NUREG/IA-0009

Intemablonal P Agreement Report

Assessment of RELAP5/MOD2

Against 25 Dryout Experiments

Conducted at the Royal Institute

of Technology

Prepared by

A. Sjoberg, D. Caraher

Swedish Nuclear Power Inspectorate

S-102 52 Stockholm, Sweden

Office of Nuclear Regulatory Research

U.S. Nuclear Regulatory Commission

Washington, DC 20555

October 1986

Prepared as part of

The Agreement on Research Participation and Technical Exchange

under the International Thermal-Hydraulic Code Assessment

and Application Program (ICAP)

Published by

U.S. Nuclear Regulatory Commission
NOTICE

This report was prepared under an international cooperative

agreement for the exchange of technical information.; Neither

the United States Government nor any agency thereof, or any of

their employees, makes any warranty, expressed or implied, or

assumes any legal liability or responsibility for any third party's

use, or the results of such use, of any information, apparatus product or process disclosed in this report, or represents that its use

by such third party Would not infringe privately owned rights.

Available from

Superintendent of Documents

U.S. Government Printing Office

P.O. Box 37082

Washington, D.C. 20013-7082

and

National Technical Information Service

Springfield, VA 22161
NUREG/IA-0009

International

Agreement Report

Assessment of RELAP5/MOD2

Against 25 Dryout Experiments

Conducted at the Royal Institute

of Technology

Prepared by

A. Sjoberg, D. Caraher

Swedish Nuclear Power ln~pectorate

S-102 52 Stockholm, Sweden

Office of Nuclear Regulatory Research

U.S. Nuclear Regulatory Commission

Washington, DC 20555

October 1986

Prepared as part of The Agreement on Research Participation and Technical Exchange under the International Thermal-Hydraulic Code Assessment and Application Program (ICAP)

Published by

U.S. Nuclear Regulatory Commission

STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

Anders Sj6berg

David Caraher*

I CAP

Assessment of RELAP5/MOD2 Against Twenty Five

Dryout Experiments Conducted at the Royal

Institute of Technology

Swedish Nuclear Power Inspectorate

Project 85026, Reference 13.3-917/84

ABSTRACT

RELAP5/MOD2 simulations of post-dryout heat

transfer in a 7 m long, 1.5 cm diameter heated

tube are reported. The Biasi critical heat flux

correlation is shown to be inadequate for predicting the experimental dryout. RELAP5 accurately predicted the measured temperatures downstream of the dryout once it was forced to predict dryout at the experimentally measured

location.

* Engineering Software Consulting

Approyd4i, ý&A4 h4

STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

LIST OF CONTENTS

Page

EXECUTIVE SUMMARY 1

NOMENCLATURE 4

1 INTRODUCTION 5

2 FACILITY AND TEST DESCRIPTION 7

2.1 The loop 7

2.2 Test sections 9

2.3 Experimental program 14

3 CODE AND MODEL DESCRIPTION 16

3.1 Input description 16

3.2 Code updates 17

4 RESULTS AND DISCUSSION 19

4.1 Base case simulations 19

4.2 Forced CHF simulations 21

4.3 Nodalization studies 22

5 COMPUTATIONAL EFFICIENCY 35

5.1 Discontinuties in the CHF calculation 36

6 CONCLUSIONS 40

REFERENCES 41

APPENDICES

STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 1

1986-06-02

EXECUTIVE SUMMARY

RELAP5/MOD2 simulations have been conducted for

25 of the post-dryout heat transfer experiments

performed at the Royal Institute of Technology in

Stockholm, Sweden. The experimental test section

was a 7 m long, 1.5 cm diameter heated tube.

Experimental pressures ranged from 3 to 20 MPa;

mass fluxes ranged from 500 to 2 000 kg/m2 -s;

heat fluxes from 10 to 125 W/cm 2; and inlet subcooling from 7 to 13 K.

The RELAP5 model used for the simulations consisted of 47 fluid volumes - fairly coarse noding

was used in the lower 3 m of the test section

while cell lengths of 10 cm were used above the

3 m elevation. For nearly all experiments being

simulated the tube region below 3 m remained in

nucleate boiling. Time dependent pressure, temperature, and flow boundary conditions were imposed

to simulate the fluid entering the test section.

The region downstream of the test section was

modelled by a time dependent pressure boundary condition. A constant, axially uniform heat flux was

imposed on the tube, replicating the experimentally measured heat flux. An insulated boundary

condition was imposed upon the outside edge of

the tube wall while the inner edge received its

boundary condition - a heat transfer coefficient

and temperature sink - from the RELAP5 heat

transfer package. Once the RELAP5 simulations

reached steady state the calculated axial temperature distribution along the tube was compared

to experimental measurements.

The first series of RELAP5 simulations showed

very poor agreement with the experimental data

because RELAP5 predicted CHF to occur much farther
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 2

1986-06-02

downstream than it actually did. A subsequent

comparison of the Biasi CHF correlation (used

in RELAP5) to 177 of the post-dryout experiments

showed that the mean difference between the measured and Biasi CHF was -60.8 %, the negative

sign indicating that the Biasi heat flux was

greater than the actual heat flux.

A second series of simulations were conducted

using a version of RELAP5 which was updated so

that the calculated CHF location corresponded

to the measured location. This technique allowed

the objectives of the simulations - assessing

post-CHF heat transfer - to be achieved.

The forced-CHF simulations showed that RELAP5

accurately simulated the temperature distribution

in the region more than 30 cm downstream of the

CHF point. In all but one simulation the difference

between measured and calculated temperatures in

this region was less than 10 %. In general, RELAP5

underpredicted the temperature for the higher

(P>10 MPa) pressure experiments and overpredicted

the temperatures for the lower pressure experiments.

In the region immediately (0 - 30 cm) downstream

of the CHF point large differences between measured and calculated temperatures were evident.

In this region the axial temperature gradient is

very large (-200 - 300 K over 10 to 20 cm).The

differences between calculated and measured

temperatures could, in some cases, be attributed

to the discreteness of both the RELAP5 model and

the temperature measurements. In other cases

the differences were due to transition boiling

occurring in the experiment but not being calculated by RELAP5.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 3

1986-06-02

Nodalization studies showed that, if CHF were

forced to agree with experimental measurements,

adequate simulation of the measured temperature

distribution could be achieved with a RELAP5 model

having only 14 equally sized nodes representing

the test section. For this case the node length

(0.5 m) corresponded to that typically used in

power plant simulations.

Examination of time history plots from several of

the RELAP5 simulations revealed that the steady

state convergence algorithm in RELAP5 could probably be relaxed and still yield an acceptable

steady state while reducing running time by up

to 40 %.

A potential numerical problem with the a CHF calculation was discovered during the RELAP5 simulations in which CHF was not forced. In subroutine PREDNB the calculated CHF is altered based

upon results from the iteration scheme used to

*obtain a wall temperature corresponding to CHF.

This alteration sometimes induces discontinuities

into the CHF calculated at adjacent time steps in

the RELAP5 solution.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

NOMENCLATURE

Symbol -Definition

4

Units

d.

d

0

G.

L

P

q/A

q

,"twi~*".

two

:At.

U

x

p.

Inner diameter

Outer diamter

Mass velocity '

Heated length

Pressure

Surface heat flux

Volumetric heat generation

Inner wall temperature

Outer wall temperature

Inlet sub-cooling -

0 C

Voltage over test section

Steam quality

Thermal conductivity

Electrical resistivityCritical .heat flux

m

m

kg/m2 s

m

bar

W/m

2

W/m

3

oC

oC

volts

dimensionless

kJ/m0 Cs

Om

W/m 2

. Subsrcipts

1PDO P

P p

ost Dryout -.

redicted- -

M mqeasured
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 5

1986-06-02

1 INTRODUCTION

The International Thermal-Hydraulic Code Assessment and Applications Program (ICAP) is being conducted by several countries and coordinated by

the USNRC. The goal of ICAP is to make quantitative statements regarding the accuracy of the

current state-of-the-art thermal-hydraulic computer programs developed under the auspices of

the USNRC.

Sweden's contributions to ICAP relate both to

TRAC-PWR (1) and RELAPS (2). The assessment

calculations are being conducted by Studsvik

Energiteknik AB for the Swedish Nuclear Power

Inspectorate. The assessment matrix is shown in

Table 1.

In this report results obtained from an assessment of the RELAP5 Post-CHF heat transfer package

are presented. Twenty five post-CHF experiments

(3) have been simulated using RELAP5. The experiments were conducted at the Royal Institute of

Technology in Stockholm, Sweden. RELAP5/MOD2

version 36.02 was used to perform the simulations.

This report is organized as follows: section 2

describes the experimental facility and section 3

describes the RELAP5 model used to simulate the experiments. In section 4 results from the simulations are presented and discussed. Computational

efficiency of RELAP5 and numerical problems encountered during the simulations are given in

section 5. Conclusions are presented in section 6.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

6

Table 1

ICAP Assessment Matrix - Sweden.

