374 0.296 10.968 525.166 0.050 2.394 0.085 4.070 0.000 0.000 10.83 518.543 3032.988 145220.2449 0.305 0.303 0.307

* 67-72 1702-1829 373 0.234 19.901 952.857 0.068 3.256 0.138 6.607 -0.795 -38.072 20.49 981.066 3053.478 146201.3114 0.211 0.210 0.212

63-67 1600-1702 372 0.110 18.499 885.720 0.039 1.867 0.106 5.075 0.000 0.000 18.35 878.603 3071.828 147079.9141 0.117 0.116 0.11860-63 1524-1600 371 0.021 15.258 730.557 0.019 0.910 0.077 3.687 0.000 0.000 15.16 725.865 3086.988 147805.7788 0.027 0.026 0.02857-60 1448-1524 370 0.049 14.811 709.173 0.009 0.431 0.055 2.633 0.000 0.000 14.74 705.755 3101.728 148511.5338 0.053 0.050 0.05653-57 1346-1448 369 0.038 19.984 956.836 0.001 0.048 0.000 0.000 0.000 0.000 19.98 956.648 3121.708 149468.1813 0.038 0.036 0.040

* 46-53 1168-1346 368 0.036 35.060 1678.690 0.001 0.048 0.000 0.000 -0.151 -7.222 35.21 1685.864 3156.918 151154.0452 0.031 0.029 0.033

43-46 1092-1168 367 0.024 15.201 727.822 0.001 0.048 0.000 0.000 0.000 0.000 15.19 727.301 3172.108 151881.3463 0.025 0.024 0.02637-43 940-1092 366 0.025 30.386 1454.898 0.001 0.048 0.000 0.000 0.000 0.000 30.37 1454.123 3202.478 153335.4697 0.025 0.024 0.026

* 25-37 635-940 365 0.018 61.214 2930.932 0.003 0.144 0.000 0.000 0.201 9.613 61.01 2921.174 3263.488 156256.6442 0.021 0.020 0.022

13-25 330-635 364 0.016 61.297 2934.910 0.003 0.144 0.000 0.000 0.000 0.000 61.27 2933.623 3324.758 159190.2675 0.016 0.015 0.017

* 0-13 0-330 363 0.009 66.932 3204.704 0.003 0.144 0.000 0.000 -0.011 -0.544 66.94 3205.104 3391.698 162395.3719 0.008 0.008 0.008

Results for RBHT Test 1679

Valid Time Period 1620 to 1730 seconds

Collapsed Liquid Level = 101.491 inches = 2577.86 mm

 (Zosv) Onset of Significant Void = 58.5 inches = 1486 mm

Table A-255 Data Results for RBHT Test 1679 for Time Period 1620 to 1730 seconds
A-768

Table A-256 Energy Balance Results for RBHT Test 1679A for Time Period 1620 to 1730 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2333.5395 7.3613 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

0.25 6.35 2463.1806 7.7703 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

0.50 12.70 2592.8217 8.1792 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

0.75 19.05 2722.4628 8.5882 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

1.00 25.40 2852.1039 8.9972 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

1.25 31.75 2981.745 9.4061 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

1.50 38.10 3111.3861 9.8151 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

1.75 44.45 3241.0271 10.224 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

2.00 50.80 3370.6682 10.633 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

2.25 57.15 3500.3093 11.042 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

2.50 63.50 3629.9504 11.451 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

2.75 69.85 3759.5915 11.86 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

3.00 76.20 3889.2326 12.269 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

3.25 82.55 4018.8737 12.678 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

3.50 88.90 4148.5147 13.087 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

3.75 95.25 4278.1558 13.496 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

4.00 101.60 4407.7969 13.905 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

4.25 107.95 4537.438 14.314 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

4.50 114.30 4667.0791 14.723 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

4.75 120.65 4796.7202 15.132 0.00E+00 0.00E+00 0.00E+00 6.87E-02 3.12E-02

5.00 127.00 4926.3613 15.541 5.32E-03 4.36E-01 1.98E-01 6.84E-02 3.10E-02

5.25 133.35 5056.0023 15.95 1.28E-02 1.05E+00 4.75E-01 6.78E-02 3.08E-02

5.50 139.70 5185.6434 16.358 2.04E-02 1.67E+00 7.58E-01 6.73E-02 3.05E-02

5.75 146.05 5315.2845 16.767 2.82E-02 2.31E+00 1.05E+00 6.68E-02 3.03E-02

6.00 152.40 5444.9256 17.176 3.62E-02 2.97E+00 1.35E+00 6.62E-02 3.00E-02

6.25 158.75 5574.5667 17.585 4.44E-02 3.64E+00 1.65E+00 6.57E-02 2.98E-02

6.50 165.10 5704.2078 17.994 5.29E-02 4.33E+00 1.97E+00 6.51E-02 2.95E-02

6.75 171.45 5833.8489 18.403 6.14E-02 5.04E+00 2.28E+00 6.45E-02 2.93E-02

7.00 177.80 5963.4899 18.812 7.02E-02 5.76E+00 2.61E+00 6.39E-02 2.90E-02

7.25 184.15 6093.131 19.221 7.92E-02 6.49E+00 2.95E+00 6.33E-02 2.87E-02

7.50 190.50 6222.7721 19.63 8.84E-02 7.25E+00 3.29E+00 6.26E-02 2.84E-02

7.75 196.85 6352.4132 20.039 9.78E-02 8.01E+00 3.64E+00 6.20E-02 2.81E-02

8.00 203.20 6482.0543 20.448 1.07E-01 8.80E+00 3.99E+00 6.13E-02 2.78E-02

8.25 209.55 6611.6954 20.857 1.17E-01 9.60E+00 4.35E+00 6.07E-02 2.75E-02

8.50 215.90 6741.3364 21.266 1.27E-01 1.04E+01 4.72E+00 6.00E-02 2.72E-02

8.75 222.25 6870.9775 21.675 1.37E-01 1.12E+01 5.10E+00 5.93E-02 2.69E-02

9.00 228.60 7000.6186 22.084 1.48E-01 1.21E+01 5.49E+00 5.86E-02 2.66E-02

9.25 234.95 6611.6954 20.857 1.58E-01 1.29E+01 5.86E+00 5.79E-02 2.63E-02

9.50 241.30 6222.7721 19.63 1.67E-01 1.37E+01 6.22E+00 5.72E-02 2.60E-02

9.75 247.65 5833.8489 18.403 1.76E-01 1.44E+01 6.55E+00 5.66E-02 2.57E-02

10.00 254.00 5444.9256 17.176 1.85E-01 1.51E+01 6.86E+00 5.60E-02 2.54E-02

10.25 260.35 5056.0023 15.95 1.92E-01 1.58E+01 7.15E+00 5.55E-02 2.52E-02

10.50 266.70 4667.0791 14.723 2.00E-01 1.64E+01 7.43E+00 5.50E-02 2.49E-02

10.75 273.05 4278.1558 13.496 2.06E-01 1.69E+01 7.67E+00 5.45E-02 2.47E-02

11.00 279.40 3889.2326 12.269 2.12E-01 1.74E+01 7.90E+00 5.41E-02 2.45E-02

11.25 285.75 3500.3093 11.042 2.18E-01 1.79E+01 8.10E+00 5.37E-02 2.44E-02

11.50 292.10 3111.3861 9.8151 2.23E-01 1.83E+01 8.29E+00 5.34E-02 2.42E-02

11.75 298.45 2722.4628 8.5882 2.27E-01 1.86E+01 8.45E+00 5.31E-02 2.41E-02

12.00 304.80 2333.5395 7.3613 2.31E-01 1.89E+01 8.59E+00 5.28E-02 2.40E-02

Results for RBHT Test 1679

Valid Time Period 1620 to 1730 seconds
A-769

Figure A-640 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1679A for Time Period 1620 to 1730 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-770

RBHT Two-Phase Mixture Level and Uncovery Test INT-1679-B 

Test Conditions

Date: 7/21/2003

Steady-state time window: 2174 – 2234 seconds

Inlet flow rate: 1.524 cm/sec (0.600 in./sec) 

Inlet mass flow rate: 0.073 kg/sec (0.160 lbm/sec) 

Inlet flow temperature: 328.1 K (130.9 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 72.35 kW 
A-771

Figure A-641 Inlet Flow Plot for Experiment 1679B 

Figure A-642 Inlet Temperature Plot for Experiment 1679B 
A-772

Figure A-643 System Pressure Plot for Experiment 1679B 

Figure A-644 Bundle Power Plot for Experiment 1679B 
A-773

Table A-257: Data Results for RBHT Test 1679 for Time Period 2174 to 2234 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.728 15.512 742.741 0.467 22.360 0.130 6.224 0.000 0.000 14.91 713.895 2894.91 138609.0348 0.739 0.735 0.743

* 120-133 3048-3378 383 0.691 20.851 998.362 0.511 24.467 0.232 11.108 1.878 89.930 18.23 872.857 2913.14 139481.8919 0.73 0.726 0.734

* 108-120 2743-3048 382 0.597 25.115 1202.510 0.418 20.014 0.290 13.885 6.457 309.160 17.95 859.451 2931.09 140341.3425 0.712 0.708 0.716

100-108 2540-2743 381 0.692 12.802 612.942 0.243 11.635 0.212 10.151 0.000 0.000 12.34 590.842 2943.43 140932.1849 0.703 0.699 0.707

97-100 2464-2540 380 0.555 6.928 331.710 0.083 3.974 0.077 3.687 0.000 0.000 6.765 323.910 2950.195 141256.0948 0.566 0.563 0.569

93-97 2362-2464 379 0.568 8.974 429.681 0.105 5.027 0.100 4.788 0.000 0.000 8.765 419.670 2958.96 141675.7653 0.578 0.575 0.581

* 85-93 2159-2362 378 0.422 24.030 1150.540 0.188 9.001 0.192 9.193 7.800 373.444 15.85 758.902 2974.81 142434.6673 0.618 0.615 0.621

81-85 2057-2159 377 0.650 7.265 347.873 0.083 3.974 0.092 4.405 0.000 0.000 7.088 339.375 2981.898 142774.0426 0.659 0.656 0.66278-81 1981-2057 376 0.390 9.499 454.795 0.058 2.777 0.067 3.208 0.000 0.000 9.373 448.782 2991.271 143222.8242 0.398 0.396 0.40075-78 1905-1981 375 0.458 8.444 404.318 0.054 2.586 0.066 3.160 0.000 0.000 8.321 398.412 2999.592 143621.2359 0.466 0.464 0.46872-75 1829-1905 374 0.386 9.566 458.028 0.049 2.346 0.064 3.064 0.000 0.000 9.45 452.468 3009.042 144073.7043 0.393 0.391 0.395

* 67-72 1702-1829 373 0.346 16.982 813.112 0.073 3.495 0.104 4.980 1.825 87.391 14.98 717.246 3024.022 144790.9505 0.423 0.421 0.425

63-67 1600-1702 372 0.446 11.508 551.026 0.050 2.394 0.080 3.830 0.000 0.000 11.37 544.399 3035.392 145335.3491 0.452 0.450 0.45460-63 1524-1600 371 0.326 10.506 503.035 0.032 1.532 0.058 2.777 0.000 0.000 10.41 498.433 3045.802 145833.7825 0.332 0.330 0.33457-60 1448-1524 370 0.276 11.280 540.085 0.028 1.341 0.057 2.729 0.000 0.000 11.19 535.780 3056.992 146369.5626 0.282 0.281 0.28353-57 1346-1448 369 0.170 17.237 825.296 0.030 1.436 0.073 3.495 0.000 0.000 17.13 820.189 3074.122 147189.7514 0.175 0.174 0.176

* 46-53 1168-1346 368 0.055 34.359 1645.121 0.028 1.341 0.117 5.602 1.674 80.155 32.54 1558.024 3106.662 148747.775 0.105 0.104 0.106

43-46 1092-1168 367 0.034 15.050 720.611 0.000 0.000 0.000 0.000 0.000 0.000 15.05 720.598 3121.712 149468.3728 0.034 0.032 0.03637-43 940-1092 366 0.031 30.189 1445.449 0.001 0.048 0.000 0.000 0.000 0.000 30.18 1445.026 3151.892 150913.399 0.031 0.029 0.033

* 25-37 635-940 365 0.023 60.887 2915.266 0.001 0.048 0.000 0.000 0.156 7.450 60.73 2907.768 3212.622 153821.167 0.025 0.024 0.026

13-25 330-635 364 0.019 61.131 2926.953 0.001 0.048 0.000 0.000 0.000 0.000 61.11 2925.963 3273.732 156747.1295 0.019 0.018 0.020

* 0-13 0-330 363 0.010 66.864 3201.471 0.002 0.096 0.000 0.000 0.012 0.580 66.85 3200.795 3340.582 159947.9247 0.01 0.010 0.011

Results for RBHT Test 1679

Valid Time Period 2174 to 2234 seconds

Collapsed Liquid Level = 93.151 inches = 2366.04 mm

 (Zosv) Onset of Significant Void = 49.5 inches = 1257 mm

Table A-257 Data Results for RBHT Test 1679 for Time Period 2174 to 2234 seconds
A-774

Table A-258 Energy Balance Results for RBHT Test 1679B for Time Period 2174 to 2234 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2332.6162 7.3584 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

0.25 6.35 2462.206 7.7672 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

0.50 12.70 2591.7958 8.176 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

0.75 19.05 2721.3856 8.5848 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

1.00 25.40 2850.9754 8.9936 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

1.25 31.75 2980.5652 9.4024 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

1.50 38.10 3110.155 9.8112 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

1.75 44.45 3239.7448 10.22 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

2.00 50.80 3369.3346 10.629 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

2.25 57.15 3498.9244 11.038 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

2.50 63.50 3628.5142 11.446 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

2.75 69.85 3758.1039 11.855 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

3.00 76.20 3887.6937 12.264 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

3.25 82.55 4017.2835 12.673 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

3.50 88.90 4146.8733 13.082 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

3.75 95.25 4276.4631 13.49 0.00E+00 0.00E+00 0.00E+00 5.15E-02 2.34E-02

4.00 101.60 4406.0529 13.899 5.02E-03 3.09E-01 1.40E-01 5.12E-02 2.32E-02

4.25 107.95 4535.6427 14.308 1.39E-02 8.56E-01 3.88E-01 5.08E-02 2.30E-02

4.50 114.30 4665.2325 14.717 2.31E-02 1.42E+00 6.43E-01 5.03E-02 2.28E-02

4.75 120.65 4794.8223 15.126 3.25E-02 2.00E+00 9.06E-01 4.98E-02 2.26E-02

5.00 127.00 4924.4121 15.534 4.21E-02 2.59E+00 1.18E+00 4.93E-02 2.24E-02

5.25 133.35 5054.0019 15.943 5.20E-02 3.20E+00 1.45E+00 4.88E-02 2.21E-02

5.50 139.70 5183.5917 16.352 6.22E-02 3.83E+00 1.74E+00 4.83E-02 2.19E-02

5.75 146.05 5313.1814 16.761 7.27E-02 4.47E+00 2.03E+00 4.78E-02 2.17E-02

6.00 152.40 5442.7712 17.17 8.34E-02 5.13E+00 2.33E+00 4.72E-02 2.14E-02

6.25 158.75 5572.361 17.578 9.43E-02 5.80E+00 2.63E+00 4.66E-02 2.12E-02

6.50 165.10 5701.9508 17.987 1.06E-01 6.49E+00 2.94E+00 4.61E-02 2.09E-02

6.75 171.45 5831.5406 18.396 1.17E-01 7.20E+00 3.26E+00 4.55E-02 2.06E-02

7.00 177.80 5961.1304 18.805 1.29E-01 7.92E+00 3.59E+00 4.49E-02 2.04E-02

7.25 184.15 6090.7202 19.214 1.41E-01 8.66E+00 3.93E+00 4.43E-02 2.01E-02

7.50 190.50 6220.31 19.622 1.53E-01 9.41E+00 4.27E+00 4.36E-02 1.98E-02

7.75 196.85 6349.8998 20.031 1.65E-01 1.02E+01 4.62E+00 4.30E-02 1.95E-02

8.00 203.20 6479.4896 20.44 1.78E-01 1.10E+01 4.97E+00 4.23E-02 1.92E-02

8.25 209.55 6609.0794 20.849 1.91E-01 1.18E+01 5.34E+00 4.17E-02 1.89E-02

8.50 215.90 6738.6691 21.258 2.04E-01 1.26E+01 5.70E+00 4.10E-02 1.86E-02

8.75 222.25 6868.2589 21.666 2.18E-01 1.34E+01 6.08E+00 4.03E-02 1.83E-02

9.00 228.60 6997.8487 22.075 2.32E-01 1.43E+01 6.47E+00 3.96E-02 1.79E-02

9.25 234.95 6609.0794 20.849 2.45E-01 1.51E+01 6.84E+00 3.89E-02 1.76E-02

9.50 241.30 6220.31 19.622 2.58E-01 1.59E+01 7.20E+00 3.82E-02 1.73E-02

9.75 247.65 5831.5406 18.396 2.70E-01 1.66E+01 7.53E+00 3.76E-02 1.71E-02

10.00 254.00 5442.7712 17.17 2.81E-01 1.73E+01 7.85E+00 3.70E-02 1.68E-02

10.25 260.35 5054.0019 15.943 2.92E-01 1.79E+01 8.14E+00 3.65E-02 1.65E-02

10.50 266.70 4665.2325 14.717 3.01E-01 1.85E+01 8.41E+00 3.60E-02 1.63E-02

10.75 273.05 4276.4631 13.49 3.10E-01 1.91E+01 8.66E+00 3.55E-02 1.61E-02

11.00 279.40 3887.6937 12.264 3.18E-01 1.96E+01 8.88E+00 3.51E-02 1.59E-02

11.25 285.75 3498.9244 11.038 3.26E-01 2.00E+01 9.09E+00 3.47E-02 1.58E-02

11.50 292.10 3110.155 9.8112 3.32E-01 2.04E+01 9.27E+00 3.44E-02 1.56E-02

11.75 298.45 2721.3856 8.5848 3.38E-01 2.08E+01 9.43E+00 3.41E-02 1.55E-02

12.00 304.80 2332.6162 7.3584 3.43E-01 2.11E+01 9.57E+00 3.38E-02 1.53E-02

Results for RBHT Test 1679

Valid Time Period 2174 to 2234 seconds
A-775

Figure A-645 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1679B for Time Period 2174 to 2234 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-776

RBHT Two-Phase Mixture Level and Uncovery Test INT-1679-C 

Test Conditions

Date: 7/21/2003

Steady-state time window: 1980 – 2070 seconds

Inlet flow rate: 1.532 cm/sec (0.603 in./sec) 

Inlet mass flow rate: 0.073 kg/sec (0.161 lbm/sec) 

Inlet flow temperature: 328.1 K (130.9 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 72.35 kW 
A-777

Figure A-646 Inlet Flow Plot for Experiment 1679C 

Figure A-647 Inlet Temperature Plot for Experiment 1679C 
A-778

Figure A-648 System Pressure Plot for Experiment 1679C 

Figure A-649 Bundle Power Plot for Experiment 1679C 
A-779

Table A-259: Data Results for RBHT Test 1679 for Time Period 1980 to 2070 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.726 15.668 750.201 0.468 22.408 0.131 6.272 0.000 0.000 15.06 721.077 2895.06 138616.2168 0.736 0.732 0.740

* 120-133 3048-3378 383 0.689 21.028 1006.816 0.513 24.563 0.233 11.156 1.892 90.580 18.39 880.518 2913.45 139496.7348 0.728 0.724 0.732

* 108-120 2743-3048 382 0.594 25.312 1211.959 0.419 20.062 0.291 13.933 6.552 313.725 18.05 864.239 2931.5 140360.9734 0.71 0.706 0.714

100-108 2540-2743 381 0.691 12.853 615.428 0.244 11.683 0.213 10.198 0.000 0.000 12.39 593.236 2943.89 140954.2098 0.702 0.698 0.706

97-100 2464-2540 380 0.553 6.964 333.450 0.084 4.022 0.077 3.687 0.000 0.000 6.802 325.682 2950.692 141279.8913 0.563 0.560 0.566

93-97 2362-2464 379 0.568 8.984 430.178 0.105 5.027 0.100 4.788 0.000 0.000 8.777 420.245 2959.469 141700.1363 0.577 0.574 0.580

* 85-93 2159-2362 378 0.419 24.133 1155.514 0.188 9.001 0.193 9.241 7.792 373.102 15.96 764.169 2975.429 142464.3052 0.616 0.613 0.619

81-85 2057-2159 377 0.646 7.364 352.597 0.083 3.974 0.092 4.405 0.000 0.000 7.185 344.020 2982.614 142808.3249 0.654 0.651 0.65778-81 1981-2057 376 0.382 9.623 460.763 0.058 2.777 0.067 3.208 0.000 0.000 9.493 454.527 2992.107 143262.8521 0.391 0.389 0.39375-78 1905-1981 375 0.452 8.533 408.545 0.054 2.586 0.066 3.160 0.000 0.000 8.409 402.625 3000.516 143665.4772 0.46 0.458 0.46272-75 1829-1905 374 0.372 9.779 468.223 0.049 2.346 0.064 3.064 0.000 0.000 9.66 462.523 3010.176 144128.0005 0.38 0.378 0.382

* 67-72 1702-1829 373 0.341 17.122 819.825 0.073 3.495 0.104 4.980 1.495 71.601 15.45 739.750 3025.626 144867.7505 0.405 0.403 0.407

63-67 1600-1702 372 0.424 11.976 573.405 0.050 2.394 0.080 3.830 0.000 0.000 11.84 566.902 3037.466 145434.6527 0.43 0.428 0.43260-63 1524-1600 371 0.326 10.501 502.786 0.032 1.532 0.058 2.777 0.000 0.000 10.41 498.433 3047.876 145933.0862 0.332 0.330 0.33457-60 1448-1524 370 0.253 11.638 557.243 0.028 1.341 0.057 2.729 0.000 0.000 11.55 553.017 3059.426 146486.1032 0.258 0.257 0.25953-57 1346-1448 369 0.140 17.865 855.383 0.029 1.389 0.073 3.495 0.000 0.000 17.76 850.353 3077.186 147336.4565 0.145 0.144 0.146

* 46-53 1168-1346 368 0.048 34.598 1656.559 0.027 1.293 0.113 5.410 1.358 65.020 33.1 1584.837 3110.286 148921.293 0.089 0.085 0.093

43-46 1092-1168 367 0.033 15.061 721.108 0.000 0.000 0.000 0.000 0.000 0.000 15.06 721.077 3125.346 149642.3697 0.033 0.031 0.03537-43 940-1092 366 0.031 30.199 1445.946 0.001 0.048 0.000 0.000 0.000 0.000 30.19 1445.505 3155.536 151087.8747 0.031 0.029 0.033

* 25-37 635-940 365 0.023 60.892 2915.515 0.001 0.048 0.000 0.000 0.141 6.741 60.75 2908.726 3216.286 153996.6003 0.025 0.024 0.026

13-25 330-635 364 0.019 61.136 2927.202 0.001 0.048 0.000 0.000 0.000 0.000 61.11 2925.963 3277.396 156922.5628 0.019 0.018 0.020

* 0-13 0-330 363 0.010 66.869 3201.720 0.002 0.096 0.000 0.000 0.017 0.829 66.85 3200.795 3344.246 160123.358 0.01 0.010 0.011

Results for RBHT Test 1679

Valid Time Period 1980 to 2070 seconds

Collapsed Liquid Level = 93.116 inches = 2365.13 mm

 (Zosv) Onset of Significant Void = 49.5 inches = 1257 mm

Table A-259: Data Results for RBHT Test 1679 for Time Period 1980 to 2070 seconds
A-780

Table A-260 Energy Balance Results for RBHT Test 1679C for Time Period 1980 to 2070 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2331.9295 7.3562 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

0.25 6.35 2461.4812 7.7649 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

0.50 12.70 2591.0328 8.1736 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

0.75 19.05 2720.5845 8.5823 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

1.00 25.40 2850.1361 8.991 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

1.25 31.75 2979.6877 9.3996 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

1.50 38.10 3109.2394 9.8083 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

1.75 44.45 3238.791 10.217 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

2.00 50.80 3368.3427 10.626 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

2.25 57.15 3497.8943 11.034 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

2.50 63.50 3627.4459 11.443 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

2.75 69.85 3756.9976 11.852 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

3.00 76.20 3886.5492 12.26 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

3.25 82.55 4016.1009 12.669 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

3.50 88.90 4145.6525 13.078 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

3.75 95.25 4275.2041 13.486 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

4.00 101.60 4404.7558 13.895 4.18E-03 2.58E-01 1.17E-01 5.16E-02 2.34E-02

4.25 107.95 4534.3074 14.304 1.30E-02 8.04E-01 3.65E-01 5.11E-02 2.32E-02

4.50 114.30 4663.8591 14.712 2.21E-02 1.37E+00 6.19E-01 5.06E-02 2.30E-02

4.75 120.65 4793.4107 15.121 3.15E-02 1.94E+00 8.81E-01 5.02E-02 2.28E-02

5.00 127.00 4922.9623 15.53 4.11E-02 2.54E+00 1.15E+00 4.97E-02 2.25E-02

5.25 133.35 5052.514 15.939 5.09E-02 3.15E+00 1.43E+00 4.92E-02 2.23E-02

5.50 139.70 5182.0656 16.347 6.11E-02 3.77E+00 1.71E+00 4.86E-02 2.21E-02

5.75 146.05 5311.6173 16.756 7.14E-02 4.41E+00 2.00E+00 4.81E-02 2.18E-02

6.00 152.40 5441.1689 17.165 8.21E-02 5.07E+00 2.30E+00 4.75E-02 2.16E-02

6.25 158.75 5570.7205 17.573 9.29E-02 5.74E+00 2.60E+00 4.70E-02 2.13E-02

6.50 165.10 5700.2722 17.982 1.04E-01 6.43E+00 2.92E+00 4.64E-02 2.10E-02

6.75 171.45 5829.8238 18.391 1.16E-01 7.13E+00 3.24E+00 4.58E-02 2.08E-02

7.00 177.80 5959.3755 18.799 1.27E-01 7.85E+00 3.56E+00 4.52E-02 2.05E-02

7.25 184.15 6088.9271 19.208 1.39E-01 8.58E+00 3.89E+00 4.46E-02 2.02E-02

7.50 190.50 6218.4787 19.617 1.51E-01 9.34E+00 4.24E+00 4.40E-02 1.99E-02

7.75 196.85 6348.0304 20.025 1.64E-01 1.01E+01 4.58E+00 4.33E-02 1.96E-02

8.00 203.20 6477.582 20.434 1.76E-01 1.09E+01 4.94E+00 4.27E-02 1.93E-02

8.25 209.55 6607.1337 20.843 1.89E-01 1.17E+01 5.30E+00 4.20E-02 1.90E-02

8.50 215.90 6736.6853 21.251 2.02E-01 1.25E+01 5.67E+00 4.13E-02 1.87E-02

8.75 222.25 6866.2369 21.66 2.16E-01 1.33E+01 6.05E+00 4.06E-02 1.84E-02

9.00 228.60 6995.7886 22.069 2.30E-01 1.42E+01 6.43E+00 3.99E-02 1.81E-02

9.25 234.95 6607.1337 20.843 2.43E-01 1.50E+01 6.81E+00 3.92E-02 1.78E-02

9.50 241.30 6218.4787 19.617 2.56E-01 1.58E+01 7.16E+00 3.85E-02 1.75E-02

9.75 247.65 5829.8238 18.391 2.68E-01 1.65E+01 7.50E+00 3.79E-02 1.72E-02

10.00 254.00 5441.1689 17.165 2.79E-01 1.72E+01 7.81E+00 3.73E-02 1.69E-02

10.25 260.35 5052.514 15.939 2.89E-01 1.79E+01 8.10E+00 3.68E-02 1.67E-02

10.50 266.70 4663.8591 14.712 2.99E-01 1.85E+01 8.37E+00 3.63E-02 1.65E-02

10.75 273.05 4275.2041 13.486 3.08E-01 1.90E+01 8.62E+00 3.59E-02 1.63E-02

11.00 279.40 3886.5492 12.26 3.16E-01 1.95E+01 8.84E+00 3.54E-02 1.61E-02

11.25 285.75 3497.8943 11.034 3.23E-01 1.99E+01 9.05E+00 3.51E-02 1.59E-02

11.50 292.10 3109.2394 9.8083 3.30E-01 2.04E+01 9.23E+00 3.47E-02 1.58E-02

11.75 298.45 2720.5845 8.5823 3.35E-01 2.07E+01 9.39E+00 3.44E-02 1.56E-02

12.00 304.80 2331.9295 7.3562 3.40E-01 2.10E+01 9.53E+00 3.42E-02 1.55E-02

Results for RBHT Test 1679

Valid Time Period 1980 to 2070 seconds
A-781

Figure A-650 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1679C for Time Period 1980 to 2070 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-782

RBHT Two-Phase Mixture Level and Uncovery Test INT-1679-D 

Test Conditions

Date: 7/21/2003

Steady-state time window: 2540 – 2720 seconds

Inlet flow rate: 1.011 cm/sec (0.398 in./sec) 

Inlet mass flow rate: 0.048 kg/sec (0.106 lbm/sec) 

Inlet flow temperature: 328.1 K (130.9 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 72.35 kW 
A-783

Figure A-651 Inlet Flow Plot for Experiment 1679D 

Figure A-652 Inlet Temperature Plot for Experiment 1679D 
A-784

Figure A-653 System Pressure Plot for Experiment 1679D 

Figure A-654 Bundle Power Plot for Experiment 1679D 
A-785

Table A-261: Data Results for RBHT Test 1679 for Time Period 2540 to 2720 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.788 12.116 580.119 0.330 15.800 0.086 4.118 0.000 0.000 11.69 559.720 2891.69 138454.8604 0.795 0.791 0.799

* 120-133 3048-3378 383 0.743 17.366 831.512 0.361 17.285 0.154 7.374 2.161 103.493 14.69 703.361 2906.38 139158.2213 0.782 0.778 0.786

* 108-120 2743-3048 382 0.648 21.921 1049.585 0.296 14.173 0.192 9.193 6.283 300.834 15.15 725.386 2921.53 139883.6072 0.757 0.753 0.761

100-108 2540-2743 381 0.736 10.953 524.420 0.174 8.331 0.141 6.751 0.000 0.000 10.63 508.967 2932.16 140392.5744 0.744 0.740 0.748

97-100 2464-2540 380 0.635 5.692 272.529 0.060 2.873 0.051 2.442 0.000 0.000 5.581 267.220 2937.741 140659.7941 0.642 0.639 0.645

93-97 2362-2464 379 0.635 7.593 363.538 0.076 3.639 0.066 3.160 0.000 0.000 7.448 356.612 2945.189 141016.4062 0.641 0.638 0.644

* 85-93 2159-2362 378 0.459 22.487 1076.689 0.138 6.607 0.127 6.081 8.852 423.842 13.37 640.159 2958.559 141656.5653 0.678 0.675 0.681

81-85 2057-2159 377 0.709 6.050 289.687 0.062 2.969 0.061 2.921 0.000 0.000 5.925 283.691 2964.484 141940.2558 0.715 0.711 0.71978-81 1981-2057 376 0.471 8.247 394.869 0.043 2.059 0.045 2.155 0.000 0.000 8.157 390.559 2972.641 142330.815 0.476 0.474 0.47875-78 1905-1981 375 0.519 7.489 358.565 0.041 1.963 0.044 2.107 0.000 0.000 7.4 354.314 2980.041 142685.129 0.525 0.522 0.52872-75 1829-1905 374 0.479 8.122 388.901 0.039 1.867 0.043 2.059 0.000 0.000 8.04 384.957 2988.081 143070.0862 0.484 0.482 0.486

* 67-72 1702-1829 373 0.393 15.751 754.180 0.059 2.825 0.069 3.304 3.653 174.924 11.97 573.127 3000.051 143643.2129 0.539 0.536 0.542

63-67 1600-1702 372 0.589 8.538 408.794 0.042 2.011 0.053 2.538 0.000 0.000 8.437 403.966 3008.488 144047.1786 0.594 0.591 0.59760-63 1524-1600 371 0.408 9.218 441.368 0.029 1.389 0.039 1.867 0.000 0.000 9.147 437.961 3017.635 144485.1393 0.413 0.411 0.41557-60 1448-1524 370 0.374 9.748 466.731 0.027 1.293 0.038 1.819 0.000 0.000 9.681 463.529 3027.316 144948.6681 0.378 0.376 0.38053-57 1346-1448 369 0.356 13.388 641.040 0.032 1.532 0.048 2.298 0.000 0.000 13.31 637.286 3040.626 145585.9543 0.359 0.357 0.361

* 46-53 1168-1346 368 0.251 27.218 1303.216 0.045 2.155 0.081 3.878 3.032 145.185 24.06 1151.999 3064.686 146737.9533 0.338 0.336 0.340

43-46 1092-1168 367 0.314 10.693 511.987 0.015 0.718 0.033 1.580 0.000 0.000 10.64 509.446 3075.326 147247.3992 0.317 0.315 0.31937-43 940-1092 366 0.128 27.166 1300.730 0.021 1.005 0.063 3.016 0.000 0.000 27.07 1296.119 3102.396 148543.5178 0.131 0.130 0.132

* 25-37 635-940 365 0.033 60.237 2884.184 0.018 0.862 0.037 1.772 2.712 129.872 57.47 2751.678 3159.866 151295.1962 0.078 0.074 0.082

13-25 330-635 364 0.024 60.814 2911.785 0.001 0.048 0.000 0.000 0.000 0.000 60.79 2910.641 3220.656 154205.837 0.024 0.023 0.025

* 0-13 0-330 363 0.011 66.750 3196.001 0.001 0.048 0.000 0.000 0.079 3.776 66.67 3192.177 3287.326 157398.0137 0.012 0.011 0.013

Results for RBHT Test 1679

Valid Time Period 2540 to 2720 seconds

Collapsed Liquid Level = 83.861 inches = 2130.07 mm

 (Zosv) Onset of Significant Void = 31 inches = 787.5 mm

Table A-261 Data Results for RBHT Test 1679 for Time Period 2540 to 2720 seconds
A-786

Table A-262 Energy Balance Results for RBHT Test 1679D for Time Period 2540 to 2720 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2333.9311 7.3626 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

0.25 6.35 2463.5939 7.7716 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

0.50 12.70 2593.2567 8.1806 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

0.75 19.05 2722.9196 8.5896 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

1.00 25.40 2852.5824 8.9987 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

1.25 31.75 2982.2453 9.4077 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

1.50 38.10 3111.9081 9.8167 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

1.75 44.45 3241.5709 10.226 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

2.00 50.80 3371.2338 10.635 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

2.25 57.15 3500.8966 11.044 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

2.50 63.50 3630.5594 11.453 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

2.75 69.85 3760.2223 11.862 0.00E+00 0.00E+00 0.00E+00 3.41E-02 1.55E-02

3.00 76.20 3889.8851 12.271 1.03E-02 4.20E-01 1.91E-01 3.38E-02 1.53E-02

3.25 82.55 4019.548 12.68 2.22E-02 9.04E-01 4.10E-01 3.34E-02 1.51E-02

3.50 88.90 4149.2108 13.089 3.44E-02 1.40E+00 6.36E-01 3.30E-02 1.50E-02

3.75 95.25 4278.8736 13.498 4.70E-02 1.92E+00 8.70E-01 3.25E-02 1.48E-02

4.00 101.60 4408.5365 13.907 6.01E-02 2.45E+00 1.11E+00 3.21E-02 1.46E-02

4.25 107.95 4538.1993 14.316 7.35E-02 3.00E+00 1.36E+00 3.16E-02 1.44E-02

4.50 114.30 4667.8621 14.725 8.73E-02 3.56E+00 1.61E+00 3.12E-02 1.41E-02

4.75 120.65 4797.525 15.134 1.02E-01 4.14E+00 1.88E+00 3.07E-02 1.39E-02

5.00 127.00 4927.1878 15.543 1.16E-01 4.73E+00 2.15E+00 3.02E-02 1.37E-02

5.25 133.35 5056.8507 15.952 1.31E-01 5.34E+00 2.42E+00 2.97E-02 1.35E-02

5.50 139.70 5186.5135 16.361 1.46E-01 5.97E+00 2.71E+00 2.91E-02 1.32E-02

5.75 146.05 5316.1763 16.77 1.62E-01 6.61E+00 3.00E+00 2.86E-02 1.30E-02

6.00 152.40 5445.8392 17.179 1.78E-01 7.27E+00 3.30E+00 2.81E-02 1.27E-02

6.25 158.75 5575.502 17.588 1.95E-01 7.94E+00 3.60E+00 2.75E-02 1.25E-02

6.50 165.10 5705.1648 17.997 2.12E-01 8.63E+00 3.92E+00 2.69E-02 1.22E-02

6.75 171.45 5834.8277 18.406 2.29E-01 9.34E+00 4.24E+00 2.63E-02 1.19E-02

7.00 177.80 5964.4905 18.815 2.47E-01 1.01E+01 4.56E+00 2.57E-02 1.17E-02

7.25 184.15 6094.1534 19.224 2.65E-01 1.08E+01 4.90E+00 2.51E-02 1.14E-02

7.50 190.50 6223.8162 19.633 2.83E-01 1.15E+01 5.24E+00 2.45E-02 1.11E-02

7.75 196.85 6353.479 20.043 3.02E-01 1.23E+01 5.59E+00 2.38E-02 1.08E-02

8.00 203.20 6483.1419 20.452 3.21E-01 1.31E+01 5.94E+00 2.32E-02 1.05E-02

8.25 209.55 6612.8047 20.861 3.41E-01 1.39E+01 6.31E+00 2.25E-02 1.02E-02

8.50 215.90 6742.4675 21.27 3.61E-01 1.47E+01 6.68E+00 2.18E-02 9.90E-03

8.75 222.25 6872.1304 21.679 3.81E-01 1.56E+01 7.05E+00 2.11E-02 9.58E-03

9.00 228.60 7001.7932 22.088 4.02E-01 1.64E+01 7.44E+00 2.04E-02 9.26E-03

9.25 234.95 6612.8047 20.861 4.23E-01 1.72E+01 7.82E+00 1.97E-02 8.94E-03

9.50 241.30 6223.8162 19.633 4.42E-01 1.80E+01 8.17E+00 1.91E-02 8.65E-03

9.75 247.65 5834.8277 18.406 4.60E-01 1.88E+01 8.51E+00 1.84E-02 8.37E-03

10.00 254.00 5445.8392 17.179 4.77E-01 1.94E+01 8.82E+00 1.79E-02 8.10E-03

10.25 260.35 5056.8507 15.952 4.93E-01 2.01E+01 9.11E+00 1.73E-02 7.86E-03

10.50 266.70 4667.8621 14.725 5.07E-01 2.07E+01 9.38E+00 1.68E-02 7.63E-03

10.75 273.05 4278.8736 13.498 5.21E-01 2.12E+01 9.63E+00 1.64E-02 7.43E-03

11.00 279.40 3889.8851 12.271 5.33E-01 2.17E+01 9.86E+00 1.60E-02 7.24E-03

11.25 285.75 3500.8966 11.044 5.44E-01 2.22E+01 1.01E+01 1.56E-02 7.06E-03

11.50 292.10 3111.9081 9.8167 5.54E-01 2.26E+01 1.02E+01 1.52E-02 6.91E-03

11.75 298.45 2722.9196 8.5896 5.63E-01 2.29E+01 1.04E+01 1.49E-02 6.78E-03

12.00 304.80 2333.9311 7.3626 5.70E-01 2.32E+01 1.05E+01 1.47E-02 6.66E-03

Results for RBHT Test 1679

Valid Time Period 2540 to 2720 seconds
A-787

Figure A-655 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1679D for Time Period 2540 to 2720 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-788

RBHT Two-Phase Mixture Level and Uncovery Test INT-1679-E 

Test Conditions

Date: 7/21/2003

Steady-state time window: 3540 – 3960 seconds

Inlet flow rate: 0.508 cm/sec (0.200 in./sec) 

Inlet mass flow rate: 0.024 kg/sec (0.053 lbm/sec) 

Inlet flow temperature: 328.1 K (130.9 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 72.35 kW 
A-789

Figure A-656 Inlet Flow Plot for Experiment 1679E 

Figure A-657 Inlet Temperature Plot for Experiment 1679E 
A-790

Figure A-658 System Pressure Plot for Experiment 1679E 

Figure A-659 Bundle Power Plot for Experiment 1679E 
A-791

Table A-263: Data Results for RBHT Test 1679 for Time Period 3540 to 3960 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.968 1.833 87.776 0.080 3.830 0.000 0.000 0.000 0.000 1.751 83.838 2881.751 137978.9785 0.969 0.964 0.974

* 120-133 3048-3378 383 0.928 4.840 231.749 0.095 4.549 0.000 0.000 0.549 26.295 4.196 200.906 2885.947 138179.884 0.938 0.933 0.943

* 108-120 2743-3048 382 0.826 10.854 519.695 0.141 6.751 0.063 3.016 2.849 136.414 7.801 373.514 2893.748 138553.3979 0.875 0.871 0.879

100-108 2540-2743 381 0.839 6.673 319.525 0.091 4.357 0.071 3.399 0.000 0.000 6.509 311.653 2900.257 138865.0505 0.843 0.839 0.847

97-100 2464-2540 380 0.767 3.625 173.563 0.032 1.532 0.026 1.245 0.000 0.000 3.565 170.693 2903.822 139035.7436 0.771 0.767 0.775

93-97 2362-2464 379 0.759 5.001 239.458 0.041 1.963 0.033 1.580 0.000 0.000 4.923 235.715 2908.745 139271.4581 0.763 0.759 0.767

* 85-93 2159-2362 378 0.598 16.702 799.684 0.075 3.591 0.064 3.064 6.746 322.988 9.817 470.040 2918.562 139741.4986 0.764 0.760 0.768

81-85 2057-2159 377 0.761 4.960 237.468 0.034 1.628 0.031 1.484 0.000 0.000 4.894 234.326 2923.456 139975.8246 0.764 0.760 0.768

78-81 1981-2057 376 0.566 6.757 323.504 0.024 1.149 0.022 1.053 0.000 0.000 6.706 321.085 2930.162 140296.9096 0.569 0.566 0.572

75-78 1905-1981 375 0.585 6.466 309.579 0.023 1.101 0.022 1.053 0.000 0.000 6.419 307.343 2936.581 140604.253 0.588 0.585 0.591

72-75 1829-1905 374 0.547 7.053 337.678 0.022 1.053 0.021 1.005 0.000 0.000 7.009 335.593 2943.59 140939.8457 0.55 0.547 0.553

* 67-72 1702-1829 373 0.436 14.640 700.967 0.033 1.580 0.034 1.628 4.652 222.739 9.921 475.020 2953.511 141414.8657 0.618 0.615 0.621

63-67 1600-1702 372 0.683 6.580 315.050 0.024 1.149 0.027 1.293 0.000 0.000 6.528 312.562 2960.039 141727.4281 0.686 0.683 0.689

60-63 1524-1600 371 0.497 7.837 375.225 0.017 0.814 0.019 0.910 0.000 0.000 7.799 373.418 2967.838 142100.8462 0.499 0.497 0.501

57-60 1448-1524 370 0.443 8.683 415.756 0.016 0.766 0.019 0.910 0.000 0.000 8.644 413.877 2976.482 142514.7231 0.445 0.443 0.447

53-57 1346-1448 369 0.435 11.747 562.464 0.019 0.910 0.024 1.149 0.000 0.000 11.7 560.199 2988.182 143074.9221 0.437 0.435 0.439

* 46-53 1168-1346 368 0.334 24.196 1158.498 0.030 1.436 0.040 1.915 4.766 228.184 19.36 926.962 3007.542 144001.8839 0.467 0.465 0.469

43-46 1092-1168 367 0.496 7.852 375.971 0.011 0.527 0.017 0.814 0.000 0.000 7.821 374.471 3015.363 144376.3554 0.498 0.496 0.500

37-43 940-1092 366 0.427 17.849 854.637 0.019 0.910 0.032 1.532 0.000 0.000 17.79 851.790 3033.153 145228.1452 0.429 0.427 0.431

* 25-37 635-940 365 0.212 49.103 2351.061 0.025 1.197 0.057 2.729 2.231 106.818 46.79 2240.317 3079.943 147468.4624 0.249 0.248 0.250

13-25 330-635 364 0.068 58.056 2779.748 0.010 0.479 0.027 1.293 0.000 0.000 58 2777.055 3137.943 150245.5173 0.069 0.066 0.072

* 0-13 0-330 363 0.016 66.423 3180.336 0.000 0.000 0.000 0.000 1.263 60.458 65.16 3119.878 3203.103 153365.3948 0.035 0.033 0.037

 (Z2φ) Two-Phase Level (Dryout) = 127.40 inches = 3235.96 mm

 (S) Level Swell = 2.273

Results for RBHT Test 1679

Valid Time Period 3540 to 3960 seconds

Collapsed Liquid Level = 66.429 inches = 1687.29 mm

 (Zosv) Onset of Significant Void = 19 inches = 482.5 mm

Table A-263 Data Results for RBHT Test 1679 for Time Period 3540 to 3960 seconds
A-792

Table A-264 Energy Balance Results for RBHT Test 1679E for Time Period 3540 to 3960 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2336.4757 7.3706 0.00E+00 0.00E+00 0.00E+00 1.72E-02 7.78E-03

0.25 6.35 2466.2799 7.7801 0.00E+00 0.00E+00 0.00E+00 1.72E-02 7.78E-03

0.50 12.70 2596.0841 8.1895 0.00E+00 0.00E+00 0.00E+00 1.72E-02 7.78E-03

0.75 19.05 2725.8883 8.599 0.00E+00 0.00E+00 0.00E+00 1.72E-02 7.78E-03

1.00 25.40 2855.6925 9.0085 0.00E+00 0.00E+00 0.00E+00 1.72E-02 7.78E-03

1.25 31.75 2985.4967 9.418 0.00E+00 0.00E+00 0.00E+00 1.72E-02 7.78E-03

1.50 38.10 3115.3009 9.8274 0.00E+00 0.00E+00 0.00E+00 1.72E-02 7.78E-03

1.75 44.45 3245.1051 10.237 1.56E-02 3.19E-01 1.45E-01 1.69E-02 7.66E-03

2.00 50.80 3374.9094 10.646 3.54E-02 7.24E-01 3.28E-01 1.65E-02 7.51E-03

2.25 57.15 3504.7136 11.056 5.59E-02 1.14E+00 5.19E-01 1.62E-02 7.35E-03

2.50 63.50 3634.5178 11.465 7.72E-02 1.58E+00 7.17E-01 1.58E-02 7.18E-03

2.75 69.85 3764.322 11.875 9.93E-02 2.03E+00 9.22E-01 1.55E-02 7.01E-03

3.00 76.20 3894.1262 12.284 1.22E-01 2.50E+00 1.13E+00 1.51E-02 6.83E-03

3.25 82.55 4023.9304 12.694 1.46E-01 2.98E+00 1.35E+00 1.47E-02 6.65E-03

3.50 88.90 4153.7346 13.103 1.70E-01 3.48E+00 1.58E+00 1.42E-02 6.46E-03

3.75 95.25 4283.5388 13.513 1.95E-01 4.00E+00 1.81E+00 1.38E-02 6.26E-03

4.00 101.60 4413.343 13.922 2.21E-01 4.53E+00 2.05E+00 1.34E-02 6.06E-03

4.25 107.95 4543.1472 14.332 2.48E-01 5.07E+00 2.30E+00 1.29E-02 5.85E-03

4.50 114.30 4672.9514 14.741 2.76E-01 5.64E+00 2.56E+00 1.24E-02 5.64E-03

4.75 120.65 4802.7556 15.151 3.04E-01 6.22E+00 2.82E+00 1.19E-02 5.42E-03

5.00 127.00 4932.5598 15.56 3.33E-01 6.81E+00 3.09E+00 1.14E-02 5.19E-03

5.25 133.35 5062.364 15.97 3.63E-01 7.42E+00 3.37E+00 1.09E-02 4.96E-03

5.50 139.70 5192.1682 16.379 3.93E-01 8.05E+00 3.65E+00 1.04E-02 4.72E-03

5.75 146.05 5321.9724 16.789 4.25E-01 8.69E+00 3.94E+00 9.87E-03 4.48E-03

6.00 152.40 5451.7766 17.198 4.57E-01 9.35E+00 4.24E+00 9.32E-03 4.23E-03

6.25 158.75 5581.5809 17.607 4.90E-01 1.00E+01 4.55E+00 8.75E-03 3.97E-03

6.50 165.10 5711.3851 18.017 5.24E-01 1.07E+01 4.86E+00 8.17E-03 3.71E-03

6.75 171.45 5841.1893 18.426 5.58E-01 1.14E+01 5.18E+00 7.58E-03 3.44E-03

7.00 177.80 5970.9935 18.836 5.93E-01 1.21E+01 5.51E+00 6.98E-03 3.17E-03

7.25 184.15 6100.7977 19.245 6.29E-01 1.29E+01 5.84E+00 6.36E-03 2.89E-03

7.50 190.50 6230.6019 19.655 6.66E-01 1.36E+01 6.18E+00 5.73E-03 2.60E-03

7.75 196.85 6360.4061 20.064 7.04E-01 1.44E+01 6.53E+00 5.08E-03 2.31E-03

8.00 203.20 6490.2103 20.474 7.42E-01 1.52E+01 6.89E+00 4.43E-03 2.01E-03

8.25 209.55 6620.0145 20.883 7.81E-01 1.60E+01 7.25E+00 3.76E-03 1.70E-03

8.50 215.90 6749.8187 21.293 8.21E-01 1.68E+01 7.62E+00 3.07E-03 1.39E-03

8.75 222.25 6879.6229 21.702 8.62E-01 1.76E+01 8.00E+00 2.37E-03 1.08E-03

9.00 228.60 7009.4271 22.112 9.03E-01 1.85E+01 8.38E+00 1.66E-03 7.54E-04

9.25 234.95 6620.0145 20.883 9.44E-01 1.93E+01 8.76E+00 9.64E-04 4.37E-04

9.50 241.30 6230.6019 19.655 9.82E-01 2.01E+01 9.12E+00 3.07E-04 1.39E-04

9.75 247.65 5841.1893 18.426 1.00E+00 2.05E+01 9.28E+00 0.00E+00 0.00E+00

10.00 254.00 5451.7766 17.198 1.00E+00 2.05E+01 9.28E+00 0.00E+00 0.00E+00

10.25 260.35 5062.364 15.97 1.00E+00 2.05E+01 9.28E+00 0.00E+00 0.00E+00

10.50 266.70 4672.9514 14.741 1.00E+00 2.05E+01 9.28E+00 0.00E+00 0.00E+00

10.75 273.05 4283.5388 13.513 1.00E+00 2.05E+01 9.28E+00 0.00E+00 0.00E+00

11.00 279.40 3894.1262 12.284 1.00E+00 2.05E+01 9.28E+00 0.00E+00 0.00E+00

11.25 285.75 3504.7136 11.056 1.00E+00 2.05E+01 9.28E+00 0.00E+00 0.00E+00

11.50 292.10 3115.3009 9.8274 1.00E+00 2.05E+01 9.28E+00 0.00E+00 0.00E+00

11.75 298.45 2725.8883 8.599 1.00E+00 2.05E+01 9.28E+00 0.00E+00 0.00E+00

12.00 304.80 2336.4757 7.3706 1.00E+00 2.05E+01 9.28E+00 0.00E+00 0.00E+00

Results for RBHT Test 1679

Valid Time Period 3540 to 3960 seconds
A-793

Figure A-660 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1679E for Time Period 3540 to 3960 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-794