Code Facility Type Description

Sep. effect Integral

RELAP5 Marviken22 X Subcooled Critical Flow

RELAP5 Marvikenil X Critical Flow, level swell

RELAP5 FIX-II X Recirculation Line (10 %) break

RELAP5 FIX-II X Recirculation Line (31 %) break

RELAP5 FIX-II X Recirculation Line (200 %) break

RELAP5 LOFT X Cold Leg Break (4") pumps off

RELAP5 LOFT X Cold Leg Break (4") pumps on

RELAP5 FRIGG X Subcooled Void Distribution

RELAP5 FRIGG X Critical Heat Flux

RELAP5 RIT X Post Dryout Heat Transfer

TRAC/PFI Ringhals X Loss of Load
STUDSVIK ENERGITEKNIK AB

2

STUDSVIK/NP-86/66

1986-06-02

7

FACILITY AND TEST DESCRIPTION

The test facility was designed for the purpose

of studying post-CHF heat transfer in electrically

heated tubes. The facility is located at the department of Nuclear Reactor Engineering of the

Royal Institute of Technology in Stockholm, Sweden.

2.1 The loop

The loop employed for the post-CHF experiments was

designed for an operating pressure of 250 bar.

All parts of the loop in contact with water were

made from stainless steel. A simplified flow diagram for the loop is shown in Figure 1. Test sections with heated lengths up to 7 300 mm can be

accomodated. Power is supplied from a direct

current generator. The maximum available current

is 6 000 amps and voltages ranging from 0 to

140 volts can be supplied.

Figure 1

Flow diagram.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 8

1986-06-02

Before entering the test section the water passes

a 150-kW preheater and a filter. The preheater

is used for adjusting the inlet water temperature.

After the test section the steam-water mixture flows

through a condenser, and the water then enters

a circulation pump, which has a pressure head of

100 meters of water. The major portion of this

pressure head is used in the duct system between

the pump and the test section inlet, thus providing sufficient throttling in order to secure

stable operation of the loop.

The flowmeter system consists of four 1 000 mm

long ducts of 3.80, 6.29, and 13.2 mm inner diameter The flow rate measurements were based on

measuring the pressure drop over one of these

ducts with a Barton cell. The accuracy of this

flowmeter system is better than 1 per cent over

the whole range of application.

The static pressure of the loop was measured with

Barton cells connected to pressure taps, which

were located just below and above the test section.

The accuracy of the pressure measurements is

0.1 percent.

The water temperature was measured before the flowmeter, before the test section and after the test

section. This was accomplished by means of thermocouples mounted in wells 100 mm deep and 3 mm inner

diameter. The accuracy of the fluid temperature

measurement is ±0.5 K.

The power input was obtained by measuring the

current through and the voltage over the test

section. The voltage was measured with a precision
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 9

1986-06-02

voltmeter of 0.25 percent rated accuracy, and the

current was obtained by measuring the voltage

over a calibrated shunt. For the latter measurements a millivoltmeter with a rated accuracy of

0.25 percent was used.

In order to check the accuracy of the instrumentation, heat balances for one-phase flow, relating

the electric heat input to the enthalpy increase of

the water were taken every day before starting the

ordinary measurements. The error of the heat

balances was generally less than 1 per cent. If

larger errors were encountered, the instrumentation was checked and new heat balances were

taken before carrying out the experimental program.

2.2 Test sections

Three electrically heated round tubes with the

following dimensions were employed:

Test Heated Inner Outer

section length diameter diameter

1 7 000 mm 14.9 mm 20.8 mm

2 7 000 mm 10.0 mm 14.0 mm

3 7 100 mm 24.69 mm 31.7 mm

Test sections 1 and 2 were made from Nimonic and

test section 3 from stainless steel.

In order to make it possible to mount the thermocouples on the outer wall of the test sections,

a 0.1 m thick layer of ZrO2 was sprayed on the

outer walls. 55 Chromel-Alumel thermocouples were
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 10

1986-06-02

placed along the heated length of test sections 1

and 2 in accordance with the axial positions

given in Figure 2. Test section 3 was supplied

with 49 Chromel-Alumel thermocouples, employing

the axial locations shown in Figure 3.

Two copper rings were silver soldered to the test

sections. The distance between these rings are

referred to as the heated length. Finally, a 10 cm

thick layer of stone wool insulation was mounted

around the test section, keeping the heat losses

at an insignificant level, which was verified by

means of the earlier mentioned one-phase flow heat

balances.
STUDSVIK ENERGITEKNIK AB STUDSVI K/NP-86/66

1986-06-02

11

copper ring

pressure tap thermocoupli

Z z= 6.906.80 6.90 6.95 T55 9 T54

6.70 T52 6.60 T51 -50 6.0 6.40 T49 O

6.60 T47 6.06.20 T47 Ti48

6.10 T46

5.90 6.00 T45,T44 T42T43

5.90 5.80 T41 T40

5.70 5.60 T39

5.50 5.40 T37 138

5,05.20 ----- T35 T3

5.10 5.20 T34

4.90 4.8o T33 T32 4.80 T31

4.70 - 30 4.50 4.60 T29 T28

4.50 4.40 27 T26

4.30 4.20 T25 2

4.10 T24

4.00 T23

3.90 3.202T21

3.70 3.80 T20

3.50 3.60 1T9 T18

3.30 3.40 1-Ti7 TI6

3.10 3.20 -5 14 3.00Q T3

e number

0

0

0

4a

V

'-4

2.75 T12

2.50

2.25

2.00

1075

1.50

1.25

1.00

0.75

0.50

0.25

T1O

-~T 9

-. - T7

.-- .----r2

-0.05 -

pressure tap ' I

copper ring Figure 2

Location of thermocouples.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 12

1986-06-02

Testsection 3

•her..oOcounle Coordinate

,:0. M

1 7075

2 ~70 50

3 g o-6900

5 6700

6

7 - 8 -6300

9 61oo

10 59o0

11 - 12 -5700

i3 - - 5500

I-'-- - 530

13 -- 10 -51C0

17 "o

18 -- 4100

19 j 20 o-4ko00

21 i3C0

22 -" 3~00 22 - 10o

23 -3 24 -3900

25 -- 3700

'-" l350o

27 P, 2 -3300

31 3- 27 .... 230

33 -- 2500

34 -- "23200

35 - - 36 -2100

37 -- 1900

38 -1700

39 - -- 40 -1500

4 1-1300

412 -1100

43 - 44 - 900

1' 5 -700

416 500

4,7 - a - 300

9 100

0

Figure 3

Location of thermocouples.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 13

1986-06-02

The outer wall thermocouples were calibrated by

means of adiabatic one-phase flow experiments,

which were carried out at 100, 200 and 300 0 C.

The majority of the thermocouples indicated temperature dependent correction terms less than 1.5 0 C.

The maximum correction term, which was observed

at 300 0 C, was 3.6 0 C.

All of the data were recorded by a 100 channel

Schlumberger data recorder, punched on paper tape

and evaluated by an IBM-360/60 computer.

The inner wall temperatures were obtained from the

outer wall temperatures by stepwise integration of

the following equation

2 2 82T + 18T T q' U 1

8R2 RR A (T) pL2 X(T)

This calculation involved the division of the tube

into 20 concentric tubes, and demanded information

about the temperature-dependent electrical resitivity and thermal conductivity of the test

sections' materials. With regard to test sections 1

and 2, the manufacturer's curve for Nimonic 75 was

used for the thermal conductivity, while the electrical resistivity was measured in a temperature regulated oven. The thermal properties are given in

Table 2.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

Table 2

Thermal Properties of Test Sections 1 and 2

14

Temp Thermal Electrical

(C) conductivity resistivity

(W/m-C) (56 mm2 /m)

100 14.0 1.118

200 15.9 1.130

300 17.6 1.142

400 19.0 1.154

500 21.1 1.160

600 22.4 1.146

700 24.2 1.139

800 26.0 1.138

2.3 Experimental Droaram

In all, 510 runs were carried out in the following

ranges of variables:

Test section 1

Heated length

Inner diameter

Outer diameter

Inlet subcooling

Pressure

Mass velocity

Heat flux

PDO steam quality

L = 7 000 mm

d. 1 = 14.9 mm

d = 20.8 mm

0

At. = 10 ± 3*C

P = 30, 50, 70, 100, 120, 140,

160, 180, and 200 bar

G = 500, 1 000, 1 500, 2 000,

2 500 and 3 000 kg/m2 s

q/A = 10 - 125 W/cm2

xPDO = 0.03-1.60
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

15

For each combination of pressure and mass velocity

(9 x 6 = 54), 4-8 axial temperature profiles were

obtained by variation of the heat flux in steps of

2 5-10 W/cm . The maximum obtainable heat flux was

limited by the requirement not to exceed a wall

temperature of -700 0 C. 334 runs were carried out

with this test section.