RBHT Two-Phase Mixture Level and Uncovery Test INT-1679-F 

Test Conditions

Date: 7/21/2003

Steady-state time window: 4200 – 4410 seconds

Inlet flow rate: 0.373 cm/sec (0.147 in./sec) 

Inlet mass flow rate: 0.018 kg/sec (0.039 lbm/sec) 

Inlet flow temperature: 328.1 K (130.9 oF)

Upper plenum pressure: 133.8 kPa (19.4 psia)

Bundle power: 72.35 kW 
A-795

Figure A-661 Inlet Flow Plot for Experiment 1679F 

Figure A-662 Inlet Temperature Plot for Experiment 1679F 
A-796

Figure A-663 System Pressure Plot for Experiment 1679F 

Figure A-664 Bundle Power Plot for Experiment 1679F 
A-797

Table A-265: Data Results for RBHT Test 1679 for Time Period 4200 to 4410 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.990 0.587 28.098 0.044 2.107 0.000 0.000 0.000 0.000 0.54 25.855 2880.54 137920.9955 0.991 0.986 0.996

* 120-133 3048-3378 383 0.975 1.709 81.808 0.052 2.490 0.000 0.000 0.152 7.259 1.505 72.060 2882.045 137993.0553 0.978 0.973 0.983

* 108-120 2743-3048 382 0.944 3.516 168.341 0.048 2.298 0.000 0.000 0.479 22.929 2.989 143.114 2885.034 138136.1694 0.952 0.947 0.957

100-108 2540-2743 381 0.938 2.560 122.588 0.032 1.532 0.000 0.000 0.000 0.000 2.526 120.946 2887.56 138257.1149 0.939 0.934 0.944

97-100 2464-2540 380 0.851 2.316 110.901 0.012 0.575 0.000 0.000 0.000 0.000 2.301 110.172 2889.861 138367.2874 0.852 0.848 0.856

93-97 2362-2464 379 0.817 3.812 182.515 0.022 1.053 0.001 0.048 0.000 0.000 3.786 181.275 2893.647 138548.562 0.818 0.814 0.822

* 85-93 2159-2362 378 0.672 13.612 651.733 0.053 2.538 0.047 2.250 5.238 250.783 8.274 396.161 2901.921 138944.7233 0.801 0.797 0.805

81-85 2057-2159 377 0.782 4.539 217.327 0.025 1.197 0.023 1.101 0.000 0.000 4.489 214.934 2906.41 139159.6577 0.784 0.780 0.788

78-81 1981-2057 376 0.632 5.733 274.518 0.018 0.862 0.017 0.814 0.000 0.000 5.696 272.726 2912.106 139432.3837 0.634 0.631 0.637

75-78 1905-1981 375 0.624 5.853 280.238 0.017 0.814 0.016 0.766 0.000 0.000 5.817 278.519 2917.923 139710.9031 0.627 0.624 0.630

72-75 1829-1905 374 0.585 6.461 309.331 0.016 0.766 0.016 0.766 0.000 0.000 6.427 307.726 2924.35 140018.6296 0.587 0.584 0.590

* 67-72 1702-1829 373 0.446 14.386 688.783 0.025 1.197 0.026 1.245 4.551 217.880 9.784 468.460 2934.134 140487.09 0.623 0.620 0.626

63-67 1600-1702 372 0.657 7.125 341.159 0.019 0.910 0.020 0.958 0.000 0.000 7.085 339.232 2941.219 140826.3216 0.659 0.656 0.662

60-63 1524-1600 371 0.485 8.029 384.425 0.013 0.622 0.014 0.670 0.000 0.000 7.998 382.946 2949.217 141209.2679 0.487 0.485 0.489

57-60 1448-1524 370 0.427 8.922 427.194 0.012 0.575 0.014 0.670 0.000 0.000 8.895 425.895 2958.112 141635.1628 0.429 0.427 0.431

53-57 1346-1448 369 0.417 12.111 579.870 0.015 0.718 0.018 0.862 0.000 0.000 12.07 577.915 2970.182 142213.0775 0.419 0.417 0.421

* 46-53 1168-1346 368 0.307 25.182 1205.743 0.023 1.101 0.030 1.436 5.359 256.612 19.77 946.593 2989.952 143159.6702 0.456 0.454 0.458

43-46 1092-1168 367 0.492 7.920 379.203 0.009 0.431 0.012 0.575 0.000 0.000 7.896 378.063 2997.848 143537.7327 0.493 0.491 0.495

37-43 940-1092 366 0.427 17.855 854.886 0.015 0.718 0.023 1.101 0.000 0.000 17.81 852.747 3015.658 144390.4801 0.428 0.426 0.430

* 25-37 635-940 365 0.251 46.678 2234.938 0.022 1.053 0.042 2.011 2.094 100.245 44.52 2131.629 3060.178 146522.1091 0.285 0.284 0.286

13-25 330-635 364 0.142 53.476 2560.431 0.010 0.479 0.034 1.628 0.000 0.000 53.42 2557.763 3113.598 149079.8724 0.143 0.142 0.144

* 0-13 0-330 363 0.020 66.179 3168.649 0.000 0.000 0.000 0.000 3.499 167.514 62.68 3001.135 3176.278 152081.0069 0.071 0.067 0.075

 (Z2φ) Two-Phase Level (Dryout) = 103.20 inches = 2621.28 mm

 (S) Level Swell = 2.002

Results for RBHT Test 1679

Valid Time Period 4200 to 4410 seconds

Collapsed Liquid Level = 58.549 inches = 1487.14 mm

 (Zosv) Onset of Significant Void = 6.5 inches = 165 mm

Table A-265 Data Results for RBHT Test 1679 for Time Period 4200 to 4410 seconds
A-798

Table A-266 Energy Balance Results for RBHT Test 1679F for Time Period 4200 to 4410 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 2338.3191 7.3764 0.00E+00 0.00E+00 0.00E+00 1.26E-02 5.71E-03

0.25 6.35 2468.2257 7.7862 0.00E+00 0.00E+00 0.00E+00 1.26E-02 5.71E-03

0.50 12.70 2598.1323 8.196 0.00E+00 0.00E+00 0.00E+00 1.26E-02 5.71E-03

0.75 19.05 2728.039 8.6058 0.00E+00 0.00E+00 0.00E+00 1.26E-02 5.71E-03

1.00 25.40 2857.9456 9.0156 0.00E+00 0.00E+00 0.00E+00 1.26E-02 5.71E-03

1.25 31.75 2987.8522 9.4254 8.26E-03 1.25E-01 5.69E-02 1.25E-02 5.66E-03

1.50 38.10 3117.7588 9.8352 3.31E-02 5.02E-01 2.28E-01 1.22E-02 5.52E-03

1.75 44.45 3247.6654 10.245 5.89E-02 8.95E-01 4.06E-01 1.18E-02 5.37E-03

2.00 50.80 3377.572 10.655 8.59E-02 1.30E+00 5.91E-01 1.15E-02 5.22E-03

2.25 57.15 3507.4787 11.065 1.14E-01 1.73E+00 7.84E-01 1.12E-02 5.06E-03

2.50 63.50 3637.3853 11.474 1.43E-01 2.17E+00 9.84E-01 1.08E-02 4.89E-03

2.75 69.85 3767.2919 11.884 1.73E-01 2.63E+00 1.19E+00 1.04E-02 4.72E-03

3.00 76.20 3897.1985 12.294 2.04E-01 3.10E+00 1.41E+00 1.00E-02 4.55E-03

3.25 82.55 4027.1051 12.704 2.36E-01 3.59E+00 1.63E+00 9.62E-03 4.36E-03

3.50 88.90 4157.0117 13.114 2.70E-01 4.09E+00 1.86E+00 9.20E-03 4.17E-03

3.75 95.25 4286.9184 13.523 3.04E-01 4.61E+00 2.09E+00 8.76E-03 3.98E-03

4.00 101.60 4416.825 13.933 3.39E-01 5.15E+00 2.34E+00 8.32E-03 3.77E-03

4.25 107.95 4546.7316 14.343 3.76E-01 5.70E+00 2.59E+00 7.86E-03 3.57E-03

4.50 114.30 4676.6382 14.753 4.13E-01 6.27E+00 2.85E+00 7.39E-03 3.35E-03

4.75 120.65 4806.5448 15.163 4.52E-01 6.86E+00 3.11E+00 6.90E-03 3.13E-03

5.00 127.00 4936.4514 15.572 4.91E-01 7.46E+00 3.38E+00 6.40E-03 2.91E-03

5.25 133.35 5066.3581 15.982 5.32E-01 8.08E+00 3.66E+00 5.89E-03 2.67E-03

5.50 139.70 5196.2647 16.392 5.74E-01 8.71E+00 3.95E+00 5.37E-03 2.43E-03

5.75 146.05 5326.1713 16.802 6.16E-01 9.36E+00 4.25E+00 4.83E-03 2.19E-03

6.00 152.40 5456.0779 17.212 6.60E-01 1.00E+01 4.55E+00 4.28E-03 1.94E-03

6.25 158.75 5585.9845 17.621 7.05E-01 1.07E+01 4.86E+00 3.71E-03 1.68E-03

6.50 165.10 5715.8912 18.031 7.51E-01 1.14E+01 5.17E+00 3.13E-03 1.42E-03

6.75 171.45 5845.7978 18.441 7.98E-01 1.21E+01 5.50E+00 2.54E-03 1.15E-03

7.00 177.80 5975.7044 18.851 8.46E-01 1.28E+01 5.83E+00 1.94E-03 8.79E-04

7.25 184.15 6105.611 19.261 8.95E-01 1.36E+01 6.16E+00 1.32E-03 5.99E-04

7.50 190.50 6235.5176 19.67 9.45E-01 1.44E+01 6.51E+00 6.89E-04 3.12E-04

7.75 196.85 6365.4242 20.08 9.97E-01 1.51E+01 6.86E+00 4.41E-05 2.00E-05

8.00 203.20 6495.3309 20.49 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

8.25 209.55 6625.2375 20.9 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

8.50 215.90 6755.1441 21.31 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

8.75 222.25 6885.0507 21.719 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

9.00 228.60 7014.9573 22.129 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

9.25 234.95 6625.2375 20.9 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

9.50 241.30 6235.5176 19.67 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

9.75 247.65 5845.7978 18.441 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

10.00 254.00 5456.0779 17.212 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

10.25 260.35 5066.3581 15.982 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

10.50 266.70 4676.6382 14.753 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

10.75 273.05 4286.9184 13.523 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

11.00 279.40 3897.1985 12.294 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

11.25 285.75 3507.4787 11.065 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

11.50 292.10 3117.7588 9.8352 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

11.75 298.45 2728.039 8.6058 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

12.00 304.80 2338.3191 7.3764 1.00E+00 1.52E+01 6.89E+00 0.00E+00 0.00E+00

Results for RBHT Test 1679

Valid Time Period 4200 to 4410 seconds
A-799

Figure A-665 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1679F for Time Period 4200 to 4410 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-800

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-A 

Test Conditions

Date: 7/23/2003

Steady-state time window: 1550 – 1607 seconds

Inlet flow rate: 4.054 cm/sec (1.596 in./sec) 

Inlet mass flow rate: 0.191 kg/sec (0.422 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-801

Figure A-666 Inlet Flow Plot for Experiment 1683A 

Figure A-667 Inlet Temperature Plot for Experiment 1683A 
A-802

Figure A-668 System Pressure Plot for Experiment 1683A 

Figure A-669 Bundle Power Plot for Experiment 1683A 
A-803

Table A-267: Data Results for RBHT Test 1683 for Time Period 1550 to 1607 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.740 14.858 711.410 1.314 62.915 0.366 17.524 0.000 0.000 13.17 630.583 5773.17 276420.8633 0.769 0.765 0.773

* 120-133 3048-3378 383 0.703 20.062 960.566 1.431 68.517 0.653 31.266 2.198 105.233 15.78 755.550 5788.95 277176.4138 0.766 0.762 0.770

* 108-120 2743-3048 382 0.647 21.983 1052.569 1.157 55.397 0.816 39.070 5.050 241.813 14.96 716.289 5803.91 277892.7024 0.76 0.756 0.764

100-108 2540-2743 381 0.727 11.363 544.064 0.662 31.697 0.597 28.585 0.000 0.000 10.1 483.591 5814.01 278376.293 0.757 0.753 0.761

97-100 2464-2540 380 0.636 5.666 271.286 0.224 10.725 0.216 10.342 0.000 0.000 5.225 250.174 5819.235 278626.4673 0.665 0.662 0.668

93-97 2362-2464 379 0.631 7.671 367.268 0.278 13.311 0.281 13.454 0.000 0.000 7.107 340.285 5826.342 278966.7523 0.658 0.655 0.661

* 85-93 2159-2362 378 0.457 22.544 1079.424 0.486 23.270 0.540 25.855 7.298 349.442 14.22 680.857 5840.562 279647.6096 0.658 0.655 0.661

81-85 2057-2159 377 0.635 7.582 363.041 0.207 9.911 0.259 12.401 0.000 0.000 7.116 340.716 5847.678 279988.3255 0.657 0.654 0.66078-81 1981-2057 376 0.536 7.229 346.132 0.139 6.655 0.189 9.049 0.000 0.000 6.901 330.422 5854.579 280318.7471 0.557 0.554 0.56075-78 1905-1981 375 0.444 8.657 414.513 0.125 5.985 0.185 8.858 0.000 0.000 8.346 399.609 5862.925 280718.3558 0.464 0.462 0.46672-75 1829-1905 374 0.369 9.831 470.710 0.110 5.267 0.181 8.666 0.000 0.000 9.537 456.634 5872.462 281174.9898 0.388 0.386 0.390

* 67-72 1702-1829 373 0.310 17.912 857.621 0.149 7.134 0.291 13.933 -0.058 -2.787 17.53 839.341 5889.992 282014.3307 0.325 0.323 0.327

63-67 1600-1702 372 0.247 15.648 749.206 0.085 4.070 0.225 10.773 0.000 0.000 15.33 734.004 5905.322 282748.335 0.262 0.261 0.26360-63 1524-1600 371 0.049 14.822 709.670 0.039 1.867 0.164 7.852 0.000 0.000 14.61 699.531 5919.932 283447.8656 0.062 0.059 0.06557-60 1448-1524 370 0.071 14.479 693.258 0.017 0.814 0.091 4.357 0.000 0.000 14.37 688.039 5934.302 284135.9049 0.077 0.073 0.08153-57 1346-1448 369 0.056 19.610 938.933 0.003 0.144 0.000 0.000 0.000 0.000 19.6 938.453 5953.902 285074.3579 0.056 0.053 0.059

* 46-53 1168-1346 368 0.053 34.432 1648.602 0.006 0.287 0.000 0.000 -0.184 -8.821 34.61 1657.136 5988.512 286731.4936 0.048 0.046 0.050

43-46 1092-1168 367 0.039 14.978 717.130 0.002 0.096 0.000 0.000 0.000 0.000 14.97 716.767 6003.482 287448.2611 0.039 0.037 0.04137-43 940-1092 366 0.039 29.950 1434.011 0.005 0.239 0.000 0.000 0.000 0.000 29.93 1433.056 6033.412 288881.3171 0.039 0.037 0.041

* 25-37 635-940 365 0.032 60.336 2888.908 0.010 0.479 0.000 0.000 0.186 8.911 60.14 2879.519 6093.552 291760.8358 0.035 0.033 0.037

13-25 330-635 364 0.030 60.450 2894.379 0.010 0.479 0.000 0.000 0.000 0.000 60.42 2892.925 6153.972 294653.7609 0.03 0.029 0.032

* 0-13 0-330 363 0.020 66.189 3169.146 0.011 0.527 0.000 0.000 -0.292 -13.981 66.47 3182.601 6220.442 297836.3616 0.015 0.014 0.016

Results for RBHT Test 1683

Valid Time Period 1550 to 1607 seconds

Collapsed Liquid Level = 93.461 inches = 2373.91 mm

 (Zosv) Onset of Significant Void = 55 inches = 1397 mm

Table A-267 Data Results for RBHT Test 1683 for Time Period 1550 to 1607 seconds
A-804

Table A-268 Energy Balance Results for RBHT Test 1683A for Time Period 1550 to 1607 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4658.2943 14.695 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

0.25 6.35 4917.0884 15.511 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

0.50 12.70 5175.8826 16.328 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

0.75 19.05 5434.6767 17.144 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

1.00 25.40 5693.4708 17.96 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

1.25 31.75 5952.2649 18.777 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

1.50 38.10 6211.0591 19.593 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

1.75 44.45 6469.8532 20.41 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

2.00 50.80 6728.6473 21.226 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

2.25 57.15 6987.4414 22.042 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

2.50 63.50 7246.2356 22.859 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

2.75 69.85 7505.0297 23.675 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

3.00 76.20 7763.8238 24.492 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

3.25 82.55 8022.618 25.308 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

3.50 88.90 8281.4121 26.124 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

3.75 95.25 8540.2062 26.941 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

4.00 101.60 8799.0003 27.757 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

4.25 107.95 9057.7945 28.573 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

4.50 114.30 9316.5886 29.39 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

4.75 120.65 9575.3827 30.206 0.00E+00 0.00E+00 0.00E+00 1.38E-01 6.25E-02

5.00 127.00 9834.1769 31.023 4.31E-03 3.64E-01 1.65E-01 1.37E-01 6.22E-02

5.25 133.35 10092.971 31.839 1.21E-02 1.02E+00 4.62E-01 1.36E-01 6.17E-02

5.50 139.70 10351.765 32.655 2.00E-02 1.69E+00 7.67E-01 1.35E-01 6.12E-02

5.75 146.05 10610.559 33.472 2.82E-02 2.38E+00 1.08E+00 1.34E-01 6.07E-02

6.00 152.40 10869.353 34.288 3.66E-02 3.09E+00 1.40E+00 1.33E-01 6.02E-02

6.25 158.75 11128.147 35.105 4.51E-02 3.81E+00 1.73E+00 1.32E-01 5.97E-02

6.50 165.10 11386.942 35.921 5.39E-02 4.55E+00 2.06E+00 1.30E-01 5.91E-02

6.75 171.45 11645.736 36.737 6.28E-02 5.30E+00 2.41E+00 1.29E-01 5.86E-02

7.00 177.80 11904.53 37.554 7.20E-02 6.08E+00 2.76E+00 1.28E-01 5.80E-02

7.25 184.15 12163.324 38.37 8.14E-02 6.87E+00 3.12E+00 1.27E-01 5.74E-02

7.50 190.50 12422.118 39.186 9.09E-02 7.68E+00 3.48E+00 1.25E-01 5.68E-02

7.75 196.85 12680.912 40.003 1.01E-01 8.50E+00 3.86E+00 1.24E-01 5.62E-02

8.00 203.20 12939.706 40.819 1.11E-01 9.34E+00 4.24E+00 1.23E-01 5.56E-02

8.25 209.55 13198.501 41.636 1.21E-01 1.02E+01 4.63E+00 1.21E-01 5.49E-02

8.50 215.90 13457.295 42.452 1.31E-01 1.11E+01 5.02E+00 1.20E-01 5.43E-02

8.75 222.25 13716.089 43.268 1.42E-01 1.20E+01 5.43E+00 1.18E-01 5.36E-02

9.00 228.60 13974.883 44.085 1.53E-01 1.29E+01 5.84E+00 1.17E-01 5.30E-02

9.25 234.95 13198.501 41.636 1.63E-01 1.38E+01 6.25E+00 1.15E-01 5.23E-02

9.50 241.30 12422.118 39.186 1.73E-01 1.46E+01 6.63E+00 1.14E-01 5.17E-02

9.75 247.65 11645.736 36.737 1.83E-01 1.54E+01 6.99E+00 1.13E-01 5.11E-02

10.00 254.00 10869.353 34.288 1.91E-01 1.61E+01 7.32E+00 1.11E-01 5.05E-02

10.25 260.35 10092.971 31.839 1.99E-01 1.68E+01 7.64E+00 1.10E-01 5.00E-02

10.50 266.70 9316.5886 29.39 2.07E-01 1.75E+01 7.93E+00 1.09E-01 4.96E-02

10.75 273.05 8540.2062 26.941 2.14E-01 1.81E+01 8.19E+00 1.08E-01 4.91E-02

11.00 279.40 7763.8238 24.492 2.20E-01 1.86E+01 8.44E+00 1.07E-01 4.87E-02

11.25 285.75 6987.4414 22.042 2.26E-01 1.91E+01 8.65E+00 1.07E-01 4.84E-02

11.50 292.10 6211.0591 19.593 2.31E-01 1.95E+01 8.85E+00 1.06E-01 4.81E-02

11.75 298.45 5434.6767 17.144 2.36E-01 1.99E+01 9.02E+00 1.05E-01 4.78E-02

12.00 304.80 4658.2943 14.695 2.40E-01 2.02E+01 9.17E+00 1.05E-01 4.75E-02

Results for RBHT Test 1683

Valid Time Period 1550 to 1607 seconds
A-805

Figure A-670 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683A for Time Period 1550 to 1607 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-806

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-B 

Test Conditions

Date: 7/23/2003

Steady-state time window: 2185 – 2220 seconds

Inlet flow rate: 4.105 cm/sec (1.616 in./sec) 

Inlet mass flow rate: 0.194 kg/sec (0.427 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-807

Figure A-671 Inlet Flow Plot for Experiment 1683B 

Figure A-672 Inlet Temperature Plot for Experiment 1683B 
A-808

Figure A-673 System Pressure Plot for Experiment 1683B 

Figure A-674 Bundle Power Plot for Experiment 1683B 
A-809

Table A-269: Data Results for RBHT Test 1683 for Time Period 2185 to 2220 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.743 14.708 704.199 1.329 63.633 0.370 17.716 0.000 0.000 13 622.443 5773 276412.7237 0.772 0.768 0.776

* 120-133 3048-3378 383 0.702 20.124 963.550 1.447 69.283 0.661 31.649 2.406 115.207 15.61 747.411 5788.61 277160.1345 0.769 0.765 0.773

* 108-120 2743-3048 382 0.647 21.973 1052.072 1.169 55.972 0.825 39.501 5.109 244.619 14.87 711.979 5803.48 277872.1139 0.761 0.757 0.765

100-108 2540-2743 381 0.727 11.337 542.820 0.669 32.032 0.604 28.920 0.000 0.000 10.06 481.675 5813.54 278353.7893 0.758 0.754 0.762

97-100 2464-2540 380 0.639 5.630 269.545 0.226 10.821 0.219 10.486 0.000 0.000 5.185 248.259 5818.725 278602.0484 0.667 0.664 0.670

93-97 2362-2464 379 0.627 7.754 371.246 0.281 13.454 0.285 13.646 0.000 0.000 7.186 344.068 5825.911 278946.1159 0.654 0.651 0.657

* 85-93 2159-2362 378 0.458 22.508 1077.684 0.490 23.461 0.546 26.143 7.212 345.307 14.26 682.772 5840.171 279628.8884 0.657 0.654 0.660

81-85 2057-2159 377 0.637 7.546 361.300 0.208 9.959 0.262 12.545 0.000 0.000 7.075 338.753 5847.246 279967.6412 0.659 0.656 0.66278-81 1981-2057 376 0.536 7.224 345.883 0.140 6.703 0.191 9.145 0.000 0.000 6.889 329.847 5854.135 280297.4883 0.558 0.555 0.56175-78 1905-1981 375 0.441 8.704 416.751 0.125 5.985 0.187 8.954 0.000 0.000 8.388 401.620 5862.523 280699.1079 0.462 0.460 0.46472-75 1829-1905 374 0.370 9.815 469.964 0.110 5.267 0.183 8.762 0.000 0.000 9.518 455.724 5872.041 281154.8322 0.389 0.387 0.391

* 67-72 1702-1829 373 0.312 17.865 855.383 0.148 7.086 0.295 14.125 -0.018 -0.859 17.44 835.032 5889.481 281989.8639 0.328 0.326 0.330

63-67 1600-1702 372 0.252 15.533 743.736 0.083 3.974 0.227 10.869 0.000 0.000 15.22 728.738 5904.701 282718.6014 0.267 0.266 0.26860-63 1524-1600 371 0.053 14.754 706.437 0.037 1.772 0.166 7.948 0.000 0.000 14.55 696.658 5919.251 283415.2591 0.066 0.063 0.06957-60 1448-1524 370 0.070 14.489 693.756 0.015 0.718 0.074 3.543 0.000 0.000 14.4 689.476 5933.651 284104.7348 0.076 0.072 0.08053-57 1346-1448 369 0.056 19.610 938.933 0.003 0.144 0.000 0.000 0.000 0.000 19.6 938.453 5953.251 285043.1879 0.056 0.053 0.059

* 46-53 1168-1346 368 0.053 34.437 1648.851 0.006 0.287 0.000 0.000 -0.189 -9.051 34.62 1657.614 5987.871 286700.8024 0.047 0.045 0.049

43-46 1092-1168 367 0.039 14.978 717.130 0.003 0.144 0.000 0.000 0.000 0.000 14.97 716.767 6002.841 287417.5698 0.039 0.037 0.04137-43 940-1092 366 0.040 29.908 1432.021 0.005 0.239 0.000 0.000 0.000 0.000 29.89 1431.141 6032.731 288848.7107 0.04 0.038 0.042

* 25-37 635-940 365 0.032 60.341 2889.157 0.010 0.479 0.000 0.000 0.231 11.075 60.1 2877.603 6092.831 291726.3141 0.035 0.033 0.037

13-25 330-635 364 0.030 60.445 2894.130 0.010 0.479 0.000 0.000 0.000 0.000 60.42 2892.925 6153.251 294619.2393 0.03 0.029 0.032

* 0-13 0-330 363 0.020 66.189 3169.146 0.011 0.527 0.000 0.000 -0.292 -13.981 66.47 3182.601 6219.721 297801.8399 0.015 0.014 0.016

Results for RBHT Test 1683

Valid Time Period 2185 to 2220 seconds

Collapsed Liquid Level = 93.743 inches = 2381.06 mm

 (Zosv) Onset of Significant Void = 55 inches = 1397 mm

Table A-269 Data Results for RBHT Test 1683 for Time Period 2185 to 2220 seconds
A-810

Table A-270 Energy Balance Results for RBHT Test 1683B for Time Period 2185 to 2220 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4656.9813 14.691 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

0.25 6.35 4915.7025 15.507 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

0.50 12.70 5174.4237 16.323 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

0.75 19.05 5433.1449 17.139 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

1.00 25.40 5691.8661 17.955 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

1.25 31.75 5950.5873 18.772 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

1.50 38.10 6209.3085 19.588 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

1.75 44.45 6468.0296 20.404 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

2.00 50.80 6726.7508 21.22 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

2.25 57.15 6985.472 22.036 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

2.50 63.50 7244.1932 22.852 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

2.75 69.85 7502.9144 23.668 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

3.00 76.20 7761.6356 24.485 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

3.25 82.55 8020.3568 25.301 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

3.50 88.90 8279.0779 26.117 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

3.75 95.25 8537.7991 26.933 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

4.00 101.60 8796.5203 27.749 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

4.25 107.95 9055.2415 28.565 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

4.50 114.30 9313.9627 29.382 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

4.75 120.65 9572.6839 30.198 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.33E-02

5.00 127.00 9831.4051 31.014 3.43E-03 2.93E-01 1.33E-01 1.39E-01 6.31E-02

5.25 133.35 10090.126 31.83 1.11E-02 9.47E-01 4.29E-01 1.38E-01 6.26E-02

5.50 139.70 10348.847 32.646 1.89E-02 1.62E+00 7.34E-01 1.37E-01 6.22E-02

5.75 146.05 10607.569 33.462 2.70E-02 2.31E+00 1.05E+00 1.36E-01 6.16E-02

6.00 152.40 10866.29 34.278 3.52E-02 3.01E+00 1.37E+00 1.35E-01 6.11E-02

6.25 158.75 11125.011 35.095 4.37E-02 3.73E+00 1.69E+00 1.34E-01 6.06E-02

6.50 165.10 11383.732 35.911 5.23E-02 4.47E+00 2.03E+00 1.32E-01 6.00E-02

6.75 171.45 11642.453 36.727 6.12E-02 5.23E+00 2.37E+00 1.31E-01 5.95E-02

7.00 177.80 11901.175 37.543 7.02E-02 6.00E+00 2.72E+00 1.30E-01 5.89E-02

7.25 184.15 12159.896 38.359 7.94E-02 6.79E+00 3.08E+00 1.29E-01 5.83E-02

7.50 190.50 12418.617 39.175 8.89E-02 7.60E+00 3.45E+00 1.27E-01 5.77E-02

7.75 196.85 12677.338 39.992 9.85E-02 8.42E+00 3.82E+00 1.26E-01 5.71E-02

8.00 203.20 12936.059 40.808 1.08E-01 9.26E+00 4.20E+00 1.25E-01 5.65E-02

8.25 209.55 13194.78 41.624 1.18E-01 1.01E+01 4.59E+00 1.23E-01 5.58E-02

8.50 215.90 13453.502 42.44 1.29E-01 1.10E+01 4.98E+00 1.22E-01 5.52E-02

8.75 222.25 13712.223 43.256 1.39E-01 1.19E+01 5.39E+00 1.20E-01 5.45E-02

9.00 228.60 13970.944 44.072 1.50E-01 1.28E+01 5.80E+00 1.19E-01 5.39E-02

9.25 234.95 13194.78 41.624 1.60E-01 1.37E+01 6.21E+00 1.17E-01 5.32E-02

9.50 241.30 12418.617 39.175 1.70E-01 1.45E+01 6.59E+00 1.16E-01 5.26E-02

9.75 247.65 11642.453 36.727 1.79E-01 1.53E+01 6.95E+00 1.15E-01 5.20E-02

10.00 254.00 10866.29 34.278 1.88E-01 1.60E+01 7.28E+00 1.13E-01 5.15E-02

10.25 260.35 10090.126 31.83 1.96E-01 1.67E+01 7.59E+00 1.12E-01 5.09E-02

10.50 266.70 9313.9627 29.382 2.03E-01 1.74E+01 7.88E+00 1.11E-01 5.05E-02

10.75 273.05 8537.7991 26.933 2.10E-01 1.80E+01 8.15E+00 1.10E-01 5.00E-02

11.00 279.40 7761.6356 24.485 2.17E-01 1.85E+01 8.39E+00 1.09E-01 4.96E-02

11.25 285.75 6985.472 22.036 2.22E-01 1.90E+01 8.61E+00 1.09E-01 4.93E-02

11.50 292.10 6209.3085 19.588 2.27E-01 1.94E+01 8.81E+00 1.08E-01 4.90E-02

11.75 298.45 5433.1449 17.139 2.32E-01 1.98E+01 8.98E+00 1.07E-01 4.87E-02

12.00 304.80 4656.9813 14.691 2.36E-01 2.01E+01 9.13E+00 1.07E-01 4.84E-02

Results for RBHT Test 1683

Valid Time Period 2185 to 2220 seconds
A-811

Figure A-675 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683B for Time Period 2185 to 2220 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-812

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-C 

Test Conditions

Date: 7/23/2003

Steady-state time window: 2530 – 2600 seconds

Inlet flow rate: 4.122 cm/sec (1.623 in./sec) 

Inlet mass flow rate: 0.195 kg/sec (0.429 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-813

Figure A-676 Inlet Flow Plot for Experiment 1683C 

Figure A-677 Inlet Temperature Plot for Experiment 1683C 
A-814

Figure A-678 System Pressure Plot for Experiment 1683C 

Figure A-679 Bundle Power Plot for Experiment 1683C 
A-815

Table A-271: Data Results for RBHT Test 1683 for Time Period 2530 to 2600 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.740 14.853 711.162 1.335 63.920 0.372 17.811 0.000 0.000 13.14 629.147 5773.14 276419.4269 0.77 0.766 0.774

* 120-133 3048-3378 383 0.702 20.093 962.058 1.454 69.618 0.665 31.840 2.214 106.007 15.76 754.593 5788.9 277174.0197 0.767 0.763 0.771

* 108-120 2743-3048 382 0.645 22.098 1058.040 1.174 56.211 0.830 39.741 5.124 245.320 14.97 716.767 5803.87 277890.7872 0.76 0.756 0.764

100-108 2540-2743 381 0.726 11.405 546.053 0.672 32.176 0.607 29.063 0.000 0.000 10.12 484.548 5813.99 278375.3354 0.756 0.752 0.760

97-100 2464-2540 380 0.636 5.676 271.783 0.227 10.869 0.220 10.534 0.000 0.000 5.228 250.318 5819.218 278625.6534 0.664 0.661 0.667

93-97 2362-2464 379 0.631 7.676 367.516 0.282 13.502 0.286 13.694 0.000 0.000 7.104 340.141 5826.322 278965.7947 0.658 0.655 0.661

* 85-93 2159-2362 378 0.457 22.575 1080.916 0.492 23.557 0.549 26.286 7.304 349.737 14.23 681.336 5840.552 279647.1308 0.657 0.654 0.660

81-85 2057-2159 377 0.634 7.603 364.035 0.209 10.007 0.263 12.593 0.000 0.000 7.128 341.290 5847.68 279988.4213 0.657 0.654 0.66078-81 1981-2057 376 0.531 7.312 350.110 0.140 6.703 0.192 9.193 0.000 0.000 6.976 334.013 5854.656 280322.4339 0.552 0.549 0.55575-78 1905-1981 375 0.443 8.678 415.507 0.125 5.985 0.188 9.001 0.000 0.000 8.364 400.470 5863.02 280722.9044 0.463 0.461 0.46572-75 1829-1905 374 0.374 9.758 467.228 0.110 5.267 0.184 8.810 0.000 0.000 9.46 452.947 5872.48 281175.8516 0.393 0.391 0.395

* 67-72 1702-1829 373 0.309 17.953 859.611 0.148 7.086 0.297 14.220 -0.002 -0.079 17.51 838.383 5889.99 282014.2349 0.326 0.324 0.328

63-67 1600-1702 372 0.243 15.720 752.688 0.083 3.974 0.229 10.965 0.000 0.000 15.4 737.356 5905.39 282751.5909 0.258 0.257 0.25960-63 1524-1600 371 0.050 14.801 708.675 0.036 1.724 0.166 7.948 0.000 0.000 14.59 698.573 5919.98 283450.1638 0.063 0.060 0.06657-60 1448-1524 370 0.070 14.495 694.004 0.015 0.718 0.068 3.256 0.000 0.000 14.41 689.955 5934.39 284140.1183 0.075 0.071 0.07953-57 1346-1448 369 0.056 19.615 939.181 0.003 0.144 0.000 0.000 0.000 0.000 19.61 938.932 5954 285079.0502 0.056 0.053 0.059

* 46-53 1168-1346 368 0.053 34.437 1648.851 0.006 0.287 0.000 0.000 -0.199 -9.530 34.63 1658.093 5988.63 286737.1435 0.047 0.045 0.049

43-46 1092-1168 367 0.038 14.983 717.378 0.003 0.144 0.000 0.000 0.000 0.000 14.97 716.767 6003.6 287453.9109 0.039 0.037 0.04137-43 940-1092 366 0.040 29.914 1432.270 0.005 0.239 0.000 0.000 0.000 0.000 29.9 1431.620 6033.5 288885.5306 0.04 0.038 0.042

* 25-37 635-940 365 0.032 60.352 2889.654 0.010 0.479 0.000 0.000 0.232 11.093 60.11 2878.082 6093.61 291763.6129 0.035 0.033 0.037

13-25 330-635 364 0.030 60.450 2894.379 0.010 0.479 0.000 0.000 0.000 0.000 60.42 2892.925 6154.03 294656.538 0.03 0.029 0.032

* 0-13 0-330 363 0.020 66.189 3169.146 0.011 0.527 0.000 0.000 -0.292 -13.981 66.47 3182.601 6220.5 297839.1387 0.015 0.014 0.016

Results for RBHT Test 1683

Valid Time Period 2530 to 2600 seconds

Collapsed Liquid Level = 94.084 inches = 2389.73 mm

 (Zosv) Onset of Significant Void = 55 inches = 1397 mm

Table A-271 Data Results for RBHT Test 1683 for Time Period 2530 to 2600 seconds
A-816

Table A-272 Energy Balance Results for RBHT Test 1683C for Time Period 2530 to 2600 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4657.607 14.693 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

0.25 6.35 4916.3629 15.509 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

0.50 12.70 5175.1189 16.325 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

0.75 19.05 5433.8748 17.142 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

1.00 25.40 5692.6308 17.958 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

1.25 31.75 5951.3867 18.774 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

1.50 38.10 6210.1427 19.59 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

1.75 44.45 6468.8986 20.407 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

2.00 50.80 6727.6546 21.223 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

2.25 57.15 6986.4105 22.039 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

2.50 63.50 7245.1665 22.855 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

2.75 69.85 7503.9224 23.672 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

3.00 76.20 7762.6783 24.488 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

3.25 82.55 8021.4343 25.304 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

3.50 88.90 8280.1902 26.12 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

3.75 95.25 8538.9462 26.937 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

4.00 101.60 8797.7021 27.753 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

4.25 107.95 9056.4581 28.569 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

4.50 114.30 9315.214 29.386 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

4.75 120.65 9573.97 30.202 0.00E+00 0.00E+00 0.00E+00 1.40E-01 6.36E-02

5.00 127.00 9832.7259 31.018 3.11E-03 2.67E-01 1.21E-01 1.40E-01 6.34E-02

5.25 133.35 10091.482 31.834 1.07E-02 9.22E-01 4.18E-01 1.39E-01 6.30E-02

5.50 139.70 10350.238 32.651 1.85E-02 1.59E+00 7.22E-01 1.38E-01 6.25E-02

5.75 146.05 10608.994 33.467 2.66E-02 2.28E+00 1.03E+00 1.37E-01 6.20E-02

6.00 152.40 10867.75 34.283 3.48E-02 2.99E+00 1.35E+00 1.35E-01 6.14E-02

6.25 158.75 11126.506 35.099 4.32E-02 3.71E+00 1.68E+00 1.34E-01 6.09E-02

6.50 165.10 11385.262 35.916 5.18E-02 4.45E+00 2.02E+00 1.33E-01 6.04E-02

6.75 171.45 11644.018 36.732 6.06E-02 5.20E+00 2.36E+00 1.32E-01 5.98E-02

7.00 177.80 11902.773 37.548 6.96E-02 5.98E+00 2.71E+00 1.31E-01 5.92E-02

7.25 184.15 12161.529 38.364 7.88E-02 6.77E+00 3.07E+00 1.29E-01 5.86E-02

7.50 190.50 12420.285 39.181 8.82E-02 7.57E+00 3.44E+00 1.28E-01 5.80E-02

7.75 196.85 12679.041 39.997 9.78E-02 8.40E+00 3.81E+00 1.27E-01 5.74E-02

8.00 203.20 12937.797 40.813 1.08E-01 9.24E+00 4.19E+00 1.25E-01 5.68E-02

8.25 209.55 13196.553 41.629 1.18E-01 1.01E+01 4.58E+00 1.24E-01 5.62E-02

8.50 215.90 13455.309 42.446 1.28E-01 1.10E+01 4.98E+00 1.22E-01 5.55E-02

8.75 222.25 13714.065 43.262 1.38E-01 1.19E+01 5.38E+00 1.21E-01 5.49E-02

9.00 228.60 13972.821 44.078 1.49E-01 1.28E+01 5.79E+00 1.19E-01 5.42E-02

9.25 234.95 13196.553 41.629 1.59E-01 1.37E+01 6.20E+00 1.18E-01 5.35E-02

9.50 241.30 12420.285 39.181 1.69E-01 1.45E+01 6.58E+00 1.17E-01 5.29E-02

9.75 247.65 11644.018 36.732 1.78E-01 1.53E+01 6.94E+00 1.15E-01 5.23E-02

10.00 254.00 10867.75 34.283 1.87E-01 1.60E+01 7.27E+00 1.14E-01 5.18E-02

10.25 260.35 10091.482 31.834 1.95E-01 1.67E+01 7.59E+00 1.13E-01 5.13E-02

10.50 266.70 9315.214 29.386 2.02E-01 1.74E+01 7.87E+00 1.12E-01 5.08E-02

10.75 273.05 8538.9462 26.937 2.09E-01 1.79E+01 8.14E+00 1.11E-01 5.04E-02

11.00 279.40 7762.6783 24.488 2.15E-01 1.85E+01 8.38E+00 1.10E-01 4.99E-02

11.25 285.75 6986.4105 22.039 2.21E-01 1.90E+01 8.60E+00 1.09E-01 4.96E-02

11.50 292.10 6210.1427 19.59 2.26E-01 1.94E+01 8.80E+00 1.09E-01 4.93E-02

11.75 298.45 5433.8748 17.142 2.30E-01 1.98E+01 8.97E+00 1.08E-01 4.90E-02

12.00 304.80 4657.607 14.693 2.34E-01 2.01E+01 9.12E+00 1.07E-01 4.87E-02

Results for RBHT Test 1683

Valid Time Period 2530 to 2600 seconds
A-817

Figure A-680 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683C for Time Period 2530 to 2600 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-818

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-D 

Test Conditions

Date: 7/23/2003

Steady-state time window: 2760 – 2800 seconds

Inlet flow rate: 3.452 cm/sec (1.359 in./sec) 

Inlet mass flow rate: 0.163 kg/sec (0.359 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-819

Figure A-681 Inlet Flow Plot for Experiment 1683D 

Figure A-682 Inlet Temperature Plot for Experiment 1683D 
A-820

Figure A-683 System Pressure Plot for Experiment 1683D 

Figure A-684 Bundle Power Plot for Experiment 1683D 
A-821

Table A-273: Data Results for RBHT Test 1683 for Time Period 2760 to 2800 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.767 13.316 637.559 1.160 55.541 0.312 14.939 0.000 0.000 11.84 566.902 5771.84 276357.1826 0.793 0.789 0.797

* 120-133 3048-3378 383 0.721 18.826 901.385 1.268 60.712 0.556 26.621 2.672 127.927 14.33 686.124 5786.17 277043.3066 0.788 0.784 0.792

* 108-120 2743-3048 382 0.667 20.727 992.394 1.031 49.365 0.694 33.229 5.162 247.138 13.84 662.663 5800.01 277705.9694 0.778 0.774 0.782

100-108 2540-2743 381 0.746 10.542 504.776 0.597 28.585 0.508 24.323 0.000 0.000 9.433 451.654 5809.443 278157.6239 0.773 0.769 0.777

97-100 2464-2540 380 0.669 5.152 246.669 0.204 9.768 0.184 8.810 0.000 0.000 4.761 227.958 5814.204 278385.5818 0.694 0.691 0.697

93-97 2362-2464 379 0.668 6.897 330.218 0.255 12.209 0.239 11.443 0.000 0.000 6.401 306.482 5820.605 278692.0633 0.692 0.689 0.695

* 85-93 2159-2362 378 0.485 21.402 1024.720 0.453 21.690 0.460 22.025 7.729 370.053 12.76 610.952 5833.365 279303.0154 0.693 0.690 0.696

81-85 2057-2159 377 0.674 6.782 324.747 0.198 9.480 0.220 10.534 0.000 0.000 6.361 304.566 5839.726 279607.5817 0.694 0.691 0.69778-81 1981-2057 376 0.574 6.642 318.034 0.136 6.512 0.161 7.709 0.000 0.000 6.342 303.657 5846.068 279911.2383 0.593 0.590 0.59675-78 1905-1981 375 0.491 7.935 379.949 0.125 5.985 0.157 7.517 0.000 0.000 7.652 366.380 5853.72 280277.618 0.509 0.506 0.51272-75 1829-1905 374 0.407 9.234 442.114 0.114 5.458 0.154 7.374 0.000 0.000 8.962 429.103 5862.682 280706.7209 0.425 0.423 0.427

* 67-72 1702-1829 373 0.361 16.598 794.711 0.165 7.900 0.248 11.874 1.115 53.381 15.07 721.555 5877.752 281428.2763 0.419 0.417 0.421

63-67 1600-1702 372 0.400 12.474 597.276 0.108 5.171 0.191 9.145 0.000 0.000 12.17 582.703 5889.922 282010.9791 0.414 0.412 0.41660-63 1524-1600 371 0.256 11.592 555.005 0.066 3.160 0.139 6.655 0.000 0.000 11.38 544.877 5901.302 282555.8564 0.269 0.268 0.27057-60 1448-1524 370 0.184 12.713 608.715 0.052 2.490 0.136 6.512 0.000 0.000 12.52 599.461 5913.822 283155.3172 0.196 0.195 0.19753-57 1346-1448 369 0.077 19.184 918.543 0.044 2.107 0.175 8.379 0.000 0.000 18.96 907.810 5932.782 284063.1269 0.087 0.083 0.091

* 46-53 1168-1346 368 0.057 34.266 1640.645 0.030 1.436 0.067 3.208 0.199 9.509 33.97 1626.492 5966.752 285689.6192 0.065 0.062 0.068

43-46 1092-1168 367 0.043 14.910 713.897 0.002 0.096 0.000 0.000 0.000 0.000 14.9 713.416 5981.652 286403.035 0.043 0.041 0.04537-43 940-1092 366 0.043 29.820 1427.794 0.004 0.192 0.000 0.000 0.000 0.000 29.81 1427.310 6011.462 287830.3455 0.043 0.041 0.045

* 25-37 635-940 365 0.035 60.149 2879.957 0.007 0.335 0.000 0.000 0.172 8.242 59.97 2871.379 6071.432 290701.7245 0.037 0.035 0.039

13-25 330-635 364 0.032 60.346 2889.406 0.007 0.335 0.000 0.000 0.000 0.000 60.32 2888.137 6131.752 293589.8616 0.032 0.030 0.034

* 0-13 0-330 363 0.020 66.132 3166.411 0.008 0.383 0.000 0.000 -0.296 -14.179 66.42 3180.207 6198.172 296770.0683 0.016 0.015 0.017

Results for RBHT Test 1683

Valid Time Period 2760 to 2800 seconds

Collapsed Liquid Level = 88.424 inches = 2245.96 mm

 (Zosv) Onset of Significant Void = 49.5 inches = 1257 mm

Table A-273 Data Results for RBHT Test 1683 for Time Period 2760 to 2800 seconds
A-822

Table A-274 Energy Balance Results for RBHT Test 1683D for Time Period 2760 to 2800 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4656.3805 14.689 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

0.25 6.35 4915.0683 15.505 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

0.50 12.70 5173.7561 16.321 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

0.75 19.05 5432.4439 17.137 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

1.00 25.40 5691.1317 17.953 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

1.25 31.75 5949.8196 18.769 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

1.50 38.10 6208.5074 19.585 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

1.75 44.45 6467.1952 20.401 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

2.00 50.80 6725.883 21.217 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

2.25 57.15 6984.5708 22.033 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

2.50 63.50 7243.2586 22.849 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

2.75 69.85 7501.9464 23.665 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

3.00 76.20 7760.6342 24.481 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

3.25 82.55 8019.322 25.298 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

3.50 88.90 8278.0098 26.114 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

3.75 95.25 8536.6976 26.93 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

4.00 101.60 8795.3854 27.746 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

4.25 107.95 9054.0732 28.562 0.00E+00 0.00E+00 0.00E+00 1.18E-01 5.33E-02

4.50 114.30 9312.761 29.378 7.20E-03 5.17E-01 2.35E-01 1.17E-01 5.29E-02

4.75 120.65 9571.4489 30.194 1.58E-02 1.14E+00 5.16E-01 1.16E-01 5.25E-02

5.00 127.00 9830.1367 31.01 2.47E-02 1.77E+00 8.04E-01 1.15E-01 5.20E-02

5.25 133.35 10088.824 31.826 3.38E-02 2.43E+00 1.10E+00 1.14E-01 5.15E-02

5.50 139.70 10347.512 32.642 4.31E-02 3.10E+00 1.41E+00 1.12E-01 5.10E-02

5.75 146.05 10606.2 33.458 5.27E-02 3.79E+00 1.72E+00 1.11E-01 5.05E-02

6.00 152.40 10864.888 34.274 6.25E-02 4.49E+00 2.04E+00 1.10E-01 5.00E-02

6.25 158.75 11123.576 35.09 7.25E-02 5.21E+00 2.36E+00 1.09E-01 4.94E-02

6.50 165.10 11382.263 35.906 8.28E-02 5.95E+00 2.70E+00 1.08E-01 4.89E-02

6.75 171.45 11640.951 36.722 9.33E-02 6.70E+00 3.04E+00 1.07E-01 4.83E-02

7.00 177.80 11899.639 37.538 1.04E-01 7.48E+00 3.39E+00 1.05E-01 4.78E-02

7.25 184.15 12158.327 38.354 1.15E-01 8.27E+00 3.75E+00 1.04E-01 4.72E-02

7.50 190.50 12417.015 39.17 1.26E-01 9.07E+00 4.11E+00 1.03E-01 4.66E-02

7.75 196.85 12675.703 39.986 1.38E-01 9.90E+00 4.49E+00 1.01E-01 4.60E-02

8.00 203.20 12934.39 40.802 1.49E-01 1.07E+01 4.87E+00 9.99E-02 4.53E-02

8.25 209.55 13193.078 41.619 1.61E-01 1.16E+01 5.26E+00 9.86E-02 4.47E-02

8.50 215.90 13451.766 42.435 1.74E-01 1.25E+01 5.66E+00 9.71E-02 4.41E-02

8.75 222.25 13710.454 43.251 1.86E-01 1.34E+01 6.06E+00 9.57E-02 4.34E-02

9.00 228.60 13969.142 44.067 1.99E-01 1.43E+01 6.47E+00 9.42E-02 4.27E-02

9.25 234.95 13193.078 41.619 2.11E-01 1.52E+01 6.88E+00 9.27E-02 4.21E-02

9.50 241.30 12417.015 39.17 2.23E-01 1.60E+01 7.26E+00 9.13E-02 4.14E-02

9.75 247.65 11640.951 36.722 2.34E-01 1.68E+01 7.62E+00 9.01E-02 4.08E-02

10.00 254.00 10864.888 34.274 2.44E-01 1.75E+01 7.95E+00 8.89E-02 4.03E-02

10.25 260.35 10088.824 31.826 2.53E-01 1.82E+01 8.26E+00 8.77E-02 3.98E-02

10.50 266.70 9312.761 29.378 2.62E-01 1.89E+01 8.55E+00 8.67E-02 3.93E-02

10.75 273.05 8536.6976 26.93 2.70E-01 1.94E+01 8.82E+00 8.57E-02 3.89E-02

11.00 279.40 7760.6342 24.481 2.78E-01 2.00E+01 9.06E+00 8.49E-02 3.85E-02

11.25 285.75 6984.5708 22.033 2.85E-01 2.05E+01 9.28E+00 8.41E-02 3.81E-02

11.50 292.10 6208.5074 19.585 2.91E-01 2.09E+01 9.47E+00 8.34E-02 3.78E-02

11.75 298.45 5432.4439 17.137 2.96E-01 2.13E+01 9.65E+00 8.27E-02 3.75E-02

12.00 304.80 4656.3805 14.689 3.01E-01 2.16E+01 9.80E+00 8.22E-02 3.73E-02

Results for RBHT Test 1683

Valid Time Period 2760 to 2800 seconds
A-823

Figure A-685 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683D for Time Period 2760 to 2800 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-824

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-E 

Test Conditions

Date: 7/23/2003

Steady-state time window: 2900 – 2970 seconds

Inlet flow rate: 3.647 cm/sec (1.436 in./sec) 

Inlet mass flow rate: 0.172 kg/sec (0.379 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-825

Figure A-686 Inlet Flow Plot for Experiment 1683E 

Figure A-687 Inlet Temperature Plot for Experiment 1683E 
A-826

Figure A-688 System Pressure Plot for Experiment 1683E 

Figure A-689 Bundle Power Plot for Experiment 1683E 
A-827

Table A-275: Data Results for RBHT Test 1683 for Time Period 2900 to 2970 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.771 13.061 625.375 1.214 58.127 0.330 15.800 0.000 0.000 11.51 551.102 5771.51 276341.3821 0.798 0.794 0.802

* 120-133 3048-3378 383 0.724 18.654 893.179 1.325 63.441 0.588 28.154 2.741 131.261 14 670.324 5785.51 277011.7057 0.793 0.789 0.797

* 108-120 2743-3048 382 0.671 20.519 982.448 1.076 51.519 0.734 35.144 5.069 242.698 13.64 653.087 5799.15 277664.7924 0.781 0.777 0.785

100-108 2540-2743 381 0.748 10.491 502.289 0.621 29.734 0.537 25.712 0.000 0.000 9.331 446.771 5808.481 278111.5631 0.775 0.771 0.779

97-100 2464-2540 380 0.676 5.048 241.696 0.212 10.151 0.194 9.289 0.000 0.000 4.639 222.117 5813.12 278333.6796 0.702 0.698 0.706

93-97 2362-2464 379 0.671 6.834 327.234 0.264 12.640 0.253 12.114 0.000 0.000 6.312 302.220 5819.432 278635.8998 0.696 0.693 0.699

* 85-93 2159-2362 378 0.489 21.230 1016.514 0.467 22.360 0.486 23.270 7.877 377.169 12.4 593.715 5831.832 279229.6149 0.701 0.697 0.705

81-85 2057-2159 377 0.686 6.528 312.563 0.203 9.720 0.233 11.156 0.000 0.000 6.091 291.639 5837.923 279521.2536 0.707 0.703 0.71178-81 1981-2057 376 0.576 6.601 316.044 0.138 6.607 0.170 8.140 0.000 0.000 6.29 301.167 5844.213 279822.4204 0.596 0.593 0.59975-78 1905-1981 375 0.498 7.821 374.479 0.126 6.033 0.166 7.948 0.000 0.000 7.527 360.395 5851.74 280182.8151 0.517 0.514 0.52072-75 1829-1905 374 0.414 9.130 437.141 0.114 5.458 0.163 7.804 0.000 0.000 8.85 423.740 5860.59 280606.5554 0.432 0.430 0.434

* 67-72 1702-1829 373 0.370 16.359 783.273 0.163 7.804 0.262 12.545 1.334 63.872 14.6 699.052 5875.19 281305.6071 0.438 0.436 0.440

63-67 1600-1702 372 0.429 11.862 567.935 0.104 4.980 0.202 9.672 0.000 0.000 11.55 553.017 5886.74 281858.6241 0.444 0.442 0.44660-63 1524-1600 371 0.303 10.864 520.192 0.061 2.921 0.147 7.038 0.000 0.000 10.65 509.925 5897.39 282368.5488 0.316 0.314 0.31857-60 1448-1524 370 0.212 12.282 588.076 0.044 2.107 0.143 6.847 0.000 0.000 12.09 578.872 5909.48 282947.4211 0.224 0.223 0.22553-57 1346-1448 369 0.080 19.111 915.061 0.030 1.436 0.159 7.613 0.000 0.000 18.92 905.894 5928.4 283853.3156 0.089 0.085 0.093

* 46-53 1168-1346 368 0.058 34.234 1639.153 0.005 0.239 0.000 0.000 0.299 14.337 33.93 1624.577 5962.33 285477.8927 0.066 0.063 0.069

43-46 1092-1168 367 0.043 14.905 713.648 0.002 0.096 0.000 0.000 0.000 0.000 14.9 713.416 5977.23 286191.3085 0.044 0.042 0.04637-43 940-1092 366 0.043 29.815 1427.545 0.004 0.192 0.000 0.000 0.000 0.000 29.8 1426.832 6007.03 287618.1402 0.043 0.041 0.045

* 25-37 635-940 365 0.034 60.191 2881.946 0.008 0.383 0.000 0.000 0.203 9.705 59.98 2871.858 6067.01 290489.998 0.037 0.035 0.039

13-25 330-635 364 0.031 60.378 2890.898 0.008 0.383 0.000 0.000 0.000 0.000 60.35 2889.574 6127.36 293379.5715 0.031 0.029 0.033

* 0-13 0-330 363 0.020 66.147 3167.157 0.009 0.431 0.000 0.000 -0.302 -14.439 66.44 3181.164 6193.8 296560.7358 0.016 0.015 0.017

Results for RBHT Test 1683

Valid Time Period 2900 to 2970 seconds

Collapsed Liquid Level = 89.336 inches = 2269.12 mm

 (Zosv) Onset of Significant Void = 49.5 inches = 1257 mm

Table A-275: Data Results for RBHT Test 1683 for Time Period 2900 to 2970 seconds
A-828

Table A-276 Energy Balance Results for RBHT Test 1683E for Time Period 2900 to 2970 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4657.395 14.692 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

0.25 6.35 4916.1392 15.508 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

0.50 12.70 5174.8833 16.325 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

0.75 19.05 5433.6275 17.141 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

1.00 25.40 5692.3717 17.957 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

1.25 31.75 5951.1158 18.773 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

1.50 38.10 6209.86 19.589 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

1.75 44.45 6468.6042 20.406 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

2.00 50.80 6727.3483 21.222 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

2.25 57.15 6986.0925 22.038 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

2.50 63.50 7244.8367 22.854 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

2.75 69.85 7503.5808 23.671 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

3.00 76.20 7762.325 24.487 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

3.25 82.55 8021.0692 25.303 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

3.50 88.90 8279.8133 26.119 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

3.75 95.25 8538.5575 26.935 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

4.00 101.60 8797.3017 27.752 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

4.25 107.95 9056.0458 28.568 0.00E+00 0.00E+00 0.00E+00 1.24E-01 5.63E-02

4.50 114.30 9314.79 29.384 1.13E-03 8.61E-02 3.91E-02 1.24E-01 5.62E-02

4.75 120.65 9573.5342 30.2 9.29E-03 7.07E-01 3.20E-01 1.23E-01 5.58E-02

5.00 127.00 9832.2783 31.017 1.77E-02 1.34E+00 6.10E-01 1.22E-01 5.53E-02

5.25 133.35 10091.023 31.833 2.63E-02 2.00E+00 9.06E-01 1.21E-01 5.48E-02

5.50 139.70 10349.767 32.649 3.51E-02 2.67E+00 1.21E+00 1.20E-01 5.43E-02

5.75 146.05 10608.511 33.465 4.42E-02 3.36E+00 1.52E+00 1.19E-01 5.38E-02

6.00 152.40 10867.255 34.282 5.35E-02 4.06E+00 1.84E+00 1.18E-01 5.33E-02

6.25 158.75 11125.999 35.098 6.30E-02 4.79E+00 2.17E+00 1.16E-01 5.28E-02

6.50 165.10 11384.743 35.914 7.27E-02 5.53E+00 2.51E+00 1.15E-01 5.22E-02

6.75 171.45 11643.488 36.73 8.26E-02 6.28E+00 2.85E+00 1.14E-01 5.17E-02

7.00 177.80 11902.232 37.546 9.28E-02 7.06E+00 3.20E+00 1.13E-01 5.11E-02

7.25 184.15 12160.976 38.363 1.03E-01 7.85E+00 3.56E+00 1.11E-01 5.05E-02

7.50 190.50 12419.72 39.179 1.14E-01 8.65E+00 3.92E+00 1.10E-01 4.99E-02

7.75 196.85 12678.464 39.995 1.25E-01 9.48E+00 4.30E+00 1.09E-01 4.93E-02

8.00 203.20 12937.208 40.811 1.36E-01 1.03E+01 4.68E+00 1.07E-01 4.87E-02

8.25 209.55 13195.953 41.628 1.47E-01 1.12E+01 5.07E+00 1.06E-01 4.80E-02

8.50 215.90 13454.697 42.444 1.59E-01 1.21E+01 5.47E+00 1.04E-01 4.74E-02

8.75 222.25 13713.441 43.26 1.70E-01 1.29E+01 5.87E+00 1.03E-01 4.67E-02

9.00 228.60 13972.185 44.076 1.82E-01 1.39E+01 6.28E+00 1.02E-01 4.61E-02

9.25 234.95 13195.953 41.628 1.94E-01 1.47E+01 6.69E+00 1.00E-01 4.54E-02

9.50 241.30 12419.72 39.179 2.05E-01 1.56E+01 7.07E+00 9.87E-02 4.48E-02

9.75 247.65 11643.488 36.73 2.15E-01 1.64E+01 7.43E+00 9.74E-02 4.42E-02

10.00 254.00 10867.255 34.282 2.25E-01 1.71E+01 7.77E+00 9.62E-02 4.36E-02

10.25 260.35 10091.023 31.833 2.34E-01 1.78E+01 8.08E+00 9.51E-02 4.31E-02

10.50 266.70 9314.79 29.384 2.43E-01 1.84E+01 8.37E+00 9.40E-02 4.26E-02

10.75 273.05 8538.5575 26.935 2.50E-01 1.90E+01 8.63E+00 9.31E-02 4.22E-02

11.00 279.40 7762.325 24.487 2.57E-01 1.96E+01 8.87E+00 9.22E-02 4.18E-02

11.25 285.75 6986.0925 22.038 2.64E-01 2.00E+01 9.09E+00 9.14E-02 4.15E-02

11.50 292.10 6209.86 19.589 2.69E-01 2.05E+01 9.29E+00 9.07E-02 4.11E-02

11.75 298.45 5433.6275 17.141 2.74E-01 2.09E+01 9.46E+00 9.01E-02 4.09E-02

12.00 304.80 4657.395 14.692 2.79E-01 2.12E+01 9.61E+00 8.95E-02 4.06E-02

Results for RBHT Test 1683

Valid Time Period 2900 to 2970 seconds
A-829

Figure A-690 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683E for Time Period 2900 to 2970 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-830

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-F 

Test Conditions

Date: 7/23/2003

Steady-state time window: 3060 – 3160 seconds

Inlet flow rate: 3.592 cm/sec (1.414 in./sec) 

Inlet mass flow rate: 0.170 kg/sec (0.374 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-831

Figure A-691 Inlet Flow Plot for Experiment 1683F 

Figure A-692 Inlet Temperature Plot for Experiment 1683F 
A-832

Figure A-693 System Pressure Plot for Experiment 1683F 

Figure A-694 Bundle Power Plot for Experiment 1683F 
A-833

Table A-277: Data Results for RBHT Test 1683 for Time Period 3060 to 3160 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.769 13.222 633.083 1.199 57.408 0.324 15.513 0.000 0.000 11.69 559.720 5771.69 276350.0005 0.795 0.791 0.799

* 120-133 3048-3378 383 0.722 18.784 899.396 1.309 62.675 0.579 27.723 2.666 127.662 14.23 681.336 5785.92 277031.3366 0.789 0.785 0.793

* 108-120 2743-3048 382 0.669 20.659 989.161 1.064 50.945 0.723 34.617 4.992 239.021 13.88 664.578 5799.8 277695.9145 0.777 0.773 0.781

100-108 2540-2743 381 0.744 10.652 509.998 0.614 29.398 0.529 25.329 0.000 0.000 9.504 455.054 5809.304 278150.9685 0.771 0.767 0.775

97-100 2464-2540 380 0.674 5.079 243.187 0.209 10.007 0.191 9.145 0.000 0.000 4.676 223.888 5813.98 278374.8566 0.7 0.697 0.704

93-97 2362-2464 379 0.669 6.881 329.472 0.262 12.545 0.249 11.922 0.000 0.000 6.37 304.997 5820.35 278679.8538 0.693 0.690 0.696

* 85-93 2159-2362 378 0.484 21.438 1026.460 0.464 22.216 0.478 22.887 7.986 382.375 12.51 598.982 5832.86 279278.8358 0.699 0.696 0.702

81-85 2057-2159 377 0.684 6.570 314.552 0.202 9.672 0.229 10.965 0.000 0.000 6.137 293.841 5838.997 279572.677 0.705 0.701 0.70978-81 1981-2057 376 0.569 6.720 321.763 0.138 6.607 0.168 8.044 0.000 0.000 6.414 307.104 5845.411 279879.781 0.588 0.585 0.59175-78 1905-1981 375 0.494 7.883 377.463 0.126 6.033 0.164 7.852 0.000 0.000 7.591 363.459 5853.002 280243.24 0.513 0.510 0.51672-75 1829-1905 374 0.413 9.145 437.887 0.114 5.458 0.160 7.661 0.000 0.000 8.867 424.554 5861.869 280667.7942 0.431 0.429 0.433

* 67-72 1702-1829 373 0.362 16.577 793.716 0.164 7.852 0.258 12.353 1.395 66.798 14.76 706.713 5876.629 281374.5068 0.431 0.429 0.433

63-67 1600-1702 372 0.418 12.100 579.373 0.105 5.027 0.199 9.528 0.000 0.000 11.79 564.508 5888.419 281939.015 0.432 0.430 0.43460-63 1524-1600 371 0.286 11.119 532.377 0.063 3.016 0.145 6.943 0.000 0.000 10.91 522.374 5899.329 282461.3886 0.3 0.299 0.30257-60 1448-1524 370 0.187 12.661 606.228 0.047 2.250 0.141 6.751 0.000 0.000 12.47 597.067 5911.799 283058.4555 0.2 0.199 0.20153-57 1346-1448 369 0.070 19.330 925.505 0.033 1.580 0.182 8.714 0.000 0.000 19.11 914.992 5930.909 283973.4472 0.08 0.076 0.084

* 46-53 1168-1346 368 0.058 34.255 1640.148 0.007 0.335 0.003 0.144 0.145 6.952 34.1 1632.717 5965.009 285606.1639 0.062 0.059 0.065

43-46 1092-1168 367 0.043 14.910 713.897 0.002 0.096 0.000 0.000 0.000 0.000 14.9 713.416 5979.909 286319.5798 0.043 0.041 0.04537-43 940-1092 366 0.043 29.825 1428.043 0.004 0.192 0.000 0.000 0.000 0.000 29.81 1427.310 6009.719 287746.8902 0.043 0.041 0.045

* 25-37 635-940 365 0.034 60.191 2881.946 0.008 0.383 0.000 0.000 0.203 9.705 59.98 2871.858 6069.699 290618.748 0.037 0.035 0.039

13-25 330-635 364 0.031 60.372 2890.649 0.008 0.383 0.000 0.000 0.000 0.000 60.35 2889.574 6130.049 293508.3215 0.031 0.029 0.033

* 0-13 0-330 363 0.020 66.142 3166.908 0.008 0.383 0.000 0.000 -0.296 -14.161 66.43 3180.685 6196.479 296689.007 0.016 0.015 0.017

Results for RBHT Test 1683

Valid Time Period 3060 to 3160 seconds

Collapsed Liquid Level = 89.430 inches = 2271.53 mm

 (Zosv) Onset of Significant Void = 49.5 inches = 1257 mm

Table A-277 Data Results for RBHT Test 1683 for Time Period 3060 to 3160 seconds
A-834

Table A-278 Energy Balance Results for RBHT Test 1683F for Time Period 3060 to 3160 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4659.1271 14.698 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

0.25 6.35 4917.9675 15.514 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

0.50 12.70 5176.8079 16.331 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

0.75 19.05 5435.6483 17.147 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

1.00 25.40 5694.4887 17.964 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

1.25 31.75 5953.3291 18.78 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

1.50 38.10 6212.1695 19.597 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

1.75 44.45 6471.0099 20.413 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

2.00 50.80 6729.8503 21.23 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

2.25 57.15 6988.6907 22.046 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

2.50 63.50 7247.5311 22.863 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

2.75 69.85 7506.3715 23.679 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

3.00 76.20 7765.2119 24.496 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

3.25 82.55 8024.0523 25.312 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

3.50 88.90 8282.8927 26.129 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

3.75 95.25 8541.733 26.946 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

4.00 101.60 8800.5734 27.762 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

4.25 107.95 9059.4138 28.579 0.00E+00 0.00E+00 0.00E+00 1.22E-01 5.55E-02

4.50 114.30 9318.2542 29.395 2.87E-03 2.14E-01 9.72E-02 1.22E-01 5.53E-02

4.75 120.65 9577.0946 30.212 1.12E-02 8.35E-01 3.79E-01 1.21E-01 5.48E-02

5.00 127.00 9835.935 31.028 1.97E-02 1.47E+00 6.67E-01 1.20E-01 5.44E-02

5.25 133.35 10094.775 31.845 2.84E-02 2.13E+00 9.64E-01 1.19E-01 5.39E-02

5.50 139.70 10353.616 32.661 3.74E-02 2.80E+00 1.27E+00 1.18E-01 5.34E-02

5.75 146.05 10612.456 33.478 4.66E-02 3.48E+00 1.58E+00 1.17E-01 5.29E-02

6.00 152.40 10871.297 34.294 5.60E-02 4.19E+00 1.90E+00 1.15E-01 5.23E-02

6.25 158.75 11130.137 35.111 6.57E-02 4.91E+00 2.23E+00 1.14E-01 5.18E-02

6.50 165.10 11388.977 35.927 7.56E-02 5.65E+00 2.56E+00 1.13E-01 5.13E-02

6.75 171.45 11647.818 36.744 8.57E-02 6.41E+00 2.91E+00 1.12E-01 5.07E-02

7.00 177.80 11906.658 37.56 9.60E-02 7.18E+00 3.26E+00 1.11E-01 5.01E-02

7.25 184.15 12165.499 38.377 1.07E-01 7.97E+00 3.62E+00 1.09E-01 4.95E-02

7.50 190.50 12424.339 39.193 1.17E-01 8.77E+00 3.98E+00 1.08E-01 4.89E-02

7.75 196.85 12683.179 40.01 1.28E-01 9.60E+00 4.36E+00 1.07E-01 4.83E-02

8.00 203.20 12942.02 40.827 1.40E-01 1.04E+01 4.74E+00 1.05E-01 4.77E-02

8.25 209.55 13200.86 41.643 1.51E-01 1.13E+01 5.13E+00 1.04E-01 4.71E-02

8.50 215.90 13459.701 42.46 1.63E-01 1.22E+01 5.52E+00 1.02E-01 4.64E-02

8.75 222.25 13718.541 43.276 1.75E-01 1.31E+01 5.93E+00 1.01E-01 4.58E-02

9.00 228.60 13977.381 44.093 1.87E-01 1.40E+01 6.34E+00 9.94E-02 4.51E-02

9.25 234.95 13200.86 41.643 1.99E-01 1.49E+01 6.74E+00 9.79E-02 4.44E-02

9.50 241.30 12424.339 39.193 2.10E-01 1.57E+01 7.12E+00 9.66E-02 4.38E-02

9.75 247.65 11647.818 36.744 2.21E-01 1.65E+01 7.48E+00 9.53E-02 4.32E-02

10.00 254.00 10871.297 34.294 2.31E-01 1.72E+01 7.82E+00 9.41E-02 4.27E-02

10.25 260.35 10094.775 31.845 2.40E-01 1.79E+01 8.13E+00 9.29E-02 4.22E-02

10.50 266.70 9318.2542 29.395 2.48E-01 1.86E+01 8.42E+00 9.19E-02 4.17E-02

10.75 273.05 8541.733 26.946 2.56E-01 1.91E+01 8.68E+00 9.10E-02 4.13E-02

11.00 279.40 7765.2119 24.496 2.63E-01 1.97E+01 8.93E+00 9.01E-02 4.09E-02

11.25 285.75 6988.6907 22.046 2.70E-01 2.02E+01 9.14E+00 8.93E-02 4.05E-02

11.50 292.10 6212.1695 19.597 2.75E-01 2.06E+01 9.34E+00 8.86E-02 4.02E-02

11.75 298.45 5435.6483 17.147 2.81E-01 2.10E+01 9.51E+00 8.80E-02 3.99E-02

12.00 304.80 4659.1271 14.698 2.85E-01 2.13E+01 9.67E+00 8.74E-02 3.96E-02

Results for RBHT Test 1683

Valid Time Period 3060 to 3160 seconds
A-835

Figure A-695 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683F for Time Period 3060 to 3160 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-836

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-G 

Test Conditions

Date: 7/23/2003

Steady-state time window: 3390 – 3505 seconds

Inlet flow rate: 3.007 cm/sec (1.184 in./sec) 

Inlet mass flow rate: 0.142 kg/sec (0.313 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-837

Figure A-696 Inlet Flow Plot for Experiment 1683G 

Figure A-697 Inlet Temperature Plot for Experiment 1683G 
A-838

Figure A-698 System Pressure Plot for Experiment 1683G 

Figure A-699 Bundle Power Plot for Experiment 1683G 
A-839

Table A-279: Data Results for RBHT Test 1683 for Time Period 3390 to 3505 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.803 11.249 538.593 1.036 49.604 0.272 13.023 0.000 0.000 9.939 475.882 5769.939 276266.1622 0.826 0.822 0.830

* 120-133 3048-3378 383 0.749 16.956 811.868 1.134 54.296 0.485 23.222 2.987 143.029 12.35 591.321 5782.289 276857.4834 0.817 0.813 0.821

* 108-120 2743-3048 382 0.697 18.862 903.126 0.925 44.289 0.605 28.968 4.812 230.408 12.52 599.461 5794.809 277456.9442 0.799 0.795 0.803

100-108 2540-2743 381 0.766 9.706 464.742 0.538 25.760 0.443 21.211 0.000 0.000 8.724 417.707 5803.533 277874.6515 0.79 0.786 0.794

97-100 2464-2540 380 0.708 4.555 218.073 0.185 8.858 0.160 7.661 0.000 0.000 4.207 201.432 5807.74 278076.0838 0.73 0.726 0.734

93-97 2362-2464 379 0.711 6.014 287.946 0.232 11.108 0.209 10.007 0.000 0.000 5.569 266.645 5813.309 278342.7289 0.732 0.728 0.736

* 85-93 2159-2362 378 0.520 19.937 954.598 0.416 19.918 0.401 19.200 8.010 383.530 11.11 531.950 5824.419 278874.6786 0.733 0.729 0.737

81-85 2057-2159 377 0.715 5.915 283.221 0.184 8.810 0.192 9.193 0.000 0.000 5.539 265.209 5829.958 279139.8873 0.733 0.729 0.73778-81 1981-2057 376 0.629 5.775 276.508 0.127 6.081 0.140 6.703 0.000 0.000 5.507 263.677 5835.465 279403.5639 0.647 0.644 0.65075-78 1905-1981 375 0.557 6.897 330.218 0.118 5.650 0.137 6.560 0.000 0.000 6.641 317.973 5842.106 279721.5367 0.574 0.571 0.57772-75 1829-1905 374 0.475 8.185 391.885 0.109 5.219 0.134 6.416 0.000 0.000 7.937 380.026 5850.043 280101.5623 0.49 0.488 0.492

* 67-72 1702-1829 373 0.407 15.388 736.774 0.162 7.757 0.216 10.342 2.620 125.438 12.39 593.236 5862.433 280694.7987 0.523 0.520 0.526

63-67 1600-1702 372 0.542 9.514 455.541 0.111 5.315 0.167 7.996 0.000 0.000 9.234 442.126 5871.667 281136.925 0.555 0.552 0.55860-63 1524-1600 371 0.400 9.353 447.833 0.072 3.447 0.121 5.794 0.000 0.000 9.156 438.392 5880.823 281575.3166 0.412 0.410 0.41457-60 1448-1524 370 0.351 10.111 484.137 0.062 2.969 0.118 5.650 0.000 0.000 9.929 475.403 5890.752 282050.7197 0.363 0.361 0.36553-57 1346-1448 369 0.280 14.952 715.886 0.065 3.112 0.153 7.326 0.000 0.000 14.73 705.276 5905.482 282755.9959 0.291 0.290 0.292

* 46-53 1168-1346 368 0.106 32.484 1555.356 0.061 2.921 0.241 11.539 2.042 97.785 30.14 1443.111 5935.622 284199.1068 0.171 0.170 0.172

43-46 1092-1168 367 0.050 14.796 708.427 0.001 0.048 0.000 0.000 0.000 0.000 14.79 708.149 5950.412 284907.2558 0.05 0.048 0.05337-43 940-1092 366 0.047 29.690 1421.578 0.003 0.144 0.000 0.000 0.000 0.000 29.68 1421.086 5980.092 286328.3418 0.047 0.045 0.049

* 25-37 635-940 365 0.038 59.967 2871.254 0.005 0.239 0.000 0.000 0.162 7.775 59.8 2863.239 6039.892 289191.5812 0.04 0.038 0.042

13-25 330-635 364 0.033 60.269 2885.676 0.005 0.239 0.000 0.000 0.000 0.000 60.24 2884.307 6100.132 292075.8879 0.033 0.031 0.035

* 0-13 0-330 363 0.021 66.101 3164.919 0.006 0.287 0.000 0.000 -0.285 -13.660 66.38 3178.291 6166.512 295254.1794 0.017 0.016 0.018

Results for RBHT Test 1683

Valid Time Period 3390 to 3505 seconds

Collapsed Liquid Level = 83.784 inches = 2128.12 mm

 (Zosv) Onset of Significant Void = 44.5 inches = 1130 mm

Table A-279 Data Results for RBHT Test 1683 for Time Period 3390 to 3505 seconds
A-840

Table A-280 Energy Balance Results for RBHT Test 1683G for Time Period 3390 to 3505 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4657.6306 14.693 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

0.25 6.35 4916.3878 15.509 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

0.50 12.70 5175.1451 16.325 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

0.75 19.05 5433.9023 17.142 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

1.00 25.40 5692.6596 17.958 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

1.25 31.75 5951.4168 18.774 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

1.50 38.10 6210.1741 19.59 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

1.75 44.45 6468.9313 20.407 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

2.00 50.80 6727.6886 21.223 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

2.25 57.15 6986.4458 22.039 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

2.50 63.50 7245.2031 22.856 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

2.75 69.85 7503.9603 23.672 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

3.00 76.20 7762.7176 24.488 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

3.25 82.55 8021.4749 25.304 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

3.50 88.90 8280.2321 26.121 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

3.75 95.25 8538.9894 26.937 0.00E+00 0.00E+00 0.00E+00 1.02E-01 4.64E-02

4.00 101.60 8797.7466 27.753 4.95E-03 3.10E-01 1.41E-01 1.02E-01 4.62E-02

4.25 107.95 9056.5039 28.569 1.43E-02 8.97E-01 4.07E-01 1.01E-01 4.58E-02

4.50 114.30 9315.2611 29.386 2.39E-02 1.50E+00 6.80E-01 9.99E-02 4.53E-02

4.75 120.65 9574.0184 30.202 3.38E-02 2.12E+00 9.62E-01 9.89E-02 4.49E-02

5.00 127.00 9832.7756 31.018 4.40E-02 2.76E+00 1.25E+00 9.78E-02 4.44E-02

5.25 133.35 10091.533 31.834 5.45E-02 3.41E+00 1.55E+00 9.68E-02 4.39E-02

5.50 139.70 10350.29 32.651 6.52E-02 4.08E+00 1.85E+00 9.57E-02 4.34E-02

5.75 146.05 10609.047 33.467 7.62E-02 4.77E+00 2.16E+00 9.46E-02 4.29E-02

6.00 152.40 10867.805 34.283 8.74E-02 5.48E+00 2.48E+00 9.34E-02 4.24E-02

6.25 158.75 11126.562 35.1 9.89E-02 6.20E+00 2.81E+00 9.22E-02 4.18E-02

6.50 165.10 11385.319 35.916 1.11E-01 6.94E+00 3.15E+00 9.10E-02 4.13E-02

6.75 171.45 11644.076 36.732 1.23E-01 7.69E+00 3.49E+00 8.98E-02 4.07E-02

7.00 177.80 11902.834 37.548 1.35E-01 8.46E+00 3.84E+00 8.85E-02 4.02E-02

7.25 184.15 12161.591 38.365 1.48E-01 9.25E+00 4.20E+00 8.72E-02 3.96E-02

7.50 190.50 12420.348 39.181 1.61E-01 1.01E+01 4.56E+00 8.59E-02 3.90E-02

7.75 196.85 12679.105 39.997 1.74E-01 1.09E+01 4.94E+00 8.46E-02 3.84E-02

8.00 203.20 12937.863 40.813 1.87E-01 1.17E+01 5.32E+00 8.32E-02 3.77E-02

8.25 209.55 13196.62 41.63 2.01E-01 1.26E+01 5.71E+00 8.18E-02 3.71E-02

8.50 215.90 13455.377 42.446 2.15E-01 1.35E+01 6.11E+00 8.04E-02 3.64E-02

8.75 222.25 13714.134 43.262 2.29E-01 1.44E+01 6.51E+00 7.89E-02 3.58E-02

9.00 228.60 13972.892 44.078 2.44E-01 1.53E+01 6.92E+00 7.74E-02 3.51E-02

9.25 234.95 13196.62 41.63 2.58E-01 1.62E+01 7.33E+00 7.60E-02 3.45E-02

9.50 241.30 12420.348 39.181 2.71E-01 1.70E+01 7.71E+00 7.46E-02 3.38E-02

9.75 247.65 11644.076 36.732 2.84E-01 1.78E+01 8.07E+00 7.33E-02 3.32E-02

10.00 254.00 10867.805 34.283 2.96E-01 1.85E+01 8.40E+00 7.21E-02 3.27E-02

10.25 260.35 10091.533 31.834 3.07E-01 1.92E+01 8.72E+00 7.10E-02 3.22E-02

10.50 266.70 9315.2611 29.386 3.17E-01 1.98E+01 9.00E+00 6.99E-02 3.17E-02

10.75 273.05 8538.9894 26.937 3.26E-01 2.04E+01 9.27E+00 6.90E-02 3.13E-02

11.00 279.40 7762.7176 24.488 3.35E-01 2.10E+01 9.51E+00 6.81E-02 3.09E-02

11.25 285.75 6986.4458 22.039 3.43E-01 2.15E+01 9.73E+00 6.73E-02 3.05E-02

11.50 292.10 6210.1741 19.59 3.49E-01 2.19E+01 9.93E+00 6.66E-02 3.02E-02

11.75 298.45 5433.9023 17.142 3.56E-01 2.23E+01 1.01E+01 6.60E-02 2.99E-02

12.00 304.80 4657.6306 14.693 3.61E-01 2.26E+01 1.03E+01 6.54E-02 2.97E-02

Results for RBHT Test 1683

Valid Time Period 3390 to 3505 seconds
A-841

Figure A-700 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683G for Time Period 3390 to 3505 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-842

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-H 

Test Conditions

Date: 7/23/2003

Steady-state time window: 3679 – 3750 seconds

Inlet flow rate: 2.532 cm/sec (0.997 in./sec) 

Inlet mass flow rate: 0.119 kg/sec (0.263 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-843

Figure A-701 Inlet Flow Plot for Experiment 1683H 

Figure A-702 Inlet Temperature Plot for Experiment 1683H 
A-844

Figure A-703 System Pressure Plot for Experiment 1683H 

Figure A-704 Bundle Power Plot for Experiment 1683H 
A-845

Table A-281: Data Results for RBHT Test 1683 for Time Period 3679 to 3750 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.830 9.727 465.736 0.898 42.996 0.229 10.965 0.000 0.000 8.599 411.722 5768.599 276202.0026 0.849 0.845 0.853

* 120-133 3048-3378 383 0.771 15.450 739.757 0.983 47.066 0.409 19.583 3.168 151.692 10.89 521.416 5779.489 276723.4186 0.839 0.835 0.843

* 108-120 2743-3048 382 0.720 17.439 834.993 0.804 38.496 0.510 24.419 4.725 226.244 11.4 545.835 5790.889 277269.2536 0.817 0.813 0.821

100-108 2540-2743 381 0.786 8.896 425.951 0.470 22.504 0.373 17.859 0.000 0.000 8.053 385.580 5798.942 277654.8333 0.806 0.802 0.810

97-100 2464-2540 380 0.732 4.181 200.170 0.162 7.757 0.135 6.464 0.000 0.000 3.881 185.823 5802.823 277840.6566 0.751 0.747 0.755

93-97 2362-2464 379 0.735 5.505 263.577 0.204 9.768 0.176 8.427 0.000 0.000 5.123 245.291 5807.946 278085.9471 0.753 0.749 0.757

* 85-93 2159-2362 378 0.551 18.660 893.428 0.368 17.620 0.338 16.184 7.634 365.500 10.32 494.124 5818.266 278580.0714 0.751 0.747 0.755

81-85 2057-2159 377 0.734 5.531 264.821 0.164 7.852 0.162 7.757 0.000 0.000 5.202 249.073 5823.468 278829.1445 0.75 0.746 0.75478-81 1981-2057 376 0.667 5.183 248.161 0.115 5.506 0.118 5.650 0.000 0.000 4.946 236.816 5828.414 279065.9602 0.682 0.679 0.68575-78 1905-1981 375 0.595 6.305 301.871 0.107 5.123 0.116 5.554 0.000 0.000 6.082 291.208 5834.496 279357.1679 0.61 0.607 0.61372-75 1829-1905 374 0.526 7.380 353.343 0.100 4.788 0.113 5.410 0.000 0.000 7.162 342.918 5841.658 279700.0863 0.54 0.537 0.543

* 67-72 1702-1829 373 0.436 14.635 700.718 0.151 7.230 0.182 8.714 3.382 161.922 10.92 522.852 5852.578 280222.9388 0.579 0.576 0.582

63-67 1600-1702 372 0.606 8.179 391.636 0.106 5.075 0.140 6.703 0.000 0.000 7.928 379.595 5860.506 280602.5334 0.618 0.615 0.62160-63 1524-1600 371 0.445 8.652 414.264 0.071 3.399 0.102 4.884 0.000 0.000 8.477 405.881 5868.983 281008.4144 0.456 0.454 0.45857-60 1448-1524 370 0.393 9.452 452.558 0.064 3.064 0.100 4.788 0.000 0.000 9.283 444.472 5878.266 281452.8868 0.404 0.402 0.40653-57 1346-1448 369 0.364 13.217 632.835 0.073 3.495 0.129 6.177 0.000 0.000 13.01 622.922 5891.276 282075.8089 0.373 0.371 0.375

* 46-53 1168-1346 368 0.247 27.379 1310.925 0.092 4.405 0.214 10.246 -0.237 -11.336 27.31 1307.610 5918.586 283383.4188 0.249 0.248 0.250

43-46 1092-1168 367 0.117 13.762 658.944 0.023 1.101 0.087 4.166 0.000 0.000 13.65 653.566 5932.236 284036.9843 0.124 0.123 0.12537-43 940-1092 366 0.053 29.503 1412.626 0.021 1.005 0.068 3.256 0.000 0.000 29.4 1407.680 5961.636 285444.6638 0.056 0.053 0.059

* 25-37 635-940 365 0.042 59.708 2858.821 0.004 0.192 0.000 0.000 0.244 11.669 59.46 2846.960 6021.096 288291.6239 0.046 0.044 0.048

13-25 330-635 364 0.035 60.134 2879.211 0.004 0.192 0.000 0.000 0.000 0.000 60.11 2878.082 6081.206 291169.7061 0.035 0.033 0.037

* 0-13 0-330 363 0.022 66.044 3162.183 0.004 0.192 0.000 0.000 -0.270 -12.948 66.31 3174.940 6147.516 294344.646 0.018 0.017 0.019

Results for RBHT Test 1683

Valid Time Period 3679 to 3750 seconds

Collapsed Liquid Level = 79.198 inches = 2011.63 mm

 (Zosv) Onset of Significant Void = 40 inches = 1016 mm

Table A-281 Data Results for RBHT Test 1683 for Time Period 3679 to 3750 seconds
A-846

Table A-282 Energy Balance Results for RBHT Test 1683H for Time Period 3679 to 3750 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4657.6799 14.693 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

0.25 6.35 4916.4399 15.509 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

0.50 12.70 5175.1999 16.326 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

0.75 19.05 5433.9599 17.142 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

1.00 25.40 5692.7199 17.958 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

1.25 31.75 5951.4799 18.774 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

1.50 38.10 6210.2399 19.591 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

1.75 44.45 6468.9999 20.407 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

2.00 50.80 6727.7599 21.223 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

2.25 57.15 6986.5199 22.039 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

2.50 63.50 7245.2799 22.856 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

2.75 69.85 7504.0399 23.672 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

3.00 76.20 7762.7999 24.488 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

3.25 82.55 8021.5599 25.305 0.00E+00 0.00E+00 0.00E+00 8.62E-02 3.91E-02

3.50 88.90 8280.3199 26.121 4.78E-03 2.52E-01 1.14E-01 8.58E-02 3.89E-02

3.75 95.25 8539.0799 26.937 1.52E-02 8.04E-01 3.65E-01 8.49E-02 3.85E-02

4.00 101.60 8797.8399 27.753 2.60E-02 1.37E+00 6.23E-01 8.40E-02 3.81E-02

4.25 107.95 9056.5999 28.57 3.71E-02 1.96E+00 8.89E-01 8.30E-02 3.77E-02

4.50 114.30 9315.3599 29.386 4.86E-02 2.56E+00 1.16E+00 8.20E-02 3.72E-02

4.75 120.65 9574.1199 30.202 6.03E-02 3.18E+00 1.44E+00 8.10E-02 3.67E-02

5.00 127.00 9832.8798 31.019 7.24E-02 3.82E+00 1.73E+00 8.00E-02 3.63E-02

5.25 133.35 10091.64 31.835 8.48E-02 4.47E+00 2.03E+00 7.89E-02 3.58E-02

5.50 139.70 10350.4 32.651 9.75E-02 5.15E+00 2.33E+00 7.78E-02 3.53E-02

5.75 146.05 10609.16 33.467 1.11E-01 5.83E+00 2.65E+00 7.67E-02 3.48E-02

6.00 152.40 10867.92 34.284 1.24E-01 6.54E+00 2.97E+00 7.55E-02 3.43E-02

6.25 158.75 11126.68 35.1 1.38E-01 7.26E+00 3.29E+00 7.43E-02 3.37E-02

6.50 165.10 11385.44 35.916 1.52E-01 8.00E+00 3.63E+00 7.31E-02 3.32E-02

6.75 171.45 11644.2 36.732 1.66E-01 8.76E+00 3.97E+00 7.19E-02 3.26E-02

7.00 177.80 11902.96 37.549 1.81E-01 9.53E+00 4.32E+00 7.06E-02 3.20E-02

7.25 184.15 12161.72 38.365 1.96E-01 1.03E+01 4.68E+00 6.94E-02 3.15E-02

7.50 190.50 12420.48 39.181 2.11E-01 1.11E+01 5.05E+00 6.80E-02 3.09E-02

7.75 196.85 12679.24 39.998 2.27E-01 1.20E+01 5.42E+00 6.67E-02 3.02E-02

8.00 203.20 12938 40.814 2.42E-01 1.28E+01 5.80E+00 6.53E-02 2.96E-02

8.25 209.55 13196.76 41.63 2.59E-01 1.37E+01 6.19E+00 6.39E-02 2.90E-02

8.50 215.90 13455.52 42.446 2.75E-01 1.45E+01 6.59E+00 6.25E-02 2.83E-02

8.75 222.25 13714.28 43.263 2.92E-01 1.54E+01 6.99E+00 6.10E-02 2.77E-02

9.00 228.60 13973.04 44.079 3.09E-01 1.63E+01 7.41E+00 5.95E-02 2.70E-02

9.25 234.95 13196.76 41.63 3.26E-01 1.72E+01 7.81E+00 5.81E-02 2.63E-02

9.50 241.30 12420.48 39.181 3.42E-01 1.81E+01 8.19E+00 5.67E-02 2.57E-02

9.75 247.65 11644.2 36.732 3.57E-01 1.89E+01 8.55E+00 5.54E-02 2.51E-02

10.00 254.00 10867.92 34.284 3.71E-01 1.96E+01 8.89E+00 5.42E-02 2.46E-02

10.25 260.35 10091.64 31.835 3.84E-01 2.03E+01 9.20E+00 5.31E-02 2.41E-02

10.50 266.70 9315.3599 29.386 3.96E-01 2.09E+01 9.49E+00 5.20E-02 2.36E-02

10.75 273.05 8539.0799 26.937 4.07E-01 2.15E+01 9.75E+00 5.11E-02 2.32E-02

11.00 279.40 7762.7999 24.488 4.18E-01 2.20E+01 9.99E+00 5.02E-02 2.28E-02

11.25 285.75 6986.5199 22.039 4.27E-01 2.25E+01 1.02E+01 4.94E-02 2.24E-02

11.50 292.10 6210.2399 19.591 4.35E-01 2.30E+01 1.04E+01 4.87E-02 2.21E-02

11.75 298.45 5433.9599 17.142 4.42E-01 2.33E+01 1.06E+01 4.81E-02 2.18E-02

12.00 304.80 4657.6799 14.693 4.49E-01 2.37E+01 1.07E+01 4.75E-02 2.16E-02

Results for RBHT Test 1683

Valid Time Period 3679 to 3750 seconds
A-847

Figure A-705 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683H for Time Period 3679 to 3750 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-848

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-I 

Test Conditions

Date: 7/23/2003

Steady-state time window: 1100 – 1200 seconds

Inlet flow rate: 1.984 cm/sec (0.781 in./sec) 

Inlet mass flow rate: 0.093 kg/sec (0.206 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-849

Figure A-706 Inlet Flow Plot for Experiment 1683I 

Figure A-707 Inlet Temperature Plot for Experiment 1683I 
A-850

Figure A-708 System Pressure Plot for Experiment 1683I 

Figure A-709 Bundle Power Plot for Experiment 1683I 
A-851

Table A-283: Data Results for RBHT Test 1683 for Time Period 1100 to 1200 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.865 7.691 368.262 0.726 34.761 0.179 8.571 0.000 0.000 6.784 324.820 5766.784 276115.1 0.881 0.877 0.885

* 120-133 3048-3378 383 0.809 12.874 616.423 0.796 38.113 0.320 15.322 2.832 135.610 8.926 427.379 5775.71 276542.4792 0.868 0.864 0.872

* 108-120 2743-3048 382 0.756 15.196 727.573 0.652 31.218 0.399 19.104 4.229 202.470 9.916 474.781 5785.626 277017.2598 0.841 0.837 0.845

100-108 2540-2743 381 0.811 7.847 375.722 0.381 18.242 0.292 13.981 0.000 0.000 7.169 343.254 5792.795 277360.5133 0.827 0.823 0.831

97-100 2464-2540 380 0.760 3.744 179.282 0.132 6.320 0.106 5.075 0.000 0.000 3.506 167.868 5796.301 277528.3815 0.775 0.771 0.779

93-97 2362-2464 379 0.764 4.903 234.733 0.166 7.948 0.138 6.607 0.000 0.000 4.598 220.153 5800.899 277748.535 0.779 0.775 0.783

* 85-93 2159-2362 378 0.595 16.847 806.646 0.301 14.412 0.264 12.640 6.922 331.435 9.36 448.159 5810.259 278196.6942 0.775 0.771 0.779

81-85 2057-2159 377 0.758 5.027 240.701 0.135 6.464 0.127 6.081 0.000 0.000 4.762 228.006 5815.021 278424.6999 0.771 0.767 0.77578-81 1981-2057 376 0.721 4.347 208.127 0.095 4.549 0.092 4.405 0.000 0.000 4.158 199.086 5819.179 278623.786 0.733 0.729 0.73775-78 1905-1981 375 0.636 5.676 271.783 0.090 4.309 0.090 4.309 0.000 0.000 5.494 263.054 5824.673 278886.8402 0.647 0.644 0.65072-75 1829-1905 374 0.573 6.653 318.531 0.084 4.022 0.088 4.213 0.000 0.000 6.48 310.264 5831.153 279197.1042 0.584 0.581 0.587

* 67-72 1702-1829 373 0.472 13.721 656.954 0.129 6.177 0.143 6.847 3.916 187.488 9.533 456.442 5840.686 279653.5467 0.633 0.630 0.636

63-67 1600-1702 372 0.672 6.819 326.488 0.092 4.405 0.110 5.267 0.000 0.000 6.614 316.680 5847.3 279970.2268 0.682 0.679 0.68560-63 1524-1600 371 0.508 7.665 367.019 0.063 3.016 0.080 3.830 0.000 0.000 7.518 359.964 5854.818 280330.1905 0.517 0.514 0.52057-60 1448-1524 370 0.451 8.559 409.788 0.058 2.777 0.078 3.735 0.000 0.000 8.418 403.056 5863.236 280733.2465 0.46 0.458 0.46253-57 1346-1448 369 0.429 11.867 568.183 0.069 3.304 0.101 4.836 0.000 0.000 11.69 559.720 5874.926 281292.9667 0.437 0.435 0.439