Test section 2

Heated length

Inner diameter

Outer diameter

Inlet subcooling

Pressure

Mass velocity

Heat flux

PDO steam quality

L = 7 000 mm

d. 1 = 10.0 mm

d 0 =014.0 mm

At. = 10 ± 30 C

P = 30, 70, 120, 160 and

200 bar

G = 500, 1 000, 1 500, 2 000,

2 500 and 3 000 kg/m2 s

q/A = 9-85 W/cm2

XPDO = 0.19-1.66

138 runs were carried out with this test section.

Test section 3

Heated length

Inner diameter

Outer diameter

Inlet subcooling

Pressure

Mass velocity

Heat flux

PDO steam quality

L

d.

d

At.

P

G

qJA

xPDO

5

7 100 mm

24.69

31.70 mm

± 1C and 10 ± 1.50 C

150,-180, 196, and

201 bar

780-2 475 kg/mr2s

29-94 W/cm2

0.12-0.66

38 runs were carried out with this test section.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 16

1986-06-02

3 CODE AND MODEL DESCRIPTION

Simulations of the Royal Institute of Technology

(RIT) steady state post-CHF experiments were made

with RELAP5/MOD2, cycle 36.02. For the first

series of simulations no changes were introduced into the computer program. As shown in

section 4, this first set of simulations were in

poor agreement with the experimental data because RELAP5, in general, failed to predict CHF

near the locations where it actually occurred.

Instead, it generally predicted CHF to occur much

farther downstream. The disagreement between the

measured and predicted CHF points precluded making

meaningful assessment of the post-CHF heat transfer

package in RELAP5.

In order to facilitate the assessment of post-CHF

heat transfer RELAP5 was updated so that CHF could

be forced to occur at the same location as it did

in the experiment. The simulations were repeated

using this updated version of the code.

3.1 Input description

The RELAP5 model of the experimental facility

is shown in Figure 4. The test section was

modelled with 47 fluid cells. Large cell lengths

were used in the lower part of the test section

because, in the experiments, CHF never occurred

below the 2.7 m elevation. The bulk of the test

section was modelled by a uniform mesh of cells

having a length of 10 cm.

Boundary conditions were imposed upon the lower

and upper end of the test section via time

dependent volumes. The lower time dependent

volumes specified the inlet pressure and fluid
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 17

1986-06-02

temperature corresponding to experimental inlet

conditions. The experimental flow rate was specified by a time dependent junction at the entrance

to the test section.

The heated wall was represented by 47 heat structures (one per fluid volume). Each heat structure

used two heat transfer nodes - one at the wall

inner edge and one at the wall outer edge. A heat

transfer coefficient (determined by RELAP5) was

specified as the inner wall edge boundary condition

while the outer wall edge was specified to the be

completely insulated. The latter specification

was justified by the experimental heat balances

which showed negligable heat loss through the insulation surrounding the test section.

3.2 Code updates

In order to force RELAP5 to obtain CHF at the same

locations as the experiments modifications were

made to subroutines PREDNB and HTRCl. The updates

are shown in Table 3. These updates were activated

only when the CHF and heat transfer correlation

flags (word 1 on card lGCCG801) were set to 10 or

20 for a heat structure.

Table 3

Updates to specify CHF point.

*IOENT OLCCHF1

*COMPILE SEGOIR,DEFINE,HTRC1,PREDNý

*1 PREDNB.106

C EXTRACT CHF FLAG. IF 1 FORCE CHF ; IF Z INHIBIT CHF

JCHF=.NOT.MrASK(54).AND.SHIFT(HTINCO(LS),54)

IF(JCHF.EQ.i) CHF=HTRNRO(LS)

IF(JCHF.EQ.2) CHF=HTRNRO(LS)*100.

*I HTRC1-.12S

C EXTRACT CHF FLAG. IF I FORCE CHF i IF 2 INHIBIT CHF

JCHF=.NOT.MASK(54).AND.SHIFT(HTINCO(LS),54)

IF(JCHF.EQ.1) GO TO 2000

IF(JCHF.EQ.2) GO TO 3000
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 18

1986-06-02

1-E TMDPVOL

z=6.90 6.8o 6.95 T55 T54 543: 45

6.70 6.60 -T51 ----5

6.50 6.40 T49 T4O 40

6.30 6.20 T47 T48

T46 -- 6.10 6.00 T45,T44--

5.90 T42 35

5.70 5.80 T41 T40

5.70 5.60 -------- T39 38

5.50 5. 0T37 T38 30-

5.30 5.40 -36 30

5.10 5.20 T35 T34 5 .0 0 _ _ _ _ T 3 3

4.90 -T T32 25

4.80 T31 T30

4.70 4.60 T29 228

4.50 4.40 27 T26 20

4.30 4.20 --- T25 2U6

4.10 4 T244-02

3.90 3.80 .- T21. 15

3.80 - T20 o3 .7 0 _ _ _ ___ 

o 3.60 - 1 T18 o 3.50 3.40 T 1 - 6 10 3.30 "TI6 -_

3.20 ------- Tl5 14 PIPE

3.1T3

3.0Q 6

* 2.75 T12

2.50 5-

2.25 -TIO

2.00 T9

1.75 -8

1.50 ---- T7 3

1.25

1.00 - 52

0.75--T

0.50 3 1

0.25 .- --. ----T2 CELL

0.05 - -- T1 TMDPJUN

TMDPVOL

Figure 4

Test section and RELAP5 model.
STUDSVIK ENERGITE)KNIK AB STUDSVIK/NP-86/66 19

1986-06-02

4 RESULTS AND DISCUSSIONS

RELAP5 simulations were conducted for 25 of the

RIT post-CHF experiments. All the results reported here pertain to experimental test section 1.

4.1 Base case simulations

The results of the RELAP5 base case simulations

of 25 experiments are summarized in Table 4.

Table 4 shows that in nearly all cases RELAP5

predicted CHF to occur a considerable distance

downstream of the measured CHF point. From these

results one concludes that the Biasi CHF correlation can be nonconservative; that is, it can,

predict CHF to occur at much higher qualities than

it actually does.

The poor agreement of the RELAP5 results and the

experimental results was unexpected because the

experiments are within the range of validity quoted

for the correlation (4) and the correlation was

reported to have a mean error of 0.1 % and a

mean quadratic error of 7.3 %. The mean error

being defined as

o-mi-opi

_.mi 100

N

and the mean quadratic error as

Orn#i-Opi• 2v

=1mi 100

N

where N is the number of data points in the comparison.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

20

Table 4

Comparison of the RELAP5 CHF location with the measured location.

Measured Calculated

Pressure Mass flux Inlet temp Heat flux CHF location CHF location

Run P(MPa) G(kg/m2 s) T m(K) q"(MW/m 2 ) Zm (M) ZRS (m)

136

139

147

154

161

220

221

224

232

238

244

259

261

264

269

270

272

275

315

317

320

325

327

331

332

13.99

14.00

14.00

13.98

13.99

10.00

10.01

10.02

10.00

10.01

9.98

6.99

7.02

6.99

7.01

7.02

7.02

7.04

3.01

3.03

2.99

3.01

3.00

3.00

3.00

1976.6

1970.5 w

1494.3

1006.6

503.2

1981.2

1973.8

1990.3

1499.8

997.3

502.0

1989.3

1988.2

1500.2

995.4

996.5

999.6

500.9

1986.3

1987.3

1499.3

1010.6

1005.6

497.2

496.4

599.65

600.05

600.05

600.35

600.25

574.45

574.15

573.35

573.75

572.15

573.05

548.95

548.45

547.85

547.75

547.15

547.43

547.25

498.05

497.25

497.65

496.25

497.15

498.55

497.75

0.509

0.757

0.704

0.552

0.405

0.511

0.665

0.860

0.758

0.556

0.405

0.870

1.053

0.766

0.564

0.660

0.815

0.410

0.873

1.058

0.769

0.561

0.667

0.413

0.464

5.55

2.88

2.88

3.15

2.88

5.55

4.25

4.15

4.85

5.05

6.05

4.65

6.05

5.85

4.55

6.45

5.95

5.05

6.05

5.70

3.50

3.10

3.00

3.60

5.80

6.30

5.70

6.30

5.60

6.60

6.05

6.25 6.80

* means no CHF occurred
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 21

1986-06-02

To ensure that the poor agreement between RELAP5

and the experimental CHFs was not due to the

limited number of experiments chosen the Biasi

correlation was programmed and compared to all the

experimental data obtained with test section 1

for pressures less than 15 MPa. This comparison included 177 different experimental runs and gave a

mean error of -60.8 % and a mean quadratic error

of 88.9 % (see Appendix A). These results clearly

demonstrate that the Biasi correlation is of little

value for predicting CHF for these experiments.