* 46-53 1168-1346 368 0.312 25.001 1197.039 0.097 4.644 0.167 7.996 3.667 175.562 21.07 1008.837 5895.996 282301.8038 0.42 0.418 0.422

43-46 1092-1168 367 0.397 9.390 449.574 0.032 1.532 0.068 3.256 0.000 0.000 9.286 444.616 5905.282 282746.4198 0.404 0.402 0.40637-43 940-1092 366 0.212 24.544 1175.158 0.044 2.107 0.130 6.224 0.000 0.000 24.36 1166.363 5929.642 283912.7829 0.218 0.217 0.219

* 25-37 635-940 365 0.050 59.220 2835.447 0.036 1.724 0.066 3.160 4.818 230.665 54.3 2599.898 5983.942 286512.6808 0.128 0.127 0.129

13-25 330-635 364 0.039 59.900 2868.021 0.002 0.096 0.000 0.000 0.000 0.000 59.88 2867.070 6043.822 289379.7506 0.039 0.037 0.041

* 0-13 0-330 363 0.023 65.966 3158.454 0.003 0.144 0.000 0.000 -0.217 -10.405 66.18 3168.715 6110.002 292548.466 0.019 0.018 0.020

Results for RBHT Test 1683

Valid Time Period 1100 to 1200 seconds

Collapsed Liquid Level = 73.552 inches = 1868.22 mm

 (Zosv) Onset of Significant Void = 31 inches = 787.5 mm

Table A-283 Data Results for RBHT Test 1683 for Time Period 1100 to 1200 seconds
A-852

Table A-284 Energy Balance Results for RBHT Test 1683I for Time Period 1100 to 1200 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4652.5449 14.677 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

0.25 6.35 4911.0196 15.492 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

0.50 12.70 5169.4943 16.308 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

0.75 19.05 5427.9691 17.123 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

1.00 25.40 5686.4438 17.938 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

1.25 31.75 5944.9185 18.754 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

1.50 38.10 6203.3932 19.569 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

1.75 44.45 6461.8679 20.384 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

2.00 50.80 6720.3426 21.2 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

2.25 57.15 6978.8174 22.015 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

2.50 63.50 7237.2921 22.831 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

2.75 69.85 7495.7668 23.646 0.00E+00 0.00E+00 0.00E+00 6.75E-02 3.06E-02

3.00 76.20 7754.2415 24.461 8.83E-03 3.65E-01 1.66E-01 6.69E-02 3.04E-02

3.25 82.55 8012.7162 25.277 2.14E-02 8.83E-01 4.00E-01 6.61E-02 3.00E-02

3.50 88.90 8271.1909 26.092 3.43E-02 1.42E+00 6.43E-01 6.52E-02 2.96E-02

3.75 95.25 8529.6657 26.907 4.76E-02 1.97E+00 8.93E-01 6.43E-02 2.92E-02

4.00 101.60 8788.1404 27.723 6.14E-02 2.54E+00 1.15E+00 6.34E-02 2.87E-02

4.25 107.95 9046.6151 28.538 7.56E-02 3.12E+00 1.42E+00 6.24E-02 2.83E-02

4.50 114.30 9305.0898 29.354 9.01E-02 3.73E+00 1.69E+00 6.14E-02 2.79E-02

4.75 120.65 9563.5645 30.169 1.05E-01 4.34E+00 1.97E+00 6.04E-02 2.74E-02

5.00 127.00 9822.0392 30.984 1.21E-01 4.98E+00 2.26E+00 5.94E-02 2.69E-02

5.25 133.35 10080.514 31.8 1.36E-01 5.63E+00 2.56E+00 5.83E-02 2.65E-02

5.50 139.70 10338.989 32.615 1.53E-01 6.31E+00 2.86E+00 5.72E-02 2.60E-02

5.75 146.05 10597.463 33.43 1.69E-01 6.99E+00 3.17E+00 5.61E-02 2.54E-02

6.00 152.40 10855.938 34.246 1.86E-01 7.70E+00 3.49E+00 5.50E-02 2.49E-02

6.25 158.75 11114.413 35.061 2.04E-01 8.42E+00 3.82E+00 5.38E-02 2.44E-02

6.50 165.10 11372.888 35.877 2.22E-01 9.16E+00 4.15E+00 5.26E-02 2.38E-02

6.75 171.45 11631.362 36.692 2.40E-01 9.91E+00 4.50E+00 5.13E-02 2.33E-02

7.00 177.80 11889.837 37.507 2.59E-01 1.07E+01 4.85E+00 5.01E-02 2.27E-02

7.25 184.15 12148.312 38.323 2.78E-01 1.15E+01 5.20E+00 4.88E-02 2.21E-02

7.50 190.50 12406.786 39.138 2.97E-01 1.23E+01 5.57E+00 4.75E-02 2.15E-02

7.75 196.85 12665.261 39.953 3.17E-01 1.31E+01 5.94E+00 4.61E-02 2.09E-02

8.00 203.20 12923.736 40.769 3.37E-01 1.39E+01 6.32E+00 4.47E-02 2.03E-02

8.25 209.55 13182.211 41.584 3.58E-01 1.48E+01 6.71E+00 4.33E-02 1.97E-02

8.50 215.90 13440.685 42.4 3.79E-01 1.57E+01 7.11E+00 4.19E-02 1.90E-02

8.75 222.25 13699.16 43.215 4.01E-01 1.66E+01 7.51E+00 4.05E-02 1.84E-02

9.00 228.60 13957.635 44.03 4.23E-01 1.75E+01 7.93E+00 3.90E-02 1.77E-02

9.25 234.95 13182.211 41.584 4.44E-01 1.84E+01 8.33E+00 3.75E-02 1.70E-02

9.50 241.30 12406.786 39.138 4.65E-01 1.92E+01 8.71E+00 3.62E-02 1.64E-02

9.75 247.65 11631.362 36.692 4.84E-01 2.00E+01 9.07E+00 3.49E-02 1.58E-02

10.00 254.00 10855.938 34.246 5.02E-01 2.07E+01 9.40E+00 3.37E-02 1.53E-02

10.25 260.35 10080.514 31.8 5.18E-01 2.14E+01 9.72E+00 3.25E-02 1.48E-02

10.50 266.70 9305.0898 29.354 5.34E-01 2.21E+01 1.00E+01 3.15E-02 1.43E-02

10.75 273.05 8529.6657 26.907 5.48E-01 2.26E+01 1.03E+01 3.05E-02 1.38E-02

11.00 279.40 7754.2415 24.461 5.61E-01 2.32E+01 1.05E+01 2.97E-02 1.35E-02

11.25 285.75 6978.8174 22.015 5.72E-01 2.37E+01 1.07E+01 2.89E-02 1.31E-02

11.50 292.10 6203.3932 19.569 5.83E-01 2.41E+01 1.09E+01 2.82E-02 1.28E-02

11.75 298.45 5427.9691 17.123 5.92E-01 2.45E+01 1.11E+01 2.75E-02 1.25E-02

12.00 304.80 4652.5449 14.677 6.00E-01 2.48E+01 1.13E+01 2.70E-02 1.22E-02

Results for RBHT Test 1683

Valid Time Period 1100 to 1200 seconds
A-853

Figure A-710 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683I for Time Period 1100 to 1200 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-854

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-J 

Test Conditions

Date: 7/23/2003

Steady-state time window: 4110 – 4260 seconds

Inlet flow rate: 1.521 cm/sec (0.599 in./sec) 

Inlet mass flow rate: 0.072 kg/sec (0.158 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-855

Figure A-711 Inlet Flow Plot for Experiment 1683J 

Figure A-712 Inlet Temperature Plot for Experiment 1683J 
A-856

Figure A-713 System Pressure Plot for Experiment 1683J 

Figure A-714 Bundle Power Plot for Experiment 1683J 
A-857

Table A-285: Data Results for RBHT Test 1683 for Time Period 4110 to 4260 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.903 5.557 266.064 0.569 27.244 0.138 6.607 0.000 0.000 4.85 232.219 5764.85 276022.4996 0.915 0.910 0.920

* 120-133 3048-3378 383 0.857 9.644 461.758 0.630 30.165 0.246 11.779 2.141 102.512 6.627 317.302 5771.477 276339.802 0.902 0.897 0.907

* 108-120 2743-3048 382 0.805 12.178 583.103 0.519 24.850 0.307 14.699 3.583 171.572 7.769 371.982 5779.246 276711.7837 0.875 0.871 0.879

100-108 2540-2743 381 0.849 6.263 299.882 0.305 14.603 0.224 10.725 0.000 0.000 5.73 274.354 5784.976 276986.1376 0.862 0.858 0.866

97-100 2464-2540 380 0.800 3.121 149.443 0.105 5.027 0.081 3.878 0.000 0.000 2.933 140.433 5787.909 277126.5704 0.812 0.808 0.816

93-97 2362-2464 379 0.799 4.181 200.170 0.133 6.368 0.106 5.075 0.000 0.000 3.943 188.792 5791.852 277315.3623 0.81 0.806 0.814

* 85-93 2159-2362 378 0.652 14.474 693.010 0.242 11.587 0.203 9.720 5.932 284.017 8.097 387.686 5799.949 277703.0487 0.805 0.801 0.809

81-85 2057-2159 377 0.790 4.362 208.873 0.109 5.219 0.097 4.644 0.000 0.000 4.154 198.895 5804.103 277901.9433 0.8 0.796 0.80478-81 1981-2057 376 0.769 3.594 172.071 0.077 3.687 0.071 3.399 0.000 0.000 3.447 165.043 5807.55 278066.9865 0.779 0.775 0.78375-78 1905-1981 375 0.688 4.861 232.744 0.073 3.495 0.069 3.304 0.000 0.000 4.716 225.803 5812.266 278292.7898 0.697 0.694 0.70072-75 1829-1905 374 0.634 5.707 273.275 0.069 3.304 0.068 3.256 0.000 0.000 5.571 266.741 5817.837 278559.5307 0.642 0.639 0.645

* 67-72 1702-1829 373 0.494 13.139 629.105 0.106 5.075 0.110 5.267 4.645 222.410 8.278 396.353 5826.115 278955.8835 0.681 0.678 0.684

63-67 1600-1702 372 0.712 5.978 286.205 0.077 3.687 0.084 4.022 0.000 0.000 5.817 278.519 5831.932 279234.403 0.72 0.716 0.72460-63 1524-1600 371 0.594 6.331 303.114 0.053 2.538 0.061 2.921 0.000 0.000 6.213 297.480 5838.145 279531.883 0.601 0.598 0.60457-60 1448-1524 370 0.510 7.629 365.279 0.049 2.346 0.060 2.873 0.000 0.000 7.518 359.964 5845.663 279891.8468 0.517 0.514 0.52053-57 1346-1448 369 0.486 10.688 511.738 0.060 2.873 0.077 3.687 0.000 0.000 10.55 505.137 5856.213 280396.9835 0.492 0.490 0.494

* 46-53 1168-1346 368 0.358 23.334 1117.220 0.088 4.213 0.129 6.177 4.767 228.228 18.35 878.603 5874.563 281275.5862 0.495 0.493 0.497

43-46 1092-1168 367 0.493 7.899 378.209 0.031 1.484 0.052 2.490 0.000 0.000 7.814 374.136 5882.377 281649.7225 0.498 0.496 0.50037-43 940-1092 366 0.435 17.605 842.951 0.051 2.442 0.100 4.788 0.000 0.000 17.45 835.510 5899.827 282485.233 0.44 0.438 0.442

* 25-37 635-940 365 0.158 52.479 2512.689 0.054 2.586 0.155 7.421 5.060 242.255 47.21 2260.427 5947.037 284745.6599 0.242 0.241 0.243

13-25 330-635 364 0.045 59.531 2850.366 0.001 0.048 0.000 0.000 0.000 0.000 59.51 2849.354 6006.547 287595.014 0.045 0.043 0.047

* 0-13 0-330 363 0.024 65.862 3153.480 0.002 0.096 0.000 0.000 -0.120 -5.755 65.98 3159.139 6072.527 290754.1534 0.022 0.021 0.023

Results for RBHT Test 1683

Valid Time Period 4110 to 4260 seconds

Collapsed Liquid Level = 66.383 inches = 1686.12 mm

 (Zosv) Onset of Significant Void = 31 inches = 787.5 mm

Table A-285 Data Results for RBHT Test 1683 for Time Period 4110 to 4260 seconds
A-858

Table A-286 Energy Balance Results for RBHT Test 1683J for Time Period 4110 to 4260 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4662.9085 14.709 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

0.25 6.35 4921.959 15.527 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

0.50 12.70 5181.0095 16.344 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

0.75 19.05 5440.0599 17.161 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

1.00 25.40 5699.1104 17.978 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

1.25 31.75 5958.1609 18.795 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

1.50 38.10 6217.2114 19.613 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

1.75 44.45 6476.2618 20.43 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

2.00 50.80 6735.3123 21.247 0.00E+00 0.00E+00 0.00E+00 5.18E-02 2.35E-02

2.25 57.15 6994.3628 22.064 7.90E-04 2.50E-02 1.14E-02 5.17E-02 2.35E-02

2.50 63.50 7253.4133 22.881 1.56E-02 4.93E-01 2.24E-01 5.10E-02 2.31E-02

2.75 69.85 7512.4637 23.699 3.08E-02 9.78E-01 4.43E-01 5.02E-02 2.28E-02

3.00 76.20 7771.5142 24.516 4.67E-02 1.48E+00 6.71E-01 4.94E-02 2.24E-02

3.25 82.55 8030.5647 25.333 6.31E-02 2.00E+00 9.07E-01 4.85E-02 2.20E-02

3.50 88.90 8289.6152 26.15 8.00E-02 2.53E+00 1.15E+00 4.76E-02 2.16E-02

3.75 95.25 8548.6656 26.967 9.74E-02 3.09E+00 1.40E+00 4.67E-02 2.12E-02

4.00 101.60 8807.7161 27.785 1.15E-01 3.66E+00 1.66E+00 4.58E-02 2.08E-02

4.25 107.95 9066.7666 28.602 1.34E-01 4.24E+00 1.93E+00 4.48E-02 2.03E-02

4.50 114.30 9325.8171 29.419 1.53E-01 4.85E+00 2.20E+00 4.39E-02 1.99E-02

4.75 120.65 9584.8675 30.236 1.73E-01 5.47E+00 2.48E+00 4.28E-02 1.94E-02

5.00 127.00 9843.918 31.053 1.93E-01 6.11E+00 2.77E+00 4.18E-02 1.90E-02

5.25 133.35 10102.968 31.871 2.13E-01 6.76E+00 3.07E+00 4.07E-02 1.85E-02

5.50 139.70 10362.019 32.688 2.35E-01 7.43E+00 3.37E+00 3.96E-02 1.80E-02

5.75 146.05 10621.069 33.505 2.56E-01 8.12E+00 3.69E+00 3.85E-02 1.75E-02

6.00 152.40 10880.12 34.322 2.79E-01 8.83E+00 4.00E+00 3.74E-02 1.69E-02

6.25 158.75 11139.17 35.139 3.01E-01 9.55E+00 4.33E+00 3.62E-02 1.64E-02

6.50 165.10 11398.221 35.957 3.25E-01 1.03E+01 4.67E+00 3.50E-02 1.59E-02

6.75 171.45 11657.271 36.774 3.49E-01 1.11E+01 5.01E+00 3.37E-02 1.53E-02

7.00 177.80 11916.322 37.591 3.73E-01 1.18E+01 5.36E+00 3.25E-02 1.47E-02

7.25 184.15 12175.372 38.408 3.98E-01 1.26E+01 5.72E+00 3.12E-02 1.41E-02

7.50 190.50 12434.423 39.225 4.23E-01 1.34E+01 6.09E+00 2.99E-02 1.35E-02

7.75 196.85 12693.473 40.042 4.50E-01 1.42E+01 6.46E+00 2.85E-02 1.29E-02

8.00 203.20 12952.524 40.86 4.76E-01 1.51E+01 6.84E+00 2.71E-02 1.23E-02

8.25 209.55 13211.574 41.677 5.03E-01 1.59E+01 7.23E+00 2.57E-02 1.17E-02

8.50 215.90 13470.625 42.494 5.31E-01 1.68E+01 7.63E+00 2.43E-02 1.10E-02

8.75 222.25 13729.675 43.311 5.59E-01 1.77E+01 8.04E+00 2.28E-02 1.04E-02

9.00 228.60 13988.726 44.128 5.88E-01 1.86E+01 8.45E+00 2.13E-02 9.68E-03

9.25 234.95 13211.574 41.677 6.16E-01 1.95E+01 8.85E+00 1.99E-02 9.02E-03

9.50 241.30 12434.423 39.225 6.42E-01 2.04E+01 9.24E+00 1.85E-02 8.40E-03

9.75 247.65 11657.271 36.774 6.67E-01 2.12E+01 9.59E+00 1.72E-02 7.81E-03

10.00 254.00 10880.12 34.322 6.91E-01 2.19E+01 9.93E+00 1.60E-02 7.26E-03

10.25 260.35 10102.968 31.871 7.12E-01 2.26E+01 1.02E+01 1.49E-02 6.75E-03

10.50 266.70 9325.8171 29.419 7.33E-01 2.32E+01 1.05E+01 1.38E-02 6.28E-03

10.75 273.05 8548.6656 26.967 7.51E-01 2.38E+01 1.08E+01 1.29E-02 5.85E-03

11.00 279.40 7771.5142 24.516 7.68E-01 2.43E+01 1.10E+01 1.20E-02 5.45E-03

11.25 285.75 6994.3628 22.064 7.83E-01 2.48E+01 1.13E+01 1.12E-02 5.09E-03

11.50 292.10 6217.2114 19.613 7.97E-01 2.53E+01 1.15E+01 1.05E-02 4.77E-03

11.75 298.45 5440.0599 17.161 8.09E-01 2.56E+01 1.16E+01 9.89E-03 4.49E-03

12.00 304.80 4662.9085 14.709 8.20E-01 2.60E+01 1.18E+01 9.35E-03 4.24E-03

Results for RBHT Test 1683

Valid Time Period 4110 to 4260 seconds
A-859

Figure A-715 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683J for Time Period 4110 to 4260 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction
A-860

RBHT Two-Phase Mixture Level and Uncovery Test INT-1683-K 

Test Conditions

Date: 7/23/2003

Steady-state time window: 4545 – 4845 seconds

Inlet flow rate: 1.013 cm/sec (0.399 in./sec) 

Inlet mass flow rate: 0.048 kg/sec (0.105 lbm/sec) 

Inlet flow temperature: 348.4 K (167.4 oF)

Upper plenum pressure: 271.7 kPa (39.4 psia)

Bundle power: 144.41 kW 
A-861

Figure A-716 Inlet Flow Plot for Experiment 1683K 

Figure A-717 Inlet Temperature Plot for Experiment 1683K 
A-862

Figure A-718 System Pressure Plot for Experiment 1683K 

Figure A-719 Bundle Power Plot for Experiment 1683K 
A-863

Table A-287: Data Results for RBHT Test 1683 for Time Period 4545 to 4845 seconds Grids Elevation Elevation Chan. αuncorrected ΔPuncorrected ΔPuncorrected ΔPfric ΔPfric ΔPaccel ΔPaccel ΔPgrid ΔPgrid ΔPcorrected ΔPcorrected Plocal Plocal αcorrected αmin αmax (in) (mm) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa) (lbf/ft2

) (Pa)

133-144 3378-3658 384 0.964 2.067 98.966 0.175 8.379 0.000 0.000 0.000 0.000 1.89 90.494 5761.89 275880.774 0.967 0.962 0.972

* 120-133 3048-3378 383 0.935 4.378 209.619 0.206 9.863 0.000 0.000 0.639 30.594 3.533 169.161 5765.423 276049.935 0.948 0.943 0.953

* 108-120 2743-3048 382 0.875 7.800 373.484 0.302 14.460 0.082 3.926 1.756 84.096 5.66 271.002 5771.083 276320.9372 0.909 0.904 0.914

100-108 2540-2743 381 0.881 4.928 235.976 0.203 9.720 0.150 7.182 0.000 0.000 4.573 218.956 5775.656 276539.8936 0.89 0.886 0.894

97-100 2464-2540 380 0.821 2.784 133.281 0.072 3.447 0.054 2.586 0.000 0.000 2.654 127.074 5778.31 276666.9678 0.83 0.826 0.834

93-97 2362-2464 379 0.813 3.879 185.748 0.092 4.405 0.071 3.399 0.000 0.000 3.715 177.875 5782.025 276844.843 0.821 0.817 0.825

* 85-93 2159-2362 378 0.692 12.817 613.688 0.169 8.092 0.136 6.512 4.785 229.114 7.727 369.971 5789.752 277214.8137 0.814 0.810 0.818

81-85 2057-2159 377 0.800 4.155 198.926 0.076 3.639 0.065 3.112 0.000 0.000 4.012 192.096 5793.764 277406.9093 0.807 0.803 0.811

78-81 1981-2057 376 0.794 3.209 153.671 0.054 2.586 0.047 2.250 0.000 0.000 3.106 148.716 5796.87 277555.6254 0.801 0.797 0.805

75-78 1905-1981 375 0.719 4.378 209.619 0.051 2.442 0.046 2.202 0.000 0.000 4.278 204.832 5801.148 277760.4571 0.725 0.721 0.729

72-75 1829-1905 374 0.681 4.970 237.966 0.048 2.298 0.045 2.155 0.000 0.000 4.874 233.368 5806.022 277993.8255 0.687 0.684 0.690

* 67-72 1702-1829 373 0.530 12.215 584.844 0.075 3.591 0.073 3.495 4.122 197.349 7.945 380.409 5813.967 278374.2341 0.694 0.691 0.697

63-67 1600-1702 372 0.696 6.325 302.865 0.055 2.633 0.056 2.681 0.000 0.000 6.213 297.480 5820.18 278671.7142 0.701 0.697 0.705

60-63 1524-1600 371 0.621 5.905 282.724 0.038 1.819 0.041 1.963 0.000 0.000 5.822 278.759 5826.002 278950.473 0.626 0.623 0.629

57-60 1448-1524 370 0.570 6.694 320.520 0.035 1.676 0.040 1.915 0.000 0.000 6.615 316.728 5832.617 279267.2009 0.575 0.572 0.578

53-57 1346-1448 369 0.506 10.272 491.845 0.044 2.107 0.052 2.490 0.000 0.000 10.18 487.421 5842.797 279754.622 0.51 0.507 0.513

* 46-53 1168-1346 368 0.383 22.430 1073.954 0.066 3.160 0.086 4.118 4.598 220.153 17.68 846.523 5860.477 280601.1449 0.514 0.511 0.517

43-46 1092-1168 367 0.513 7.582 363.041 0.024 1.149 0.035 1.676 0.000 0.000 7.52 360.060 5867.997 280961.2044 0.517 0.514 0.520

37-43 940-1092 366 0.490 15.886 760.645 0.042 2.011 0.067 3.208 0.000 0.000 15.77 755.072 5883.767 281716.2761 0.494 0.492 0.496

* 25-37 635-940 365 0.306 43.281 2072.316 0.056 2.681 0.121 5.794 -0.216 -10.332 43.32 2074.173 5927.087 283790.4488 0.305 0.303 0.307

13-25 330-635 364 0.114 55.190 2642.488 0.022 1.053 0.055 2.633 0.000 0.000 55.09 2637.723 5982.177 286428.1722 0.116 0.115 0.117

* 0-13 0-330 363 0.028 65.638 3142.788 0.001 0.048 0.000 0.000 2.047 98.035 63.59 3044.706 6045.767 289472.8777 0.058 0.055 0.061

 (Z2φ) Two-Phase Level (Dryout) = 115.60 inches = 2936.24 mm

 (S) Level Swell = 2.634

Results for RBHT Test 1683

Valid Time Period 4545 to 4845 seconds

Collapsed Liquid Level = 55.636 inches = 1413.16 mm

 (Zosv) Onset of Significant Void = 6.5 inches = 165 mm

Table A-287 Data Results for RBHT Test 1683 for Time Period 4545 to 4845 seconds
A-864

Table A-288 Energy Balance Results for RBHT Test 1683K for Time Period 4545 to 4845 seconds

Elevation Elevation q"w q"w x Jg Jg Jf Jf

(in) (mm) BTU/hr-ft2 KW/m2 (ft/sec) (m/sec) (ft/sec) (m/sec)

0.00 0.00 4667.1372 14.723 0.00E+00 0.00E+00 0.00E+00 3.45E-02 1.56E-02

0.25 6.35 4926.4226 15.541 0.00E+00 0.00E+00 0.00E+00 3.45E-02 1.56E-02

0.50 12.70 5185.708 16.359 0.00E+00 0.00E+00 0.00E+00 3.45E-02 1.56E-02

0.75 19.05 5444.9934 17.177 0.00E+00 0.00E+00 0.00E+00 3.45E-02 1.56E-02

1.00 25.40 5704.2788 17.995 0.00E+00 0.00E+00 0.00E+00 3.45E-02 1.56E-02

1.25 31.75 5963.5642 18.812 0.00E+00 0.00E+00 0.00E+00 3.45E-02 1.56E-02

1.50 38.10 6222.8495 19.63 0.00E+00 0.00E+00 0.00E+00 3.45E-02 1.56E-02

1.75 44.45 6482.1349 20.448 1.37E-02 2.90E-01 1.32E-01 3.40E-02 1.54E-02

2.00 50.80 6741.4203 21.266 3.43E-02 7.25E-01 3.29E-01 3.33E-02 1.51E-02

2.25 57.15 7000.7057 22.084 5.57E-02 1.18E+00 5.34E-01 3.25E-02 1.48E-02

2.50 63.50 7259.9911 22.902 7.79E-02 1.65E+00 7.47E-01 3.18E-02 1.44E-02

2.75 69.85 7519.2765 23.72 1.01E-01 2.13E+00 9.68E-01 3.10E-02 1.41E-02

3.00 76.20 7778.5619 24.538 1.25E-01 2.64E+00 1.20E+00 3.02E-02 1.37E-02

3.25 82.55 8037.8473 25.356 1.49E-01 3.16E+00 1.43E+00 2.93E-02 1.33E-02

3.50 88.90 8297.1327 26.174 1.75E-01 3.69E+00 1.68E+00 2.84E-02 1.29E-02

3.75 95.25 8556.4181 26.992 2.01E-01 4.25E+00 1.93E+00 2.75E-02 1.25E-02

4.00 101.60 8815.7035 27.81 2.28E-01 4.82E+00 2.19E+00 2.66E-02 1.21E-02

4.25 107.95 9074.9889 28.628 2.56E-01 5.41E+00 2.45E+00 2.56E-02 1.16E-02

4.50 114.30 9334.2743 29.446 2.84E-01 6.01E+00 2.73E+00 2.47E-02 1.12E-02

4.75 120.65 9593.5597 30.264 3.14E-01 6.64E+00 3.01E+00 2.36E-02 1.07E-02

5.00 127.00 9852.8451 31.082 3.44E-01 7.28E+00 3.30E+00 2.26E-02 1.03E-02

5.25 133.35 10112.131 31.899 3.75E-01 7.93E+00 3.60E+00 2.15E-02 9.77E-03

5.50 139.70 10371.416 32.717 4.07E-01 8.61E+00 3.90E+00 2.04E-02 9.27E-03

5.75 146.05 10630.701 33.535 4.40E-01 9.30E+00 4.22E+00 1.93E-02 8.76E-03

6.00 152.40 10889.987 34.353 4.73E-01 1.00E+01 4.54E+00 1.82E-02 8.23E-03

6.25 158.75 11149.272 35.171 5.08E-01 1.07E+01 4.87E+00 1.70E-02 7.70E-03

6.50 165.10 11408.558 35.989 5.43E-01 1.15E+01 5.21E+00 1.58E-02 7.15E-03

6.75 171.45 11667.843 36.807 5.79E-01 1.22E+01 5.55E+00 1.45E-02 6.59E-03

7.00 177.80 11927.128 37.625 6.15E-01 1.30E+01 5.90E+00 1.33E-02 6.01E-03

7.25 184.15 12186.414 38.443 6.53E-01 1.38E+01 6.26E+00 1.20E-02 5.43E-03

7.50 190.50 12445.699 39.261 6.91E-01 1.46E+01 6.63E+00 1.06E-02 4.83E-03

7.75 196.85 12704.984 40.079 7.30E-01 1.54E+01 7.01E+00 9.29E-03 4.22E-03

8.00 203.20 12964.27 40.897 7.70E-01 1.63E+01 7.39E+00 7.92E-03 3.59E-03

8.25 209.55 13223.555 41.715 8.11E-01 1.72E+01 7.78E+00 6.51E-03 2.95E-03

8.50 215.90 13482.841 42.533 8.53E-01 1.80E+01 8.18E+00 5.08E-03 2.31E-03

8.75 222.25 13742.126 43.351 8.95E-01 1.89E+01 8.58E+00 3.62E-03 1.64E-03

9.00 228.60 14001.411 44.168 9.38E-01 1.98E+01 9.00E+00 2.13E-03 9.68E-04

9.25 234.95 13223.555 41.715 9.80E-01 2.07E+01 9.40E+00 6.75E-04 3.06E-04

9.50 241.30 12445.699 39.261 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

9.75 247.65 11667.843 36.807 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

10.00 254.00 10889.987 34.353 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

10.25 260.35 10112.131 31.899 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

10.50 266.70 9334.2743 29.446 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

10.75 273.05 8556.4181 26.992 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

11.00 279.40 7778.5619 24.538 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

11.25 285.75 7000.7057 22.084 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

11.50 292.10 6222.8495 19.63 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

11.75 298.45 5444.9934 17.177 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

12.00 304.80 4667.1372 14.723 1.00E+00 2.11E+01 9.59E+00 0.00E+00 0.00E+00

Results for RBHT Test 1683

Valid Time Period 4545 to 4845 seconds
A-865

Figure A-720 Void Fraction Comparison Plot Before and After Applying Corrections for 

Experiment 1683K for Time Period 4545 to 4845 seconds

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Uncorrected Void Fraction

Corrected Void Fraction

B-1

UNCERTAINTIES

The measurement errors in the calculations performed for the analysis are described herein. 

The first section contains the error analysis for temperature, pressure and flow measurements. 

The preceding section includes the description of the error analysis performed for the heat 

transfer calculations. The final section provides uncertainties for the droplet data 

measurements.

B.1 Measurement Uncertainty

The instrumentation error associated with the data from RBHT test series can be derived either 

from equipment manufacturers’ specifications or system calibration data. Component 

calibrations are performed to verify that the manufacturers’ specifications are met, and these 

manufacturers’ specifications are used to compute the error estimate for the data path. System 

calibrations are performed when component calibrations are not expedient or when an accuracy 

improvement could be accomplished with a system calibration. The system calibration data are 

used to compute an estimate of error for the system response, and calibration data points. The 

total system error from a system calibration is a function of both system response error and 

calibration data error.

In all cases of error estimate, the standard deviation has been computed and presented as the 

most probable error. The manufacturer-specified error is the maximum possible error. The 

standard deviation error is calculated from the maximum error by the following:

∑= 













 =

n

i

i

n

E

1

2

2 ρ (B-1)

where,

∆ = data path standard deviation

2 Ei = component i maximum error

n = number of sources of error

When a system calibration is performed, the standard deviation from the calibration data and 

that from the calibration equipment can be combined by the following equation to produce the 

best estimate of error:

22 ρ += EE cd (B-2)

where,

Ed = calibration data standard deviation

Ec = calibration equipment standard deviation
B-2

The calibration data standard deviation is a measure of the error involved in fitting the 

calibration data. That is,

1/ 2

1

2 ( )

























∑ − =

n

Y Y

E

n

i

i f

d (B-3)

where,

Yi = calibration point

Yf = predicted output from the calibrations curve

n = number of calibration points

The calibration equipment standard deviation is a measure of the absolute error of the 

calibration point. If the calibration point in the above equation is calculated from and equation of 

the form

1 2 3 Y = x .x .x (B-4)

then

∑= 













 = 













 n

i

y x

y x

i

1

2 2

σ σ (B-5)

and

2 Ec σ y (B-6)

The data path has been broken down into three parts called sensor, conditioner, and readout. 

The sensor is the device whose electrical output is proportional to a physical quantity 

(temperature, pressure, flow, power). The conditioner is a device which matches the electrical 

output of the sensor to the input requirements of the readout device. The readout device 

measures and records the electrical value of the signal from the conditioner. This recorded 

electrical value is subsequently used to compute the physical quantity it represents. The errors 

due to the transmission wire errors are very small (±0.001 percent) in comparison to the 

element errors and are considered negligible.

The error values for sensor, conditioning, and readout are the manufacturers’ specifications in 

engineering units. These numbers are used to compute the most probable error, as previously 

described. Where systems calibrations are performed, the equipment calibration data provide 

the standard deviation and maximum error as computed from the calibration data points in fitting 

the points to a first-order polynomial. The calibration point standard deviation is computed using 

the method described above. The calibration point maximum error occurs simultaneously in 

each component of the calibration equation. The overall system standard deviation may then 

be calculated using Equation (B-2).
B-3

The calculated Total Probable errors using Equation (B-2) for each instrumentation channel are 

shown in the following tables:

Table B-1 - Temperature measurements including the heater rods, grid fluid, grid walls, support 

rods, steam probe rakes, flow housing walls, flow housing insulation, vessel and piping 

walls, and quartz windows thermocouples.

Table B-2 - Differential pressure cells (D/P’s), static pressure transducers (P’s), and vessels 

liquid label transducers.

Table B-3 - Inlet Mass and exhaust steam flows transmitters (FM)

Table B-4 - Steam probe rakes linear position transmitter.

Table B-5 - Heater Rod Bundle input voltage (V), amperage (Amps), and Power measurements 

(W).
B-4

Table B-1: Error in Temperature Measurement

INSTRUMENT DATA ACQUISITION SYSTEM

INPUT SENSOR RANGE ERROR ± 1.11°C SCP

AUTORANGING

± 0.02% 

TEMPERATU

RE RANGE

REF JCTN 

MEAS

ISO REF 

GRADIENT

TEMP RANGE 

FOR ERROR 

NUMBERS

CHANNEL NO. TYPE K TC °C ± °C ± °C ± °C ± °C ± °C °C

0.20 0.08 0.01 0.20 0 TO 375

0.25 0.16 0.01 0.20 375 TO 8000.40 0.27 0.01 0.20 800 TO 1371

0.20 0.08 0.01 0.20 0 TO 375

0.25 0.16 0.01 0.20 375 TO 8000.40 0.27 0.01 0.20 800 TO 1371

0.20 0.08 0.01 0.20 0 TO 375

0.25 0.16 0.01 0.20 375 TO 8000.40 0.27 0.01 0.20 800 TO 1371

0.20 0.08 0.01 0.20 0 TO 375

0.25 0.16 0.01 0.20 375 TO 8000.40 0.27 0.01 0.20 800 TO 1371

0.20 0.08 0.01 0.20 0 TO 375

0.25 0.16 0.01 0.20 375 TO 8000.40 0.27 0.01 0.20 800 TO 1371

97, 184, 277, 400 INSULATION 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

386 THRU 388 L. PLEN. FL & WALL 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

389, 391, 392 U. PLEN. FL & WALL 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

399, 401 SUPPLY TANK FLUID 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

407 THRU 410 SUP LINE FL. & WALL 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

418 THRU 424 (SM, LG) CARRYOVER TANKS FL. & WALL 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

385, 404, 435, 

436, 437

PRESS. OSC. DAMP TANK FL, & 

WALL 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

440 THRU 443 EXHAUST LINE 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

360, 361 ROD BUNDLE INLET 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

414-415 STM SUP FL & WALL 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

403, 428-432 STEAM SEP 10 - 1371 °C 1.11 0.20 0.08 0.01 0.20 0 TO 375

10 - 1371 °C 0.20 0.08 0.01 0.200 0 TO 375

10 - 1371 °C 0.25 0.160 0.01 0.200 375 TO 800

CHANNEL NO. THERMISTOR TYPE 5000 °C ± °C ± °C ± °C ± °C ± °C °C

497-512 TERM PNL REF THERMISTORS -10 - 85 °C 0.01 -10 TO 65

1-96, 98-183, 185-

248, 311-313 HEATER ROD'S 10 - 1371 °C 1.11

249-276, 278-279 GRID WALL & FLUID 10 - 1371 °C 1.11

280 THRU 295 SUPPORT RODS 10 - 1371 °C 1.11

296-310, 314-334, 

493-495 ST. PROBE RAKES 10 - 1371 °C 1.11

446-457 QUARTZ WINDOWS 1.11

335 THRU 359, & 

496 FLOW HOUSING WALL 10 - 1371 °C 1.11

Table B-1: Error in Temperature Measurement
B-5

Table B-2: Error in Differential Pressure Cells (D/P’s), Static Pressure Transducers (P’s), and 

Vessels Liquid Label Transducers

SPAN

(CALIBRATION)

ACCURACY

± 0.075% SPAN

PERFORMANC

E

± 0.15% SPAN

SCP 

LINEARITY

± 0.01% 

VOLTAGE 

RANGE

AUTORANGING

± 0.02% 

VOLTAGE 

RANGE

SCP OFFSET 

ERROR NOISE

VOLTAGE 

RANGE FOR 

ERROR 

NUMBERS

TOTAL 

PROBABLE 

ERROR

mm H20 ± mm H20 ± mm H20 ± mm H20 ± mm H20 ± mm H20 ± mm H20 ± Volts ± mm H20

0.003 0.005 0.001 0.002 0.25 0.13

0.010 0.021 0.003 0.007 1.00 0.13

0.003 0.007 0.001 0.003 0.25 0.17

0.014 0.027 0.004 0.009 1.00 0.17

0.004 0.009 0.001 0.004 0.25 0.21

0.017 0.034 0.005 0.011 1.00 0.22

0.005 0.010 0.002 0.005 0.25 0.26

0.021 0.041 0.006 0.013 1.00 0.26

0.006 0.012 0.002 0.006 0.25 0.30

0.024 0.048 0.007 0.015 1.00 0.30

0.007 0.014 0.002 0.006 0.25 0.34

0.027 0.055 0.009 0.018 1.00 0.35

0.009 0.019 0.003 0.009 0.25 0.47

0.038 0.075 0.012 0.024 1.00 0.48

0.010 0.021 0.003 0.009 0.25 0.51

0.041 0.082 0.013 0.026 1.00 0.52

0.011 0.022 0.004 0.010 0.25 0.55

0.045 0.089 0.014 0.029 1.00 0.56

0.123 0.247 0.039 0.114 0.25 6.14

0.494 0.987 0.153 0.316 1.00 6.24

0.011 0.021 0.003 0.010 0.25 0.52

0.042 0.084 0.013 0.027 1.00 0.53

0.004 0.009 0.001 0.004 0.25 0.21

0.017 0.034 0.005 0.011 1.00 0.22

0.005 0.011 0.002 0.005 0.25 0.26

0.021 0.042 0.007 0.013 1.00 0.27

0.214 0.429 0.069 0.197 0.25 10.66

0.857 1.714 0.266 0.549 1.00 10.84

0.102 0.204 0.033 0.094 0.25 5.08

0.408 0.816 0.126 0.261 1.00 5.16

0.053 0.106 0.017 0.049 0.25 2.64

0.213 0.425 0.066 0.136 1.00 2.69

0.030 0.060 0.010 0.028 0.25 1.50

0.121 0.242 0.037 0.077 1.00 1.53

0.056 0.112 0.018 0.052 0.25 2.79

0.225 0.449 0.070 0.144 1.00 2.84

kPa ± kPa ± kPa ± kPa ± kPa ± kPa ± kPa ± Volts ± kPa

0.014 0.028 0.004 0.013 0.25 0.69

0.056 0.112 0.017 0.036 1.00 0.71

0.023 0.047 0.007 0.021 0.25 1.16

0.093 0.186 0.029 0.060 1.00 1.18

0.012 0.023 0.004 0.011 0.25 0.58

0.047 0.093 0.014 0.030 1.00 0.59

0.001 0.002 0.000 0.001 0.25 0.06

0.005 0.009 0.001 0.003 1.00 0.06

0.52

0.05

1.34

2.50

0.62

1.03

0.23

9.53

4.53

2.36

0.50

5.49

0.47

0.19

0.27

0.30

0.42

0.46

0.11

0.15

0.19

0.23

0 TO 895.35 mm H20 0.67

0 TO 76.2 mm H20 0.06

0 TO 101.6 mm H20 0.08

0 TO 127 mm H20 0.10

0 TO 152.4 mm H20 0.11

0 TO 177.8 mm H20 0.13

0 TO 203.2 mm H20 0.15

0 TO 279.4 mm H20 0.21

0 TO 304.8 mm H20 0.23

0 TO 330.2 mm H20 0.25

0 TO 3657.6 mm H20 2.74

0 TO 311.15 mm H20 0.23

0 TO 127 mm H20 0.10

0 TO 413.7 kPa 0.31

0 TO 155.575 mm H20 0.12

0 TO 689.5 kPa 0.52

0 TO 6350 mm H20 4.76

0 TO 3022.6 mm H20 2.27

0 TO 344.7 kPa 0.26

0 TO 1574.8 mm H20 1.18

0 TO 1663.7 mm H20 1.25

0 TO 34.5 kPa 0.03
B-6

Table B-3: Error in Inlet Mass and Exhaust Steam Flows Transmitters (FM)

Table B-4: Error in Steam Probe Rakes Linear Position Transmitter 

INSTRUMENT DATA ACQUISITION SYSTEM TOTAL

INPUT SENSOR SPAN (CALIBRATION) ACCURACY1 ± 0.11% SPAN

SCP 

LINEARITY

± 0.01% 

VOLTAGE 

RANGE

AUTORANGING

± 0.02% 

VOLTAGE 

RANGE

SCP OFFSET 

ERROR NOISE

VOLTAGE 

RANGE FOR 

ERROR 

NUMBERS

TOTAL 

PROBABLE 

ERROR

MASS FLOW TRANSDUCER g/sec ± g/sec ± g/sec ± g/sec ± g/sec ± g/sec ± Volts ± g/sec

0.042 0.084 0.013 0.039 0.25 0.103

0.168 0.337 0.052 0.108 1.00 0.395

0.002 0.003 0.000 0.001 0.25 0.004

0.006 0.012 0.002 0.004 1.00 0.014

INSTRUMENT DATA ACQUISITION SYSTEM TOTAL

INPUT SENSOR SPAN (CALIBRATION) ACCURACY1 ± 1.35% SPAN PERFORMANC

E

± 0.173% SPAN

SCP 

LINEARITY

± 0.01% 

VOLTAGE 

RANGE

AUTORANGING

± 0.02% 

VOLTAGE 

RANGE

SCP OFFSET 

ERROR NOISE

VOLTAGE 

RANGE FOR 

ERROR 

NUMBERS

TOTAL 

PROBABLE 

ERROR

VOLUME FLOW TRANSDUCER

m3/min ± m3/min ± m3/min ± m3/min ± m3/min ± m3/min ± m3/min ± Volts ± m3/min

0.000 0.000 0.000 0.000 0.25 0.096

0.001 0.002 0.000 0.001 1.00 0.096

0.000 0.001 0.000 0.000 0.25 0.172

0.002 0.003 0.001 0.001 1.00 0.172

0.0120.022 EXH PIPE FM 0 TO 12.7 m^3/min 0.172

STM SUPPLY FM 0 TO 7.1 m^3/min 0.096

DROP INJ FM 0 TO 45 g/sec 0.00005

SUPPLY LINE FM 0 TO 1247 g/sec 0.00137

INSTRUMENT DATA ACQUISITION SYSTEM

INPUT SENSOR SPAN (CALIBRATION) ACCURACY ± 1.0% SPAN

SCP 

LINEARITY

± 0.01% 

VOLTAGE 

RANGE

AUTORANGING

± 0.02% 

VOLTAGE 

RANGE

SCP OFFSET 

ERROR NOISE

VOLTAGE 

RANGE FOR 

ERROR 

NUMBERS

CHANNEL NO. POSITION TRANSDUCER mm ± mm ± mm ± mm ± mm ± mm ± Volts

0.003 0.006 0.001 0.003 0.25

0.012 0.024 0.004 0.008 1.00 482-489 RAKE POSITION 0 TO 88.9 mm 0.889

Table B-3: Error in Inlet Mass and Exhaust Steam Flows Transmitters (FM)

Table B-4: Error in Steam Probe Rakes Linear Position Transmitter
B-7

Table B-5: Error in Heater Rod Bundle Input Voltage (V), Amperage (Amps), and Power 

Measurements (W)

INSTRUMENT DATA ACQUISITION SYSTEM

INPUT SENSOR SPAN (CALIBRATION) ISOLATOR ACCURACY ± 0.1% SPAN

SCP 

LINEARITY

± 0.01% 

VOLTAGE 

RANGE

AUTORANGING

± 0.02% 

VOLTAGE 

RANGE

SCP OFFSET 

ERROR NOISE

VOLTAGE 

RANGE FOR 

ERROR 

NUMBERS

CHANNEL NO. VOLTAGE TRANSDUCER Volts ± V ± mV ± mV ± uV ± uV ± Volts

0.27 0.67 107.99 310.48 0.25

1.08 2.70 418.47 863.93 1.00

INSTRUMENT DATA ACQUISITION SYSTEM

INPUT SENSOR SPAN (CALIBRATION) SHUNT ACCURACY ± 0.1% SPAN ISOLATOR ACCURACY ± 0.1% SPAN

SCP 

LINEARITY

± 0.01% 

VOLTAGE 

RANGE

AUTORANGING

± 0.02% 

VOLTAGE 

RANGE

SCP OFFSET 

ERROR NOISE

VOLTAGE 

RANGE FOR 

ERROR 

NUMBERS

CHANNEL NO. CURRENT TRANSDUCER Amps ± A ± A ± A ± A ± A ± A ± Volts

0.40 1.01 0.16 0.47 0.25

1.62 4.05 0.63 1.30 1.00

INSTRUMENT DATA ACQUISITION SYSTEM

INPUT SENSOR SPAN (CALIBRATION) DAS VOLTS ACCURACY ± 0.1% SPAN DAS AMPS ACCURACY ± 0.14% SPAN

CHANNEL NO. DERIVED POWER (V*A) kWatts ± W

15

± W

1050 397 * 398 ELECTRICAL SYSTEM 0 TO 750 kWatts 750

397 ELECTRICAL SYSTEM 0 TO 10 Volts 0.01398 ELECTRICAL SYSTEM 0 TO 15000 Amps 15

Table B-5: Error in Heater Rod Bundle Input Voltage (V), Amperage (Amps), and Power Measurements (W)
B-8

B.2 Void Fraction Uncertainty Estimate

An estimate has been made of the uncertainty in the calculated void fraction from the RBHT 

level swell experiments using the measured pressure drop data. There are two primary areas of 

uncertainty: the uncertainty in the differential pressure cell used for the measurements, and the 

uncertainty in the frictional and acceleration pressure drop calculations used to correct the 

experimental data.

The uncertainty in the differential pressure cells has been given in the Facility Description report 

for the Rod Bundle Test Facility [11]. This uncertainty contains the uncertainties of the 

instrument, the data stream, and the data acquisition system such that a total probable error or 

uncertainty for the instrument system has been obtained. This component of the uncertainty is 

directly applied to the reading of the instrument such that its effect on the calculated void 

fraction can be directly determined.

The uncertainties in the two-phase frictional and acceleration pressure drop are independent of 

the instrument uncertainties and refer to calculated corrections which are then applied to the 

experimental data to best estimate the elevation head which is then converted to void fraction. 

The Friedel two-phase frictional pressure drop correlation is used to calculate the frictional 

pressure drop in the rod bundle in the two-phase region. The uncertainties in this correlation 

were estimated from the original paper, Figure 3a [9] and used as a multiplier in the data 

analysis program. Based on this figure, roughly a one-sigma estimate of the uncertainty was 

selected as plus or minus 30 percent. Therefore, in the data analysis program, the frictional 

pressure drop was increased by a factor of 1.3 when correcting for the frictional pressure drop 

to cover the uncertainties in the Friedel correlation. The revised frictional correlation was then 

used to calculate the frictional pressure drop in the rod bundle for experiment 1678/79. 

Increasing the frictional pressure drop would result in a larger correction to the data giving a 

higher void fraction in the bundle.

The homogeneous acceleration pressure drop model was used to account for the flow 

acceleration due to boiling in the bundle. If the uncertainties in the bundle hydraulic diameter 

and the fluid properties can be regarded to have negligible uncertainty, the primary parameters 

which affect the uncertainty in the acceleration pressure drop calculation are the uncertainties in 

the flow measurement and the bundle power. Using the propagation or errors technique given 

by Young [12], and considering that these two components of the uncertainty are independent 

since these are two independent measurements, the uncertainties can be combined using the 

square-root-sum of squares. The resulting calculation for Experiment 1678/79 indicates that the 

uncertainty in the acceleration pressure drop is 1.19 percent. It should be noted that this 

calculated uncertainty is only based on the power and flow measurement uncertainties. The 

calculation assumes that the application of the homogeneous acceleration model is perfectly 

correct for this application, which could also be questioned. Therefore, in the data analysis 

program, the acceleration pressure drop was increased by the acceleration pressure drop 

uncertainty amount to recalculate the void fraction from the experimental data. Increasing the 

acceleration pressure value will also increase the calculated void fraction from the experimental 

data. 