Using the Biasi correlation in RELAP5 precluded

reaching the objective of the simulations which

was assessment of post-CHF heat transfer in

RELAP5.

4.2 Forced CHF simulations

The RELAP5 simulations were rerun using a code

version which. forced CHF to occur at the experimentally measured location in each experiment.

In Figures 5 through 24 the temperature distributions along the inner wall of the test section

are shown.

For those points more than 20-30 cm downstream of

the CHF location the agreement between the RELAP5

temperatures and the measured temperatures is very

good. The discrepancy between predicted and measured temperatures is less than 10 % in all cases

except one (run 139). In many cases the discrepancy is less than 5 %. RELAP5 underpredicted

the temperature for the high pressure cases

(P>10 MPa) except for those cases having high

pressure and high flow (runs 136 and 139). For

lower pressures (P<10 MPa) RELAP5 overpredicted

the temperature, the degree of overprediction

increasing with decreasing pressure.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 22

1986-06-02

In the region (0-30 cm) immediately downstream

of the CHF location there is considerable disagreement between RELAP5 and the experimental data.

In some cases this is due to the discreteness of

both the RELAP5 nodalization and the temperature

measurements (runs 139, 147, 154 and 161). In

other cases the disagreement is probably due to

transition boiling occurring over several centimeters in the experiment whereas no transition

boiling was calculated to occur in the RELAP5

simulation.

Examination of the RELAP5 results showed that more

than 95 % of the heat being added in the post-CHF

regime was being deposited in the vapor. Thus,

the good agreement exhibited in Figures 5 - 24

indicate that the amount of vapor superheat

(40-90K) calculated by RELAP5 is close to that

which occurred in the experiments. In this respect, RELAP5/MOD2 represents a definite improvement over RELAP5/MODI. The earlier version of

the program failed to calculate any superheat of

the vapor when it was used (5) to simulate some

of the experiments being reported here.

4.3 Nodalization studies

The sensitivity of computed results to noding in

the tube wall was investigated by rerunning the

simulation of test 136 using 10 heat transfer

nodes instead of two to represent the wall. Differences in computed wall temperatures for the

10 node and the 2 node cases were less than 0.5 K.

The number of fluid cells (47) used to represent

the 7 m test section is much greater than would be

used for normal sintulations of reactor systems.

Typically, cell lengths of 0.5 m are used to re-
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 23

1986-06-02

present a reactor core's heated length. To investigate the effect of noding upon computed results the simulation of test 272 was rerun using

14 fluid cells rather than 47 to represent the

test section. Figure 25 shows the temperature

from the 14 node simulation. Comparison of this

figure with Figure 19 shows the change in the

computed temperature distribution due to the

noding change. Except for the difference in the

immediate region of the CHF point, the calculated

temperature distributions are in good agreement

with one another. Thus, reasonable simulations of

the RIT experiments could have been obtained with

a nodalization comparable to that used in power

plant analyses, so long as the CHF location was

specified in the simulations.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

24

fl

Tir-O. 0t CHUd ,1 cninl...r'vp nocu-.C

a:

n

D

-v0,

r

-J

C.-

0

I0

I-.

wU.

800• . A - r " !.r.II• 1..) ,jrj JI-.,tq.".j--,--l.

7S3 -

I I I

I I

0 . . . . 1 1. i . .

I i~ i 

S I ! I , I

SI I

600 . . . - .*,. . , . . . , . . , . , , - - - . - , - . . .

0 o.5 I 1.5 2 2.5 3 :3.5 4 4.S S 5.5 6 6.S 7

AXIAL

-i

0_

POSITION (M)

Figure 5

Temperature Distribution for run 136. P = 14 MPa,

G = 2 000 kg/m2 -s.

1100

1000

950

900

8.50

Uo go

7S0

700

650

600

~-1.1

---- ~1

-1-i

6.5 7 .5 I 1.5 2 2.5 3 3.5 4 1.5 S 5.5

AXIAL POSITION (IM)

Figure 6

Temperature Distribution for run 139. P = 14 MPa,

G = 1 500 kg/m2 -s.
STUDSVIK ENERGITEKNIK AB STUDSVI K/NP-86/66

1986-06-02

25

lo

0m

'U,

LO.

ex)

C

0,

Q-.

Li

AXIAL POSITION WM'

Figure 7

Temperature Distribution for run 147. P = 14 MPa,

G = 1 500 kg/m2 -s.

fl

n

I-.

~0

*0

C7-C

Li 703

I

Figure 8

Temperature Distribution for run 154. P = 14 MPa,

G = 1 000 kg/m2 -s.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

26

ID

>:

t n

U, F

' ; II I

I II ! I •

650

. : r i C. i 6.1 

-. = 5 k + !

!i * , i;

- -"-- 4 4- - 4-.

'* " * Il

____________.___,,_ ji {- i - ____

U,

Fiuri

TeprtreDsrbuinf.ru 6.P. 4Ma

t50kgmIs G 

Li

I-.

LI

0~

Li

Figure 10

Temperature Distribution for run 221. P = 10 MPa,

G = 2 000 kg/m2 -s.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

27

0=

a:

12

IrZ

Li

Figure 11

Temperature Distribution for run 224. P = 10 MPa,

G = 2 000 kg/m2 -s.

a3

V,

ca

0

En

U,

I.-

Figure 12

Temperature Distribution for run 232. P = 10 MPa,

G = 1 500 kg/m2 -s.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

28

I rAP• P11 PIIM 9• qnl I rlor':'P 17 A ql-I.I;, €:

U

t-.

3900

6007-- ~ - - 750 -Ii~~K

700 - - If t

600 -

. 1° I

IS,

500 ..... r- -T1-- •

0 0.5 1 1.5 2 2 3 3.5 1 .5 5 5.5 6 65

AXIAL POSITION (M)

Figure 13

Temperature Distribution for run 238. P =

G = 1 000 kg/m2 -s.

10 MPa,

0n

co,

U,

C;

Li

IC

Li

r

Li

I

I0

~1

a..

2.S 3 3.5 t 1.5

AXIAL POSITION IMI.

Figure 14

Temperature Distribution for run 244. P = 10 MPa,

IG = 500 kg/m2 -s.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

29

CE:

;9J

10

a:- CL

Li

aw

90 'CAP- R 259. SOLID E H-RS -9 

600 -

700-

0 9.I 1.S 2 2.S 3 O.S 3.5 4 5 5'O 6 6.5 7

AlXIAL POSMTON IIM)

Figure 15

Temperature Distribution for run 259. P = 7 MPa,

G = 2 000 kg/m2 -s.

Figure 16

Temperature Distribution for run 261. P = 7 MPa,

G = 2 000 kg/m2 -s.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

30

0

L,

0

Ln

0

E

1a,

U

Li

cc

Li

U~

900c 7 CAP: R7 UN 26. SOI EXPf~.X UM',MtS

8007

750

7S0-----------------

550 -

ssoc

500-

0 0.S 1 1.5 2 2.5 3 3.5 1 1.5 S S.S 6 6.5 7

t-, AXIAL POSITION (h) 0,

-_

Figure 17

Temperature Distribution for run 264. P = 7 MPa,

G = 1 500 kg/m2 -s.

D

... ]CP: .I RUN 270. SOI EP ]RSH-RS

0D

3-I

a . I J. . . . . .

6 PssoJ~ ..5OJ-1X .. A..... -....

RXIRL POSITION (M)

0

Figure 18

Temperature Distribution for run 270. P = 7 MPa,

G = 1 000 kg/m2 -s.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

31

Figure 19

Temperature Distribution for run 272. P = 7 MPa,

G = 1 000 kg/m2 -s.

U, •

Wo ICP R T RUN27. 5 LinD~ rxP. - - -R

61 L.J O

o M

050

a O.S I 1.S 2 2.5 3 3.5 4 1.5 5.S 6 6.S 7

AXIAL POSITION (M)

C3

4L

Figure 20

Temperature Distribution for run 275. P = 7 MPa,

G = 500 kg/m2 -s.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

32

Figure 21

Temperature Distribution for run 315. P = 3 MPa,

G = 2 000 kg/m2 -s.

ca

7CAP RITRUN320. SOLD EX. OSH-R5

c 50

so

0

Soo

7SO,

Ll

* 8 0- -- -- -- -

05

0 0.5 1 1.,5 2 2.S 3 3.S 4 I' 5 5.5 6 G.5 7

RX IRL POSITION (M)

Figure 22

Temperature Distribution for run 320. P = 3 MPa,

G = 1 500 kg/m2-s.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

33

r

U,

9wO lC ! RI UN 2. OIDEP. DSH.

Uo

'• • 7so. -

500,a- - Li

ANA PSIIN M

a-ur 230

G00 =F 0 k/ s

U, s------------------

G 100 -gM-S_

Figure 24

Temperature Distribution for run 332. P = 3 MPa,

G = 500 kg/m2 -s.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

34

Figure 25

Temperature Distribution for run 272. Four Node

RELAP5 model.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 35

1986-06-02

5 COMPUTATIONAL EFFICIENCY

The simulations reported here were run using the

steady state option and the nearly implicit

hydrodynamic numerical scheme option. Preliminary runs in which maximum time step sizes were

set to 0.1 sec executed using large time step

sizes but failed to reach steady state. Therefore, the maximum time step for all simulations

reported here was specified to be slightly

smaller than the material Courant limit. All

simulations ran at this user specified maximum

time limit. The simulations required from 14 to

28 seconds of transient time to achieve a steady

state. The computational time required was 0.045

seconds per time step per volume on a Cyber

180-185.

Time history plots of key parameters from many of

the RELAP5 simulations has revealed that the relaxation of the convergence criteria of the steady

state algorithm in RELAP5 could substantially increase the computational efficiency with no loss

in accuracy. Figures 26 and 27 illustrate this

observation (in the RELAP5 simulations, the

power was ramped from zero to full power over

10 seconds). All other thermal-hydraulic variables calculated by RELAPS show a similar behavior

to that exhibited in Figures 26 and 27. That is,

for all practical purpose, steady state was

achieved at 12 seconds. However, the steady

state algorithm continued to 20 seconds before

deciding steady state had been achieved.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 36

1986-06-02

5.1 Discontinuities in the CHF calculation

The RELAP5 base case simulations reported here

used the CHF calculation inherent in RELAPS.

During these simulations it was noted that the

calculated CHF exhibited discontinuous behaviour

(Figure 28) even though the relevant thermalhydraulic parameters were continuous (Figures 26

and 27). While the discontinous behaviour did

not cause problems in these particular RELAP5

simulations it is easy to imagine a case in

which it could: In a case where the CHF is close

to the actual heat flux the discontinuous nature

of the CHF calculation could lead to a erroneous

excursion into the post-CHF regime with its

concomitant high wall temperatures.

Examination of the RELAP5 coding showed that the

discontinous CHF calculation is due to the

iterative scheme used in subroutine PREDNB to

calculate the wall temperature corresponding to

CHF. The CHF is held constant while the wall

temperature is calculated but is modified slightly,

based upon parameters calculated in the iteration,

when the iteration is completed.

The convergence criterion of the iteration,

which is that the change in temperature between

iterates is less than one degree Kelvin, is not

restrictive enough to prevent a fairly large

change between the CHF entering the iteration

and the CHF leaving. A situation arises wherein

the iteration may be tightly converged (AT<<lK)

for several steps of the overall hydrodynamic

solution and then, for unknown reasons, may

change so that it barely satisfies the convergence criterion (AT=lK). This slight change in

the convergence induces a large change into the

calculated CHF.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 37

1986-06-02

The numerical discontinuities can be removed

by simply not changing the CHF at the end of

the iteration for the wall temperature. In this

way the CHF edited by RELAP5 will be truly that

which is calculated by the CHF correlation.
STUDSVIK ENERGITEKNIK AB

RELAP5,ol002io03G

.:10

.00

-. 10

o. 2. •. C.

STUDSV I K/NP-86/66

1986-06-02

RIT PD0-CASE 136

38

100200

£ SJAL

100220000

2 SM

100240000

T[mE (SEC)

Figure 26

Time history of calculated quality for Run 136.

RELAP5 tnOD2iO36 RIT POO-CASE 136

44

0-

4-

K

¶,1. -

,0. - -___

S. - _____"- -

S. -

2.

6. - - - - -

I MeJJ

3 VW.Li

1002450000

100360w0

0. 2.~

TIMlE (SEC)

Is. U.1 U5. 1I.

Figure 27

Time history of calculated velocities for Run 136.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66

1986-06-02

39

RELAP5,if002,o06 AiT PO0-CASE 136

3.5

1.0 .I tcw

100002200

It "Mat

100002300

¶00003'00

;j

2.0

1t.5

1.0

0.0

-1.0

Tr[rE (SEC;

Figure 28

Calculated Critical Heat Fluxes for Run 136,

Cells 33 and 34.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 40

1986-06-02

6 CONCLUSIONS

Assessment of RELAP5 against the RIT post dryout

heat transfer experiments led to the following

conclusions:

1. The Biasi CHF correlation cannot adequately predict the CHF location in the

experiments. The mean error between the

measured critical heat flux and that predicted by the Biasi correlation was

-60.8 %; the negative value meaning that

Biasi generally predicted the critical

heat flux to be much greater than it

actually was.

2. In order to assess the post-CHF heat

transfer RELAP5 had to be updated so

that the calculated CHF point corresponded to the experimental one.

3. For points more than 30 cm downstream

of the CHF point RELAP5 accurately simulated the temperature distributions in

the 20 experiments which were compared

to. The difference between measured and

calculated temperatures was less than

10 % in all cases except one. RELAP5

generally underpredicted the temperature

at the higher (P > 10 MPa) pressures and

overpredicted the temperatures at lower

(P < 10 MPa) pressures.

4. In the region immediately downstream

(0-30 cm) of the CHF location large

differences occurred between calculated

and measured temperatures. In some cases

these differences could be attributed

to the discreteness of the RELAPS model

and the temperature measurements. In

other cases, it was evident that transition film boiling occurred in the experiment but was not calculated to occur

by RELAP5.

5. The computational efficiency of the

RELAP5 steady state procedure could

probably be improved by loosening the

convergence criterion used to detect

steady state.

6. The CHF calculation in RELAP5 exhibits

discontinuous behaviour due to its

alteration following the iteration for

the wall temperature at CHF in subroutine PREDNB.
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 41

1986-06-02

REFERENCES

1. TRAC-PFI/MODl

An Advanced Best Estimate Computer

Program for Pressurized Water Reactor

Thermal-Hydraulic Analysis

NUREG/CR-3858.

2. V RANSOM et al

RELAP5/MOD2 Code Manual

NUREG/CR-4312

August 1985.

3. K M BECKER, et al

"An Experimental Investigation of Post

Dryout Heat Transfer"

KTH-NEL-33, Royal Institute of Technology

Stockholm, Sweden May 1983.

4. L BIASI et al

"Studies on Burnout",

Energia Nucleare, vol 14, No 9, Sept 1967.

5. A SJOBERG

"RELAP5/MODl Simulation of Non-Equilibrium

Effects in the Post-Dryout Regime".

Studsvik Technical Note

NR-84/452, Oct 1984.

STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix A.1(4)

1986-06-02

APPENDIX A

COMPARISON OF BIASI WITH MEASURED CHF

RUN

NUM

124

125

126

127

128

130

131

132

133

134

136

137

138

139

141

142

143

144

145

146

147

149

150

151

152

153

154

155

157

158

159

160

161

163

164

165

166

168

169

170

171

172

174

175

176

177

178

P

(MPA)

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

14.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

G

(KG/M2-S)

3086.0

3082.0

3082.0

3100.0

3089.0

2573.0

2576.0

2598.0

2590.0

2579.0

1977.0

1967.0

1975.0

1971.0

1507.0

1502.0

1495.0

1496.0

1496.0

1498.0

1494.0

1008.0

1007.0

1006.0

1006.0

1007.0

1007.0

1005.0

502.0

502.0

502.0

502.0

.503.0

3102.0

3110.0

3113.0

3106.0

2578.0

2574.0

2568.0

2583.0

2584.0

1968.0

1962.0

1967.0

1968.0

1974.0

X QEXP (MW/M2)

.264 .759

.249 .858

.228 .959

.221 1.043

.196 1.146

.271 .660

.245 .759

.235 .859

.209 .956

.185 1.003

.289 .509

.274 .553

.239 .655

.209 .757

.322 .407

.308 .458

.307 .505

.309 .552

.303 .608

.286 .655

.272 .704

.376 .306

.377 .358

.381 .405

.383 .457

.383 .509

.367 .552

.364 .605

.496 .205

.507 .253

.512 .304

.530 .357

.514 .405

.273 .865

.218 .965

.188 1.001

.160 1.045

.279 .713

.264 .759

.229 .810

.199 .854

.181 .901

.305 .555

.297 .657

.285 .709

.261 .757

.238 .804

QBIASI

(MW/M2)

.465

.558

.688

.728

.884

.501

.666

.725

.892

1.047

.508

.611

.841

1.042

.420

.519

.528

.514

.556

.674

.773

.460

.460

.457

.455

.455

.467

.470

.565

.552

.547

.526

.544

.640

.978

1.163

1.337

.697

.793

1.018

1.205

1.319

.701

.730

.809

.968

1.119

FRAC

DIFF

.387

.350

.283

.302

.228

.241

.122

.155

.067

-. 044

.001

-. 104 -. 285

-. 377

-. 032

-. 133 -. 047

.068

.086

-. 029 -. 098 -. 503

-. 284

-. 128

.003

.106

.154

.224

-1.754

-1.183

-. 798 -. 475

-. 343

.260

-. 014

-. 161 -. 279

.022

-. 045

-. 256 -. 411 -. 464

-. 263

-. 111 -. 141

-. 279 -. 392
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix A.2(4)