The effects of considering the uncertainties in the differential pressure cell measurements, the 

two-phase frictional corrections, and the two-phase acceleration corrections were applied to the 

experimental data for experiment 1678/79. The comparisons of the calculated void fraction 
B-9

using the corrections and the void fraction using the best-estimate corrections are shown in 

Figure B-1. As the figure indicates, the effects of the uncertainties on the calculated void 

fraction are very small. It is expected that the other experiments would yield similar results.

Figure B-1: Comparison of Corrected Void Fraction with and without Uncertainties Considered

B.3 Flashing Effects Estimate

The level swell experiments generate a vertical two-phase mixture level above the saturation 

location within the rod bundle. The local static pressure decreases along the bundle due to the 

change in the static head of the mixture. As the local static pressure decreases, some of the 

liquid phase energy can be converted to additional vapor generation due to the liquid slowly 

flashing as the static pressure decreases. The energy balance which has been used to 

calculate the flow quality in the bundle does not account for the additional steam flow due to this 

slowly flashing process as the mixture progresses upward along the bundle. An estimate of the 

additional steam flow due to the flashing process has been made for experiment 1678/79 which 

is at 0.1389 MPa (20 psia) , 15.24 mm/s (0.6 in/s) flow rate test. The saturation location for this 

experiment is at the 1.18 m (46.56 in) elevation. The pressure drop in the two-phase region is 

1.31 m (51.67 in) of water at STP conditions. 

The energy which is available to flash to steam is the difference between the saturated liquid 

enthalpy at the saturation line and the saturated liquid enthalpy at the bundle exit times the flow 

rate into the bundle. This is given as

0.000

0.100

0.200

0.300

0.400

0.500

0.600

0.700

0.800

0.900

1.000

0 0.5 1 1.5 2 2.5 3 3.5 4

Length (m)

α

0 20 40 60 80 100 120 140

Length (in)

Series1

Corrected Void Fraction (Best

Estimate)

Corected Void Fraction with

Uncertainties Included
B-10

(B-7)

The mass flow of the steam generated due to flashing is given as

(B-8)

Using the conditions for experiment 1678/79, the steam mass flow due to flashing can be 

calculated as 0.000322 kg/s (0.000710 lbm/s). If the mass flow of the steam calculated due to 

flashing is compared to the steam flow, at the exit of the bundle due to the electrical heating, the 

additional contribution to the steam flow due to flashing as a result of the pressure gradient 

bundle is 1.29 percent. 

Therefore, the additional amount of steam generated due to flashing is very small and can be 

neglected in the energy balance. It should be noted that the only place that the flow quality is 

used in the analysis of the data is in the calculation of the two-phase frictional and acceleration 

pressure drops which are used to correct the differential pressure cell readings to calculate the 

void fraction.

( ) F ff sat exit Q mh h = − 

F

Flashing

Steam fg

Q m

h  =
C-1

APPENDIX C. ENERGY BALANCE PROGRAM

The ENERGY BALANCE program completes an energy balance of the RBHT facility and 

calculates several values, such as two-phase mixture properties, quality, void fraction, and 

interfacial drag force per unit volume. The calculations are completed at axial incremental 

lengths of 76.2 mm (3 in) for the length of the 3.66 m (12 ft) rod bundle. The program also 

corrects the experimental pressure drop data for the effects of friction, acceleration, and spacer 

grids.

program ENERGY BALANCE

! 

! ENERGY BALANCE models the interfacial drag experiments completed at

! the RBHT test facility at the Pennsylvania State University

! Written by Douglas J. Miller, 12/17/2003

! Calculations and outputs are provided in both British and metric units

! 

Use MainVar

! 

implicit none

! 

integer count

! 

open (5, file = 'input.txt')

open (6, file = 'output.txt')

call steam_interact

! 

write(*,*) "Properties Calculated Successfully"

! write(*,*) "Enter the Rod Bundle Power (kW)"

read(5,*) Power

! write(*,*) "Enter the Mass Flow Rate (lbm/sec)"

read(5,*) Mdote

! 

! Convert power to BTU/hr and mass flow rate to lbm/hr

! 

Powere = Power*3412.3

Mdothr = Mdote*3600

Mdotm = Mdote*453.59237

! 

write(6,36) Powere,Power

write(6,38) Mdote,Mdotm

! 

36 format('Pwr = ',g16.8,' BTU/hr ',g16.8,' kW

 + (power)')

38 format('Mdot = ',g16.8,' lbm/sec ',g16.8,' g/sec 

 + (mass flow rate)')

! 

 PI = 3.14159

WPerim = 5.997454

HPerim = 4.406084

Diam = 0.03491667

Area = 0.052352778

Height = 12.0

NRods = 45

Rod_Diam = 0.374

FFactor = 0.005
C-2

Rod_Diam = 0.374

FFactor = 0.005

Linear_Pwr = Powere/(3600*12)

Avg_Heat_Flux = Linear_Pwr/(NRods*PI*Rod_Diam/12)

RHOSTP = 62.3

RHOSTPM = RHOSTP*0.01602

Mass_Flux = Mdote/Area

count = 1

do while (count.NE.23)

read(5,*) PDrop(count)

count = count + 1

end do

count = 1

Z(count) = 0

Zsat1 = 2.0

error = 2.0

do while ((error.NE.1.0000) .AND. (count<=10000))

Zsat2 = Mdothr*Height*(HF-HIN)/(Powere*(Zsat1/18+0.5))

error = Zsat2/Zsat1

Zsat1 = Zsat2

count = count + 1

end do

Zsat = Zsat2

count = 1

! Do loop to calculate parameters with respect to axial position

do while (Z(count)<=12)

if (Z(count)<=9) then

Quality(count)=0.0 + Powere/(Mdothr*HFG*Height)

 +*((Z(count)**2/18.+0.5*Z(count))-(Zsat**2/18.+0.5*Zsat))

else

Quality(count)=Quality(37) + Powere/(Mdothr*HFG*Height)

 +*((-(Z(count)**2)/6.+4.5*Z(count))-(-(9.**2)/6.+4.5*9.))

end if

if (Quality(count) < 0.0) then

Quality(count) = 0.0

else if (Quality(count) > 1.0) then

Quality(count) = 1.0

end if

Mdotg(count) = Quality(count)*Mdote

Mdotf(count) = (1.0 - Quality(count))*Mdote

MixVel(count) = (1/Area)*(Mdotf(count)/RHOF + Mdotg(count)/RHOG)

MixDens(count) = RHOF*(1-Quality(count)) + RHOG*Quality(count)

InvrsVisc(count) = Quality(count)/VISCG + (1-Quality(count))/VISCF

MixReynolds(count) = MixVel(count)*Diam*MixDens(count)*3600*

 +InvrsVisc(count)

! While loop return
C-3

count = count + 1

Z(count) = Z(count-1) + 0.25

end do

!

! Presentation of output

!

count = 1

!

write(6,125) Zsat

125 format('Zsat = ', g16.8)

!

 write(6,150)

150 format(/1X,'Elevation',4X,'Quality',5X,'Vapor Flow',4X,'Liquid 

 +Flow',3X,'Mixed Velocity',2X,'Mixed Reynolds',3X,'Mixed Density')

!

 write(6,155)

155 format(' (FT.) ',4X,' ',5X,' (lbm/sec) ',4X,

 +'(lbm/sec) ',3X,' (FT/sec) ',2X,' ',

 +3X,' (lbm/FT3)')

do while (Z(count)<=12)

!

write(6,160) Z(count), Quality(count), Mdotg(count),

 +Mdotf(count),MixVel(count),MixReynolds(count),MixDens(count)

160 format(1X,F7.2,4X,E10.4,4X,E10.4,4X,E10.4,6X,E10.4,6X,E10.4,

 +6X,E10.4)

count=count+1

end do

Call Void_Frac_Correlations

Call DP_Cell_Orientation

Call Homogeneous

Call Homogeneous_Two_Phase

Call Friedel

Call Acceleration_Press_Drop

Call Corrected_Press_Drop

Call Interfacial_Drag

Call Flow_Regime_Identifier

Call Results

end

**************************************************************************************

MODULE MainVar

double precision HGM,HG,HFM,HF,HINM,HIN,HFGM,HFG,RHOFM,RHOF,RHOGM,

 +RHOG,TSATM,TSAT,AFM,AF,ACM,AC,AFFM,AFF,APM,AP,RODR,PELR,VOLP,

 +QVOLAM,QVOLA,QCM,QC,FMDOTM,FMDOT,C1,C2,C3,F,VISCFM,VISCF,VISCGM,

 +VISCG, Z(50), Quality(50), Mdote, Mdothr, Powere, Mdotm, Diam, PI,

 +Area, Height, Gravity, Gravitym, Mdotg(50), Mdotf(50), PDrop(25),

 +WPerim, HPerim, Linear_Pwr, Avg_Heat_Flux, Rod_Diam, PFactor(25),

 +VISCIN, VIN, RHOIN, VISCINM, VINM, RHOINM, NUIN, NUG, NUF, NUINM,

 +NUGM, NUFM, VISCFG, VISCFGM, NUFG, NUFGM, FFactor, RHOSTP,RHOSTPM,

 +PDropConv(25), DPQuality(25), DPZ(25),SpanAvgQuality(25),DPAvg(25)

double precision Zsat1, Zsat2, Zsat, Power, XIN, Mass_Flux,

 +MixReynolds(50), MixDens(50), InvrsVisc(50), MixVel(50), error,

 +Hom_Two_Phase_Mult(25), A1(25), A2(25), A3(25), Fr(25), We(25),
C-4

 +Frdl_Two_Phase_Mult(25), Hom_Fric_PDrop(25), Span_Avg_Power(25),

 +Hom_TP_Fric_PDrop(25), Frdl_Fric_PDrop(25), Accel_PDrop(25),

 +Corrected_PDrop_Hom(25), Corrected_PDrop_Hom_TP(25),

 +Corrected_PDrop_Frdl(25), ZCalc_Hom(25), ZCalc_Hom_TP(25), 

 +ZCalc_Frdl(25), Alpha_Hom(25), Alpha_Hom_TP(25), Alpha_Frdl(25),

 +Rho_Hom(25), Rho_Hom_TP(25), Rho_Frdl(25), ElevDP_Hom(25),

 +ElevDP_Hom_TP(25), ElevDP_Frdl(25), Intrfcl_Drag(25), Intrfcl(25)

double precision a, ae

double precision c, ce

double precision cjth, cjthe

double precision cjtt, cjtte

double precision cp, cpe

double precision cv, cve

double precision dpdr, dpdre

double precision dpdt, dpdte

double precision dvdr, dvdre

double precision dvdt, dvdte

double precision eps

double precision eta, etae

double precision g, ge

double precision h, he

character ( len = 72 ) label

double precision lambda, lambdae

double precision p, pe

double precision pr

double precision rho, rhoe

double precision s, se

double precision sigma, sigmae

double precision t, te

double precision u, ue

double precision v, ve

double precision vir, vire

double precision supfclvap(50), supfclliq(50)

integer propchoice, NRods

character Flow_Char(25)*25

end module MainVar

**************************************************************************************

subroutine steam_interact

!

!djm*********************************************************************

!

!djm A portion of the Steam table program Steam_Interact was utilized

!djm the portion used obtains properties for a given pressure and temp.

!

!djm Additional steam table calculations were obtained from the program

!djm PWRDNB. PWRDNB is called as a subroutine of Steam_Interact

!

!djm*********************************************************************

!

! STEAM_INTERACT interactively queries the NBS/NRC Steam Table routines.

!

! The units used for internal calculations are:

!
C-5

! Density G/cm**3 grams per cubic centimeter

! Enthalpy J/G joules per gram

! Entropy J/(GK) joules per gram degree Kelvin

! Length M meters

! Pressure MPa megapascals

! Temperature K degrees Kelvin

!

Use MainVar

!

 implicit none

! double precision a, ae

! double precision c, ce

! double precision cjth, cjthe

! double precision cjtt, cjtte

! double precision cp, cpe

! double precision cv, cve

! double precision dpdr, dpdre

! double precision dpdt, dpdte

! double precision dvdr, dvdre

! double precision dvdt, dvdte

! double precision eps

! double precision eta, etae

! double precision g, ge

! double precision h, he

! character ( len = 72 ) label

! double precision lambda, lambdae

! double precision p, pe

! double precision pr

! double precision rho, rhoe

! double precision s, se

! double precision sigma, sigmae

! double precision t, te

! double precision u, ue

! double precision v, ve

! double precision vir, vire

character ans

logical ok

double precision gascon

double precision gl

double precision gv

integer iopt

integer ios

integer itmax

double precision, parameter :: p_crit = 3198.86D+00

double precision, parameter :: p_max = 3190.88D+00

double precision, parameter :: p_min = 0.0D+00

double precision pl

double precision ps

double precision pv

double precision rhol

double precision, parameter :: rho_max = 118.613D+00

double precision, parameter :: rho_min = 0.0D+00

double precision rho_start

double precision rhov

double precision, parameter :: t_crit = 705.157D+00

double precision, parameter :: t_max = 704.93D+00
C-6

double precision, parameter :: t_min = 0.0D+00

!

call timestamp ( )

!

write ( *, '(a)' ) ' '

!djm Interactive queries removed for input of pressure and temperature only

! write ( *, '(a)' ) 'STEAM_INTERACT:'

! write ( *, '(a)' ) 'Interactive queries of the NBS/NRC Steam Table

! + Program.'

!

! Read the next choice.

!

open (5, file = 'input.txt')

iopt = 2

!

!***********************************************************************

! Option 2, properties for given pressure and temperature.

!***********************************************************************

!

! write ( *, '(a)' ) ' '

! write ( *, '(a)' ) ' Compute table for given pressure and temp.'

! write ( *, '(a)' ) ' '

!

 do

!

! write ( *, '(a)' ) ' '

! write ( *, '(a)' ) 'Enter the pressure in psi'

! write ( *, '(a,g14.6)' ) 'greater than ', p_min

! write ( *, '(a,g14.6)' ) 'and less than or equal to ', p_max

!

 read ( 5, *, iostat = ios ) p

!

 if ( ios /= 0 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'Input error!'

 exit

 end if

!

 call d_gtle_range ( p, p_min, p_max, ok )

!

 if ( ok ) then

 exit

 end if

!

 end do

!

 if ( ios /= 0 ) then

 end if

!

 write ( *, '(a)' ) ' '

 write ( *, '(a,g14.6)' ) ' Specified pressure is ', p

p=p*0.0068948

!

 do

!

! write ( *, '(a)' ) ' '
C-7

! write ( *, '(a)' ) 'Enter the temperature in degrees Fahrenheit'

! write ( *, '(a,g14.6)' ) 'greater than ', t_min

! write ( *, '(a,g14.6)' ) 'and less than or equal to ', t_max

!

 read ( 5, *, iostat = ios ) t

!

 if ( ios /= 0 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'Input error!'

 exit

 end if

!

 call d_gtle_range ( t, t_min, t_max, ok )

!

 if ( ok ) then

 exit

 end if

!

 end do

!

 if ( ios /= 0 ) then

 end if

!

 write ( *, '(a)' ) ' '

 write ( *, '(a,g14.6)' ) ' Specified temperature is ', t

t=(t+459.67)/1.8

!

! Get the density as function of P and T.

!

 ps = 20000.0D+00

 rhol = 0.0D+00

 rhov = 0.0D+00

!

 if ( t < t_crit ) then

 call psat ( t, ps, rhol, rhov )

 end if

!

 if ( p > ps ) then

 rho_start = rhol

 else

 rho_start = p / ( gascon() * t )

 end if

!

 call dense ( p, t, rho_start, rho, dpdr )

!

! Compute properties as function of T and D.

!

 call therm (t,rho,a,cjth,cjtt, cp, cv, dpdr, dpdt, g, h, p, s, u )

!

 call dielectric ( t, rho, eps )

 call secvir ( t, vir )

!djm Error in call to sound()

!djm call sound ( t, p, c )

c = sqrt ( 1000.0D+00 * cp * dpdr / cv )

 call surten ( t, sigma )

 call thercon ( t, rho, lambda )
C-8

 call viscosity ( t, rho, eta )

 call volume ( t, rho, v, dvdt, dvdr )

!djm Error in call to prandtl()

!djm call prandtl ( t, p, pr )

pr = (eta * cp) / lambda

!

 label = 'Pressure and temperature were input.'

!

 call output

!

!djm call to PWRDNBPROPS for additional property values

!

 call PWRDNBPROPS

return

end

**************************************************************************************

subroutine base (t,rho, ab, cvb, dpdrb, dpdtb, gb,hb, pb, sb, ub)

!

!*******************************************************************************

!

!! BASE calculates quantities associated with the base Helmholtz function.

!

!

! Discussion:

!

! The equation for the base Helmholtz function AB(T,RHO) is:

!

! AB(T,RHO) = R * T * (

! - ln ( 1 - y ) 

! - ( beta - 1 ) / ( 1 - y ) 

! + ( alpha + beta + 1 ) / ( 2 * ( 1 - y )**2 )

! + 4 * y * ( ( Bbar / b ) - gamma ) 

! - 0.5 * ( alpha - beta + 3 ) 

! + ln ( RHO * R * T / P0 ) )

! (Equation 2)

! where 

!

! y = b * rho / 4, 

! alpha = 11,

! beta = 133/3, 

! gamma = 7/2, 

! P0 = 0.101325 MegaPascals = 1 atm

!

! and

!

! b(T) = b1 * ln(T/T0) + sum(j=0,1,3,5) b(j)*(T0/T)**j (Equation 3)

!

! Bbar(T) = sum(j=0,1,2,4) B(j)*(T0/T)**j (Equation 4).

!

! where 

!

! T0=647.073 K and the coefficients b(j) and B(j) are

! 

! j b(j) B(j)

! -- ----------- ----------

! 0 0.7478629 1.1278334
C-9

! 1 -0.3540782 -0.5944001

! 2 0 -5.010996

! 3 0.007159876 0

! 4 0 0.63684256

! 5 -0.003528426 0

!

! For the derived quantities, the following relations are used:

!

! Pressure: PB = RHO**2 * dAB/dRHO

! Density derivative: DPDRB = 2*PB/RHO + RHO**2 * d2AB/dRHO2

! Temperature derivative: DPDTB = RHO**2 * d2AB/(dRHO dT)

! Specific entropy: SB = ( UB - AB ) / T

! Specific internal energy: UB = AB + T * SB

! Specific enthalpy: HB = UB + PB / RHO

! Specific heat capacity

! at constant volume: CVB = - T * d2AB/dT2

! Specific Gibbs function: GB = AB + PB / RHO

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Modified:

!

! 03 February 2002

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Input, double precision RHO, the density, in G/CM3.

!

! Output, double precision AB, the base value of the Helmholtz function,

! in KJ/kg.

!

! Output, double precision CVB, the base value of the isochoric (constant 

! volume) heat capacity, in KJ/(kg degrees Kelvin).

!

! Output, double precision DPDRB, the base value of the partial

! derivative dP(T,RHO)/dRHO, with T held fixed, in (MegaPascals CM3)/G.

!

! Output, double precision DPDTB, the base value of the partial

! derivative dP(T,RHO)/dT, with RHO held fixed, in 

! MegaPascals/degrees Kelvin.

!

! Output, double precision GB, the base value of the Gibbs free energy,

! in KJ/kg.
C-10

!

! Output, double precision HB, the base value of enthalpy, in KJ/kg.

!

! Output, double precision PB, the base pressure, in MegaPascals.

!

! Output, double precision SB, the base value of entropy, 

! in KJ/(kg degrees Kelvin).

!

! Output, double precision UB, the base value of internal energy, 

! in KJ/kg.

!

implicit none

!

double precision ab

double precision, parameter :: alpha = 11.0D+00

double precision b1

double precision b1t

double precision b1tt

double precision b2

double precision b2t

double precision b2tt

double precision, parameter :: beta = 44.333333333333D+00

double precision cvb

double precision dpdrb

double precision dpdtb

double precision dz

double precision dz0

double precision, parameter :: gamma = 3.5D+00

double precision gascon

double precision gb

double precision hb

double precision, parameter :: p_zero = 0.101325D+00

double precision pb

double precision rho

double precision sb

double precision t

double precision ub

double precision x

double precision y

double precision z

double precision z0

!

! Refuse to handle zero or negative temperatures.

!

if ( t <= 0.0 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'BASE - Fatal error!'

 write ( *, '(a)' ) ' The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was T = ', t

 stop

end if

!

! Refuse to handle zero or negative density.

!

if ( rho <= 0.0D+00 ) then

write ( *, '(a)' ) ' '
C-11

write ( *, '(a)' ) 'BASE - Fatal error!'

write ( *, '(a)' ) ' The input density RHO must be positive.'

write ( *, '(a,g14.6)' ) ' Input value was RHO = ', rho

stop

end if

!

! Compute auxilliary quantities for Equation 2.

!

call bb ( t, b1, b2, b1t, b2t, b1tt, b2tt )

y = 0.25D+00 * b1 * rho

x = 1.0D+00 - y

!

! Evaluate Equation 2.

!

ab = - log ( 1.0D+00 - y )

 + - ( beta - 1.0D+00 ) / ( 1.0D+00 - y )

 ++ ( alpha + beta + 1.0D+00 ) / ( 2.0D+00 * ( 1.0D+00 - y )**2 )

 ++ 4.0D+00 * y * ( ( b2 / b1 ) - gamma )

 +- 0.5D+00 * ( alpha - beta + 3.0D+00 )

 ++ log ( rho * gascon() * t / p_zero )

!

! Determine quantities defined in terms of AB.

!

pb = ( 1.0D+00 + alpha * y + beta * y**2 ) / ( 1.0D+00 - y )**3

 ++ 4.0D+00 * y * ( b2 / b1 - gamma )

z0 = ( 1.0D+00 + alpha * y + beta * y**2 ) / ( 1.0D+00 - y )**3

z = z0 + 4.0D+00 * y * ( b2 / b1 - gamma )

dz0 = ( alpha + 2.0D+00 * beta * y ) / ( 1.0D+00 - y )**3

 ++3.0D+00 *(1.0D+00 + alpha * y + beta * y**2) /(1.0D+00 - y)**4

dz = dz0 + 4.0D+00 * ( b2 / b1 - gamma )

gb = ab + pb

ub = - t * b1t * ( pb - 1.0D+00 - rho * b2 ) / b1 - rho * t * b2t

hb = pb + ub

!

! An incorrect version of this equation began:

!

! cvb = 2.0D+00 * ub + ( pb - 1.0D+00 ) &

!

! and caused me no end of trouble. My fault, JVB, 03 February 2002

!

cvb = 2.0D+00 * ub + ( z0 - 1.0D+00 )

 +* ( ( t * b1t / b1 )**2 - t**2 * b1tt / b1 )

 +- rho * t**2 * (b2tt - gamma * b1tt) - (t * b1t / b1)**2 * y * dz0

dpdtb = pb /t + rho *(0.25D+00 *(dz0 + 4.0D+00 *(b2 / b1 - gamma))

 +* b1t + b2t - b2 / b1 * b1t )
C-12

sb = ub - ab

dpdrb = pb + y * ( dz0 + 4.0D+00 * ( b2 / b1 - gamma ) )

!

! Assign dimensions.

!

ab = gascon() * t * ab

cvb = gascon() * cvb

dpdrb = gascon() * t * dpdrb

dpdtb = gascon() * t * rho * dpdtb

gb = gascon() * t * gb

hb = gascon() * t * hb

pb = gascon() * t * rho * pb

sb = gascon() * sb

ub = gascon() * t * ub

end

**************************************************************************************

subroutine bb ( t, b1, b2, b1t, b2t, b1tt, b2tt )

!

!*******************************************************************************

!

!! BB calculates the B's of equations 3 and 4. 

!

!

! Discussion:

!

! Here

!

! b(T) = b1 * ln(T/T0) + sum(j=0,1,3,5) b(j)*(T0/T)**j (Equation 3)

!

! Bbar(T) = sum(j=0,1,2,4) B(j)*(T0/T)**j (Equation 4).

!

! where 

!

! T0 = 647.073 K 

!

! and the coefficients b(j) and B(j) are

! 

! j b(j) B(j)

! -- ----------- ----------

! 0 0.7478629 1.1278334

! 1 -0.3540782 -0.5944001

! 2 0 -5.010996

! 3 0.007159876 0

! 4 0 0.63684256

! 5 -0.003528426 0

!

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3
C-13

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Output, double precision B1, the coefficient b from equation 3, 

! in CM3/G.

!

! Output, double precision B2, the coefficient Bbar from equation 4, 

! in CM3/G.

!

! Output, double precision B1T, the derivative dB1/dT, 

! in (CM3)/(G Degrees Kelvin).

!

! Output, double precision B2T, the derivative dB2/dT, 

! in (CM3)/(G Degrees Kelvin).

!

! Output, double precision B1TT, the second derivative of B1 with 

! respect to T, in (CM3)/(G (Degrees Kelvin)**2 ).

!

! Output, double precision B2TT, the second derivative of B2 with 

! respect to T, in (CM3)/(G (Degrees Kelvin)**2 ).

!

implicit none

!

double precision b1

double precision b1t

double precision b1tt

double precision b2

double precision b2t

double precision b2tt

double precision, parameter, dimension ( 10 ) :: bp = (/ 

 + 0.7478629D+00, -0.3540782D+00, 0.0D+00, 0.0D+00, 

 + 0.007159876D+00, 0.0D+00, -0.003528426D+00, 0.0D+00, 

 + 0.0D+00, 0.0D+00 /)

double precision, parameter, dimension ( 10 ) :: bq = (/

 + 1.1278334D+00, 0.0D+00, -0.5944001D+00, -5.010996D+00,

 + 0.0D+00, 0.63684256D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00 /)

integer i

double precision t

double precision, parameter :: t_ref = 647.073D+00

double precision v(10)

!

! Refuse to handle zero or negative temperatures.

!

if ( t <= 0.0D+00 ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'BB - Fatal error!'

write ( *, '(a)' ) ' The input temperature T must be positive.'

write ( *, '(a,g14.6)' ) ' Input value was T = ', t

stop
C-14

end if

!

! Set V(I) = ( T_REF / T )**(I-1).

!

v(1) = 1.0D+00

do i = 2, 10

v(i) = v(i-1) * t_ref / t

end do

!

! Set B1, B1T, B1TT.

!

b1 = bp(1) + bp(2) * log ( 1.0D+00 / v(2) )

b1t = bp(2) * v(2) / t_ref

b1tt = 0.0D+00

do i = 3, 10

b1 = b1 + bp(i) * v(i-1)

b1t = b1t - dble ( i - 2 ) * bp(i) * v(i-1) / t

b1tt = b1tt + bp(i) * dble ( i - 2 )**2 * v(i-1) / t**2

end do

b1tt = b1tt - ( b1t / t )

!

! Set B2, B2T, B2TT.

!

b2 = bq(1)

b2t = 0.0D+00

b2tt = 0.0D+00

do i = 3, 10

b2 = b2 + bq(i) * v(i-1)

b2t = b2t - dble ( i - 2 ) * bq(i) * v(i-1) / t

b2tt = b2tt + bq(i) * dble ( i - 2 )**2 * v(i-1) / t**2

end do

b2tt = b2tt - ( b2t / t )

return

end

**************************************************************************************

subroutine corr ( t, p, p_consistent, rhol, rhov, delg )

!

!*******************************************************************************

!

!! CORR evaluates an adjustment to the Gibbs function.

! 

!

! Discussion:

!

! CORR is given T and P at or near the vapor pressure and evaluates

! the corresponding liquid and vapor densities, and the residual

! function DELG = (GL-GV)/(R*T) where GL and GV are the Gibbs functions

! for the liquid and vapor phases, respectively.

!

! These quantities are used to calculate a correction to the vapor 

! pressure or the vapor temperature. 

!

! The states corresponding to the coexisting phases of liquid
C-15

! and vapor for the temperature range from the triple point

! to within 0.5 C of the critical point 0.01 <= t <= tk-0.5 C

! have been determined in exact accord with the Gibbs condition

! of phase equilibrium: DELG = G(g)-G(l) = 0, P, t constant,

! where G(g) and G(l) are the values of the Gibbs function

! for saturated gas and liquid respectively.

! 

! For the region (tk-t)<=0.5 C, an exact solution for the

! Helmholtz function yields values of density for the saturated

! liquid that are shifted to lower values. Also, the isotherms

! in the pressure-density plane and the Gibbs function-density

! plane are nearly flat, so that it is difficult to obtain

! solutions. As an alternative to exact solution, the power

! law equation is used to define states:

! 

! rho(gas) = 0.322 - 0.657 * (1 - T/647.126)**0.325 (g/cm3).

! rho(liq) = 0.322 + 0.657 * (1 - T/647.126)**0.325 (g/cm3).

!

! In a poor instance of programming, the input pressure was

! originally overwritten on output by a value consistent with

! the computed densities. This causes no end of misunderstandings,

! since other routines expect the value of pressure to be input

! only. The code is now revised so that there is an input P

! and an output P. In a huff, JVB 05 February 2002.

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Modified:

!

! 05 February 2002

!

! Parameters:

!

! Input, double precision T, the vapor temperature, in degrees Kelvin.

!

! Input, double precision P, the vapor pressure, in MegaPascals.

!

! Output, double precision P_CONSISTENT, the vapor pressure, in MegaPascals,

! consistent with RHOL and RHOV. This is equal to the input value of

! P unless 646.3 <= T.

!

! Input/output, double precision RHOL, the liquid density, in G/CM3.

! On input, if RHOL is positive, it is used as an initial

! estimate for the iteration.

!
C-16

! Input/output, double precision RHOV, the vapor density, in G/CM3.

! On input, if RHOV is positive, it is used as an initial

! estimate for the iteration.

!

! Output, double precision DELG, the residual function (GL-GV)/(R*T),

! where GL is the liquid Gibbs function, GV the vapor Gibbs function, 

! dimensionless. If T > 646.3, DELG is 0.

!

implicit none

!

double precision a

double precision ab

double precision ar

double precision cd

double precision cjth

double precision cjtt

double precision cp

double precision cv

double precision cvb

double precision cvr

logical, parameter :: debug = .false.

double precision delg

double precision dpdr

double precision dpdrb

double precision dpdrr

double precision dpdt

double precision dpdtb

double precision dpdtr

double precision g

double precision gascon

double precision gb

double precision gl

double precision gr

double precision gv

double precision h

double precision hb

double precision hr

double precision p

double precision p_consistent

double precision, parameter :: p_crit = 22.055D+00

double precision pb

double precision pr

double precision rho

double precision rhol

double precision, parameter :: rho_min = 1.0D-08

double precision rhov

double precision rho_start

double precision s

double precision sb

double precision sr

double precision t

double precision tau

double precision, parameter :: t_crit = 647.1260000001D+00

double precision u

double precision ub

double precision ur
C-17

!

p_consistent = p

!

! Initialize output quantities.

!

delg = 0.0D+00

!

! Refuse to handle zero or negative temperatures.

!

if ( t <= 0.0D+00 ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'CORR - Fatal error!'

write ( *, '(a)' ) ' The input temperature T must be positive.'

write ( *, '(a,g14.6)' ) ' The input value was T = ', t

stop

end if

!

! Refuse to handle zero or negative pressures.

!

if ( p <= 0.0D+00 ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'CORR - Fatal error!'

write ( *, '(a)' ) ' The input pressure P must be positive.'

write ( *, '(a,g14.6)' ) ' The input value was P = ', p

stop

end if

if ( t <= 646.3D+00 ) then

if ( rhol <= 0.0D+00 ) then

 rho_start = 1.11D+00 - 0.0004D+00 * t

else

 rho_start = rhol

end if

call dense ( p_consistent, t, rho_start, rho, dpdr )

call therm ( t, rho, a, cjth, cjtt, cd, cv, dpdr, dpdt, g, h, 

 +p_consistent, s, u )

rhol = rho

gl = g

if ( rhov <= 0.0D+00 ) then

 rho_start = p_consistent / ( gascon() * t )

else

 rho_start = rhov

end if

call dense ( p_consistent, t, rho_start, rho, dpdr )

rho = max ( rho, rho_min )

call therm ( t, rho, a, cjth, cjtt, cp, cv, dpdr, dpdt, g, h,

 +p_consistent, s, u )
C-18

rhov = rho

gv = g

delg = ( gl - gv ) / ( gascon() * t )

p_consistent = p

if ( debug ) then

 write ( *, '(a,g14.6)' ) ' CORR - RHOL = ', rhol

 write ( *, '(a,g14.6)' ) ' RHOV = ', rhov

end if

else if ( t <= t_crit ) then

if ( debug ) then

 write ( *, '(a)' ) 'CORR - Twilight zone'

end if

delg = 0.0D+00

tau = 0.657128D+00 * ( 1.0D+00 - t / t_crit )**0.325D+00

rhol = 0.322D+00 + tau

rhov = 0.322D+00 - tau

rho = rhov

call base ( t, rho, ab, cvb, dpdrb, dpdtb, gb, hb, pb, sb, ub )

call resid ( t, rho, ar, cvr, dpdrr, dpdtr, gr, hr, pr, sr, ur )

p_consistent = pb + pr

else

if ( debug ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'CORR - Weirdo zone'

end if

rhol = 0.322D+00

rhov = 0.322D+00

p_consistent = p_crit

delg = 0.0D+00

end if

return

end

**************************************************************************************

subroutine cp_values ( n, tc, p, cp )

!

!*******************************************************************************

!

!! CP_VALUES returns some values of the specific heat at constant pressure.

!

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,
C-19

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, pages 229-237.

!

! Modified:

!

! 04 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input/output, integer N.

! On input, if N is 0, the first test data is returned, and N is set

! to the index of the test data. On each subsequent call, N is

! incremented and that test data is returned. When there is no more

! test data, N is set to 0.

!

! Output, double precision TC, the temperature, in degrees Celsius.

!

! Output, double precision P, the pressure, in bar.

!

! Output, double precision CP, the specific heat at constant pressure,

! in KJ/(kg K).

!

implicit none

!

integer, parameter :: nmax = 24

!

double precision cp

double precision, save, dimension ( nmax ) :: cpvec = (/

 + 4.228D+00, 2.042D+00, 1.975D+00, 2.013D+00, 2.040D+00,

 + 2.070D+00, 2.135D+00, 2.203D+00, 2.378D+00, 2.541D+00,

 + 2.792D+00, 2.931D+00, 4.226D+00, 4.223D+00, 4.202D+00,

 + 4.177D+00, 4.130D+00, 4.089D+00, 4.053D+00, 4.021D+00,

 + 3.909D+00, 3.844D+00, 3.786D+00, 2.89D+00 /)

integer n

double precision p

double precision, save, dimension ( nmax ) :: pvec = (/

 + 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00,

 + 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00,

 + 1.0D+00, 1.0D+00, 5.0D+00, 10.0D+00, 50.0D+00,

 + 100.0D+00, 200.0D+00, 300.0D+00, 400.0D+00, 500.0D+00,

 + 1000.0D+00, 1500.0D+00, 2000.0D+00, 5000.0D+00 /)

integer nn

double precision tc

double precision, save, dimension ( nmax ) :: tcvec = (/

 + 0.0D+00, 100.0D+00, 200.0D+00, 300.0D+00, 350.0D+00,

 + 400.0D+00, 500.0D+00, 600.0D+00, 850.0D+00, 1100.0D+00,

 + 1600.0D+00, 2000.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00 /)

!

if ( nn < 0 ) then

 nn = 0
C-20

end if

if ( nn >= nmax ) then

nn = 0

tc = 0.0D+00

p = 0.0D+00

cp = 0.0D+00

else

nn = nn + 1

tc = tcvec(nn)

p = pvec(nn)

cp = cpvec(nn)

end if

return

end

**************************************************************************************

subroutine d_gtle_range ( x, a, b, ok )

!

!***********************************************************************

!

!! D_GTLE_RANGE checks that A < X <= B.

!

!

! Modified:

!

! 31 January 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input, double precision X, the value to be checked.

!

! Input, double precision A, B, the left and right endpoints.

!

! Output, logical OK, is TRUE if A < X <= B.

!

double precision a

double precision b

logical ok

double precision x

!

if ( x <= a ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) ' The input quantity is too small.'

write ( *, '(a,g14.6)' ) ' The minimum legal value is ', a

write ( *, '(a,g14.6)' ) ' The input value is ', x

ok = .false.

else if ( b < x ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) ' The input quantity is too large.'

write ( *, '(a,g14.6)' ) ' The maximum legal value is ', a

write ( *, '(a,g14.6)' ) ' The input value is ', x
C-21

ok = .false.

else

ok = .true.

end if

!

return

end

**************************************************************************************

subroutine dense ( p, t, rho_start, rho, dpdr )

!

!*******************************************************************************

!

!! DENSE computes the density for a given pressure and temperature.

!

!

! Discussion:

!

! The use of the variable RHO_START for two opposing purposes is

! poor practice and will be corrected one of these days. Meanwhile,

! the algorithm's behavior, particularly in the two-phase region,

! is very suspect.

!

! Modified:

!

! 19 November 1998

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision P, the pressure, in MegaPascals.

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Input, double precision RHO_START, an initial guess for the density, 

! in G/CM3. The value of RHO_START also signals whether a vapor or liquid

! calculation is to be done. If DPDR is computed negative, then for 

! 0.2967 <= RHO_START, liquid is assumed, otherwise gas.

!

! Output, double precision RHO, the density for the given

! pressure and temperature, in G/CM3.

!

! Output, double precision DPDR, the partial derivative

! dP(T,RHO)/dRHO, with T held fixed, in (MegaPascals CM3)/G.

!
C-22

implicit none

!

double precision ab

double precision ar

double precision cvb

double precision cvr

double precision dp

double precision dpdr

double precision dpdrb

double precision dpdrr

double precision dpdtb

double precision dpdtr

double precision dpdx

double precision errtol

double precision gb

double precision gr

double precision hb

double precision hr

integer it

integer, parameter :: it_max = 50

double precision p

double precision pb

double precision pp

double precision pr

double precision rho

double precision, parameter :: rho_max = 1.9D+00

double precision, parameter :: rho_min = 1.0D-08

double precision rho_start

double precision sb

double precision sr

double precision t

double precision ub

double precision ur

double precision x

!

errtol = sqrt ( epsilon ( errtol ) )

!

! Refuse to handle zero or negative temperatures.

!

if ( t <= 0.0D+00 ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'DENSE - Fatal error!'

write ( *, '(a)' ) 'The input temperature T must be positive.'

write ( *, '(a,g14.6)' ) ' Input value was T = ', t

stop

end if

!

! Refuse to handle zero or negative pressures.

!

if ( p <= 0.0D+00 ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'DENSE - Fatal error!'

write ( *, '(a)' ) ' The input pressure P must be positive.'

write ( *, '(a,g14.6)' ) ' Input value was P = ', p

stop

end if
C-23

rho = rho_start

rho = max ( rho, rho_min )

rho = min ( rho, rho_max )

do it = 1, it_max

call resid ( t, rho, ar, cvr, dpdrr, dpdtr, gr, hr, pr, sr, ur )

call base ( t, rho, ab, cvb, dpdrb, dpdtb, gb, hb, pb, sb, ub )

pp = pb + pr

dpdr = dpdrb + dpdrr

!

! Check for negative DP/DRho, which characterizes the two-phase region.

!

if ( dpdr <= 0.0D+00 ) then

 if ( rho_start >= 0.2967D+00 ) then

 rho = rho * 1.02D+00

 else

 rho = rho * 0.98D+00

 end if

 if ( it <= 10 ) then

 cycle

 end if

end if

dpdx = 1.1D+00 * dpdr

dpdx = max ( dpdx, 0.01D+00 )

dp = abs ( 1.0D+00 - pp / p )

if ( dp <= errtol .or.

 + ( rho > 0.3D+00 .and. dp <= errtol ) .or.

 + ( rho > 0.7D+00 .and. dp <= 10.0D+00 * errtol ) ) then

 return

end if

x = ( p - pp ) / dpdx

if ( abs ( x ) > 0.1D+00 ) then

 x = x * 0.1D+00 / abs ( x )

end if

rho = rho + x

rho = max ( rho, rho_min )

rho = min ( rho, rho_max )

end do

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'DENSE - Warning!'

write ( *, '(a)' ) ' The iteration did not converge.'
C-24

write ( *, '(a,i6)' ) ' Number of iterations was ', it_max

write ( *, '(a,g14.6)' ) ' Last iterate was ', rho

return

end

**************************************************************************************

subroutine dielectric ( t, rho, eps )

!

!*******************************************************************************

!

!! DIELECTRIC returns the static dielectric constant.

!

!

! Discussion:

!

! According to the IAPS, the equation used is valid in the range 

!

! 273.15 degrees Kelvin <= T <= 823.15 degrees K 

! 0 MegaPascals <= P <= 500 MegaPascals.

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, page 266.

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Modified:

!

! 02 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Input, double precision RHO, the density, in G/CM3.

!

! Output, double precision EPS, the dielectric constant, dimensionless.

!

implicit none

!

integer, parameter :: npol_c = 4

!

double precision, parameter, dimension ( 10 ) :: a = (/

 +7.62571D+00, 244.003D+00, -140.569D+00, 27.7841D+00, -96.2805D+00,

 +41.7909D+00, -10.2099D+00, -45.2059D+00, 84.6395D+00, -35.8644D+00
C-25

 +/)

double precision c(0:npol_c)

double precision eps

double precision rho

double precision t

double precision t_copy

double precision, parameter :: t_max = 823.15D+00

double precision, parameter :: t_min = 273.15D+00

double precision, parameter :: t_ref = 298.15D+00

double precision t_star

!

! Refuse to handle zero or negative temperatures.

!

if ( t <= 0.0D+00 ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'DIELECTRIC - Fatal error!'

write ( *, '(a)' ) ' The input temperature T must be positive.'

write ( *, '(a,g14.6)' ) ' Input value was T = ', t

stop

end if

!

! Refuse to handle zero or negative density.

!

if ( rho <= 0.0D+00 ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'DIELECTRIC - Fatal error!'

write ( *, '(a)' ) ' The input density RHO must be positive.'

write ( *, '(a,g14.6)' ) ' Input value was RHO = ', rho

stop

end if

t_copy = t

t_copy = min ( t_copy, t_max )

t_copy = max ( t_copy, t_min )

t_star = t_copy / t_ref

c(0) = 1.0D+00

c(1) = a(1) / t_star

c(2) = ( a(2) / t_star ) + a(3) + a(4) * t_star

c(3) = ( a(5) / t_star ) + a(6) * t_star + a(7) * t_star**2

c(4) = ( a(8) / t_star**2 ) + ( a(9) / t_star ) + a(10)

call dpoly_val_horner ( npol_c, c, rho, eps )

return

end

**************************************************************************************

subroutine dielectric_values ( n, tc, p, eps )

!

!*******************************************************************************

!

!! DIELECTRIC_VALUES returns some values of the static dielectric constant.

!

!

! Reference:
C-26

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, page 266.

!

! Modified:

!

! 03 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input/output, integer N.

! On input, if N is 0, the first test data is returned, and N is set

! to the index of the test data. On each subsequent call, N is

! incremented and that test data is returned. When there is no more

! test data, N is set to 0.

!

! Output, double precision TC, the temperature, in degrees Celsius.

!

! Output, double precision P, the pressure, in bar.

!

! Output, double precision EPS, the dielectric constant, dimensionless.

!

implicit none

!

integer, parameter :: nmax = 15

!

double precision eps

double precision, save, dimension ( nmax ) :: epsvec = (/

 +88.29D+00, 90.07D+00, 92.02D+00, 95.14D+00, 100.77D+00,

 +78.85D+00, 70.27D+00, 62.60D+00, 55.78D+00, 44.31D+00,

 +35.11D+00, 20.40D+00, 1.17D+00, 1.11D+00, 1.08D+00 /)

integer n

double precision p

double precision, save, dimension ( nmax ) :: pvec = (/

 +100.0D+00, 500.0D+00, 1000.0D+00, 2000.0D+00, 5000.0D+00,

 +100.0D+00, 100.0D+00, 100.0D+00, 100.0D+00, 100.0D+00,

 +100.0D+00, 100.0D+00, 100.0D+00, 100.0D+00, 100.0D+00 /)

integer nn

double precision tc

double precision, save, dimension ( nmax ) :: tcvec = (/

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 25.0D+00, 50.0D+00, 75.0D+00, 100.0D+00, 150.0D+00,

 + 200.0D+00, 300.0D+00, 400.0D+00, 500.0D+00, 600.0D+00 /)

!

if ( nn < 0 ) then

nn = 0

end if
C-27

if ( nn >= nmax ) then

nn = 0

tc = 0.0D+00

p = 0.0D+00

eps = 0.0D+00

else

nn = nn + 1

tc = tcvec(nn)

p = pvec(nn)

eps = epsvec(nn)

end if

return

end

**************************************************************************************

subroutine dpoly_val_horner ( n, c, x, cx )

!

!*******************************************************************************

!

!! DPOLY_VAL_HORNER evaluates a polynomial using Horner's method.

!

!

! Modified:

!

! 08 August 1999

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input, integer N, the dimension of C.

!

! Input, double precision C(0:N), the polynomial coefficients.

! C(I) is the coefficient of X**I.

!

! Input, double precision X, the point at which the polynomial 

! is to be evaluated.

!

! Output, double precision CX, the value of the polynomial at X.

!

implicit none

!

integer n

!

double precision c(0:n)

double precision cx

integer i

double precision x

!

cx = c(n)

do i = n - 1, 0, -1

cx = cx * x + c(i)

end do
C-28

return

end

**************************************************************************************

function gascon ( )

!

!*******************************************************************************

!

!! GASCON returns the value of the specific gas constant.

!

!

! Note:

!

! The specific gas constant R is related to the universal gas

! constant R-bar = 8.31441 J/(mol degrees Kelvin) by the molar mass 

! M = 18.0152 g/mol:

!

! R = R-bar / M.

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Output, double precision GASCON, the value of the specific gas 

! constant, in J/(g degrees Kelvin).

!

implicit none

!

double precision gascon

!

gascon = 0.461522D+00

return

end

**************************************************************************************

subroutine ideal ( t, ai, cpi, cvi, gi, hi, si, ui )

!

!*******************************************************************************

!

!! IDEAL computes ideal gas thermodynamic properties of water.

!

!

! Discussion:

!

! Values for thermodynamic properties of water in the ideal

! gas state were reported by Woolley. The formula for the ideal gas
C-29

! term of the Helmholtz function approximates a term by term summation of 

! contributions from each of the rotation and vibration states. 

! The formula, equation #6 in the reference, is:

! 

! A(ideal)(T) = -R * T * ( 1 + ( C(1)/Tr + C(2) ) * ln(Tr)

! + Sum ( 3 <= I <= 18) C(I) * Tr**(I-6)

! 

! where Tr=T/100 K. The C(i) are tabulated coefficients. Equation

! 6 can be used for temperatures below 3000 K, and is accurate to

! within the tolerance of the gas constant for 50<=T<=2000 K.

! 

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Output, double precision AI, the Helmholtz function, in KJ/kg.

!

! Output, double precision CPI, the heat capacity at constant pressure,

! in KJ/(kg degrees Kelvin).

!

! Output, double precision CVI, the heat capacity at constant volume,

! in KJ/(kg degrees Kelvin).

!

! Output, double precision GI, the Gibbs free energy, in KJ/kg.

!

! Output, double precision HI, the enthalpy, in KJ/kg.

!

! Output, double precision SI, the entropy, in KJ/(kg degrees Kelvin).

!

! Output, double precision UI, the internal energy, in KJ/kg.

!

implicit none

!

double precision ai

double precision, parameter, dimension ( 18 ) :: c = (/

 +19.730271018D+00, 20.9662681977D+00, -0.483429455355D+00,

 +6.05743189245D+00, 22.56023885D+00, -9.87532442D+00,

 +-4.3135538513D+00, 0.458155781D+00, -0.047754901883D+00,

 +0.0041238460633D+00, -0.00027929052852D+00, 0.14481695261D-04,

 +-0.56473658748D-06, 0.16200446D-07, -0.3303822796D-09,

 +0.451916067368D-11, -0.370734122708D-13, 0.137546068238D-15 /)

double precision cpi

double precision cvi

double precision gascon

double precision gi

double precision hi

integer i
C-30

double precision si

double precision t

double precision temp

double precision tt

double precision ui

!

! Refuse to handle zero or negative temperatures.

!

if ( t <= 0.0D+00 ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'IDEAL - Fatal error!'

write ( *, '(a)' ) ' The input temperature T must be positive.'

write ( *, '(a,g14.6)' ) ' Input value was T = ', t

stop

end if

tt = t / 100.0D+00

gi = - ( c(1) / tt + c(2) ) * log ( tt )

do i = 3, 18

gi = gi - c(i) * tt**(i-6)

end do

hi = c(2) + c(1) * ( 1.0D+00 - log ( tt ) ) / tt

do i = 3, 18

hi = hi + dble ( i - 6 ) * c(i) * tt**(i-6)

end do

cpi = c(2) - c(1) / tt

do i = 3, 18

cpi = cpi + dble ( ( i - 6 ) * ( i - 5 ) ) * c(i) * tt**(i-6)

end do

ai = gi - 1.0D+00

ui = hi - 1.0D+00

cvi = cpi - 1.0D+00

si = hi - gi

!

! Assign dimensions.

!

ai = gascon() * t * ai

cpi = gascon() * cpi

cvi = gascon() * cvi

gi = gascon() * t * gi

hi = gascon() * t * hi

si = gascon() * si

ui = gascon() * t * ui

return

end

**************************************************************************************

subroutine output 

!

!***********************************************************************

!

!! OUTPUT prints the values of the thermodynamic quantities.
C-31

!

!

! Modified:

!

! 02 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

Use MainVar

! implicit none

!

!cdjm Output changed to display both British and Metric values.

! double precision a, ae

! double precision c, ce

! double precision cjth, cjthe

! double precision cjtt, cjtte

! double precision cp, cpe

! double precision cv, cve

! double precision dpdr, dpdre

! double precision dpdt, dpdte

! double precision dvdr, dvdre

! double precision dvdt, dvdte

! double precision eps

! double precision eta, etae

! double precision g, ge

! double precision h, he

! character ( len = 72 ) label

! double precision lambda, lambdae

! double precision p, pe

! double precision pr

! double precision rho, rhoe

! double precision s, se

! double precision sigma, sigmae

! double precision t, te

! double precision u, ue

! double precision v, ve

! double precision vir, vire

!

!cdjm British value conversion for each variable 

!

ae = a*.430

ce = c*3.281

cjthe = cjth*(1.8/145.04)

cjtte = cjtt/62.43

cpe = cp/4.187

cve = cv/4.187

dpdre = dpdr*(145.04/62.43)

dpdte = dpdt*(145.04/1.8)

dvdre = dvdr*(1/62.43)*(1/62.43)

dvdte = dvdt*(1/62.43)*(1/1.8)

etae = eta*2.4191E9

ge = g*.430
C-32

he = h*.430

lambdae = lambda*1.4379E5

pe = p*145.04

rhoe = rho*62.43

se = s/4.187

sigmae = sigma*6.852E-2

te = t*1.8-459.67

ue = u*.430

ve = v/62.43

vire = vir/62.43

!

open (6, file = 'output.txt')

!

! Option for user to view calculated properties in output

!

open (5, file = 'input.txt')

! write (*,*) "Enter (1) to view the calculated properties."

read (5,*) propchoice

!

if(propchoice == 1) then

write ( 6, * ) ' '

write ( 6, '(a)' ) trim ( label )

write ( 6, '(a)' )' '

write ( 6, 1096)ae,a

write ( 6, 1097)ce,c

write ( 6, 1095)cjthe,cjth

write ( 6, 1099)cjtte,cjtt

write ( 6, 1100)cpe,cp

write ( 6, 1098)cve,cv

write ( 6, 1102)rhoe,rho

write ( 6, 1103)dpdre,dpdr

write ( 6, 1104)dpdte,dpdt

write ( 6, '(a,g16.8,a,g16.8,a)' ) 

 +'DVDR = ', dvdre, ' FT6/LB2 ', dvdr,' CM6/g2

 + (d Specific Volume/d Density)'

write ( 6, '(a,g16.8,a,g16.8,a)' ) 

 +'DVDT = ', dvdte, ' FT3/(LB F) ', dvdt,' CM3/(g K)

 + (d Specific Volume/ d T)'

write ( 6, '(a,g16.8,a)' ) 

 +'EPS = ', eps, ' 1 

 + (static dielectric constant)'

!

write ( 6, 1094)etae,eta

write ( 6, 1106)ge,g

write ( 6, 1107)he,h

write ( 6, '(a,g16.8,a,g16.8,a)' ) 

 +'LAMBDA = ', lambdae, ' BTU/(HR FT F)', lambda,' MW/(m K)

 + (thermal conductivity)'

write ( 6, 1108)pe,p

write ( 6, '(a,g16.8,a)' ) 

 +'PR = ', pr, ' 1 

 + (Prandtl number)'

write ( 6, 1101)se,s

write ( 6, 1092)sigmae,sigma

write ( 6, 1109)te,t

write ( 6, '(a,g16.8,a,g16.8,a)' ) 
C-33

 +'U = ', ue, ' BTU/LB ', u,' KJ/kg

 + (internal energy)'

write ( 6, '(a,g16.8,a,g16.8,a)' ) 

 +'V = ', ve, ' FT3/LB ', v,' CM3/g

 + (specific volume)'

write ( 6, '(a,g16.8,a,g16.8,a)' ) 

 +'VIR = ', vire, ' FT3/LB ', vir,' CM3/g

 + (second virial coefficient)'

return

!

else

write ( 6, 1108)pe,p

write ( 6, 1109)te,t

end if

!

1092 format('SIGMA = ',g16.8,' LB/FT ',g16.8,' Pa M

 + (surface tension)')

1094 format('ETA = ',g16.8,' LB/(FT HR) ',g16.8,' MPa s

 + (viscosity)')

1095 format('CJTH = ',g16.8,' F/PSIA ',g16.8,' K/MPa

 + (Joule-Thomson coefficient)')

1096 format('A = ',g16.8,' BTU/LB ',g16.8,' KJ/kg

 + (Helmholtz function)')

1097 format('C = ',g16.8,' FT/s ',g16.8,' M/s

 + (speed of sound)')

1098 format('CV = ',g16.8,' BTU/(LB F) ',g16.8,' KJ/(kg K)

 + (Specific heat at constant volume)')

1099 format('CJTT = ',g16.8,' FT3/LB ',g16.8,' CM3/g

 + (Isothermal Joule-Thomson coefficient)')

1100 format('CP = ',g16.8,' BTU/(LB F) ',g16.8,' KJ/(kg K)

 + (Specific heat at constant pressure)')

1101 format('S = ',g16.8,' BTU/(LB F) ',g16.8,' KJ/(kg K)

 + (entropy)')

1102 format('RHO = ',g16.8,' LB/FT3 ',g16.8,' g/CM3

 + (density)')

1103 format('DPDR = ',g16.8,' PSIA FT3/LB ',g16.8,' MPa CM3/g

 + (D Pressure/D Density)')

1104 format('DPDT = ',g16.8,' PSIA/F ',g16.8,' MPa/K

 + (D Pressure/D Temperature)')

1106 format('G = ',g16.8,' BTU/LB ',g16.8,' KJ/kg

 + (Gibbs specific energy)')

1107 format('H = ',g16.8,' BTU/LB ',g16.8,' KJ/kg

 + (enthalpy)')

1108 format('P = ',g16.8,' PSIA ',g16.8,' MPa

 + (pressure)')

1109 format('T = ',g16.8,' Degrees F ',g16.8,' K 

 + (temperature)')

!

return

end

**************************************************************************************

subroutine prandtl ( t, p, pr )

!

!*******************************************************************************

!

!! PRANDTL computes the Prandtl number.
C-34

!

!

! Discussion:

!

! This routine was NOT working properly for large pressures,

! because the routine CORR was changing the input value of P.

!

! Modified:

!

! 17 November 1998

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Input, double precision P, the pressure, in MegaPascals.

!

! Output, double precision PR, the Prandtl number, dimensionless.

!

implicit none

!

double precision a

double precision cjth

double precision cjtt

double precision cp

double precision cv

logical, parameter :: debug = .false.

double precision dpdr

double precision dpdt

double precision eta

double precision g

double precision h

double precision lambda

double precision p

double precision pr

double precision rho

double precision rhol

double precision rho_start

double precision rhov

double precision s

double precision t

double precision t2

double precision u
C-35

!

! Refuse to handle zero or negative temperatures.

!

if ( t <= 0.0D+00 ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'PRANDTL - Fatal error!'

write ( *, '(a)' ) ' The input temperature T must be positive.'

write ( *, '(a,g14.6)' ) ' The input value was T = ', t

stop

end if

!

! Refuse to handle zero or negative pressures.

!

if ( p <= 0.0D+00 ) then

write ( *, '(a)' ) ' '

write ( *, '(a)' ) 'PRANDTL - Fatal error!'

write ( *, '(a)' ) ' The input pressure P must be positive.'

write ( *, '(a,g14.6)' ) ' The input value was P = ', p

stop

end if

!

! Compute the density.

!

if ( debug ) then

write ( *, * ) 'PRANDTL - Call TSAT, with P = ', p

end if

rhol = 0.0D+00

rhov = 0.0D+00

call tsat ( t2, p, rhol, rhov )

if ( debug ) then

write ( *, * ) 'PRANDTL - T2 = ', t2

end if

if ( t < t2 ) then

rho_start = 1.9D+00

else

rho_start = 0.01D+00

end if

call dense ( p, t, rho_start, rho, dpdr )

if ( debug ) then

write ( *, * ) 'PRANDTL - RHO = ', rho

end if

!

! Now from T and RHO, compute CP, ETA and LAMBDA.

!

call therm ( t, rho, a, cjth, cjtt, cp, cv, dpdr, dpdt, g, h, p,

 + s, u )

call viscosity ( t, rho, eta )

call thercon ( t, rho, lambda )
C-36

if ( debug ) then

write ( *, '(7f10.4)' ) t, p, rho, eta, cp, lambda, pr

end if

pr = eta * cp / lambda

return

end

**************************************************************************************

subroutine prandtl_values ( n, tc, p, pr )

!

!*******************************************************************************

!

!! PRANDTL_VALUES returns some values of the Prandtl number for testing.

!

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, page 265.

!

! Modified:

!

! 04 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input/output, integer N.

! On input, if N is 0, the first test data is returned, and N is set

! to the index of the test data. On each subsequent call, N is

! incremented and that test data is returned. When there is no more

! test data, N is set to 0.

!

! Output, double precision TC, the temperature, in degrees Celsius.

!

! Output, double precision P, the pressure, in bar.

!

! Output, double precision PR, the Prandtl number, dimensionless.

!

implicit none

!

integer, parameter :: nmax = 35

!

integer n

double precision p

double precision pr

double precision, save, dimension ( nmax ) :: prvec = (/
C-37

 +13.50D+00, 13.48D+00, 13.46D+00, 13.39D+00, 13.27D+00,

 +13.15D+00, 13.04D+00, 12.93D+00, 12.83D+00, 12.73D+00,

 +12.63D+00, 12.53D+00, 12.43D+00, 12.34D+00, 12.25D+00,

 +12.08D+00, 11.92D+00, 11.77D+00, 11.62D+00, 11.48D+00,

 +11.36D+00, 11.23D+00, 11.12D+00, 10.91D+00, 10.72D+00, 

 +10.55D+00, 6.137D+00, 3.555D+00, 2.378D+00, 1.000D+00,

 +0.974D+00, 0.960D+00, 0.924D+00, 0.899D+00, 0.882D+00 /)

double precision, save, dimension ( nmax ) :: pvec = (/

 + 1.0D+00, 5.0D+00, 10.0D+00, 25.0D+00, 50.0D+00,

 +75.0D+00, 100.0D+00, 125.0D+00, 150.0D+00, 175.0D+00,

 +200.0D+00, 225.0D+00, 250.0D+00, 275.0D+00, 300.0D+00,

 +350.0D+00, 400.0D+00, 450.0D+00, 500.0D+00, 550.0D+00,

 +600.0D+00, 650.0D+00, 700.0D+00, 800.0D+00, 900.0D+00,

 +1000.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00,

 + 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00 /)

integer nn

double precision tc

double precision, save, dimension ( nmax ) :: tcvec = (/

 +0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 +0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 +0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 +0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 +0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 +0.0D+00, 25.0D+00, 50.0D+00, 75.0D+00, 100.0D+00,

 +150.0D+00, 200.0D+00, 400.0D+00, 600.0D+00, 800.0D+00 /)

!

if ( nn < 0 ) then

 nn = 0

end if

if ( nn >= nmax ) then

 nn = 0

 tc = 0.0D+00

 p = 0.0D+00

 pr = 0.0D+00

else

 nn = nn + 1

 tc = tcvec(nn)

p = pvec(nn)

pr = prvec(nn)

end if

return

end

**************************************************************************************

subroutine psat ( t, p, rhol, rhov )

!

!*******************************************************************************

!

!! PSAT calculates the vapor pressure, and the liquid and vapor densities.

!

!

! Discussion:

!

! These quantities correspond to the input temperature T, corrected

! so that the Gibbs functions for liquid and vapor phase are
C-38

! equal to within a tolerance.

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Modified:

!

! 04 February 2002

!

! Parameters:

!

! Input, double precision T, the vapor temperature, in degrees Kelvin.

!

! Output, double precision P, the vapor pressure, in MegaPascals.

!

! Output, double precision RHOL, the liquid density, in G/CM3.

!

! Output, double precision RHOV, the vapor density, in G/CM3.

!

 implicit none

!

 double precision bot

 double precision delg

 double precision dp

 double precision errtol

 double precision gascon

 integer it

integer, parameter :: it_max = 100

double precision p

double precision p_consistent

double precision p_old

 double precision rhol

 double precision rhov

 double precision t

!

! Ensure that output quantities are initialized,, obliterating any

! input values.

!

 p = 0.0D+00

 rhol = 0.0D+00

 rhov = 0.0D+00

!

! Set the error tolerance.

!

 errtol = 100.0D+00 * sqrt ( epsilon ( errtol ) )

!
C-39

! Refuse to handle zero or negative temperatures.

!

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'PSAT - Fatal error!'

 write ( *, '(a)' ) 'The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was T = ', t

 stop

 end if

!

! Get an estimate for the saturation pressure.

!

 call psat_est ( t, p )

 dp = 0.0D+00

 do it = 1, it_max

 call corr ( t, p, p_consistent, rhol, rhov, delg )

 bot = ( rhol - rhov ) / ( rhol * rhov )

 if ( abs ( bot ) < errtol ) then

 write ( *, * ) 'PSAT - Warning, what is this?'

 bot = sign ( errtol, bot )

 end if

 dp = delg * gascon() * t / bot

 p_old = p

 p = p + dp

 if ( abs ( dp ) <= errtol * ( abs ( p ) + 1.0D+00 ) ) then

 return

end if

 if ( p <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'PSAT - Warning!'

 write ( *, '(a)' ) ' The iterates have become nonpositive.'

 write ( *, '(a,i6)' ) ' Iteration number = ', it

 write ( *, '(a,g14.6)' ) ' Last iterate was ', p

 write ( *, '(a,g14.6)' ) ' Previous iterate was ', p_old

 write ( *, '(a,g14.6)' ) ' Last correction was ', dp

 write ( *, '(a)' ) ' Trying to recover...'

 p = 0.5D+00 * p_old

 end if

 if ( p <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'PSAT - Fatal error!'

 write ( *, '(a)' ) ' The iterates have become nonpositive.'

 write ( *, '(a,i6)' ) ' Iteration number = ', it

 write ( *, '(a,g14.6)' ) ' Last iterate was ', p

 write ( *, '(a,g14.6)' ) ' Previous iterate was ', p_old

 write ( *, '(a,g14.6)' ) ' Last correction was ', dp
C-40

 stop

 end if

 end do

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'PSAT - Warning!'

 write ( *, '(a)' ) ' The iteration did not converge.'

 write ( *, '(a,i6)' ) ' The number of iterations was ', it_max

 write ( *, '(a,g14.6)' ) ' Convergence tolerance was ', errtol

write ( *, '(a,g14.6)' ) ' Last iterate was ', p

 write ( *, '(a,g14.6)' ) ' Last correction was ', dp

 return

end

**************************************************************************************

subroutine psat_est ( t, p )

!

!*******************************************************************************

!

!! PSAT_EST makes a rough estimate of the vapor pressure.

!

!

! Discussion:

!

! The calculation agrees with tabulated data to within

! 0.02% for temperature to within a degree or so of the critical

! temperature. The approximate vapor pressure can be refined

! by imposing the condition that the Gibbs functions of the vapor

! and liquid phases be equal.

!

! Modified:

!

! 21 November 1998

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Output, double precision P, the vapor pressure, in MegaPascals.

!

 implicit none

!
C-41

 double precision, parameter, dimension ( 8 ) :: a = (/

 +-7.8889166D+00, 2.5514255D+00, -6.716169D+00, 33.239495D+00,

 +-105.38479D+00, 174.35319D+00, -148.39348D+00, 48.631602D+00 /)

double precision b

 integer i

 double precision p

 double precision q

 double precision t

 double precision, parameter :: t_ref = 647.25D+00

 double precision v

 double precision w

 double precision z

!

! Refuse to handle zero or negative temperatures.

!

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'PSAT_EST - Fatal error!'

 write ( *, '(a)' ) 'The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was T = ', t

 stop

 end if

 if ( t <= 314.0D+00 ) then

 p = 0.1D+00 * exp ( 6.3573118D+00 - 8858.843D+00 / t

 + + 607.56335D+00 * t**( -0.6D+00 ) )

 else

 v = t / t_ref

 w = abs ( 1.0D+00 - v )

 b = 0.0D+00

 do i = 1, 8

 z = i

 b = b + a(i) * w**( ( z + 1.0D+00 ) / 2.0D+00 )

 end do

 q = b / v

 p = 22.093D+00 * exp ( q )

 end if

 return

end

**************************************************************************************

subroutine psat_values ( n, tc, p )

!

!*******************************************************************************

!

!! PSAT_VALUES returns some values of the saturation pressure.

!

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,
C-42

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, pages 9-15.

!

! Modified:

!

! 04 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input/output, integer N.

! On input, if N is 0, the first test data is returned, and N is set

! to the index of the test data. On each subsequent call, N is

! incremented and that test data is returned. When there is no more

! test data, N is set to 0.

!

! Output, double precision TC, the temperature, in degrees Celsius.

!

! Output, double precision P, the saturation pressure, in bar.

!

 implicit none

!

 integer, parameter :: nmax = 12

!

 integer n

 double precision p

 double precision, save, dimension ( nmax ) :: pvec = (/

 +0.0061173D+00,0.0065716D+00,0.0087260D+00,0.12344D+00, 1.0132D+00,

 +2.3201D+00, 4.7572D+00, 15.537D+00, 39.737D+00, 85.838D+00,

 +165.21D+00, 220.55D+00 /)

 double precision tc

 double precision, save, dimension ( nmax ) :: tcvec = (/

 + 0.01D+00, 1.0D+00, 5.0D+00, 50.0D+00, 100.0D+00,

 +125.0D+00, 150.0D+00, 200.0D+00, 250.0D+00, 300.0D+00,

 +350.0D+00, 373.976D+00 /)

!

 if ( n < 0 ) then

 n = 0

 end if

 if ( n >= nmax ) then

 n = 0

 tc = 0.0D+00

 p = 0.0D+00

 else

 n = n + 1

 tc = tcvec(n)

 p = pvec(n)

 end if
C-43

 return

end

**************************************************************************************

subroutine resid ( t, rho, ar, cvr, dpdrr, dpdtr, gr, hr, pr, sr, ur )

!

!*******************************************************************************

!

!! RESID calculates residual contributions to thermodynamic quantities.

!

!

! Discussion:

!

! The residual function consists of 40 terms. The first 36 are

! used in a global least squares fit to experimental data.

!

! Three terms were added that contribute only in the immediate

! neighborhood of the critical point 

! (tk-5) <= T <= (tk+5) C

! 0.20 <= rho <= 0.44 g/cm3, 

!

! A single term was added for the region of high pressure and 

! low temperature: T < 75 C, P > 300 MPa.

!

! Except in these limited regions, the residual function is

! given by the first 36 terms. The equation is

! 

! A(residual)(rho,T)=

! sum(i=1 to 36) (g(i)/k(i)) * (T0/T)**(l(i)) (1-exp(-rho))**(k(i))

! + sum(i=37 to 40) g(i)*delta(i)**(k(i))

! * exp(-alpha(i)*delta(i)**(k(i)) - beta(i)*tau(i)**2)

! (Equation 5)

! 

! where

!

! g(i) are coefficients determined by fits to data,

! delta(i) are reduced densities (delta(i)=((rho-rho(i))/rho(i))

! tau(i) are reduced temperatures (tau(i)=((T-tau(i))/tau(i))

! rho(i) are specified densities.

! tau(i) are specified temperatures.

! The k(i) and l(i) are specified integers.

! 

! Modified:

!

! 22 November 1998

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!
C-44

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Input, double precision RHO, the density, in G/CM3.

!

! Output, double precision AR, the residual contribution to the 

! Helmholtz function, in KJ/kg.

!

! Output, double precision CVR, the residual contribution to the 

! isochoric (constant volume) heat capacity, in KJ/(kg degrees Kelvin).

!

! Output, double precision DPDRR, the residual contribution to 

! the partial derivative dP(T,RHO)/dRHO, with T held fixed, in 

! (MegaPascals CM3)/G.

!

! Output, double precision DPDTR, the residual contribution to 

! the partial derivative dP(T,RHO)/dT, with RHO held fixed, 

! in MegaPascals/degrees Kelvin.

!

! Output, double precision GR, the residual contribution to the Gibbs 

! function, in KJ/kg.

!

! Output, double precision HR, the residual contribution to the 

! enthalpy, in KJ/kg.

!

! Output, double precision PR, the residual contribution to the pressure, 

! in MegaPascals.

!

! Output, double precision SR, the residual contribution to the entropy, 

! in KJ/(kg degrees Kelvin).

!

! Output, double precision UR, the residual contribution to the 

! internal energy, in KJ/kg.

!

 implicit none

!

 double precision, parameter, dimension ( 4 ) :: aad = (/

 + 34.0D+00, 40.0D+00, 30.0D+00, 1050.0D+00 /)

 double precision, parameter, dimension ( 4 ) :: aat = (/

 + 20000.0D+00, 20000.0D+00, 40000.0D+00, 25.0D+00 /)

 double precision, parameter, dimension ( 4 ) :: adz = (/

 + 0.319D+00, 0.319D+00, 0.319D+00, 1.55D+00 /)

 double precision ar

 double precision att

 double precision, parameter, dimension ( 4 ) :: atz = (/

 + 640.0D+00, 640.0D+00, 641.6D+00, 270.0D+00 /)

 double precision cvr

 double precision dadt

 double precision ddz

 double precision del

 double precision dex
C-45

 double precision dfdt

 double precision dpdrr

 double precision dpdtr

 double precision e

 double precision errtol

 double precision ex0

 double precision ex1

 double precision ex2

 double precision fct

 double precision, parameter, dimension (40) :: g = (/

 + -530.62968529023D+00,0.22744901424408D+04, 0.78779333020687D+03,

 + -69.830527374994D+00,0.17863832875422D+05,-0.39514731563338D+05,

 + 0.33803884280753D+05,-0.13855050202703D+05,-0.25637436613260D+06,

 +0.48212575981415D+06, -0.34183016969660D+06, 0.12223156417448D+06,

 +0.11797433655832D+07, -0.21734810110373D+07, 0.10829952168620D+07,

 +-0.25441998064049D+06,-0.31377774947767D+07, 0.52911910757704D+07,

 +-0.13802577177877D+07,-0.25109914369001D+06, 0.46561826115608D+07,

 +-0.72752773275387D+07, 0.41774246148294D+06, 0.14016358244614D+07,

 +-0.31555231392127D+07, 0.47929666384584D+07, 0.40912664781209D+06,

 +-0.13626369388386D+07, 0.69625220862664D+06,-0.10834900096447D+07,

 +-0.22722827401688D+06, 0.38365486000660D+06, 0.68833257944332D+04,

 + 0.21757245522644D+05,-0.26627944829770D+04,-0.70730418082074D+05,

 +-0.225D+00, -1.68D+00, 0.055D+00, -93.0D+00 /)

 double precision gascon

 double precision gr

 double precision hr

 integer i

 integer, parameter, dimension ( 40 ) :: ii = (/

 + 0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6,6,

 + 8,8,8,8,2,2,0,4,2,2,2,4 /)

 integer j

 integer, parameter, dimension ( 40 ) :: jj = (/

 + 2,3,5,7,2,3,5,7,2,3,5,7,2,3,5,7,2,3,5,7,2,3,5,7,2,3,5,7,

 + 2,3,5,7,1,4,4,4,0,2,0,0 /)

 integer k

 integer l

 integer nc

 double precision pr

 double precision q10

 double precision q20

 double precision q2a

 double precision q5t

 double precision qm

 double precision qp

 double precision qr(11)

 double precision qt(10)

 double precision rho

 double precision sr

 double precision, parameter :: s_ref = 7.6180720166752D+00

 double precision t

 double precision, parameter :: t_ref = 647.073D+00

 double precision tau

 double precision tx

 double precision, parameter :: u_ref = - 4328.4549774261D+00

 double precision ur

 double precision v
C-46

!

 errtol = sqrt ( epsilon ( errtol ) )

!

! Refuse to handle zero or negative temperatures.

!

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'RESID - Fatal error!'

 write ( *, '(a)' ) ' The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was T = ', t

 stop

 end if

!

! Refuse to handle zero or negative density.

!

 if ( rho <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'RESID - Fatal error!'

 write ( *, '(a)' ) ' The input density RHO must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was RHO = ', rho

 stop

 end if

 nc = 36

 dpdrr = 0.0D+00

 pr = 0.0D+00

 ar = 0.0D+00

 dadt = 0.0D+00

 cvr = 0.0D+00

 dpdtr = 0.0D+00

 ex0 = - rho

! ex0 = max ( ex0, - 225.0D+00 )

! ex0 = min ( ex0, 225.0D+00 )

 e = exp ( ex0 )

 q10 = rho * rho * e

 q20 = 1.0D+00 - e

 qr(1) = 0.0D+00

 qr(2) = q10

 do i = 2, 10

 qr(i+1) = qr(i) * q20

 end do

 v = t_ref / t

 qt(1) = t / t_ref

 do i = 2, 10

 qt(i) = qt(i-1) * v

 end do

 do i = 1, nc

 k = ii(i) + 1

 l = jj(i)

 qp = g(i) * qr(k+1) * qt(l+1)
C-47

 pr = pr + qp

 dpdrr = dpdrr + (2.0D+00 / rho - (1.0D+00 - e * dble (k - 1)/

 + ( 1.0D+00 - e ) ) ) * qp

 ar = ar + g(i) * qr(k+2) * qt(l+1) / ( rho**2 * e * dble ( k )

 + * gascon ( ) * t )

dfdt =(1.0D+00 - e)**k * dble (1 - l) * qt(l+2) / t_ref / dble (k)

 dadt = dadt + g(i) * dfdt

dpdtr = dpdtr + g(i) * dfdt * rho**2 * e * dble (k) / (1.0D+00 -e)

 cvr = cvr + g(i) * dble ( l ) * dfdt / gascon()

 end do

 qp = 0.0D+00

 q2a = 0.0D+00

 do j = 37, 40

 k = ii(j)

 ddz = adz(j-36)

 del = rho / ddz - 1.0D+00

 if ( abs ( del ) < errtol ) then

 del = errtol

 end if

 ex1 = - aad(j-36) * del**k

! ex1 = max ( ex1, - 225.0D+00 )

! ex1 = min ( ex1, 225.0D+00 )

 dex = exp ( ex1 ) * del**jj(j)

 att = aat(j-36)

 tx = atz(j-36)

 tau = ( t / tx ) - 1.0D+00

 ex2 = - att * tau**2

! ex2 = max ( ex2, - 225.0D+00 )

! ex2 = min ( ex2, 225.0D+00 )

 q10 = dex * exp ( ex2 )

 qm = dble ( jj(j) ) / del - dble (k) * aad(j-36) * del**(k-1)

 fct = qm * rho**2 * q10 / ddz

q5t = fct * (2.0D+00 / rho + qm / ddz) - (rho / ddz)**2 * q10 *

 +( dble ( jj(j) ) / del**2 + dble ( k * ( k - 1 ) ) * aad(j-36) *

 +del**(k-2) )

 dpdrr = dpdrr + q5t * g(j)

 qp = qp + g(j) * fct

 dadt = dadt - 2.0D+00 * g(j) * att * tau * q10 / tx

 dpdtr = dpdtr - 2.0D+00 * g(j) * att * tau * fct / tx
C-48

q2a = q2a + t * g(j) * att *(4.0D+00 * ex2 + 2.0D+00)* q10 / tx**2

 ar = ar + q10 * g(j) / ( gascon() * t )

 end do

 cvr = cvr + q2a / gascon()

 pr = pr + qp

 sr = - dadt / gascon()

 ur = ar + sr

!

! Assign dimensions.

!

 ar = gascon() * t * ar

 cvr = gascon() * cvr

 sr = gascon() * sr

 ur = gascon() * t * ur

!

! Adjust energies.

!

 ar = ar + gascon ( ) * t * s_ref - gascon ( ) * u_ref

 sr = sr - gascon ( ) * s_ref

ur = ur - gascon ( ) * u_ref

 gr = ar + pr / rho

 hr = ur + pr / rho

 return

end

**************************************************************************************

subroutine secvir ( t, vir )

!

!*******************************************************************************

!

!! SECVIR calculates the second virial coefficient at a given temperature.

!

!

! Discussion:

!

! The second virial coefficient VIR appears in the first correction term

! to the ideal gas equation of state:

!

! P = R * T / volume + VIR / volume**2 + ...

!

! Modified:

!

! 28 November 1998

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,
C-49

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Output, double precision VIR, the second virial coefficient, in CM3/G.

!

 implicit none

!

 double precision b1

 double precision b1t

 double precision b1tt

 double precision b2

 double precision b2t

 double precision b2tt

 double precision, parameter, dimension ( 5 ) :: g = (/

 +-0.53062968529023D+03,0.22744901424408D+04, -0.26627944829770D+04,

 + 0.78779333020687D+03, -0.69830527374994D+02 /)

 double precision gascon

 double precision t

 double precision, parameter :: t_ref = 647.073D+00

 double precision v

 double precision vir

!

! Refuse to handle zero or negative temperatures.

!

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'SECVIR - Fatal error!'

 write ( *, '(a)' ) 'The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was T = ', t

 stop

 end if

 call bb ( t, b1, b2, b1t, b2t, b1tt, b2tt )

 v = t_ref / t

 vir = b2 + ( 

 + v * ( g(1) 

 + + v * ( g(2) 

 + + v * ( g(3) 

 + + v * ( g(4) 

 + + v**2 * g(5) ))))) 

 + / ( gascon ( ) * t )

 return

end

**************************************************************************************

subroutine secvir_values ( n, tc, vir )

!
C-50

!*******************************************************************************

!

!! SECVIR_VALUES returns some values of the second virial coefficient.

!

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, pages 24-25.

!

! Modified:

!

! 03 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input/output, integer N.

! On input, if N is 0, the first test data is returned, and N is set

! to the index of the test data. On each subsequent call, N is

! incremented and that test data is returned. When there is no more

! test data, N is set to 0.

!

! Output, double precision TC, the temperature, in degrees Celsius.

!

! Output, double precision VIR, the second virial coefficient, in

! m^3/kg.

!

 implicit none

!

 integer, parameter :: nmax = 19

!

 integer n

 double precision tc

 double precision, save, dimension ( nmax ) :: tcvec = (/

 + 0.0D+00, 5.0D+00, 10.0D+00, 20.0D+00, 30.0D+00,

 + 40.0D+00, 60.0D+00, 90.0D+00, 120.0D+00, 150.0D+00,

 +180.0D+00, 210.0D+00, 240.0D+00, 300.0D+00, 400.0D+00,

 +500.0D+00, 700.0D+00, 1000.0D+00, 2000.0D+00 /)

 double precision vir

 double precision, save, dimension ( nmax ) :: virvec = (/

 + -98.96D+00, -90.08D+00, -82.29D+00, -69.36D+00, -59.19D+00,

 + -51.07D+00, -39.13D+00, -27.81D+00, -20.83D+00, -16.21D+00,

 + -12.98D+00, -10.63D+00, -8.85D+00, -6.39D+00, -4.03D+00,

 + -2.71D+00, -1.32D+00, -0.39D+00, 0.53D+00 /)

!

 if ( n < 0 ) then

 n = 0

 end if
C-51

 if ( n >= nmax ) then

 n = 0

 tc = 0.0D+00

 vir = 0.0D+00

 else

 n = n + 1

 tc = tcvec(n)

 vir = virvec(n)

 end if

 return

end

**************************************************************************************

subroutine sound ( t, p, c )

!

!*******************************************************************************

!

!! SOUND computes the speed of sound given temperature and pressure.

!

!

! Modified:

!

! 22 November 1998

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Input, double precision P, the pressure, in MegaPascals.

!

! Output, double precision C, the speed of sound, in m/s.

!

 implicit none

!

 double precision ab

 double precision ai

 double precision ar

 double precision c

 double precision cp

 double precision cpi

 double precision cv

 double precision cvb
C-52

 double precision cvi

 double precision cvr

 double precision dpdr

 double precision dpdrb

 double precision dpdrr

 double precision dpdt

 double precision dpdtb

 double precision dpdtr

 double precision gb

 double precision gi

 double precision gr

 double precision hb

 double precision hi

 double precision hr

 double precision p

 double precision pb

 double precision pr

 double precision rho

 double precision rhol

 double precision rho_start

 double precision rhov

 double precision sb

 double precision si

 double precision sr

 double precision t

 double precision t2

 double precision ub

 double precision ui

 double precision ur

!

! Refuse to handle zero or negative temperatures.

!

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'SOUND - Fatal error!'

 write ( *, '(a)' ) ' The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was T = ', t

 stop

 end if

!

! Refuse to handle zero or negative pressures.

!

 if ( p <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'SOUND - Fatal error!'

 write ( *, '(a)' ) ' The input pressure P must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was P = ', p

 stop

 end if

!

! For the given pressure, compute the saturation temperature.

!

 rhol = 0.0D+00

 rhov = 0.0D+00

 call tsat ( t2, p, rhol, rhov )
C-53

!

! Depending on whether the temperature is above or below the

! saturation temperature, we expect to compute the density of

! a liquid or vapor.

! 

 if ( t < t2 ) then

 rho_start = 1.9D+00

 else

 rho_start = 0.01D+00

 end if

 call dense ( p, t, rho_start, rho, dpdr )

!

! From T and RHO, compute the thermodynamic properties.

!

 call ideal ( t, ai, cpi, cvi, gi, hi, si, ui )

 call resid ( t, rho, ar, cvr, dpdrr, dpdtr, gr, hr, pr, sr, ur )

 call base ( t, rho, ab, cvb, dpdrb, dpdtb, gb, hb, pb, sb, ub )

 cv = cvb + cvr + cvi

 dpdr = dpdrb + dpdrr

 dpdt = dpdtb + dpdtr

 cp = cv + t * dpdt**2 / ( dpdr * rho**2 )

 c = sqrt ( 1000.0D+00 * cp * dpdr / cv )

 return

end

**************************************************************************************

subroutine sound_values ( n, tc, p, c )

!

!*******************************************************************************

!

!! SOUND_VALUES returns some values of the speed of sound.

!

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, page 238-246.

!

! Modified:

!

! 04 February 2002

!

! Author:

!

! John Burkardt

!
C-54

! Parameters:

!

! Input/output, integer N.

! On input, if N is 0, the first test data is returned, and N is set

! to the index of the test data. On each subsequent call, N is

! incremented and that test data is returned. When there is no more

! test data, N is set to 0.

!

! Output, double precision TC, the temperature, in degrees Celsius.

!

! Output, double precision P, the pressure, in bar.

!

! Output, double precision C, the speed of sound, in m/s.

!

 implicit none

!

 integer, parameter :: nmax = 20

!

 double precision c

 double precision, save, dimension ( nmax ) :: cvec = (/ 

 + 1401.0D+00, 472.8D+00, 533.7D+00, 585.7D+00, 609.5D+00,

 + 632.2D+00, 674.6D+00, 713.9D+00, 802.0D+00, 880.1D+00,

 + 1017.8D+00, 1115.9D+00, 1401.7D+00,1402.6D+00, 1409.6D+00,

 + 1418.1D+00, 1443.1D+00, 1484.6D+00, 1577.1D+00, 1913.4D+00 /)

 integer n

 double precision p

 double precision, save, dimension ( nmax ) :: pvec = (/

 + 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00,

 + 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00,

 + 1.0D+00, 1.0D+00, 5.0D+00, 10.0D+00, 50.0D+00,

 + 100.0D+00, 250.0D+00, 500.0D+00, 1000.0D+00, 2500.0D+00 /)

 integer nn

 double precision tc

 double precision, save, dimension ( nmax ) :: tcvec = (/

 + 0.0D+00, 100.0D+00, 200.0D+00, 300.0D+00, 350.0D+00,

 + 400.0D+00, 500.0D+00, 600.0D+00, 850.0D+00, 1100.0D+00,

 + 1600.0D+00, 2000.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00 /)

!

 if ( nn < 0 ) then

 nn = 0

 end if

 if ( nn >= nmax ) then

 nn = 0

 tc = 0.0D+00

 p = 0.0D+00

 c = 0.0D+00

 else

 nn = nn + 1

 tc = tcvec(nn)

 p = pvec(nn)

 c = cvec(nn)

 end if

 return
C-55

end

**************************************************************************************

subroutine surten ( t, sigma )

!

!*******************************************************************************

!

!! SURTEN returns the surface tension as a function of temperature.

!

!

! Discussion:

!

! SURTEN uses an equation that yields values of the surface tension to 

! within the accuracy of measurements from the triple point to the 

! critical point.

!

! Sigma = B * ( (TSTAR-T)/TSTAR)**Mu * (1+b*(TSTAR-T)/TSTAR)

!

! where:

!

! TSTAR = 647.15 Degrees Kelvin, 

! B = 0.2358 Pascals * Meters 

! b = -0.625, 

! Mu = 1.256.

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Output, double precision SIGMA, the surface tension, 

! in Pascal * m = Newton / m.

!

 implicit none

!

 double precision, parameter :: b_cap = 0.2358D+00

 double precision, parameter :: b_small = -0.625D+00

 double precision, parameter :: mu = 1.256D+00

 double precision sigma

 double precision t

 double precision, parameter :: t_star = 647.15D+00

 double precision term

!

! Refuse to handle zero or negative temperatures.

!
C-56

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'SURTEN - Fatal error!'

 write ( *, '(a)' ) 'The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was T = ', t

 stop

 end if

 term = ( t_star - t ) / t_star

 sigma = b_cap * term**mu * ( 1.0D+00 + b_small * term )

!

!djm The following comment is incorrect for units given in output table

!djm Removed conversion to obtain sigma in listed output units of (Pa M).

!

! Need this conversion to match the table, but justification is there none.

! 

!djm sigma = 1000.0D+00 * sigma 

 return

end

**************************************************************************************

subroutine surten_values ( n, tc, sigma )

!

!*******************************************************************************

!

!! SURTEN_VALUES returns some values of the surface tension.

!

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, pages 267.

!

! Modified:

!

! 04 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input/output, integer N.

! On input, if N is 0, the first test data is returned, and N is set

! to the index of the test data. On each subsequent call, N is

! incremented and that test data is returned. When there is no more

! test data, N is set to 0.

!

! Output, double precision TC, the temperature, in degrees Celsius.

!

! Output, double precision SIGMA, the surface tension, 
C-57

! in Pascal * m = Newton / m.

!

 implicit none

!

 integer, parameter :: nmax = 14

!

 integer n

 double precision sigma

 double precision, save, dimension ( nmax ) :: sigmavec = (/

 + 74.22D+00, 72.74D+00, 71.20D+00, 69.60D+00, 67.95D+00,

 + 58.92D+00, 48.75D+00, 37.68D+00, 26.05D+00, 14.37D+00,

 + 8.78D+00, 3.67D+00, 0.40D+00, 0.0D+00 /)

 double precision tc

 double precision, save, dimension ( nmax ) :: tcvec = (/

 + 10.0D+00, 20.0D+00, 30.0D+00, 40.0D+00, 50.0D+00,

 + 100.0D+00, 150.0D+00, 200.0D+00, 250.0D+00, 300.0D+00,

 + 325.0D+00, 350.0D+00, 370.0D+00, 373.976D+00 /)

!

 if ( n < 0 ) then

 n = 0

 end if

 if ( n >= nmax ) then

 n = 0

 tc = 0.0D+00

 sigma = 0.0D+00

 else

 n = n + 1

 tc = tcvec(n)

 sigma = sigmavec(n)

 end if

 return

end

**************************************************************************************

subroutine tdpsdt ( t, dp )

!

!*******************************************************************************

!

!! TDPSDT computes the quantity T * dP(Sat)/dT.

!

!

! Discussion:

!

! Here T is the temperature and P(Sat) is the vapor pressure. 

! It is used by TSAT_EST and TSAT.

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!
C-58

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Output, double precision DP, the value T*(dP(Sat)/dT), 

! in MegaPascals.

!

 implicit none

!

 double precision, parameter, dimension ( 8 ) :: a = (/

 + -7.8889166D+00, 2.5514255D+00, -6.716169D+00, 33.239495D+00,

 + -105.38479D+00, 174.35319D+00, -148.39348D+00, 48.631602D+00 /)

 double precision b

 double precision c

 double precision dp

 integer i

 double precision q

 double precision t

 double precision, parameter :: t_ref = 647.25D+00

 double precision v

 double precision w

 double precision y

 double precision z

!

! Refuse to handle zero or negative temperatures.

!

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'TDPSDT - Fatal error!'

 write ( *, '(a)' ) 'The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was T = ', t

 stop

 end if

 v = t / t_ref

 w = 1.0D+00 - v

 b = 0.0D+00

 c = 0.0D+00

 do i = 1, 8

 z = dble ( i + 1 ) / 2.0D+00

 y = a(i) * w**z

 c = c + (y / w) * (0.5D+00 - 0.5D+00 * dble (i) - 1.0D+00 / v)

 b = b + y

 end do

 q = b / v

 dp = 22.093D+00 * exp ( q ) * c

 return

end

**************************************************************************************

subroutine thercon ( t, rho, lambda )
C-59

!

!*******************************************************************************

!

!! THERCON calculates the thermal conductivity for given temperature and density.

!

!

! Modified:

!

! 20 November 1998

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Input, double precision RHO, the density, in G/CM3.

!

! Output, double precision LAMBDA, the thermal conductivity, 

! in mW/(m degrees Kelvin).

!

 implicit none

!

 double precision a

 double precision, parameter, dimension ( 0:3 ) :: acof = (/

 + 2.02223D+00, 14.11166D+00, 5.25597D+00, -2.01870D+00 /)

 double precision, parameter :: a_con = 18.66D+00

 double precision b(0:4,0:5)

 double precision, parameter :: b_con = 1.00D+00

 double precision, parameter :: c_con = 3.7711D-08

 double precision chi

 double precision cjth

 double precision cjtt

 double precision cp

 double precision cv

 double precision dpdr

 double precision dpdr2

 double precision dpdt

 double precision eta

 double precision g

 double precision h

 integer i

 integer j

 double precision lambda

 double precision lambda0
C-60

double precision lambda_del

 double precision, parameter :: omega = 0.4678D+00

 double precision p

 double precision, parameter :: p_ref = 22.115D+00

 double precision power

 double precision rho

 double precision, parameter :: rho_ref = 317.763D+00

 double precision rho2

 double precision s

 double precision t

 double precision, parameter :: t_ref = 647.27D+00

 double precision total

 double precision u

!

 data b / 

 + 1.3293046D+00, 1.7018363D+00, 5.2246158D+00, 

 + 8.7127675D+00, -1.8525999D+00,

 + -0.40452437D+00, -2.2156845D+00, -10.124111D+00, 

 + -9.5000611D+00, 0.93404690D+00,

 + 0.24409490D+00, 1.6511057D+00, 4.9874687D+00, 

 + 4.3786606D+00, 0.0D+00,

 + 0.018660751D+00, -0.76736002D+00, -0.27297694D+00,

 + -0.91783782D+00, 0.0D+00,

 + -0.12961068D+00, 0.37283344D+00, -0.43083393D+00, 

 + 0.0D+00, 0.0D+00,

 + 0.044809953D+00, -0.11203160D+00, 0.13333849D+00, 

 + 0.0D+00, 0.0D+00 /

!

! Refuse to handle zero or negative temperatures.

!

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'THERCON - Fatal error!'

 write ( *, '(a)' ) 'The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was T = ', t

 stop

 end if

!

! Refuse to handle zero or negative density.

!

 if ( rho <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'THERCON - Fatal error!'

 write ( *, '(a)' ) ' The input density RHO must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was RHO = ', rho

 stop

 end if

!

! Compute DPDR, DPDT, ETA.

!

 call therm ( t, rho, a, cjth, cjtt, cp, cv, dpdr, dpdt, g, h, p,

 + s, u )

 call viscosity ( t, rho, eta )

!

! Convert RHO from G/CM3 to kg/M3,
C-61

! Convert DPDR from ? to ?.

!

 rho2 = 1000.0D+00 * rho

 dpdr2 = dpdr / 1000.0D+00

!

! Compute LAMBDA0.

!

 total = 0.0D+00

 do i = 0, 3

 total = total + acof(i) * ( t_ref / t )**i

 end do

 lambda0 = sqrt ( t / t_ref ) / total

!

! Compute CHI.

!

 chi = rho2 * p_ref / ( rho_ref**2 * dpdr2 )

!

! Compute delta_Lambda

!

 power = - a_con *((t_ref - t) / t)**2 - b_con *((rho2 - rho_ref)

 + / rho_ref )**4

lambda_del = (c_con / eta) * ((t * rho_ref) / (t_ref * rho))**2

 + *(t_ref / p_ref)**2 * dpdt**2 * chi**omega * sqrt(rho2 / rho_ref)

 + *exp ( power )

!

! Compute LAMBDA.

!

 total = 0.0D+00

 do i = 0, 4

 do j = 0, 5

 total = total + b(i,j) * ( ( t_ref - t ) / t )**i *

 +(( rho2 - rho_ref ) / rho_ref )**j

 end do

 end do

 lambda = lambda0 * exp ((rho2 / rho_ref) * total) + lambda_del

!

! Temporary fix.

!

 lambda = 1000.0D+00 * lambda

 return

end

**************************************************************************************

subroutine thercon_values ( n, tc, p, lambda )

!

!*******************************************************************************

!

!! THERCON_VALUES returns some values of the thermal conductivity.

!

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,
C-62

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, page 264.

!

! Modified:

!

! 04 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input/output, integer N.

! On input, if N is 0, the first test data is returned, and N is set

! to the index of the test data. On each subsequent call, N is

! incremented and that test data is returned. When there is no more

! test data, N is set to 0.

!

! Output, double precision TC, the temperature, in degrees Celsius.

!

! Output, double precision P, the pressure, in bar.

!

! Output, double precision LAMBDA, the thermal conductivity, in 

! mW/(m degrees Kelvin).

!

 implicit none

!

 integer, parameter :: nmax = 35

!

 integer n

 double precision p

 double precision lambda

 double precision, save, dimension ( nmax ) :: lambdavec = (/

 + 561.0D+00, 561.3D+00, 561.5D+00, 562.4D+00, 563.7D+00,

 + 565.1D+00, 566.5D+00, 567.9D+00, 569.3D+00, 570.6D+00,

 + 572.0D+00, 573.4D+00, 574.8D+00, 576.1D+00, 577.5D+00,

 + 580.2D+00, 582.9D+00, 585.5D+00, 588.1D+00, 590.7D+00,

 + 593.3D+00, 595.8D+00, 598.3D+00, 603.1D+00, 607.8D+00,

 + 612.2D+00, 607.2D+00, 643.6D+00, 666.8D+00, 25.08D+00,

 + 28.85D+00, 33.28D+00, 54.76D+00, 79.89D+00, 107.3D+00 /)

 double precision, save, dimension ( nmax ) :: pvec = (/

 + 1.0D+00, 5.0D+00, 10.0D+00, 25.0D+00, 50.0D+00,

 + 75.0D+00, 100.0D+00, 125.0D+00, 150.0D+00, 175.0D+00,

 + 200.0D+00, 225.0D+00, 250.0D+00, 275.0D+00, 300.0D+00,

 + 350.0D+00, 400.0D+00, 450.0D+00, 500.0D+00, 550.0D+00,

 + 600.0D+00, 650.0D+00, 700.0D+00, 800.0D+00, 900.0D+00,

 + 1000.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00,

 + 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00 /)

 integer nn

 double precision tc

 double precision, save, dimension ( nmax ) :: tcvec = (/

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,
C-63

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 25.0D+00, 50.0D+00, 75.0D+00, 100.0D+00,

 + 150.0D+00, 200.0D+00, 400.0D+00, 600.0D+00, 800.0D+00 /)

!

if ( nn < 0 ) then

 nn = 0

 end if

 if ( nn >= nmax ) then

 nn = 0

 tc = 0.0D+00

 p = 0.0D+00

 lambda = 0.0D+00

 else

 nn = nn + 1

 tc = tcvec(nn)

 p = pvec(nn)

 lambda = lambdavec(nn)

 end if

 return

end

**************************************************************************************

subroutine therm (t, rho, a, cjth, cjtt, cp, cv, dpdr, dpdt, g, h,

 + p, s, u)

!

!*******************************************************************************

!

!! THERM calculates thermodynamic functions given temperature and density.

!

!

! Discussion:

!

! Thermodynamic values were calculated from an analytic equation

! that approximates the Helmholtz function (specific Helmholtz

! energy) for ordinary water and steam, of the form A=A(rho,T)

! where A is the Helmholtz function, rho the density, and T

! the absolute (thermodynamic) temperature. Any thermodynamic

! value for any state, liquid, vapor or metastable, may be

! calculated by differentiation of this equation in accord with

! the first and second laws of thermodynamics.

! 

! The International Association for the Properties of Steam

! has provisionally accepted this formulation for the range

! 273.15 <= T <= 1273.15 degrees Kelvin, where, for 423.15 <= T,

! the maximum pressure is Pmax = 1500 MPa = 15000 bar, and for

! 273.15 <= T < 423.15, the maximum pressure is

! Pmax = 100 * (5 + (T-273.15)/15) MPa.