1986-06-02

RUN

NUM

179

181

182

183

184

185

186

187

189

190

191

192

193

194

195

196

197

199

200

201

202

203

205

206

207

208

209

210

211

213

214

215

216

217

218

219

221

222

223

224

225

226

227

229

230

231

232

P

(MPA)

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

12.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

G

(KG/M2-S)

1965.0

1487.0

1483.0

1487.0

1496.0

1487.0

1487.0

1482.0

1001.0

1001.0

995.0

998.0

1000.0

1001.0

998.0

1003.0

1000.0

502.0

501.0

502.0

502.0

502.0

3088.0

3076.0

3081.0

3090.0

3078.0

3096.0

3083.0

2550.0

2548.0

2544.0

2542.0

2541.0

2541.0

2541.0

1974.0

1973.0

1979.0

1990.0

1983.0

1983.0

1984.0

1488.0

1489.0

1485.0

1500.0

X QEXP

(MW/M2)

.224 .859

.336 .461

.330 .557

.323 .610

.328 .658

.321 .709

.313 .758

.295 .807

.389 .307

.399 .357

.403 .407

.400 .458

.401 .508

.403 .554

.409 .608

.399 .654

.398 .707

.591 .252

.592 .304

.582 .356

.595 .404

.574 .456

.325 .910

.332 .965

.309 1.011

.290 1.053

.275 1.113

.257 1.155

.229 1.207

.340 .813

.313 .865

.303 .911

.294 .964

.295 1.011

.282 1.049

.265 1.112

.334 .665

.324 .716

.326 .812

.323 .860

.326 .905

.311 .963

.307 1.011

.393 .558

.390 .664

.379 .713

.378 .758

QBIASI

(MW/M2)

1.215

.792

.801

.808

.799

.810

.820

.915

.925

.910

.907

.910

.907

.903

.896

.908

.912

.936

.935

.957

.927

.975

.809

.802

.829

.889

.984

1.092

1.267

.887

.924

.938

.985

.978

1.061

1.170

1.044

1.060

1.055

1.056

1.054

1.077

1.083

1.127

1.132

1.155

1.150

FRAC

DIFF

-. 415

-. 719 -. 438

-. 325

-. 214 -. 143 -. 082

-. 134

-2.012

-1.548

-1.228

-. 986 -. 786

-. 631 -. 474

-. 389 -. 289

-2.716

-2.077

-1.688

-1.295

-1.139

.111

.168

.180

.156

.116

.055

-. 050 -. 091 -. 068

-. 030 -. 021

.032

-. 012

-. 052 -. 570 -. 480 -. 299

-. 228 -. 164 -. 119

-. 071

-1.020

-. 706 -. 620

-. 517
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix A.3(4)

1986-06-02

RUN

NUM

233

234

235

237

238

239

240

241

243

244

245

246

248

249

250

251

253

254

255

256

257

259

260

261

262

264

265

266

267

268

270

271

272

273

275

276

277

279

280

281

282

284

285

286

287

289

290

p

(MPA)

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

10.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

7.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

G

(KG/M2-S)

1492.0

1496.0

1492.0

1000.0

997.0

996.0

992.0

994.0

502.0

502.0

502.0

502.0

3079.0

3085.0

3104.0

3102.0

2561.0

2554.0

2527.0

2550.0

2552.0

1989.0

1988.0

1988.0

1986.0

1500.0

1484.0

1492.0

1489.0

1483.0

996.0

1001.0

1000.0

1003.0

501.0

501.0

501.0

3069.0

3072.0

3068.0

3067.0

2530.0

2521.0

2522.0

2521.0

1975.0

1978.0

X QEXP

(MW/M2)

.379 .809

.366 .856

.356 .906

.496 .512

.494 .556

.482 .659

.468 .712

.470 .761

.792 .357

.777 .405

.767 .457

.751 .489

.359 1.060

.323 1.165

.314 1.218

.315 1.268

.363 .914

.356 .968

.339 1.055

.336 1.163

.321 1.265

.435 .870

.407 .966

.399 1.053

.380 1.162

.510 .766

.497 .867

.486 .913

.473 .966

.474 1.013

.648 .660

.631 .765

.617 .815

.608 .863

.899 .410

.884 .461

.895 .511

.330 1.060

.324 1.168

.317 1.219

.316 1.270

.326 1.058

.355 1.165

.356 1.218

.348 1.270

.423 .972

.418 1.058

QBIASI

(MW/M2)

1.152

1.174

1.194

1.188

1.195

1.224

1.260

1.254

.741

.795

.831

.888

1.259

1.480

1.531

1.525

1.385

1.432

1.550

1.561

1.656

1.314

1.379

1.398

1.499

1.350

1.394

1.420

1.458

1.459

1.240

1.296

1.345

1.375

.537

.617

.558

2.064

2.100

2.145

2.151

2.296

2.114

2.108

2.159

1.939

1.971

FRAC

DIFF

-. 423

-. 371 -. 318

-1.321

-1.149

-. 858 -. 770 -. 648

-1.077

-. 963 -. 817

-. 815 -. 188 -. 271 -. 257

-. 203

-. 515 -. 479 -. 469 -. 342 -. 309 -. 510 -. 428 -. 328 -. 290 -. 762 -. 608

-. 556 -. 509

-. 440 -. 878 -. 693 -. 651 -. 593

-. 310

-. 338 -. 093 -. 947 -. 798

-. 759 -. 694

-1.170

-. 815 -. 730 -. 700

-. 995 -. 863
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix A.4(4)

1986-06-02

RUN

NUM

291

292

294

295

296

297

298

300

301

302

303

305

306

307

309

310

311

312

313

315

316

317

318

320

321

322

323

324

326

327

328

329

330

332

333

334

P

(MPA)

5.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

5.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

G

(KG/M2-S)

1979.0

1980.0

1475.0

1476.0

1473.0

1476.0

1470.0

1000.0

992.0

999.0

1000.0

498.0

497.0

498.0

2542.0

2560.0

2555.0

2551.0

2534.0

1986.0

1992.0

1987.0

1986.0

1499.0

1493.0

1487.0

1490.0

1486.0

1008.0

1006.0

1003.0

1005.0

1004.0

496.0

497.0

498.0

X QEXP

(MW/M2)

.414 1.162

.404 1.216

.503 .870

.500 .917

.498 .969

.491 1.015

.489 1.053

.650 .667

.655 .766

.628 .867

.627 .911

.897 .462

.885 .513

.876 .560

.311 .875

.308 .975

.310 1.019

.312 1.061

.312 1.123

.366 .873

.361 .971

.373 1.058

.381 1.165

.439 .769

.436 .818

.440 .869

.445 .969

.447 1.015

.573 .618

.573 .667

.566 .718

.570 .767

.571 .865

.848 .464

.834 .515

.825 .562

QBIASI

(MW/M2)

1.997

2.063

1.726

1.746

1.763

1.809

1.828

1.353

1.340

1.439

1.442

.605

.676

.728

2.735

2.746

2.735

2.725

2.733

2.691

2.720

2.644

2.591

2.570

2.596

2.574

2.536

2.526

2.159

2.162

2.219

2.186

2.180

1.034

1.148

1.220

FRAC

DIFF

-. 719

-. 696 -. 984

-. 904 -. 819

-. 782 -. 736

-1.029

-. 750 -. 660 -. 583 -. 310 -. 318

-. 301

-2.126

-1.816

-1.684

-1.568

-1.434

-2.083

-1.802

-1.499

-1.224

-2.342

-2.174

-1.962

-1.617

-1.488

-2.494

-2.242

-2.090

-1.850

-1.520

-1.228

-1.229

-1.171

MEAN FRACTIONAL ERROR = -. 608 RMS ERROR = .889
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix B.1(4)

1986-06-02

APPENDIX B

RELAPS INPUT DECK

RELAP5/MOD2/036 RIT PDO-CASE 136

* THIS CASE IS A SIMULATION OF A POST DRY-OUT EXPERIMENT

* CONDUCTED BY K.M. BECKER ET AL. IN THE NUCLEAR ENGINEERING

* LABORATORY AT THE ROYAL INTITUTE OF TECHNOLOGY (RIT) IN

* STOCKHOLM AND IS REPORTED IN REF (1). THE TEST SECTION

* COMPRISED A SEVEN METER LONG HEATED VERTICAL PIPE WITH WALL

* THERMOCOUPLES LOCATED THROUGHOUT THE HEATED LENGTH. THE

* INNER DIAMETER WAS 0.0149 M.

* THE EXPERIMENT WAS RUN WITH TIME-INVARIANT BOUNDARY CONDITIO

* WITH AN UNIFORM AXIAL POWER DISTRIBUTION AND THE DATA WERE

* RECORDED WHEN THE CONDITIONS IN THE TEST SECTION WERE STABLE

* THE CONSTANT BOUNDARY CONDITIONS FOR THE CASE NUMBER 136 WER

* OUTLET PRESSURE 13.99 MPA

* MASSFLUX 1976.6 KG/M2/S

* INLET TEMPERATURE 599.65 K

* HEAT FLUX 0.509 MW/M2

, THE TEST SECTION WAS MODELED AS A PIPE COMPONENT WITH 47

* VOLUMES. THE HEATED WALL WAS MODELED BY USING CONDUCTING

* MATERIAL WITH A CYLINDRICAL GEOMETRY INCLUDING TWO MESH

* POINTS, ONE ON EACH SURFACE. THE INNER SURFACE WAS CONNECTED

* TO THE HYDRO-DYNAMIC PIPE VOLUMES THROUGH THE HEAT TRANSFER , PACKAGE WHILE THE OUTER SURFACE WAS ASSUMED COMPLETELY INSUL

* CHECKING OF HEAT BALANCE WAS PART OF THE EXPERIMENTAL ROUTIN

* AND REVEALED AN INSIGNIFICANT LEVEL OF HEAT LOSSES TO THE , AMBIENT THUS JUSTIFYING THE ASSUMPTION OF THE INSULATED OUTE

* SURFACE. *

* REFERENCE I K.M. BECKER ET AL.

* AN EXPERIMENTAL INVESTIGATION OF POST DRYOUT

* HEAT TRANSFER

* KTH-NEL-33

* DEPARTMENT OF NUCLEAR REACTOR ENGINEERING

* ROYAL INSTITUTE OF TECHNOLOGY

* STOCKHOLM, SWEDEN

* MAY 1983

0000100 NEW STDY-ST

0000101 RUN

* CPU TIME REMAINING CARD

0000105 10.0 20.0

* TIME STEP CONTROL CARDS

* TIME-END DT-MIN DT-MAX SSDXX MIN-EDIT MAJ-EDIT RESTART

0000201 20.0 1.OE-6 0.0025 00011 80 2000 4000

* m mMm m m...m.m

NS

E:

ATED.

E

R

*

*

*

0000301

*

MINOR EDIT REQUESTS

CPUTIME 0 * CPU-TIME

* ***** HYDRODYNAMIC COMPONENTS *****
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix B.2(4)

1986-06-02

1000000

1000001

1000101

1000301

1000302

1000303

1000304

1000305

1000601

*

1000801

1001001

1001101

1001201

1001300

1001301

*

11000000

*

11000100

11000101

11000201

11000301

11000400

1

11000101

THE HEATED PIPE IS MODELED AS A PI1

HOT-CHA PIPE

NVOL

47

AREA NVOL

1.74366E-04 47

LENGTH NVOL

0.750 1

0.500 5

0.250 6

0.100 45

0.050 47

V-ANGLE NVOL

90.0 47

ROUGH D-HYD NVOL

20.OE-06 0.0149 47

PIPE VOLUME CONTROL FLAGS

FE NVOL

00 47

PIPE JUNCTION CONTROL FLAGS

VCAHS NVOL-1

31000 46

PIPE VOLUME INITIAL CONDITIONS

EBT PRESSURE TEMP. DUMMY1

003 13.99E+06 599.65 0.0

PIPE JUNCTION DATA

CTRL-WRD

1

INITIAL COND.

FLOW-F FLOW-G FLOW-FG NJ

3.4465E-1 0.0 0.0 46

* HEAT STRUCTURE DATA * *

NH NP TYPE SS-FL LCOORD

47 2 2 1 7.45E-03

LOC FMT

0 1

NINT - RCOORD

1 1.04E-02

COMPOSITION - INTERVAL

1 1

SOURCE - INTERVAL

1.0 1

TFLG

O0

INITEMP FOR EACH HEAT-STR.

INITEMP MESH

599.65 2

PE COMPONENT NR 100

DUMMY2 DUMvY3 NVOL

0.0 0.0 47

UNC
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix B.3(4)

1986-06-02

* BNDVOL INCR BNDCON SAC FACTOR HSNR

11000501 100010000 010000 1 1 0.750 1 * LEFT

11000502 100020000 010000 1 1 0.500 5 * LEFT

11000503 100060000 010000 1 1 0.250 6 * LEFT

11000504 100070000 010000 1 1 0.100 45 * LEFT

11000505 100460000 010000 1 1 0.050 47 * LEFT

11000601 0 0 0 1 0.750 1 * RIGHT

11000602 0 0 0 1 0.500 5 * RIGHT

11000603 0 0 0 1 0.250 6 * RIGHT

11000604 0 0 0 1 0.100 45 * RIGHT

11000605 0 0 0 1 0.050 47 * RIGHT

* SRCTYP MULT DHL DHR HSNR

11000701 1 0.750 0.0 0.0 1

11000702 1 0.500 0.0 0.0 5

11000703 1 0.250 0.0 0.0 6

11000704 1 0.100 0.0 0.0 45

11000705 1 0.050 0.0 0.0 47

CHF DE DH LENGTH HSNR

11000801 0 0.0 0.0 0.0 47

* HEAT STRUCTURE TH. PROP. COMPOSITION IS NIMONIC 75

MATERIAL-TYPE FOR-FLG1 FOR-FLG2

20100100 TBL/FCTN 1 1

TEMP. TH.COND.

20100101 270.0 12.0

20100102 5000.0 93.4

*VOL.HEAT-CAP.

20100151 4.OE+06

*GENERAL TABLE FOR HEAT STRUCTURE POWER (SRCTYP 1)

* TBL-TYPE TRIP FACTOR-T FACTOR-P

20200100 POWER 0 1.0 1.0

TIME LINEAR POWER (W/M)

20200101 0.0 0.0

20200102 10.0 23.8262E+03

20200103 20.0 23.8262E+03

* * * END OF HEAT STRUCTURE DATA *

*LOWER BOUNDARY CONDITION

* TMDPVOL - COMPONENT 200

* TMDPJUN - COMPONENT 250

2000000 LO-BNDRY TMDPVOL *

AREA LENGTH VOL. H-ANGLE V-ANGLE ELEV. ROUGH D-HYD FE

2000101 1.0 1.0 0.0 0.0 90.0 1.0 0.0 1.0 10

* EBT TBL-NR

2000200 003 0

TIME PRESSURE TEMP.

2000201 0.0 13.99E+06 599.65 *

*

2500000 LO-FLOW TMDPJUN

* FROM-CODE TO-CODE AREA

2500101 200000000 100000000 0.0 *
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix B.4(4)

1986-06-02

* CTRL-WRD

2500200 1

TIME FLOW-F FLOW-G FLOW-FG

2500201 0.0 3.4465E-1 0.0 0.0 *

* UPPER BOUNDARY CONDITION *

*TMDPVOL - COMPONENT 300

*SNGLJUN - COMPONENT 350 *

3000000 UP-BNDRY TMDPVOL

* AREA LENGTH VOL. H-ANGLE V-ANGLE ELEV. ROUGH D-HYD FE

3000101 1.0 1.0 0.0 0.0 90.0 1.0 0.0 1.0 10

EBT TBL-NR

3000200 003 0

TIME PRESSURE TEMP.

3000201 0.0 13.99E+06 700.0

*

3500000 UP-FLOW SNGLJUN

FROM-CODE TO-CODE AREA F-LOSS R-LOSS VCAHS DIS-COEFFS.

3500101 100010000 300000000 0.0 0.0 0.0 31100 0.0 0.0 *

CW FLOW-F FLOW-G FLOW-FG

3500201 1 3.4465E-1 0.0 0.0

END OF CASE
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix C.1(10)

1986-06-02

APPENDIX C

AXIAL TEMPERATURE DISTRIBUTION - MEASURED AND RELAP5

RUN NUMBER 136 RUN NUMBER 139

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.40

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

TEX(K)

611.16

611.36

611.66

609.66

610.56

610.36

609.86

610.76

610.46

610.06

608.36

608.86

608.36

608.26

608.96

608.86

608.46

607.96

606.66

608.96

608.26

608.86

608.86

608.86

609.26

609.36

609.36

607.26

608.46

609.86

608.96

609.36

609.36

609.96

609.56

610.06

607.16

610.56

658.46

706.86

718.16

723.56

725.46

726.36

729.06

727.36

727.76

728.86

727.16

724.26

722.66

721.46

717.06

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

614.34

614.57

614.65

614.85

615.14

615.25

615.28

615.34

615.39

615.44

615.49

615.54

615.58

615.63

615.68

615.72

615.77

615.81

615.86

615.90

615.94

615.98

616.02

616.06

616.10

616.14

616.19

616.21

616.30

616.45

616.56

616.65

721 .70

725.77

729.22

732.24

734.68

736.48

737.66

737.81

737.35

736.60

735.65

734.41

733.40

731.97

731.79

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

TEX(K)