! 

! Close to the critical point, a small region is excluded:

! Abs(T-Tk) < 1, abs((rho-rhok)/rhok) < 0.3.

! 

! The equation has a wider useful range, namely, fluid states
C-64

! of pure, undissociated water and steam defined by

! 260 <= T <= 2500 K and 0 <= P <= 3000 MPa.

! 

! Thermodynamic property values for specific volume, density,

! specific internal energy, specific enthalpy, and specific

! entropy of water and steam were tabulated over the range

! 0 <= t <= 2000 C, 0 <= P <= 3000 MPa. The reference

! state is the liquid at the triple point, for which the

! internal energy and entropy have been assigned the value zero.

! 

! Thermodynamic quantities are determined from the Helmholtz function

! A(rho,T), which is computed as the sum of three terms:

!

! A(rho,T) = A(base)(rho,T) + A(residual)(rho,T) + A(ideal)(T)

! (Equation 1)

!

! Because A(rho,T) is everywhere single valued and analytic,

! we can derive closed form relations for all other properties.

! In the following, unless otherwise indicated, the independent

! variables are temperature T and density RHO, and differentiation

! with respect to one variable is to imply that the other is fixed.

! 

! Pressure: P = RHO**2 * dA/dRHO

! Density derivative: dP/dRHO = 2*P/RHO + RHO**2 * d2A/dRHO2

! Temperature derivative: dP/dT = RHO**2 * d2A/(dRHO dT)

! Specific entropy: S = - dA/dT

! Specific internal energy: U = A + T*S

! Specific enthalpy: H = U + P/RHO

! Specific heat capacity

! at constant volume: Cv = - T * d2A/dT2

! Specific Gibbs function: G = A + P/RHO

! Specific heat capacity

! at constant pressure: Cp = Cv + (T*(dP/dT)**2)/(RHO**2*dP/dRHO)

! Speed of sound: Omega = Sqrt ((Cp/Cv) * dP/dRHO)

! Second virial coefficient: B = 1/(2*R*T) * (d2P/dRHO2) (at RHO=0)

! Isothermal Joule-Thomson

! coefficient: DeltaT = (dH/dP) (fixed T) =

! (1/RHO)-(T*dP/dT)/(RHO**2*dP/dRHO)

! Joule-Thomson coefficient: Mu = (dT/dP) (fixed H) = DeltaT/Cp

! Isentropic temperature-

! pressure coefficient: BetaS = (dT/dP) (fixed S) =

! (DeltaT - 1/RHO)/Cp

! 

! Modified:

!

! 19 November 1998

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!
C-65

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Input, double precision RHO, the fluid density, in G/CM3.

!

! Output, double precision A, the Helmholtz function, in KJ/kg.

!

! Output, double precision CJTH, the Joule-Thomson coefficient,

! in K/MegaPascals.

!

! Output, double precision CJTT, the isothermal Joule-Thomson coefficient,

! in CM3/G.

!

! Output, double precision CP, the isobaric (constant pressure) heat

! capacity, in KJ/(kg degrees Kelvin).

!

! Output, double precision CV, the isochoric (constant volume) heat capacity,

! in KJ/(kg degrees Kelvin).

!

! Output, double precision DPDR, the partial derivative 

! dP(T,RHO)/dRHO, with T held fixed, in MegaPascals*CM3/G.

!

! Output, double precision DPDT, the partial derivative 

! dP(T,RHO)/dT, with RHO held fixed, in MegaPascals/degrees Kelvin.

!

! Output, double precision G, the Gibbs free energy, in KJ/kg.

!

! Output, double precision H, the enthalpy, in KJ/kg.

!

! Output, double precision P, the pressure, in MegaPascals.

!

! Output, double precision S, the entropy, in KJ/(kg degrees Kelvin).

!

! Output, double precision U, the internal energy, in KJ/kg.

!

 implicit none

!

 double precision a

 double precision ab

 double precision ai

 double precision ar

 double precision cjth

 double precision cjtt

 double precision cp

 double precision cpi

 double precision cv

 double precision cvb

 double precision cvi

 double precision cvr

 logical, parameter :: debug = .false.

 double precision dpdr
C-66

 double precision dpdrb

 double precision dpdrr

 double precision dpdt

 double precision dpdtb

 double precision dpdtr

 double precision g

 double precision gb

 double precision gi

 double precision gr

 double precision h

 double precision hb

 double precision hi

 double precision hr

 double precision p

 double precision pb

 double precision pr

 double precision rho

 double precision s

 double precision sb

 double precision si

 double precision sr

 double precision t

 double precision u

 double precision ub

 double precision ui

 double precision ur

!

! Refuse to handle zero or negative temperatures.

!

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'THERM - Fatal error!'

 write ( *, '(a)' ) 'The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was T = ', t

 stop

 end if

!

! Refuse to handle zero or negative density.

!

 if ( rho <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'THERM - Fatal error!'

 write ( *, '(a)' ) ' The input density RHO must be positive.'

 write ( *, '(a,g14.6)' ) ' Input value was RHO = ', rho

 stop

 end if

 call ideal ( t, ai, cpi, cvi, gi, hi, si, ui )

 call resid ( t, rho, ar, cvr, dpdrr, dpdtr, gr, hr, pr, sr, ur)

 call base ( t, rho, ab, cvb, dpdrb, dpdtb, gb, hb, pb, sb, ub)

 a = ab + ar + ai

 cv = cvb + cvr + cvi
C-67

 if ( debug ) then

 write ( *, * ) ' '

 write ( *, * ) 'THERM:'

 write ( *, * ) ' CVB = ', cvb

 write ( *, * ) ' CVR = ', cvr

 write ( *, * ) ' CVI = ', cvi

 write ( *, * ) ' CV = ', cv

 end if

 dpdr = dpdrb + dpdrr

 dpdt = dpdtb + dpdtr

 p = pb + pr

 s = sb + sr + si

 u = ub + ur + ui

 if ( debug ) then

 write ( *, * ) ' '

 write ( *, * ) 'THERM:'

 write ( *, * ) ' UB = ', ub

 write ( *, * ) ' UR = ', ur

 write ( *, * ) ' UI = ', ui

 end if

 g = a + p / rho

 h = u + p / rho

 cp = cv + t * dpdt**2 / ( dpdr * rho**2 )

 cjtt = 1.0D+00 / rho - t * dpdt / ( dpdr * rho**2 )

 cjth = - cjtt / cp

 return

end

**************************************************************************************

subroutine timestamp ( )

!

!*******************************************************************************

!

!! TIMESTAMP prints the current YMDHMS date as a time stamp.

!

!

! Example:

!

! May 31 2001 9:45:54.872 AM

!

! Modified:

!

! 31 May 2001

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! None

!

 implicit none
C-68

!

 character ( len = 8 ) ampm

 integer d

 character ( len = 8 ) date

 integer h

 integer m

 integer mm

 character ( len = 9 ), parameter, dimension(12) :: month = (/

 + 'January ', 'February ', 'March ', 'April ',

 + 'May ', 'June ', 'July ', 'August ',

 + 'September', 'October ', 'November ', 'December ' /)

 integer n

 integer s

 character ( len = 10 ) time

 integer values(8)

 integer y

 character ( len = 5 ) zone

!

 call date_and_time ( date, time, zone, values )

 y = values(1)

 m = values(2)

 d = values(3)

 h = values(5)

 n = values(6)

 s = values(7)

 mm = values(8)

 if ( h < 12 ) then

 ampm = 'AM'

 else if ( h == 12 ) then

 if ( n == 0 .and. s == 0 ) then

 ampm = 'Noon'

 else

 ampm = 'PM'

 end if

 else

 h = h - 12

 if ( h < 12 ) then

 ampm = 'PM'

 else if ( h == 12 ) then

 if ( n == 0 .and. s == 0 ) then

 ampm = 'Midnight'

 else

 ampm = 'AM'

 end if

 end if

 end if

 write ( *, '(a,1x,i2,1x,i4,2x,i2,a1,i2.2,a1,i2.2,a1,i3.3,1x,a)')

 + trim (month(m)), d, y, h, ':', n, ':', s, '.', mm, trim(ampm)

 return

end

**************************************************************************************

subroutine tsat ( t, p, rhol, rhov )
C-69

!

!*******************************************************************************

!

!! TSAT calculates the saturation temperature for a given pressure.

!

!

! Discussion:

!

! The corresponding liquid and vapor densities are also computed.

! The saturation temperature is also known as the "vapor temperature".

!

! Modified:

!

! 04 February 2002

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision P, the vapor pressure, in MegaPascals.

!

! Output, double precision T, the vapor temperature, in degrees Kelvin.

!

! Output, double precision RHOL, the liquid density, in G/CM3.

!

! Output, double precision RHOV, the vapor density, in G/CM3.

!

 implicit none

!

 logical, parameter :: debug = .false.

 double precision delg

double precision dp

 double precision dp2

 double precision errtol

 double precision gascon

 integer it

 integer, parameter :: it_max = 50

 double precision p

 double precision p_consistent

 double precision rhol

 double precision rhov

 double precision t

!

! Initialize output quantities, obliterating any input value.

!
C-70

 t = 0.0D+00

 rhol = 0.0D+00

 rhov = 0.0D+00

!

! Set the error tolerance.

!

 errtol = sqrt ( epsilon ( errtol ) )

!

! Refuse to handle zero or negative pressure.

!

 if ( p <= 0.00000000D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'TSAT - Fatal error!'

 write ( *, '(a)' ) ' The input pressure must be positive!'

 write ( *, '(a,g14.6)' ) ' Your value was P = ', p

 stop

 end if

!

! Estimate the saturation temperature.

!

 call tsat_est ( p, t )

 if ( debug ) then

 write ( *, * ) ' '

 write ( *, * ) 'TSAT:'

 write ( *, '(2g14.6)' ) p, t, rhol, rhov

 end if

 do it = 1, it_max

 call corr ( t, p, p_consistent, rhol, rhov, delg )

 dp = delg * gascon ( ) * t * rhol * rhov / ( rhol - rhov )

 call tdpsdt ( t, dp2 )

 t = t * ( 1.0D+00 - dp / dp2 )

 if ( debug ) then

 write ( *, '(2g14.6)' ) p, t, rhol, rhov

 end if

 if ( abs ( delg ) < errtol ) then

 return

 end if

 end do

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'TSAT - Warning!'

 write ( *, '(a)' ) ' The iteration did not converge.'

 write ( *, '(a,i6)' ) ' Number of iterations was ', it_max

 write ( *, '(a,g14.6)' ) ' Last iterate was ', t

 write ( *, '(a,g14.6)' ) ' Last DELG was ', delg

 

 return
C-71

end

**************************************************************************************

subroutine tsat_est ( p, t )

!

!*******************************************************************************

!

!! TSAT_EST makes a rough estimate of the saturation temperature.

!

!

! Discussion:

!

! The saturation temperature is also called the vapor temperature.

!

! Modified:

!

! 02 February 2002

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision P, the pressure, in MegaPascals. The tabulated

! range for P is 

! 0.00061173 MegaPascals <= P <= P_CRIT = 22.055 MegaPascals. 

! The input value of P must be positive.

!

! Output, double precision T, the saturation temperature, 

! in degrees Kelvin. This value will always be in the range

! [ 273.15, 647.126 ].

!

 implicit none

!

 integer, parameter :: npol = 4

!

 double precision, parameter, dimension ( 0:npol ) :: c = (/

 + 372.83D+00, 27.7589D+00, 2.3819D+00, 0.24834D+00, 0.0193855D+00/)

 double precision dp

 double precision dt

 double precision errtol

 integer it

 integer, parameter :: it_max = 8

 double precision p

 double precision pl

 double precision, parameter :: p_crit = 22.055D+00

 double precision pp
C-72

 double precision t

 double precision, parameter :: t_crit = 647.126D+00

 double precision, parameter :: t_min = 273.15D+00

 double precision t_old

!

 errtol = sqrt ( epsilon ( errtol ) )

!

! Refuse to handle zero or negative pressure.

!

 if ( p <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'TSAT_EST - Fatal error!'

 write ( *, '(a)' ) ' The input pressure must be positive!'

 write ( *, '(a,g14.6)' ) ' Your value was P = ', p

 stop

 end if

 if ( p > p_crit ) then

 t = t_crit

 return

 end if

!

! The initial estimate for T uses a polyonmial in the logarithm of P.

!

 pl = 2.302585D+00 + log ( p )

 call dpoly_val_horner ( npol, c, pl, t )

 t = min ( t, t_crit )

 t = max ( t, t_min )

 dt = 0.0D+00

 do it = 1, it_max

 call psat_est ( t, pp )

 call tdpsdt ( t, dp )

 if ( abs ( p - pp ) < errtol * p ) then

 return

 end if

 dt = t * ( p - pp ) / dp

 t_old = t

 t = t * ( 1.0D+00 + ( p - pp ) / dp )

 t = min ( t, t_crit )

 t = max ( t, t_min )

 if ( abs ( dt ) < errtol * ( abs ( t ) + 1.0D+00 ) ) then

 return

 else if ( abs ( t - t_old ) < errtol ) then

 return

 end if
C-73

 end do

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'TSAT_EST - Warning!'

 write ( *, '(a)' ) ' The iteration did not converge.'

 write ( *, '(a,i6)' ) ' Number of iterations was ', it_max

 write ( *, '(a,g14.6)' ) ' Convergence tolerance was ', errtol

 write ( *, '(a,g14.6)' ) ' Last iterate was ', t

 write ( *, '(a,g14.6)' ) ' Last correction was ', dt

 return

end

**************************************************************************************

subroutine tsat_values ( n, p, tc )

!

!*******************************************************************************

!

!! TSAT_VALUES returns some values of the saturation temperature.

!

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, pages 16-22.

!

! Modified:

!

! 05 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input/output, integer N.

! On input, if N is 0, the first test data is returned, and N is set

! to the index of the test data. On each subsequent call, N is

! incremented and that test data is returned. When there is no more

! test data, N is set to 0.

!

! Output, double precision P, the pressure, in bar.

!

! Output, double precision TC, the saturation temperature, in 

! degrees Celsius.

!

 implicit none

!

 integer, parameter :: nmax = 20

!

 integer n

 double precision p
C-74

 double precision, save, dimension ( nmax ) :: pvec = (/

 + 0.0061173D+00, 0.012D+00, 0.025D+00, 0.055D+00, 0.080D+00,

 + 0.11D+00, 0.16D+00, 0.25D+00, 0.50D+00, 0.75D+00,

 + 1.0D+00, 1.5D+00, 2.0D+00, 5.0D+00, 10.0D+00,

 + 20.0D+00, 50.0D+00, 100.0D+00, 200.0D+00, 220.55D+00 /)

 double precision tc

 double precision, save, dimension ( nmax ) :: tcvec = (/

 + 0.010D+00, 9.655D+00, 21.080D+00, 34.589D+00, 41.518D+00,

 + 47.695D+00, 55.327D+00, 64.980D+00, 81.339D+00, 91.783D+00,

 + 99.632D+00, 111.378D+00, 120.443D+00, 151.866D+00, 179.916D+00,

 +212.417D+00, 263.977D+00, 311.031D+00, 365.800D+00, 373.976D+00 /)

!

 if ( n < 0 ) then

 n = 0

 end if

 if ( n >= nmax ) then

 n = 0

 p = 0.0D+00

 tc = 0.0D+00

 else

 n = n + 1

 p = pvec(n)

 tc = tcvec(n)

 end if

 return

end

**************************************************************************************

subroutine viscosity ( t, rho, eta )

!

!*******************************************************************************

!

!! VISCOSITY calculates the viscosity for given temperature and density.

!

!

! Discussion:

!

! On 02 February 2002, I discovered that the Haar/Gallagher/Kell

! reference apparently reversed the sign on the A3 coefficient.

! That made the results better, but still off.

!

! Apparently Haar/Gallagher/Kell had a transcription error in

! the value of B(4,1), which they list as -0.273093, but which

! should be -0.253093. 

!

! These two corrections courtesy of Meyer/McClintock/Silvestri/Spencer.

!

! Now the results look proper! And just 12 years late...

!

! Modified:

!

! 02 February 2002

!

! Reference:
C-75

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! International Association for the Properties of Steam,

! Release on Dynamic Viscosity of Water Substance,

! National Bureau of Standards, Washington DC, 1975, revised 1983.

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 

! Fifth Edition, 1983,

! TJ270.A75.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Input, double precision RHO, the density, in G/CM3.

!

! Output, double precision ETA, the viscosity, in MegaPascal seconds.

!

 implicit none

!

 integer, parameter :: npol_t = 3

!

 double precision, parameter, dimension ( 0:npol_t ) :: a = (/

 + 0.0181583D+00, 0.0177624D+00, 0.0105287D+00, -0.0036744D+00 /)

 double precision arg

 double precision, dimension(0:5,0:4) :: b = reshape ( (/

 + 0.501938D+00, 0.162888D+00, -0.130356D+00, 

 + 0.907919D+00, -0.551119D+00, 0.146543D+00, 

 + 0.235622D+00, 0.789393D+00, 0.673665D+00, 

 + 1.207552D+00, 0.0670665D+00, -0.0843370D+00,

 + -0.274637D+00, -0.743539D+00, -0.959456D+00, 

 + -0.687343D+00, -0.497089D+00, 0.195286D+00, 

 + 0.145831D+00, 0.263129D+00, 0.347247D+00, 

 + 0.213486D+00, 0.100754D+00, -0.032932D+00,

 + -0.0270448D+00, -0.0253093D+00, -0.0267758D+00,

 + -0.0822904D+00, 0.0602253D+00, -0.0202595D+00 /),

 + (/ 6,5 /) )

 logical, parameter :: debug = .false.

 double precision eta

 double precision eta0

 integer i

 integer j

 integer k

 double precision rho

 double precision, parameter :: rho_max = 1.050D+00

 double precision, parameter :: rho_ref = 0.317763D+00

 double precision t

 double precision total
C-76

 double precision, parameter :: t_max = 800.00D+00

 double precision, parameter :: t_ref = 647.27D+00

logical, save :: warning1 = .false.

 logical, save :: warning2 = .false.

!

! Refuse to handle zero or negative temperatures.

!

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'VISCOSITY - Fatal error!'

 write ( *, '(a)' ) 'The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' The input value was T = ', t

 stop

 end if 

 if ( t > t_max .and. .not. warning1 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'VISCOSITY - Warning (once only)!'

 write ( *, '(a,g14.6)' )

 + ' The input temperature T should be no more than ', t_max

 write ( *, '(a,g14.6)' ) ' The input value was T = ', t

 write ( *, '(a)' ) ' '

 warning1 = .true.

 end if

!

! Refuse to handle zero or negative density.

!

 if ( rho <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'VISCOSITY - Fatal error!'

 write ( *, '(a)' ) ' The input density RHO must be positive.'

 write ( *, '(a,g14.6)' ) ' The input value was RHO = ', rho

 stop

 end if

 if ( rho > rho_max .and. .not. warning2 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'VISCOSITY - Warning (once only)!'

 write ( *, '(a,g14.6)' )

 + ' The input density RHO should be no more than ', rho_max

 write ( *, '(a,g14.6)' ) ' The input value was RHO = ', rho

 write ( *, '(a)' ) ' '

 warning2 = .true.

 end if

!

! Compute ETA0.

!

 arg = t_ref / t

 call dpoly_val_horner ( npol_t, a, arg, total )

 eta0 = sqrt ( t / t_ref ) / total

!

! Compute ETA.

!

 total = 0.0D+00
C-77

 do i = 0, 5

 do j = 0, 4

 total = total + b(i,j) * ( ( t_ref - t ) / t )**i *

 + ( ( rho - rho_ref ) / rho_ref )**j

 end do

 end do

 eta = eta0 * exp ( ( rho / rho_ref ) * total )

 return

end

**************************************************************************************

subroutine viscosity_values ( n, tc, p, eta )

!

!*******************************************************************************

!

!! VISCOSITY_VALUES returns some values of the viscosity function for testing.

!

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3, page 263.

!

! Modified:

!

! 04 February 2002

!

! Author:

!

! John Burkardt

!

! Parameters:

!

! Input/output, integer N.

! On input, if N is 0, the first test data is returned, and N is set

! to the index of the test data. On each subsequent call, N is

! incremented and that test data is returned. When there is no more

! test data, N is set to 0.

!

! Output, double precision TC, the temperature, in degrees Celsius.

!

! Output, double precision P, the pressure, in bar.

!

! Output, double precision ETA, the viscosity, in MegaPascal seconds.

!

 implicit none

!

 integer, parameter :: nmax = 34

!

 double precision eta

 double precision, save, dimension ( nmax ) :: etavec = (/
C-78

 + 1792.0D+00, 1791.0D+00, 1790.0D+00, 1786.0D+00, 1780.0D+00,

 + 1775.0D+00, 1769.0D+00, 1764.0D+00, 1759.0D+00, 1754.0D+00,

 + 1749.0D+00, 1744.0D+00, 1739.0D+00, 1735.0D+00, 1731.0D+00,

 + 1722.0D+00, 1714.0D+00, 1707.0D+00, 1700.0D+00, 1694.0D+00,

 + 1687.0D+00, 1682.0D+00, 1676.0D+00, 1667.0D+00, 1659.0D+00,

 + 1653.0D+00, 890.8D+00, 547.1D+00, 378.4D+00, 12.28D+00,

 + 16.18D+00, 24.45D+00, 32.61D+00, 40.38D+00 /)

 integer n

 double precision p

 double precision, save, dimension ( nmax ) :: pvec = (/

 + 1.0D+00, 5.0D+00, 10.0D+00, 25.0D+00, 50.0D+00,

 + 75.0D+00, 100.0D+00, 125.0D+00, 150.0D+00, 175.0D+00,

 + 200.0D+00, 225.0D+00, 250.0D+00, 275.0D+00, 300.0D+00,

 + 350.0D+00, 400.0D+00, 450.0D+00, 500.0D+00, 550.0D+00,

 + 600.0D+00, 650.0D+00, 700.0D+00, 800.0D+00, 900.0D+00,

 + 1000.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00,

 + 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00 /)

 integer nn

 double precision tc

 double precision, save, dimension ( nmax ) :: tcvec = (/

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00, 0.0D+00,

 + 0.0D+00, 25.0D+00, 50.0D+00, 75.0D+00, 100.0D+00,

 + 200.0D+00, 400.0D+00, 600.0D+00, 800.0D+00 /)

!

 if ( nn < 0 ) then

 nn = 0

 end if

 if ( nn >= nmax ) then

 nn = 0

 tc = 0.0D+00

 p = 0.0D+00

 eta = 0.0D+00

 else

 nn = nn + 1

 tc = tcvec(nn)

 p = pvec(nn)

 eta = etavec(nn)

 end if

 return

end

**************************************************************************************

subroutine volume ( t, rho, v, dvdt, dvdr )

!

!*******************************************************************************

!

!! VOLUME computes specific volume derivatives given temperature and density.

!

!

! Discussion:

!
C-79

! Because A(rho,T) is everywhere single valued and analytic,

! we can derive closed form relations for all other properties.

!

! The independent variables are temperature T and density RHO, 

! and differentiation with respect to one variable is to imply that 

! the other is held at a fixed value.

! 

! Modified:

!

! 28 November 1998

!

! Reference:

!

! Lester Haar, John Gallagher and George Kell,

! NBS/NRC Steam Tables:

! Thermodynamic and Transport Properties and Computer Programs

! for Vapor and Liquid States of Water in SI Units,

! Hemisphere Publishing Corporation, Washington, 1984,

! TJ270.H3

!

! C A Meyer, R B McClintock, G J Silvestri, R C Spencer,

! ASME Steam Tables: Thermodynamic and Transport Properties of Steam,

! American Society of Mechanical Engineers, 1967.

!

! Parameters:

!

! Input, double precision T, the temperature, in degrees Kelvin.

!

! Input, double precision RHO, the fluid density, in G/CM3.

!

! Output, double precision V, the specific volume, in CM3/G.

!

! Output, double precision DVDT, the partial derivative dV(T,RHO)/dT, 

! where V is the specific volume, in CM3 / (G * degrees Kelvin).

!

! Output, double precision DVDR, the partial derivative dV(T,RHO)/dRHO, 

! where V is the specific volume, in CM3**2 / ( G**2 ).

!

 implicit none

!

 double precision ab

 double precision ar

 double precision cvb

 double precision cvr

 double precision dpdr

 double precision dpdrb

 double precision dpdrr

 double precision dpdt

 double precision dpdtb

 double precision dpdtr

 double precision dvdr

 double precision dvdt

 double precision gb

 double precision gr

 double precision hb

 double precision hr
C-80

 double precision pb

 double precision pr

 double precision rho

 double precision sb

 double precision sr

 double precision t

 double precision ub

 double precision ur

 double precision v

!

! Refuse to handle zero or negative temperatures.

!

 if ( t <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'VOLUME - Fatal error!'

 write ( *, '(a)' ) 'The input temperature T must be positive.'

 write ( *, '(a,g14.6)' ) ' The input value was T = ', t

 stop

 end if

!

! Refuse to handle zero or negative density.

!

 if ( rho <= 0.0D+00 ) then

 write ( *, '(a)' ) ' '

 write ( *, '(a)' ) 'VOLUME - Fatal error!'

 write ( *, '(a)' ) ' The input density RHO must be positive.'

 write ( *, '(a,g14.6)' ) ' The input value was RHO = ', rho

 stop

 end if

 call resid ( t, rho, ar, cvr, dpdrr, dpdtr, gr, hr, pr, sr, ur )

 call base ( t, rho, ab, cvb, dpdrb, dpdtb, gb, hb, pb, sb, ub )

 dpdr = dpdrb + dpdrr

 dpdt = dpdtb + dpdtr

 dvdt = dpdt / ( dpdr * rho**2 )

!

! Because V = 1/Rho, dV/dRho = -1/Rho**2

!

 dvdr = - 1.0D+00 / rho**2

 v = 1.0D+00 / rho

 return

end

**************************************************************************************

subroutine PWRDNBPROPS

!

!

!djm Subroutine PWRDNBPROPS uses the property formulas from the program

! PWRDNB to calculate additional properties. 

!

!

!C*******************************************************************
C-81

!C DEFINITIONS & UNITS

!C

!C HTC IS CONVECTIVE HEAT TRANSFER COEFFICIENT (BTU/HR-FT**2-DEG F)

!C RODD IS THE FUEL ROD OD (INCHES)

!C RODP IS THE FUEL ROD PITCH (INCHES)

!C PELD IS THE PELLET DIA. (INCHES)

!C CT IS THE CLAD THICKNESS (INCHES)

!C TKF IS THE FUEL THERMAL CONDUCTIVITY (BTU/HR-FT-DEG F)

!C TKC IS THE CLAD THERMAL CONDUCTIVITY (BTU/HR-FT-DEG F)

!C HGAP IS THE GAP HEAT TRANSFER COEFFICIENT (BTU/HR-FT**2 DEG F)

!C GIN IS THE CHANNEL MASS FLUID (LBM/HR-FT**2)

!C QC IS THE MAXIMUM VOLUMETRIC HEAT GENERATION

!C QVOLA IS THE CORE AVG VOLUMETRIC HEAT GEN (BTU/HR-FT**3)

!C FQ IS THE TOTAL HOT CHANNEL FACTOR

!C RODN IS THE NUMBER OF RODS PER ASSEMBLY

!C ASSN IS THE NUMBER OF ASSEMBLIES

!C RODL IS THE ACTIVE FUEL LENGTH (FEET)

!C QTHERM IS THE CORE THERMAL OUTPUT (MEG. WATTS)

!C HEX IS THE EXTRAPOLATION HEIGTH (FEET)

!C FMDOT IS CHANNEL MASS FLOW RATE (LBM/HR)

!C AFF IS CHANNEL FLOW AREA (FT**2)

!C AC IS CLAD DIAMETER (FEET)

!C AP IS PELLET DIAMETER (FEET)

!C F IS THE FLUX DEPRESSION FACTOR

!C CP = SPECIFIC HEAT AT INLET TEMPERATURE

!C CPP = SPECIFIC HEAT AVG. BETWEEN INLET & SATURATED TEMPERATURE

!C HG = SPECIFIC ENTHALPY OF GAS (BTU/LB)

!C HF = SPECIFIC ENTHALPY OF FLUID (BTU/LB)

!C HIN = SPECIFIC ENTHALPY AT INLET CONDITIONS (BTU/LB)

!C RHOF = FLUID DENSITY (LB/FT**3)

!C RHOG = GAS DENSITY (LB/FT**3)

!C VISCF = FLUID VISCOSITY (LB/FT*HR)

!C VISCG = GAS VISCOSITY (LB/FT*HR)

!C

!C*******************************************************************

!

!djm Pressure and Temperature from steam_interact subroutine.

!

!

Use MainVar

!

TI=te

PSYS=pe

!

 PI = 3.14159

!C

!C STEAM TABLE CALLS FOR PROPERTIES

!C

TSAT=TSL(PSYS)

 HG = HSV(PSYS,TSAT,S,VG)

 HF = HSL(TSAT)

 HIN = HCL(PSYS,TI,S)

 HFG = HG - HF

 VF=VSL(TSAT)

 RHOF=1./VF

 RHOG=1./VG
C-82

 VISCF=VISL(PSYS,TSAT)

 VISCF=VISCF*3600.

 VISCG=VISV(PSYS,TSAT)

 VISCG=VISCG*3600.

VISCIN=VISL(PSYS,TI)

VISCIN=VISCIN*3600

VISCFG=VISCF - VISCG

VIN=VSL(TI)

RHOIN=1./VIN

NUIN=1./RHOIN

NUF=1./RHOF

NUG=1./RHOG

NUFG=NUG - NUF

!djm Conversion calculation for metric units

 HGM = HG*2.326

HFM = HF*2.326

HINM = HIN*2.326

HFGM = HFG*2.326

RHOFM = RHOF*0.01602

RHOGM = RHOG*0.01602

RHOINM= RHOIN*0.01602

TSATM = (TSAT+459.67)/1.8

VISCFM = VISCF*4.1338E-10

VISCGM = VISCG*4.1338E-10

VISCINM=VISCIN*4.1338E-10

VISCFGM=VISCFM - VISCGM

NUINM=1./RHOINM

NUFM=1./RHOFM

NUGM=1./RHOGM

NUFGM=NUGM - NUFM

!

if (propchoice == 1) then

!djm

open (6, file = 'output.txt')

!

 WRITE(6,100) HG,HGM,HF,HFM,HIN,HINM,HFG,HFGM,RHOF,RHOFM,RHOG,

 +RHOGM,RHOIN,RHOINM,TSAT,TSATM,VISCF,VISCFM,VISCG,VISCGM,VISCIN,

 +VISCINM, VISCFG, VISCFGM, NUF, NUFM, NUG, NUGM, NUIN, NUINM,

 +NUFG, NUFGM

else

write(6,110)TSAT,TSATM

 end if

!

!djm Output altered to display both British and Metric Values 

!

 100 FORMAT(1X,/,

 1 1X'ADDITIONAL CALCULATED PROPERTIES'//

 1 1X,'HG = ',g16.8,' BTU/LB ',g16.8,' KJ/kg

 + (Specific Enthalpy of Gas)'/

 2 1X,'HF = ',g16.8,' BTU/LB ',g16.8,' KJ/kg 

 + (Specific Enthalpy of Liquid)'/

 3 1X,'HIN = ',g16.8,' BTU/LB ',g16.8,' KJ/kg

 + (Specific Enthalpy at Inlet)'/

 4 1X,'HFG = ',g16.8,' BTU/LB ',g16.8,' KJ/kg

 + (Specific Enthalpy of Two-Phase Flow)'/

 * 1X,'RHOF = ',g16.8,' LB/FT3 ',g16.8,' g/CM3
C-83

 + (Fluid Density)'/

 * 1X,'RHOG = ',g16.8,' LB/FT3 ',g16.8,' g/CM3

 + (Gas Density)'/

 * 1X,'RHOIN = ',g16.8,' LB/FT3 ',g16.8,' g/CM3

 + (Inlet Density)'/

 5 1X,'TSAT = ',g16.8,' Degrees F ',g16.8,' K

 + (Saturation Temperature)'/

 2 1X,'VISCF = ',g16.8,' LB/(FT HR) ',g16.8,' MPa s

 + (Fluid Viscosity)'/

 3 1X,'VISCG = ',g16.8,' LB/(FT HR) ',g16.8,' MPa s

 + (Gas Viscosity)'/

3 1X,'VISCIN =',g16.8,' LB/(FT HR) ',g16.8,' MPa s

 + (Inlet Viscosity)'/

3 1X,'VISCFG =',g16.8,' LB/(FT HR) ',g16.8,' MPa s

 + (Viscosity of Two-Phase Flow)'/

 * 1X,'NUF = ',g16.8,' FT3/LB ',g16.8,' CM3/g

 + (Fluid Specific Volume)'/

 * 1X,'NUG = ',g16.8,' FT3/LB ',g16.8,' CM3/g

 + (Gas Specific Volume)'/

 * 1X,'NUIN = ',g16.8,' FT3/LB ',g16.8,' CM3/g

 + (Inlet Specific Volume)'/

 * 1X,'NUFG = ',g16.8,' FT3/LB ',g16.8,' CM3/g

 + (Specific Volume of Two-Phase Flow)'/)

110 format('TSAT = ',g16.8,' Degrees F ',g16.8,' K 

 + (Saturation Temperature)')

end

!c******************************************************************************

!C STEAM TABLE ROUTINES FOR PWRDNB

!C

 FUNCTION GRS (X,NDX,Y,NDY,XV,N,NRANGE)

!C

 DIMENSION X(NDX,3), Y(NDY,3), DX(3), DY(3), YP(2)

 NRANGE=0

 IF (XV.LT.X(1,1)) NRANGE=-1

 IF (XV.GT.X(1,N)) NRANGE=+1

 DO 1 I=1,N

 IF (XV-X(1,I)) 2,8,1

1 CONTINUE

 I=N

2 IF (I.GT.2) GO TO 3

 N1=3

 N2=2

 N3=1

 NP=3

 GO TO 6

3 IF (I.LT.N) GO TO 4

 NP=3

 GO TO 5

4 NP=4

 N4=I+1

5 N1=I-2

 N2=I-1

 N3=I

6 DX(1)=X(1,N2)-X(1,N1)

 DY(1)=Y(1,N2)-Y(1,N1)
C-84

 DX(2)=X(1,N3)-X(1,N2)

 DY(2)=Y(1,N3)-Y(1,N2)

 R=(XV-X(1,N2))/DX(2)

 YP(1)=(DY(1)*DX(2)**2+DY(2)*DX(1)**2)/(DX(1)*(DX(1)+DX(2)))

 IF (NP.EQ.4) GO TO 7

 GRS=Y(1,N2)+R*(YP(1)+R*(DY(2)-YP(1)))

 GO TO 9

7 DX(3)=X(1,N4)-X(1,N3)

 DY(3)=Y(1,N4)-Y(1,N3)

 YP(2)=(DY(2)*DX(3)**2+DY(3)*DX(2)**2)/(DX(3)*(DX(2)+DX(3)))

 GRS=Y(1,N2)+R*(YP(1)+R*(3.*DY(2)-2.*YP(1)-YP(2)+R*(YP(1)+YP(2)-2.*

 1DY(2))))

 GO TO 9

8 GRS=Y(1,I)

9 RETURN

 END

!C

 FUNCTION HCL (P,T,S)

!C

 IF (P.GT.16000.) GO TO 1

 HCL=HCSL(P,T,DUM,S,4)

 RETURN

1 CALL STER ('HCL',12,P,T)

 RETURN

 END

!C

 FUNCTION HCSL (P,T,V,S,IGO)

!C

!C 9.1 SUB-REGION 1

!C ENTERED FROM HSL,SSL,VSL,HCL,VCL WHEN IGO =1,2,3,4,5 REPECTIVELY

!C CALLED DIRECTLY WHEN IGO=6

 DOUBLE PRECISION A,SA,THETA,BETA,X,R,B2,B3,

 1 Q1,Q2,Y,Z,Z1,R1,R2,R3,YPRI,SUM

 DIMENSION THETA(16), A(23), SA(12)

 DATA (A(I),I=1,23) / 6.824687741D3,-5.422063673D2,

 1 -2.096666205D4,3.941286787D4,-6.733277739D4,

 2 9.902381028D4,-1.093911774D5,8.590841667D4,

 3 -4.511168742D4,1.418138926D4,-2.017271113D3,7.982692717D0,

 4 -2.616571843D-2,1.522411790D-3,2.284279054D-2,2.421647003D2,

 = 1.269716088D-10,2.074838328D-7,2.174020350D-8,

 5 1.105710498D-9,1.293441934D1,1.308119072D-5,

 6 6.047626338D-14 /

 DATA (SA(I),I=1,12) / .8438375405D0,5.362162162D-4,

 1 1.72D0,.07342278489D0,.0497585887D0,.65371543D0,

 2 1.15D-6,1.5108D-5,.14188D0,

 3 7.002753165D0,2.995284926D-4,.204D00 /

 IF (T.GT.705.47) GO TO 13

 IF (T.GT.662.0) GO TO 10

!C THETA =((T-32.0)/1.8+273.15)/647.3

 THETA(1)=8.582659595D-4*T+0.3945191136D0

 BETA=P/3208.234759D0

!C X AND R ARE BOTH USED

 X=SA(6)-THETA(1)

 R = 0.0D0

 IF (DABS(X) .GT. 4.82D-5) R = X**9

!C THIS DO LOOP GIVES THETA**2 THRU THETA**11
C-85

 DO 1 I=2,11

1 THETA(I)=THETA(I-1)*THETA(1)

!C THETA(12)=THETA**17

 THETA(12)=THETA(8)*THETA(9)

!C THIS DO LOOP GIVES THETA**18 THRU THETA**21

 DO 2 I=13,16

2 THETA(I)=THETA(I-1)*THETA(1)

 B2=BETA**2

 B3=B2*BETA

 Q2=(SA(10)+BETA)**4

 Q1=(SA(10)+BETA)/Q2

 Y=1.-SA(1)*THETA(2)-SA(2)/THETA(6)

 Z=Y+DSQRT(SA(3)*Y**2-2.D0*(SA(4)*THETA(1)-SA(5)*BETA))

!C Z1=Z**(5./17.)

 Z1=Z**.2941176471

 R1=SA(7)+THETA(14)

 R2=SA(8)+THETA(11)

 R3=(((A(20)*BETA+A(19))*BETA+A(18))*BETA)/R2**2

 YPRI=-2.D0*SA(1)*THETA(1)+6.D0*SA(2)/THETA(7)

 GO TO (8,5,3,5,3,3), IGO

!C SUBREGION 1 REDUCED VOLUME SUBSCRIPT OF A IS ONE MORE

!C THAN REPORT SUBSCRIPT NUMBER

3 V=(A(12)*SA(5)/Z1+A(13)+A(14)*THETA(1)+A(15)*THETA(2)

 1 +A(16)*R*X+A(17)/R1-(A(18)+2.D0*A(19)*BETA+3.D0*

 2 A(20)*B2)/R2)*5.077852889D-2

 IF (T.LE.382.) GO TO 4

 V=V+(-A(21)*THETA(13)*(SA(9)+THETA(2))*(-3.D0/Q2+

 1 SA(11))+3.D0*A(22)*(SA(12)-THETA(1))*B2+4.D0*A(23)/

 2 THETA(15)*B3)*5.077852889D-2

!C SUBREGION 1 REDUCED ENTROPY

4 GO TO (11,11,12,11,12,5), IGO

5 SUM=A(3)

 DO 6 I=1,8

6 SUM=SUM+FLOAT(I+1)*A(I+3)*THETA(I)

 S=(1.583237108D-6+A(1)*DLOG(THETA(1))-SUM+A(12)

 1 /Z1*((0.4166666667D0*Z-0.72D0*Y)*YPRI+SA(4))+BETA*(

 2 -A(14)-2.D0*A(15)*THETA(1)+10.D0*A(16)*R+19.D0*A(17)

 3 /R1**2*THETA(13))-11.D0*THETA(10)*R3)*2.587358228D-2

 IF (T.LE.382.) GO TO 7

 S=S+(A(21)*THETA(12)*(18.D0*SA(9)+20.D0*THETA(2))

 1 *(Q1+SA(11)*BETA)+B3*(A(22)+20.D0*A(23)/THETA(16)*BETA))

 2 *2.587358228D-2

!C SUBREGION 1 REDUCED ENTHALPY

7 GO TO (11,12,11,8,11,8), IGO

8 SUM=-A(2)

!C SECOND TERM OMITTED SINCE IT =0

 DO 9 I=2,9

9 SUM=SUM+DBLE(I-1)*A(I+2)*THETA(I)

 HCSL=(2.156561703D-7+A(1)*THETA(1)-SUM+A(12)/Z1

 1 *(Z*(0.5862068965D0*Z-1.416666667D0*Y+0.4166666667D0

 2 *THETA(1)*YPRI)+SA(4)*THETA(1)-0.72D0*THETA(1)*Y*YPRI)

 3 +BETA*(A(13)-A(15)*THETA(2)+A(16)*(9.D0*

 4 THETA(1)+SA(6))*R+A(17)*(20.D0*THETA(14)+SA(7))

 5 /R1**2)-(12.D0*THETA(11)+SA(8))*R3)*30.14634566D0

 IF (T.LE.382.) RETURN

 HCSL=HCSL+(A(21)*THETA(13)*(17.D0*SA(9)+19.D0
C-86

 1 *THETA(2))*(Q1+SA(11)*BETA)+(A(22)*SA(12)+21.D0*A(23)

 2 /THETA(15)*BETA)*B2)*30.14634566D0

 RETURN

10 HCSL=HCSLV1(P,T,V,S,IGO)

 RETURN

11 PRINT 14, IGO

 STOP

12 RETURN

13 CALL STER ('HCSL',2,T,0.)

!C

14 FORMAT (10X,28HWRONG STATEMENT IN HCSL,IGO=,I3)

!C

 RETURN

 END

!C

 SUBROUTINE STER (NAME,I,A,B)

!C

!C STER IS A ROUTINE FOR PRINTING ERROR MESSAGES ASSOCIATED

!C WITH THE STEAM TABLES.

!C NAME IS THE BCD NAME OF THE CALLING ROUTINE.

!C I POSITIVE PRINTS -OUT OF RANGE-

!C I NEGATIVE PRINTS -NON CONVERGENT-

!C IF I IS ONE DIGIT ITS CORRESPONDING ARGUMENT A IS PRINTED.

!C IF I IS TWO DIGITS ITS TWO CORR. ARGUMENTS A AND B ARE PRINTED.

 CHARACTER*(*) NAME

 CHARACTER*5 M(8), MA(5) ,MP

 DATA (M(I),I=1,8)/

 1 ' OUT ','OF RA','NGE I','N ',

 2 ' NON ','CONVE','RGENT',' IN ' /

 DATA (MA(I),I=1,5)/'PRES=','TEMP=','ENTH=','VOL =','ENTR=' /

 IM=1

 IF (I.LT.0) IM=5

 I2=IABS(I)

 I1=I2/10

 I2=I2-I1*10

 MP=MA(I2)

 IF (I1.NE.0) MP=MA(I1)

 L = 1

 DO 9900 III=1,5

 IF (ICHAR(NAME(III:III)) .EQ. 0) GO TO 9901

 L = III

9900 CONTINUE

9901 CONTINUE

 PRINT 2,M(IM),M(IM+1),M(IM+2),M(IM+3),NAME(1:L),MP,A

 IF (I1.EQ.0) GO TO 1

 PRINT 3,MA(I2),B

1 STOP

2 FORMAT (1X,4A5,A,2X,A5,E13.6)

3 FORMAT (27X,A5,E13.6)

 END

!C

 FUNCTION HSL (T)

!C

 DIMENSION XG(3)

 COMMON /COHSL/ XG

 XG(1)=HCSL(PSL(T),T,XG(3),XG(2),1)
C-87

 HSL=XG(1)

 RETURN

 END

!C

 FUNCTION HSS (P,T,S,V)

!C

 ICNT=4

 JKL=0

 HSS=HSSFCT(P,T,S,V,ICNT,JKL)

 RETURN

 END

!C

 FUNCTION HSV (P,T,S,V)

!C

 IF (P.GT.3208.234765) GO TO 1

 T=TSL(P)

 HSV=HSS(P,T,S,V)

 RETURN

1 CALL STER ('HSV',1,P,0.)

 RETURN

 END

!C

 FUNCTION PSL (T)

!C

 COMMON /NUST/ TCORE,SCORE,VCORE,DPDT

 J=1

 PSL=PSLFCT(T,J)

 RETURN

 END

!C

 FUNCTION TSL (PIN)

!C

 COMMON /NUST/ TCORE,SCORE,VCORE,DPDT

 K=1

 TSL=TSLFCT(PIN,K)

 RETURN

 END

!C

 FUNCTION VCL (P,T)

!C

!C IF (T .GT. TSL(P)) CALL STER('VCL',12,P,T)

 DUM=HCSL(P,T,VVV,DUM,5)

 VCL = VVV

 RETURN

 END

!C

 FUNCTION VISL (P,T)

!C

 DENS=VCL(P,T)

 VISL=VISLFC(P,T,DENS)

 RETURN

 END

!C

 FUNCTION VISLFC(P,T,DENS)

!C

 DIMENSION B(3),C0(5),C1(8),C2(10)
C-88

 DATA (B(I),I=1,3) / 1.021E2,6.765E2,3.53E2 /

 DATA (C0(I),I=1,5) / 7.5213978E1,-1.1879721E3,6.6840006E3,

 = -1.5488609E4,1.1802979E4 /

 DATA (C1(I),I=1,8) / -4.1416918E1,9.1177974E2,-8.2709230E3,

 = 3.9905545E4,-1.0974987E5,1.6919860E5,-1.3050794E5,3.6396424E4 /

 DATA (C2(I),I=1,10) / -1.1651331E-1,1.1075709E1,-1.7932076E2,

 = 1.1112731E3,-2.0826382E3,-8.1306942E3,5.0618906E4,-1.0609301E5,

 = 9.8673349E4,-3.1905419E4 /

1 TAU=(T-32.)/180.

 DENS=0.0160184634/DENS

 U1=0.

 DO 2 I=1,3

2 U1=(U1+B(I))*DENS

!C TAU10=TAU**10

!C C3T=1.0+5.739225024E-32*TAU10*TAU10*TAU10*TAU10*TAU10*TAU**5

 C3T=1.0

 IF(TAU .GT. 0.73) C3T=C3T+(TAU/3.698459353)**55

 C1T=C1(1)

 DO 3 I=2,8

3 C1T=C1T*TAU+C1(I)

 C0T=C0(1)

 DO 4 I=2,5

4 C0T=C0T*TAU+C0(I)

 C2T=C2(01)

 DO 5 I=2,10

5 C2T=C2T*TAU+C2(I)

 U1=U1+80.4+40.7*TAU+(-0.8+DENS*((C2T*DENS+C1T)*DENS+C0T))/C3T

 VISLFC=0.671968975E-7*U1

 RETURN

 END

!C

 FUNCTION VISV(P,T)

!C

 C1T=HSS(P,T,C2T,DENS)

 VISV=VISLFC(P,T,DENS)

 RETURN

 END

!C

 FUNCTION VSL(T)

!C

 COMMON /COHSL/ XG(3)

 XG(1)=HCSL(PSL(T),T,XG(3),XG(2),3)

 VSL=XG(3)

 RETURN

 END

!C

 FUNCTION HCSLV1 (P,T,V,S,IGO)

!C

!C ENTERED FROM HSL,SSL,VSL,HCL,VCL WHEN IGO =1,2,3,4,5 REPECTIVELY

!C CALLED DIRECTLY WHEN IGO=6

 DIMENSION VTRY(3)

!C SUB-REGION 3 AND 4

 INT=1

!C REMOVE CALC. FOR PB AND TC WHEN VLIQ IS MADE PART OF PROG.

 PB=P/14.503773773

 TC=(T-32.0)/1.8
C-89

!C V FROM VLIQ IS IN CC/GM

 VTRY(1)=VLIQ(PB,TC,VMIN,VMAX)

 VMAX=3.17

 TOL=1.0E-7

 IF (P .GE. 2300.) TOL = 1.5E-7

 HCSLV1=HCSFCT(P,T,V,S,IGO,INT,PB,TC,VTRY,VMIN,VMAX,TOL)

 RETURN

 END

!C

 FUNCTION HSSFCT(P,T,S,V,ICNT,JKL)

!C

 DIMENSION IZ1(5,3),IZ6(3,2),Q(6),

 1 Z(4),IX6(3,2),B0(6),B1(3,5),B6(2,3),B9(7),

 2 SB6(2,3),AA(10)

 REAL*8 BETA,THETA,BL,Q,Z,B0,B1,B6,

 1 B9,SB6,AA,SB,XYZ,X,BT,BETAI,V1,S1,H1,V2,S2,H2,

 2 V3,S3,H3

 DATA (AA(I),I=1,10) / 290.69767D0,-1160.2D0,1214.5749D0,

 1 -8311.8D0,179.6814D0,-666.2D0,249.4970D0,

 2 -1220.4D0,676.7607D0,-5142.6D0 /

 DATA (B0(I),I=1,6) / .08565182058D0,-.6547711697D0,

 1 .4330662834D0,-54.38923329D0,28.56067796D0,16.83599274D0 /

 DATA B1 / .06670375918D0,1.388983801D0,0.D0,.08390104328D0,

 1 .02614670893D0,-.03373439453D0,.4520918904D0,

 2 .1069036614D0,0.D0,-.5975336707D0,

 3 -.08847535804D0,0.D0,.5958051609D0,

 4 -.5159303373D0,.2075021122D0 /

 DATA B6 / .1190610271D0,-.09867174132D0,.1683998803D0,

 1 -.05809438001D0,6.552390126D-3,5.710218649D-4 /

 DATA (B9(I),I=1,7) / 523.5718623D0,-2693.088365D0,

 1 5745.984054D0,-6508.211677D0,4126.607219D0,

 2 -1388.522425D0,193.6587558D0 /

 DATA SB / .7633333333D0 /

 DATA SB6 /.4006073948D0,0.D0,.08636081627D0,

 1 0.D0,-.8532322921D0,.3460208861D0/

 DATA IZ1 / 13,18,18,25,32,3,2,10,14,28,0,1,0,0,24 /

 DATA IZ6 /12,24,24,11,18,14/

 DATA IX6 /14,19,54,0,0,27/

1 BETA=P/3208.234759D0

 THETA=8.582659595D-4*T+0.3945191136D0

 BL=P23T(T)/3208.234759D0

 IF (BETA.GT.BL) GO TO 13

 XYZ=ALOG(P)

 X=DEXP(SB*(1.D0-THETA))

 BT=SB*THETA

 V1=0.D0

 S1=0.D0

 H1=0.D0

 DO 3 I=1,5

 DO 2 J=1,3

 Q(J)=B1(J,I)*X**IZ1(I,J)

2 Z(J)=DBLE(IZ1(I,J))

 BETAI=BETA**I

 V1=V1+DBLE(I)*(BETAI/BETA)*(Q(1)+Q(2)+Q(3))

 IF (JKL.EQ.1) GO TO 3

 S1=S1+BETAI*(Z(1)*Q(1)+Z(2)*Q(2)+Z(3)*Q(3))
C-90

 H1=H1+BETAI*((1.D0+Z(1)*BT)*Q(1)+(1.D0+Z(2)*BT)*Q(2)+(1.D0+Z(3)*

 1 BT)*Q(3))

3 CONTINUE

 V2=0.D0

 S2=0.D0

 H2=0.D0

 V3=0.D0

 S3=0.D0

 H3=0.D0

 IF (P.LE.200.) GO TO 10

 K=1

 IF (P.LE.2300.) GO TO 4

 K=3

 IF (P.GE.3500.) GO TO 5

4 TMIN=AA(K)*XYZ+AA(K+1)

 IF (T.GE.TMIN) GO TO 10

5 DO 7 I=1,3

 DO 6 J=1,2

 Q(J)=B6(J,I)*X**IZ6(I,J)

 Z(J)=DBLE(IZ6(I,J))

 Q(J+2)=SB6(J,I)*X**IX6(I,J)

6 Z(J+2)=DBLE(IX6(I,J))

 BETAI=BETA**(-3-I)

 Q(5)=BETAI+Q(3)+Q(4)

 V2=V2+(DBLE(I+3)*BETAI/BETA*(Q(1)+Q(2)))/Q(5)**2

 IF (JKL.EQ.1) GO TO 7

 Q(6)=(Z(3)*Q(3)+Z(4)*Q(4))/Q(5)

 S2=S2+(Q(1)*(Z(1)-Q(6))+Q(2)*(Z(2)-Q(6)))/Q(5)

 H2=H2+(Q(1)*((1.D0+Z(1)*BT)-BT*Q(6))+Q(2)*((1.D0+Z(2)*BT)-BT*

 1Q(6)))/Q(5)

7 CONTINUE

 IF (P.LE.1000.) GO TO 10

 K=5

 IF (P.LE.2800.) GO TO 8

 K=7

 IF (P.GT.9700.) K=9

8 TMIN=AA(K)*XYZ+AA(K+1)

 IF (T.GE.TMIN) GO TO 10

 Q(1)=(386.2761414D0*THETA-341.7061978D0)/BL

 DO 9 I=1,7

 V3=V3*X+B9(I)

 IF (JKL.EQ.1) GO TO 9

 Q(2)=Q(1)+DBLE(7-I)*SB

 S3=S3*X+Q(2)*B9(I)

 H3=H3*X+(1.D0+THETA*Q(2))*B9(I)

9 CONTINUE

 Q(1)=(BETA/BL)**10

10 V=(4.260321148D0*THETA/BETA-V1-V2+11.D0*Q(1)*V3)*.05077852889D0

 Q(2)=0.D0

 Q(3)=3.D0*B0(1)

 DO 11 I=1,4

 Q(2)=Q(2)*THETA+DBLE(5-I)*B0(I)

11 Q(3)=Q(3)*THETA+DBLE(3-I)*B0(I+1)

 S=(1.583237108D-6-4.260321148D0*DLOG(BETA)+B0(6)*

 1 DLOG(THETA)-Q(2)-SB*S1-SB*S2+BETA*Q(1)*S3)*.02587358228D0

 HSSFCT=(2.156561703D-7+B0(6)*THETA-Q(3)-H1-H2+BETA*Q(1)*H3)
C-91

 1 *30.14634566D0

12 RETURN

13 CONTINUE

 HSSFCT=HCSLV2(P,T,V,S,ICNT)

 RETURN

 END

!C

 FUNCTION PSLFCT(T,J)

!C

 DIMENSION AK(9)

 COMMON /NUST/ TCORE,SCORE,VCORE,DPDT

 DATA AK/-7.691234564,-26.08023696,-168.1706546,64.23285504,

 1-118.9646225,4.167117320,20.97506760,1.0E9,6./

 DATA AK2T2,AK3T3/-5.21604739E1,-5.04511964E2/

 DATA AK4T4,AK5T5/+2.56931420E2,-5.94823113E2/

 DATA AK7T2,AK8T2/+4.19501352E+1,+2.0E+9/

1 IF (T.GT.705.47) GO TO 3

!C THETA =((T-32.0)/1.8+273.15)/647.3

 THETA=(T+459.67)/1165.14

 X=1.-THETA

 Y=0.

 DO 2 I=1,5

 M6I=6-I

2 Y=(Y+AK(M6I))*X

!C THE K FUNCTION (SATURATION LINE) PAGE 12 PAR. 5

 DEN1=1.+X*(AK(6)+AK(7)*X)

 DEN2=AK(8)*X*X+AK(9)

 PSLFCT=EXP(Y/THETA/DEN1-X/DEN2)*3208.234759

 IF (J.NE.2) RETURN

 DSDT=-(AK(1)+X*(AK2T2+X*(AK3T3+X*(AK4T4+AK5T5*X))))

 B=THETA*DEN1

 DBDT=DEN1-THETA*(AK(6)+AK7T2*X)

 DBBDT=-AK8T2*X

 DPDT=(PSLFCT/1165.14)*(((B*DSDT-Y*DBDT)/(B*B))

 1+((DEN2+X*DBBDT)/(DEN2*DEN2)))

 RETURN

3 CALL STER ('PSL',2,T,0.)

 RETURN

 END

!C

 FUNCTION TSLFCT(PIN,K)

!C

 COMMON /NUST/ TCORE,SCORE,VCORE,DPDT

 REAL*8 B(12),DPIN,F,TX,TY,TZ,W,Y,DP,PR,PA,TOL

 DATA (B(I),I=1,12) /

 1 1.52264682686D0,-.682309517937D0,.164114951728D0,

 + -2.02321648831D-3,

 1 -1.92391110748D-3,-5.74549418696D-4,6.84115542402D-5,

 + 3.36500068426D-5,

 2 -1.23422483951D-5,1.48265501702D-6,-1.02116445578D-6,

 + -4.09080904092D-6 /

 DPIN = PIN

 I=1

 TOL=1.D-4

 IF (K.EQ.2) TOL=1.D-6

 F=1.D0
C-92

 IF (DPIN.GT.3208.234765D0) GO TO 7

 TSLFCT=705.47

 IF (DPIN.GE.3208.2347D0) GO TO 3

 I=-1 

 TX=1.D0

 TY=(DLOG(3529.058235D0/DPIN)**0.4-1.48047125D0)/(-1.089944005D0)

 Y=2.*TY

 W=B(1)+TY*B(2)

 DO 2 N=3,12

 TZ=Y*TY-TX

 W=W+TZ*B(N)

 TX=TY

 TY=TZ

2 CONTINUE

 TSLFCT=1165.14/W-459.67

3 TY=.01

 I=1

 IF (TSLFCT.GT.705.47) TSLFCT=705.47

4 PA=PSL1(TSLFCT)

 DP=DPIN-PA

 PR=DP/DPIN

 TSLFCT=TSLFCT+F*DP/DPDT

 IF (ABS(PR) .LT. TOL) RETURN

5 IF (I.GT.29) RETURN

 I=I+1

 F=F*0.99D0

 IF (TSLFCT .LT. 705.47) GO TO 4

6 TY=0.9*TY

 TSLFCT=TSLFCT-TY

 GO TO 4

7 CALL STER ('TSL',I,PIN,0.)

8 RETURN

 END

!C

 FUNCTION P23T (TIN)

!C

!C ARGUMENT IS TEMPERATURE

!C RETURNS WITH PRESSURE

!C BOUNDARY BETWEEN REGIONS 2 AND 3

 T=TIN

 P23T=0.

 IF (T.LT.32.) RETURN

 IF (T.GT.1600.) CALL STER ('P23T',2,T,0.)

 THETA=(T+459.67)/1165.14

 P23T=(1.574373327E1+THETA*(-3.417061978E1+THETA*1.931380707E1))*

 1 3208.234759

 RETURN

 END

!C

 FUNCTION HCSFCT(P,T,V,S,IGO,INT,PB,TC,VTRY,VMIN,VMAX,TOL)

!C

 DIMENSION VTRY(*)

 DIMENSION SUM(16),THETA(10),Q(9),X(9),C0(12),

 1 C1(10),C2(10),C3(10),C6(9),C7(9),PCT(3),Y(5),

 2 D3(5),D4(5)

 REAL*8 BR,P1,V1,C0,C1,C2,C3,C6,C7,D3,D4,C41,C50,D50,D51,D52,
C-93

 + G,R,DP,B,SUM,SUM1,SUM2,SUM3,THETA,Q,X,Y,PCT,PCTP,DF,VTRY2(3),

 + VPREV,PPREV

 DATA C40 / 2.759717760D-6 /

 DATA (C0(I),I=1,12) / -.017226042D0,-7.77175039D0,4.20460752D0,

 = -2.76807038D0,2.10419707D0,-1.14649588D0,.223138085D0,

 + .116250363D0,

 = -.0820900544D0,.0194129239D0,-1.694705760D-3,-4.311577033D0 /

 DATA (C1(I),I=1,10) / .708636085D0,12.3679455D0,-12.0389004D0,

 = 5.40437422D0,-.993865043D0,.0627523182D0,0.D0,0.D0,0.D0,

 + -7.74743016D0 /

 DATA (C2(I),I=1,10) / -4.29885092D0,43.1430538D0,-14.1619313D0,

 = 4.04172459D0,1.55546326D0,-1.66568935D0,.324881158D0,0.D0,0.D0,

 + 29.3655325D0 /

 DATA (C3(I),I=1,10) / 7.948418420D-6,80.8859747D0,-83.615338D0,

 = 35.8636517D0,7.51895954D0,-12.616064D0,1.09717462D0,2.12145492D0,

 = -.546529566D0,8.32875413D0 /

 DATA (C6(I),I=1,9) / .05528935335D0,-.2336365955D0,.369707142D0,

 = -.259641547D0,.06828087013D0,0.D0,0.D0,0.D0,0.D0 /

 DATA (C7(I),I=1,9) / -257.1600553D0,-151.8783715D0,22.20723208D0,

 = -180.203957D0,2357.09622D0,-1.462335698D4,4.542916630D4,

 + -7.053556432D4, 4.381571428D4 /

 DATA C41/ -5.090739850D-4 /

 DATA C50/ 2.106363320D2 /

 DATA (D3(I),I=1,5) / -1.717616747D0,3.526389875D0,-2.690899373D0,

 = .9070982605D0,-.1138791156D0 /

 DATA (D4(I),I=1,5) / 1.301023613D0,-2.642777743D0,1.996765362D0,

 = -.6661557013D0,.08270860589D0 /

 DATA D50 / 3.426663535D-4 /

 DATA D51/ -1.236521258D-3 /

 DATA D52/ 1.155018309D-3 /

 DATA G/ 80.409939D0 /

 DATA R/ 107.2132505D0 /

 VMAX2 = VMAX

 VMIN2 = VMIN

 DP = P

 DO 9000 I=1,3

9000 VTRY2(I) = VTRY(I)

1 K=1

 NT=1

 BETA=P/3208.234759D0

!C THETA =((T-32.0)/1.8+273.15)/647.3

 THETA(1)=8.582659595D-4*T+0.3945191136D0

 DF=0.25D0

 PCTP=0.D0

2 CONTINUE

 IF (VTRY2(1).LE.VMAX2) GO TO 3

 VTRY2(1)=VMAX2

 DF=1.D0

 GO TO 4

3 IF (VTRY2(1).GE.VMIN2) GO TO 4

 VTRY2(1)=VMIN2

 DF=1.D0

!C SET-UP FOR SUB-REGION 3 PARAGRAPH 9.3 FOR PRESSURE CALCULATION

4 X(1)=VTRY2(K)/3.17D0

 DO 5 I=1,16

5 SUM(I)=0.D0
C-94

 Q(1)=THETA(1)-1.D0

 DO 6 I=2,9

 Q(I)=Q(I-1)*Q(1)

 X(I)=X(I-1)*X(1)

 THETA(I)=THETA(I-1)*THETA(1)

 B=DBLE(1-I)/X(I)

 SUM(1)=SUM(1)+B*C0(I)

 SUM(2)=SUM(2)+B*C1(I)

 SUM(3)=SUM(3)+B*C2(I)

 SUM(4)=SUM(4)+B*C3(I)

6 SUM(5)=SUM(5)+C6(I-1)/THETA(I)

!C THE FOLLOWING ARE THE LAST TWO TERMS OF SUM(1)

 SUM(1)=SUM(1)-(9.D0*C0(10)/X(1)+10.D0*C0(11)/X(2))/X(9)

!C THE FOLLOWING ARE THETA**22 AND THETA**23

 THETA(8)=THETA(7)*THETA(7)*THETA(7)*THETA(1)

 THETA(9)=THETA(8)*THETA(1)

 THETA(10)=1.D0

!C SET-UP FOR SUB-REGION 4 PARAGRAPH 9.4

 IF (INT .EQ. 0) GO TO 9

7 Y(1)=(1.0D0-THETA(1))/3.730882125D-2

 SUM1=0.D0

 SUM2=3.0D0*D3(1)+4.0D0*D4(1)*Y(1)

 SUM3=D3(1)*(-2.0D0*Y(1)+G)+D4(1)*(-3.0D0*Y(1)+R)*Y(1)

 DO 8 I=2,5

 Y(I)=Y(I-1)*Y(1)

 SUM1=SUM1+(DBLE(I)-1.0D0)*(D3(I)+Y(1)*D4(I))/X(I)

 SUM2=SUM2+(3.0D0*D3(I)+4.0D0*D4(I)*Y(1))/X(I-1)

8 SUM3=SUM3+(D3(I)*(DBLE(I-3)*Y(1)+G)+D4(I)*(DBLE(I-4)*Y(1)+R)*

 1Y(1))/X(I-1)

 SUM1=SUM1*Y(3)

 SUM2=SUM2*Y(2)

 SUM3=SUM3*Y(2)

!C

!C ********* PATCH FOR IBM PC MACHINE RANGE **********

!C

!C Y(5) = DMAX1(Y(5),5.3D-52)**6

 Y(5) = Y(5)**6

 BR = SUM1

 HCSFCT = SUM3

 S = SUM2/3.73088212D-2

!C IF (Y(5) .LT. 1.0D-37) GO TO 10

!C

!C ********* END OF PATCH *********

!C

!C P FROM SUB-REGION 4 PARAGRAPH 9.4

 BR=SUM1-Y(5)*Y(2)*(D51+2.0D0*D52*X(1))

!C H FROM SUB-REGION 4 PARAGRAPH 9.4

 HCSFCT=SUM3-Y(5)*Y(1)*((31.D0*D50+32.D0*D51*X(1)+33.D0*D52*

 + X(2))*Y(1)-(D50+D51*X(1)+D52*X(2))*857.7060043D0)

!C S FROM SUB-REGION 4 PARAGRAPH 9.4

 S=(SUM2+32.D0*Y(5)*Y(1)*(D50+D51*X(1)+D52*X(2)))/3.730882125D-2

 GO TO 10

9 BR=0.D0

 S=0.

 HCSFCT=0.

!C P FROM SUB-REGION 3 PARAGRAPH 9.3
C-95

10 BR=(-C0(1)-SUM(1)-C0(12)/X(1)-(C1(1)+SUM(2)+C1(10)/X(1))*Q(1)-(

 1C2(1)+SUM(3)+C2(10)/X(1))*Q(2)-(C3(1)+SUM(4)+C3(10)/X(1))*Q(3)+

 + 5.D0*C41/X(6)*Q(1)/THETA(9)-6.D0*X(5)*SUM(5)+BR)*3208.234759D0

 PCT(K)=(BR-DP)/DP

 IF (DABS(PCT(K)).GT.TOL) GO TO 12

!C REPLACE THIS CONVERSION IF VLIQ IS CHANGED TO USE ENGRG. UNITS

 V=VTRY2(K)/62.4279605761D0

 SUM(10)=C7(1)

 SUM(16)=C7(1)

 DO 11 I=2,9

 SUM(6)=SUM(6)+C1(I)/X(I-1)

 SUM(7)=SUM(7)+C2(I)/X(I-1)

 SUM(8)=SUM(8)+C3(I)/X(I-1)

 SUM(9)=SUM(9)+DBLE(I)*C6(I-1)/THETA(I+1)

 SUM(10)=SUM(10)+DBLE(I)*C7(I)*Q(I-1)

 B=DBLE(I)

 SUM(11)=SUM(11)+B*C0(I)/X(I-1)

 SUM(12)=SUM(12)+(B-1.D0)*C1(I)/X(I-1)

 SUM(13)=SUM(13)+(B-2.D0)*C2(I)/X(I-1)

 SUM(14)=SUM(14)+(B-3.D0)*C3(I)/X(I-1)

 SUM(15)=SUM(15)+(B-5.D0)*C6(I-1)/THETA(I)

11 SUM(16)=SUM(16)+C7(I)*(1.D0+(B-1.D0)*THETA(1))*Q(I-1)

 SUM(11)=SUM(11)+(10.D0*C0(10)+11.D0*C0(11)/X(1))/X(9)

 GO TO (18,19,21,18,21,18), IGO

12 IF (NT.GT.1000) GO TO 20

 IF (NT.LT.2) GO TO 16

 IF (PCTP*PCT(1)) 14,14,13

13 IF (DABS(PCT(1)).GT.DABS(0.3D0*PCTP)) GO TO 15

14 DF=0.67D0*DF

 DV=(VTRY2(1)-VPREV)*(P-BR)/(BR-PPREV)

 GO TO 17

15 DF=1.5D0*DF

16 DV=VTRY2(1)*PCT(1)*DF

17 VPREV=VTRY2(1)

 PPREV=BR

 PCTP=PCT(1)

 VTRY2(1)=VTRY2(1)+DV

 NT=NT+1

 GO TO 2

!C H FROM SUB-REGION 3 PARAGRAPH 9.3

18 HCSFCT=(-213.164655D0-C1(1)*X(1)+SUM(11)-SUM(6)+(C0(12)-C1(10))*

 + DLOG(X(1))+Q(1)*(-C1(10)-C50-(C1(1)+2.D0*C2(1))*X(1)+SUM(12)-

 + 2.D0*(SUM(7)+C2(10)*DLOG(X(1))))+Q(2)*(-C2(10)-(2.D0*C2(1)+

 + 3.D0*C3(1))*X(1)+SUM(13)-3.D0*SUM(8)-(C2(10)+3.D0*C3(10))*

 + DLOG(X(1)))+Q(3)*(-3.D0*C3(1)*X(1)+SUM(14)-C3(10)*(1.D0+

 + 2.D0*DLOG(X(1))))+(C40*(23.D0-24.D0/THETA(1))-

 + C41*(-28.D0+29.D0/THETA(1))/X(5))/THETA(8)+X(6)*SUM(15)-SUM(16)+

 + HCSFCT)*30.14634566D0

 GO TO (21,21,21,19,21,19), IGO

!C S FROM SUB-REGION 3 PARAGRAPH 9.3

19 S=(1.583237108D-6-C1(1)*X(1)-SUM(6)-C1(10)*DLOG(X(1))-C50-

 + 2.D0*Q(1)*(C2(1)*X(1)+SUM(7)+C2(10)*DLOG(X(1)))-3.D0*Q(2)*

 + (C3(1)*X(1)+SUM(8)+C3(10)*DLOG(X(1)))+(C40+C41/X(5))*(22.D0-

 + 23.D0/THETA(1))/THETA(9)-C50

 + *DLOG(THETA(1))+X(6)*SUM(9)-SUM(10)+S)*2.587358228D-2

 GO TO 21
C-96

20 CALL STER ('HCSL1',-12,P,T)

21 DO 9001 I=1,3

9001 VTRY(I) = VTRY2(I)

 RETURN

 END

!C

 FUNCTION PSL1(T)

!C

 J=2

 PSL1=PSLFCT(T,J)

 RETURN

 END

!C

 FUNCTION VLIQ (PIN,TIN,VMIN,VMAX)

!C

 DIMENSION T(8), V(8), VT(30), PT(6), TT(6), VX(6)

 DATA (VT(I),I=1,30) / 1.568,1.612,1.661,1.717,1.803,1.864,1.480,

 = 1.504,1.535,1.567,1.598,1.628,1.424,1.443,1.462,1.487,1.512,

 = 1.529,1.349,1.362,1.374,1.393,1.416,1.420,1.30,1.312,1.324,1.336,

 = 1.354,1.376 /

 DATA (PT(I),I=1,6) / 0.,276.,414.,552.,828.,1000. /

 DATA (TT(I),I=1,6) / 348.89,354.45,360.,365.55,371.11,375. /

 DATA (T(I),I=1,8) / 350.,360.,370.,371.,372.,373.,374.,374.15 /

 DATA (V(I),I=1,8) / 1.741,1.894,2.22,2.29,2.38,2.51,2.80,3.17 /

!C 0 PIN MUST BE IN BARS AND TC IN DEGREES C

!C V WILL BE IN CC/GM

 PT(1)=(PSL(TIN*1.8+32.))/14.503773773

 VX(1)=GRS(T(1),1,V(1),1,TIN,8,I)

 DO 1 I=2,6

1 VX(I)=GRS(TT(1),1,VT(6*I-11),1,TIN,6,J)

 VLIQ=GRS(PT(1),1,VX(1),1,PIN,6,I)

 VMIN=.98*VX(6)

 VMAX=VX(1)*1.01

 RETURN

 END

!C

 FUNCTION HCSLV2(P,T,V,S,IGO)

!C

 DIMENSION VTRY(3)

 INT=0

!C V FROM VEST IS IN CC/GM

 PB = P/14.504

 TC = (T-32.0)/1.8

 CALL VEST (PB,TC,VTRY)

 VMAX=8.9

 VMIN=1.28

 TOL=5.0E-7

 IF (P .GE. 2300.) TOL = 1.5E-6

 HCSLV2=HCSFCT(P,T,V,S,IGO,INT,PB,TC,VTRY,VMIN,VMAX,TOL)

 RETURN

 END

!C

 SUBROUTINE VEST (PBARS,TC,VOUT)

!C

 REAL*8 A(10), B(11), P, T, S1, S2, S3

 DATA (A(I),I=1,10) / -1.1081080D1,3.2788736D-2,5.317674D-4,
C-97

 = -3.0184685D-8,7.8976204D1,-2.4914446D-1,1.9435772D-4,

 + -3.8913564D4,

 = 1.1542136D2,-8.4902827D-2 /

 DATA (B(I),I=1,11) / 2.7449451D1,-1.2338849D5,5.7668847D2,

 = -8.7256055D-1,3.4473356D-4,2.1473469D4,-1.5646970D2,2.0968062D-1,

 = -3.2079651D7,1.1201540D5,-9.7660051D1 /

 P=PBARS

 T=TC+273.15

 IF (TC .GT. 0.32*P+294.) GO TO 1

 S1=((A(10)*T+A(9))*T+A(8))*T

 S2=((A(7)*T+A(6))*T+A(5))*T

 S3=((A(4)*T-(A(3)*T)**18)*T+A(2))*T

 VOUT=(S1/P+S2)/P+S3+A(1)

 RETURN

1 S1=((B(11)*T+B(10))*T+B(9))*T

 S2=((B(8)*T+B(7))*T+B(6))*T

 S3=((B(5)*T+B(4))*T+B(3))*T+B(2)

 VOUT=((S1/P+S2)/P+S3)/P+B(1)

 RETURN

 END

 FUNCTION CPL(PF,TF)

!C

!C

!C SPECIFIC HEAT OF COMPRESSED LIQUID

!C AS A FUNCTION OF PRESSURE AND TEMPERATURE

!C C = F(P,T)

!C

!C CALLING SEQUENCE - C = CPL(P,T)

!C

!C C SPECIFIC HEAT IN BTU/LB.-DEGREES F. OUTPUT

!C P PRESSURE IN PSIA INPUT

!C T TEMPERATURE IN DEGREES F. INPUT

!C

!C

!C

 DIMENSION C(2)

 IND = 0

 T = TF

 P = PF

 IF (P .LT. 3208.234) THEN

 TSAT = TSL(P)

 ELSE

 TSAT = 705.47

 ENDIF

 H = 2.0

 IF (P .LT. 3000. .OR. P .GT. 4350.) GO TO 3

 IF (T .LT. 657. .OR. T .GT. 677.) GO TO 3

 T = 657.0

 DO 4 I=1,2

 C(I) = (HCL(P,T-2.*H,S)-HCL(P,T+2.*H,S)+

 1 8.*(HCL(P,T+H,S)-HCL(P,T-H,S)))/(12.*H)

 T = T+20.

4 CONTINUE

 CPL = C(1)+(TF-657.)*((C(2)-C(1))*0.05)

 RETURN
C-98

3 IF (P .GT. 4350. .AND. T .GT. 657.) GO TO 2

 H1=(TSAT-T)*0.5

 IF (H1 .LT. H) H=H1

 IF (H .GE. 0.125) GO TO 1

 H = 0.075

 T = TSAT-0.25

1 CONTINUE

 CPL = (HCL(P,T-2.*H,S)-HCL(P,T+2.*H,S)+

 1 8.*(HCL(P,T+H,S)-HCL(P,T-H,S)))/(12.*H)

 IF (IND .EQ. 0) RETURN

!can

!can Since CPV function makes trubles, it was ommited!

!can C1 = CPL

!can C2 = CPV(P,707.,S,V)

!can CPL = C1+(TF-657.)*((C2-C1)/50.)

 RETURN

2 IND = 1

 T = 657.

 GO TO 1

 END

 FUNCTION CPV(PF,TF,VF)

!CCC

!C

!C SPECIFIC HEAT AND SPECIFIC VOLUME OF SUPERHEATED STEAM

!C AS A FUNCTION OF PRESSURE AND TEMPERATURE

!C C,V(= F(P,T)

!C

!C CALLING SEQUENCE - C = CPV(P,T,V)

!C

!C C SPECIFIC HEAT IN BTU/LB.-DEGRESS F. OUTPUT

!C P PRESSURE IN PSIA INPUT

!C T TEMPERATURE IN DEGREES F. INPUT

!C V SPECIFIC VOLUME IN CUBIC FEET/LB. OUTPUT

!C

!C

 T=TF

 P = PF

 IF (P .LT. 3208.234) THEN

 TSAT = TSL(P)

 ELSE

 TSAT = 705.47

 ENDIF

 H = 2.

 H1 = (T-TSAT)*0.5

 IF (H1 .LT. H) H = H1

 IF (H .GE. 0.125) GO TO 1

 H = 0.075

 T = TSAT+0.25

1 CONTINUE

 CPV = (HSS(P,T-2.*H,S,V)-HSS(P,T+2.*H,S,V)+

 & 8.*(HSS(P,T+H,S,V1)-HSS(P,T-H,S,V2)))/(12.*H)

 VF = 0.5*(V1+V2)

 IF (H .LE. 2.) V1 = HSS(P,TF,S,VF)

 RETURN

 END

**************************************************************************************
C-99

Subroutine Void_Frac_Correlations

Use MainVar

implicit none

 integer count

double precision Viscratio, Xratio, Rhoratio, BB, n1, n2, n3, 

 +Homogen(50), Zivi(50), Wallis(50), LockMart(50), Cun_Yeh(50),

 +Thom(50), Baroczy(50), Vg, Vf, Rbcr, Vbcr

open (6, file = 'output.txt')

Gravity = 32.174

Gravitym = 9.807

count = 1

do while (Z(count) <= 12)

supfclvap(count) = (Mdotg(count)/(RHOG*Area))

supfclliq(count) = (Mdotf(count)/(RHOF*Area))

! vappt(count)= RHOG*(supfclvap(count)**2)

! liqpt(count)= RHOF*(supfclliq(count)**2)

count = count + 1

enddo

! Void Fraction Correlations Comparisons

Rhoratio = RHOG/RHOF

Viscratio = VISCF/VISCG

! write(6,*) 'Rbcr Vbcr Vg Vf'

count = 1

do while (Z(count) <= 12)

if (Quality(count) <= 0) then

Homogen(count) = 0.

Zivi(count) = 0.

Wallis(count) = 0.

LockMart(count) = 0.

Thom(count) = 0.

Baroczy(count) = 0.

Cun_Yeh(count) = 0.

Cun_Yeh_Mod(count) = 0.

else if (Quality(count) >= 1) then

Homogen(count) = 1.

Zivi(count) = 1.

Wallis(count) = 1.

LockMart(count) = 1.

Thom(count) = 1.

Baroczy(count) = 1.

Cun_Yeh(count) = 1.

Cun_Yeh_Mod(count) = 1.

else

Xratio = (1-Quality(count))/Quality(count)

BB = 1.

n1 = 1.

n2 = 1.

n3 = 0.

if (1+BB*(Xratio**n1)*(Rhoratio**n2)*(Viscratio**n3).eq.0.00) then

Homogen(count)=0.
C-100

else

Homogen(count) = (1+BB*(Xratio**n1)*(Rhoratio**n2)*

 +(Viscratio**n3))**(-1)

end if

BB = 1.

n1 = 1.

n2 = 0.67

n3 = 0.

if (1+BB*(Xratio**n1)*(Rhoratio**n2)*(Viscratio**n3).eq.0.00) then

Zivi(count)=0.

else

Zivi(count) = (1+BB*(Xratio**n1)*(Rhoratio**n2)*

 +(Viscratio**n3))**(-1)

 end if

BB = 1.

n1 = 0.72

n2 = 0.40

n3 = 0.08

if (1+BB*(Xratio**n1)*(Rhoratio**n2)*(Viscratio**n3).eq.0.00) then

Wallis(count)=0.

else

Wallis(count) = (1+BB*(Xratio**n1)*(Rhoratio**n2)*

 +(Viscratio**n3))**(-1)

end if

BB = 0.28

n1 = 0.64

n2 = 0.36

n3 = 0.07

if (1+BB*(Xratio**n1)*(Rhoratio**n2)*(Viscratio**n3).eq.0.00) then

LockMart(count)=0.

else

LockMart(count) = (1+BB*(Xratio**n1)*(Rhoratio**n2)*

 +(Viscratio**n3))**(-1)

end if

BB = 1.

n1 = 1.

n2 = 0.89

n3 = 0.18

if (1+BB*(Xratio**n1)*(Rhoratio**n2)*(Viscratio**n3).eq.0.00) then

Thom(count)=0.

else

Thom(count) = (1+BB*(Xratio**n1)*(Rhoratio**n2)*

 +(Viscratio**n3))**(-1)

end if

BB = 1.

n1 = 0.74

n2 = 0.65

n3 = 0.13

if (1+BB*(Xratio**n1)*(Rhoratio**n2)*(Viscratio**n3).eq.0.00) then

Baroczy(count)=0.

else

Baroczy(count) = (1+BB*(Xratio**n1)*(Rhoratio**n2)*

 +(Viscratio**n3))**(-1)

end if

BB = 0.925

Rbcr = ((1.53/(2./3.))**2)*((sigma/(Gravitym*RHOFM*1000))**0.5)
C-101

Vbcr = (2./3.)*((Gravitym*Rbcr)**0.5)

Vg = supfclvap(count)*0.3048

Vf = supfclliq(count)*0.3048

! write(6,10) Rbcr, Vbcr, Vg, Vf

if ((Vg/Vbcr).LE.1.0) then

Cun_Yeh(count)=0.925*(Rhoratio**0.239)*((Vg/Vbcr)**0.67)*

 +((Vg/(Vg+Vf))**0.6)

! else if ((Vg/Vbcr).GE.4.31) then

! Cun_Yeh(count)=1.035*(Rhoratio**0.239)*((Vg/Vbcr)**0.393)*

! +((Vg/(Vg+Vf))**0.6)

else

Cun_Yeh(count)=0.925*(Rhoratio**0.239)*((Vg/Vbcr)**0.47)*

 +((Vg/(Vg+Vf))**0.6)

end if

if (Cun_Yeh(count) > 1.0) then

Cun_Yeh(count) = 1.0

end if

if ((Vg/Vbcr).LE.1.0) then

Cun_Yeh_Mod(count)=0.925*(Rhoratio**0.239)*((Vg/Vbcr)**0.67)*

 +((Vg/(Vg+Vf))**0.6)

else if ((Vg/Vbcr).GE.4.31) then

Cun_Yeh_Mod(count)=1.035*(Rhoratio**0.239)*((Vg/Vbcr)**0.393)*

 +((Vg/(Vg+Vf))**0.6)

else

Cun_Yeh_Mod(count)=0.925*(Rhoratio**0.239)*((Vg/Vbcr)**0.47)*

 +((Vg/(Vg+Vf))**0.6)

end if

if (Cun_Yeh_Mod(count) > 1.0) then

Cun_Yeh_Mod(count) = 1.0

end if

end if

count = count + 1

end do

!

write(6,*) ' '

write(6,165)

165 format(/1X,'*************************

 + CALCULATED VOID FRACTION FOR VARIOUS VOID FRACTION CORRELATIONS

 + *************************')

count = 1

 write(6,170)

170 format(/1X,'Elev.',2X,'Homogenous_Void',2X,'Zivi_Void',2X,

 +'Wallis_Void',2X,'LockMart_Void',2X,'Thom_Void',2X,'Baroczy_Void',

 +2X,'CunYeh_Void',2X,'CunYehMod_Void')

 write(6,175)

175 format(' (FT.)')

do while (Z(count)<=12)

!

 write(6,180) Z(count),Homogen(count),Zivi(count),Wallis(count),

 +LockMart(count),Thom(count),Baroczy(count),Cun_Yeh(count),

 +Cun_Yeh_Mod(count)

180 format(1X,F5.2,4X,E10.4,4X,E10.4,3X,E10.4,3X,E10.4,3X,E10.4,3X,

 +E10.4,3X,E10.4,5X,E10.4)

count=count+1

end do
C-102

10 format(3X,E10.4,5X,E10.4,6X,E10.4,7X,E10.4)

end

**************************************************************************************

Subroutine DP_Cell_Orientation

Use MainVar

implicit none

integer count

count = 1

do while (count.NE.23)

PDropConv(count)=PDrop(count)*RHOSTP*Gravity/(12.*Gravity)

count = count + 1

end do

DPZ(1)=0./12.

DPZ(2)=13./12.

DPZ(3)=25./12.

DPZ(4)=37./12.

DPZ(5)=43./12.

DPZ(6)=46./12.

DPZ(7)=53./12.

DPZ(8)=57./12.

DPZ(9)=60./12.

DPZ(10)=63./12.

DPZ(11)=67./12.

DPZ(12)=72./12.

DPZ(13)=75./12.

DPZ(14)=78./12.

DPZ(15)=81./12.

DPZ(16)=85./12.

DPZ(17)=93./12.

DPZ(18)=97./12.

DPZ(19)=100./12.

DPZ(20)=108./12.

DPZ(21)=120./12.

DPZ(22)=133./12.

DPZ(23)=144./12.

DPAvg(1) = (DPZ(2)-DPZ(1))/2.

count = 2

do while (count.NE.23)

DPAvg(count) = DPZ(count) + (DPZ(count+1)-DPZ(count))/2

count = count + 1

end do

DPAvg(23) = DPZ(23)

count = 1

do while (count.NE.24)

if (DPZ(count)<=9) then

DPQuality(count)=0.0 + Powere/(Mdothr*HFG*Height)

 +*((DPZ(count)**2/18.+0.5*DPZ(count))-(Zsat**2/18.+0.5*Zsat))

else

DPQuality(count)=Quality(37) + Powere/(Mdothr*HFG*Height)

 +*((-(DPZ(count)**2)/6.+4.5*DPZ(count))-(-(9.**2)/6.+4.5*9.))

end if
C-103

if (DPQuality(count) < 0.0) then

DPQuality(count) = 0.0

else if (DPQuality(count) > 1.0) then

DPQuality(count) = 1.0

end if

if (count.GE.2) then

SpanAvgQuality(count-1)=(DPQuality(count-1)+DPQuality(count))/2.

end if

count = count + 1

end do

count = 1

do while (count.NE.23)

if (DPZ(count)<9.) then

PFactor(count)=((DPZ(count)+DPZ(count+1))*6)/108 + 0.5

else

PFactor(count)=(-(DPZ(count)+DPZ(count+1))*6)/36 + 4.5

end if

Span_Avg_Power(count) = PFactor(count)*Avg_Heat_Flux

count = count + 1

end do

end

**************************************************************************************

Subroutine Homogeneous

Use MainVar

implicit none

integer count

double precision nuavg

count = 1

do while (count.NE.23)

nuavg = (NUF + SpanAvgQuality(count)*NUFG)

if (SpanAvgQuality(count)==0.0) then

Hom_Fric_PDrop(count)=2*FFactor*Mass_Flux**2/(Diam*gravity)*

 +(DPZ(count+1)-DPZ(count))*nuavg

else

Hom_Fric_PDrop(count)=2*FFactor*Mass_Flux**2/(Diam*gravity)*

 +((DPZ(count+1)-DPZ(count))*nuavg + 2*Span_Avg_Power(count)*NUFG/

 +(Diam*Mass_Flux*HFG)*(DPZ(count+1)**2-DPZ(count)**2))

end if

count = count + 1

end do

end

**************************************************************************************

Subroutine Homogeneous_Two_Phase

Use MainVar

implicit none

integer count

double precision fo

fo = 16./(Mass_Flux*Diam*3600/VISCF)
C-104

count = 1

do while (count.NE.23)

Hom_Two_Phase_Mult(count) = (1. + 

 +(SpanAvgQuality(count)*NUFG/NUF))*

 +((1. + (SpanAvgQuality(count)*VISCFG/VISCG))**0.25)

count = count + 1

end do

count = 1

do while (count.NE.23)

Hom_TP_Fric_PDrop(count) = 2*fo*Mass_Flux**2*NUF/(Diam*gravity)*

 +(DPZ(count+1)-DPZ(count))*Hom_Two_Phase_Mult(count)

! write(*,*) Hom_TP_Fric_PDrop(count)

count = count + 1

end do

end

**************************************************************************************

Subroutine Friedel

Use MainVar

implicit none

integer count

double precision invrhobar,fgo,ffo

 fgo=0.079/((Mass_Flux*3600*Diam/VISCG)**0.25)

 ffo=0.079/((Mass_Flux*3600*Diam/VISCF)**0.25)

count = 1

do while (count.NE.23)

A1(count) = (1. - SpanAvgQuality(count))**2. + 

 +(SpanAvgQuality(count)**2.)*(RHOF/RHOG)*(fgo/ffo)

A2(count) = SpanAvgQuality(count)**0.78 * 

 +(1.-SpanAvgQuality(count))**0.224

A3(count) = (RHOF/RHOG)**0.91 * (VISCG/VISCF)**0.19 * 

 +(1. - VISCG/VISCF)**0.7

invrhobar = (NUF + SpanAvgQuality(count)*NUFG)

Fr(count) = Mass_Flux**2.*(invrhobar**2.)/(gravity*Diam)

We(count) = Mass_Flux**2.*Diam*invrhobar/(gravity*sigmae)

Frdl_Two_Phase_Mult(count)=A1(count)+3.24*A2(count)*A3(count)/

 +((Fr(count)**0.045)*(We(count)**0.035))

count = count + 1

end do

count = 1

do while (count.NE.23)

Frdl_Fric_PDrop(count)= 2*FFactor*NUF*(DPZ(count+1)-DPZ(count))*

 +Frdl_Two_Phase_Mult(count)*Mass_Flux**2/(Diam*gravity)
C-105

count = count + 1

end do

! open (6, file = 'output.txt')

! count = 1

! do while (count.NE.23)

! write(6,160) A1(count),A2(count),A3(count),

! +Fr(count),We(count)

!160 format(1X,E10.4,4X,E10.4,4X,E10.4,4X,E10.4,6X,E10.4)

! write(6,*) 

! count = count + 1

! enddo

end

**************************************************************************************

Subroutine Acceleration_Press_Drop

Use MainVar

implicit none

integer count

count = 1

do while (count.NE.23)

Accel_PDrop(count)=Mass_Flux**2*NUFG/gravity*

 +(DPQuality(count+1)-DPQuality(count))

! write (*,*) Accel_PDrop(count)

count = count + 1

end do

end

**************************************************************************************

Subroutine Corrected_Press_Drop

Use MainVar

implicit none

integer count

count = 1

do while (count.NE.23)

Corrected_PDrop_Hom(count)=PDropConv(count)-Hom_Fric_PDrop(count)-

 +Accel_PDrop(count)

ZCalc_Hom(count) = Corrected_PDrop_Hom(count)/RHOF

Alpha_Hom(count) = 1.-(ZCalc_Hom(count)/(DPZ(count+1)-DPZ(count)))

Corrected_PDrop_Hom_TP(count)=PDropConv(count)-Accel_PDrop(count)-

 +Hom_TP_Fric_PDrop(count)

ZCalc_Hom_TP(count) = Corrected_PDrop_Hom_TP(count)/RHOF

Alpha_Hom_TP(count) = 1. - ZCalc_Hom_TP(count)/(DPZ(count+1)-

 +DPZ(count))

Corrected_PDrop_Frdl(count)=PDropConv(count)-

 +Accel_PDrop(count)-Frdl_Fric_PDrop(count)

ZCalc_Frdl(count) = Corrected_PDrop_Frdl(count)/RHOF

Alpha_Frdl(count) = 1. - (ZCalc_Frdl(count)/(DPZ(count+1)-

 +DPZ(count)))

! write (*,*) Corrected_PDrop_Hom_Frdl(count)

count = count + 1

end do
C-106

Call Grid_Effects

count = 1

do while (count.NE.23)

Corrected_PDrop_Hom(count)= Corrected_PDrop_Hom(count) - 

 +ElevDP_Hom(count)

Corrected_PDrop_Hom_TP(count)=Corrected_PDrop_Hom_TP(count) - 

 +ElevDP_Hom_TP(count)

Corrected_PDrop_Frdl(count)=Corrected_PDrop_Frdl(count) - 

 +ElevDP_Frdl(count)

! write (*,*) Corrected_PDrop_Hom(count)

! write (*,*) Corrected_PDrop_Hom_TP(count)

! write (*,*) Corrected_PDrop_Frdl(count)

count = count + 1

end do

end

**************************************************************************************

Subroutine Interfacial_Drag

Use MainVar

implicit none

integer count

double precision ffo,Term1(25), Term2(25), Term3(25), Term4(25),

 +Term5(25), Term6(25)

 ffo=0.079/((Mass_Flux*3600*Diam/VISCF)**0.25)

!djm The various terms defined here are as follows:

! Term1 - The first term in equation 4.1 of Kelly's paper

! Term2 - The first term within the bracketed portion of eqn 4.1

! Term3 - The second term within the bracketed portion of eqn 4.1

! Term4 - Interfacial Drag Force per Unit Volume

! Term5 - Relative Velocity

! Term6 - Wall-Liquid Shear Force per Unit Volume times the void fraction

count = 1

do while (count.NE.23)

Term1(count)=(1-Alpha_Frdl(count))*Alpha_Frdl(count)*gravity*

 +(RHOF-RHOG)

Term2(count)=(1-Alpha_Frdl(count))*SpanAvgQuality(count)**2/

 +(Alpha_Frdl(count)*RHOG)

Term3(count)=Alpha_Frdl(count)*(1-SpanAvgQuality(count))**2/

 +((1-Alpha_Frdl(count))*RHOF)

Intrfcl_Drag(count)=(Term1(count)-Mass_Flux**2*

 +(1/(DPZ(count+1)-DPZ(count)))*(Term2(count)-Term3(count)))/gravity

Term5(count)=Mass_Flux*(SpanAvgQuality(count)/RHOG- 

 +(1-SpanAvgQuality(count))/RHOF)

Term6(count)=(Frdl_Two_Phase_Mult(count)*2.*ffo*Mass_Flux**2/
C-107

 +(Diam*RHOF)*Alpha_Frdl(count))/gravity

if (Alpha_Frdl(count).GE.0.80) then

Intrfcl_Drag(count)=Intrfcl_Drag(count)+Term6(count)

end if

if (SpanAvgQuality(count)==0) then

Intrfcl_Drag(count) = 0.0

Intrfcl(count)=0.0

else

Intrfcl(count)=gravity*Intrfcl_Drag(count)/

 +(Term5(count)**2*RHOF)

end if

count = count + 1

end do

count = 1

do while (count.NE.23)

! write (*,*) Drag(count)

count = count + 1

end do

end

**************************************************************************************

Subroutine Results

Use MainVar

implicit none

integer count

open (6, file = 'output.txt')

count=1

write(6,*) ' '

write(6,*) ' '

write(6,*) ' ******* Friction Term Pressure Drop

 + Corrections ******* '

 write(6,50)

50 format(/1X,'DP_Cell',4X,'Hom_Fric_DP',4X, 'Hom_Two-Phase_Fric_DP',

 +4X,'Freidel_Fric_DP',7X,'Accel_DP_Correction')

!

 write(6,55)

55 format(' (in.) ',4X,'(lbf/FT2) ',5X,' (lbf/FT2) ',

 +9X,' (lbf/FT2)',11X,' (lbf/FT2) ')

do while (count.NE.23)

!

write(6,60) DPAvg(count)*12., Hom_Fric_PDrop(count),

 +Hom_TP_Fric_PDrop(count),Frdl_Fric_PDrop(count),

 +Accel_PDrop(count)

60 format(1X,F7.2,4X,E10.4,10X,E10.4,12X,E10.4,15X,E10.4)

count=count+1

end do

count = 1

write(6,*) ' '
C-108

write(6,*) ' '

write(6,*) ' ******* Resulting Corrected Pressure Drop

 + Terms ******* '

 write(6,65)

65 format(/1X,'DP_Cell',6X,'Hom_DP',5X,'Hom_Two-Phase_DP',

 +5X,'Freidel_DP')

!

 write(6,70)

70 format(' (in.) ',4X,

 +'(lbf/FT2) ',3X,' (lbf/FT2) ',3X,' (lbf/FT2)')

do while (count.NE.23)

!

write(6,75) DPAvg(count)*12.,Corrected_PDrop_Hom(count),

 +Corrected_PDrop_Hom_TP(count),Corrected_PDrop_Frdl(count)

75 format(1X,F7.2,4X,E10.4,6X,E10.4,8X,E10.4)

count=count+1

end do

count = 1

write(6,*) ' '

write(6,*) ' '

write(6,*) ' ******* Calculated Void Fraction

 + ******* '

 write(6,80)

80 format(/1X,'DP_Cell',5X,'Homogeneous',4X,'Hom_Two-Phase',6X, 

 +'Freidel',8X,'Flow_Regime')

!

 write(6,85)

85 format(' (in.) ')

do while (count.NE.23)

!

write(6,90) DPAvg(count)*12., Alpha_Hom(count),

 +Alpha_Hom_TP(count),Alpha_Frdl(count),Flow_Char(count)

90 format(1X,F7.2,5X,E10.4,7X,E10.4,6X,E10.4,7X, A25)

count=count+1

end do

count=1

write(6,*) ' '

write(6,*) ' '

write(6,*) ' ******* Interfacial Drag Calculated

 + Results ******* '

 write(6,95)

95 format(/1X,'DP_Cell', 5X,' Int._Drag', 5X,

 +'fi*Ai/Volume')

!

 write(6,100)

100 format(' (in.) ',4X,'(lbf/(FT3)) ',5X,'(1/FT) ')

do while (count.NE.23)

!

write(6,105) DPAvg(count)*12.,Intrfcl_Drag(count), Intrfcl(count)

105 format(1X,F7.2,5X,E10.4,6X,E10.4)

count=count+1

end do

end




NUREG/CR-7218

Volume 2

Rod Bundle Heat Transfer Facility Two-Phase Mixture Level Swell and Uncovery 

Test Experiments Data Report