611.26

610.86

611.06

609.06

610.06

609.86

609.36

610.16

609.26

609.56

607.76

608.26

625.76

856.26

885.76

884.46

881.56

886.06

885.36

901.06

897.36

899.76

895.46

891.16

886.66

881.26

873.26

855.26

848.06

838.56

827.96

818.26

809.66

800.76

793.26

775.46

768.46

759.86

751.16

744.46

738.46

730.16

726.86

720.16

716.96

715.06

710.26

705.46

702,56

698.36

693.26

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

615.95

616.04

616.61

617.18

617.79

943.26

958.00

978.04

996.51

1013.10

1024.00

1023.60

1010.00

983.76

948.61

921.78

901.36

884.37

870.19

858.12

847.57

838.25

829.96

822.52

815.79

809.64

804.00

798.79

793.93

789.38

785.12

781.13

777.38

773.85

770.52

767.38

764.40

761.58

758.91

756.37

753.96

751.65

749.51

747.32

745.72

743.70

743.95
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix C.2(10)

1986-06-02

RUN NUMBER 147 RUN NUMBER 154

ZEX(M)

.05

.25

.50

.75

1 .00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

6.90

6.95

TEX(K)

610.96

611.26

611.46

609.46

610.46

610.26

609.76

610.56

610.36

609.96

608.16

609.96

815.26

894.46

913.56

906.66

902.66

906.46

899.66

911.76

905.46

904.26

899.36

894.46

889.36

882.76

875.36

858.06

851.46

842.06

832.66

823.56

816.76

808.56

801.76

785.76

779.36

771.46

762.76

756.76

745.86

742.46

739.76

733.06

730.46

727.36

723.16

719.66

716.16

712.56

706.86

721.46

717.06

ZRS(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

615.80

616.18

616.90

617.65

618.60

889.51

894.62

893.44

890.83

887.26

882.38

876.76

870.75

864.56

858 .32

852.14

846.07

840.18

834.50

829.05

823.83

818.86

814.13

809.63

805.36

801.31

797.47

793.84

790.40

787.15

784.07

781.16

778.40

775.80

773.34

771.02

768.83

766.76

764.81

762.97

761.25

759.62

758.14

756.60

755.66

753.88

754.57

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

6.95

TEX(K)

611.66

611.26

611.56

610.16

611.06

610.26

609.76

611.26

610.36

610.56

608.86

608.76

608.86

608.16

673.46

774.36

812.66

831.56

846.36

856.56

868.66

877.16

882.06

884.76

886.16

883.76

874.96

870.26

862.76

855.86

848.56

843.06

836.76

831.16

817.76

812.66

806.66

799.26

793.76

784.26

782.06

778.86

772.16

769.66

766.46

762.36

758.26

754.16

751.16

745.56

693.26

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

615.00

615.59

616.37

617.49

618.97

619.73

792.17

805.10

817.32

823.62

827.81

829.71

830.29

829.89

828.58

826.67

824.38

821.82

819.08

816.24

813.34

810.43

807.57

804.78

802.08

799.49

797.00

794.64

792.39

790.25

788.23

786.34

784.56

782.89

781.34

779.90

778.57

777.35

776.24

775.23

774.34

773.52

772.87

772.15

772.05

770.64

771.73
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix C.3(10)

1986-06-02

RUN NUMBER 161 RUN NUMBER 221

ZEX(M)

.05

.25

.50

.75

1 .00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

6.95

6.90

6.95

TEX(K)

611.16

611.46

611.66

610.36

611.86

611.06

610.56

611.36

611.16

611.36

612.76

613.16

630.36

796.16

817.86

832.16

844.96

854.06

869.46

871.16

877.76

881.96

884.36

887.16

890.26

891.46

894.86

897.36

897.76

897.46

897.46

898.66

897.76

898.86

895.66

896.06

894.86

892.96

891.16

893.06

888.46

888.86

885.86

887.56

886.76

886.86

887.66

887.16

889.06

883.46

706.86

721.46

717.06

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5 (K)

614.55

615.34

616.65

618.80

619.08

803.64

808.60

817.49

824.34

829.69

833.86

837.05

839.45

841.18

842.39

843.20

843.72

844.03

844.20

844.29

844.33

844.37

844.47

844.66

844.86

845.12

845.51

846.06

846.75

847.62

848.66

849. 88

851.19

852.57

854.10

855.81

857.72

859.81

862.11

864.60

867.31

870.21

873.22

876.14

879.66

880.02

882.65

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.40

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

TEX(K)

589.06

589.26

589.56

588.16

589.06

588.86

587.76

588.56

588.36

587.96

589.36

589.86

589.26

586.66

587.46

587.36

586.96

587.06

587.56

589.26

587.36

587.36

587.96

589.16

588.36

588.46

589.06

588.76

588.76

588.96

589.26

588.46

589.06

589.06

586.86

584.26

581.26

584.76

589.46

635.66

695.36

745.76

753.26

762.56

769.66

770.26

771.36

773.06

771.96

767.86

767.96

768.66

761.16

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5 (K)

591.42

591.71

592.40

593.03

593.61

593.79

593.82

593.90

593.99

594.16

594.36

594.53

594.68

594.81

594.91

595.01

595.11

595.21

595.31

595.41

595.51

595.40

595.29

595.18

595.08

594.97

594.87

594.77

594.68

594.58

594.49

758.36

765.50

770.52

773.95

775.96

776.90

777.05

776.57

775.55

774.16

772.48

770.69

768.52

766.98

764.54

764.62
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix C.4(10)

1986-06-02

RUN NUMBER 224 RUN NUMBER 232

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

6.95

TEX(K)

589.26

589.56

589.76

587.76 588.76

588.46

588.06

588.86

587.96

588.26

589.56

590.06

588.96

585.06

586.46

586.96

585.96

586.66

587.26

588.96

586.96

586.96

587.56

585.06

584.16

603.66

729.36

825.06

849.66

857.76

862.46

861.06

861.06

860.96

857.56

855.56

846.86

841.66

836.16

828.06

821.86

812.16

808.16

804.76

798.06

794.86

789.86

784.96

777.16

773.56

768.06

758.06

717.06

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

592.80

593.56

594.58

595.60

596.80

597.33

597.40

597.61

597.82

598.04

598.26

598.41

598.25

598.09

597.95

597.80

597.66

597.52

826.80

837.48

844.57

848.67

850.54

850.68

849.58

847.56

844.77

841.49

837.93

834.18

830.35

826.49

822.64

818.85

815.14

811 .52

808.00

804.60

801.31

798.14

795.09

792.13

789.38

786.46

784.49

781.47

782.02

ZEX(M) .05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

6.95

TEX(K)

588.56

588.76

589.06

587.06

588.66

587.76

587.26

588.16

587.86

588.16

589.46

589.36

588.26

584.36

585.76

585.56

583.96

580.96

579.66

581.96

581.26

581.86

582.46

584.36

592.16

657.76

824.66

832.96

854.36

861.86

868.36

868.06

868.76

869.26

867.16

865.76

858.26

853.76

848.26

841.46

836.56

827.46

823.46

820.16

814.66

811.46

807.66

802.86

796.26

792.16

786.76

776.76

761.16

ZR5(M) .38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

592.23

593.34

594.50

596.03

597.91

598.59

598.62

598.45

598.29

598.14

597.99

597.84

597.70

597.57

597.43

597.30

597.18

813.70

825.43

833.91

839.67

843.17

844.97

845.36

844.65

843.20

841.19

838.76

836.02

833.10

830.09

827.03

823.97

820.94

817.97

815.08

812.27

809.55

806.93

804.42

802.01

799.68

797.55

795.22

793.85

791.09

791.98
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix C.5(10)

1986-06-02

RUN NUMBER 238 RUN NUMBER 244

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

6.95

6.95

TEX(K)

588.36

588.66

588.86

587.46

588.46

588.26

587.76

587.96

588.36

587.96

589.26

589.16

588.66

584.86

585.56

583.56

582.66

582.16

583.06

582.96

583.56

583.56

584.26

583.96

584.06

584.76

583.86

583.86

583.96

586.76

704.26

783.46

800.96

812.16

821.06

831.86

837.06

837.66

837.56

838.16

834.66

836.06

837.06

835.26

834.56

833.76

832.06

828.56

825.66

823.96

815.86

758.06

717.06

ZRS(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TRS(K)

591.03

592.03

593.21

594.71

596.64

596.96

596.82

596.74

596.66

596.58

596.50

596.42

596.34

596.27

596.19

596.11

596.04

595.97

595.89

595.82

595.75

595.66

595.57

595.49

760.30

770.74

779.42

786.47

792.11

796.56

799.89

802.34

804.04

805.11

805.72

805.94

805.84

805.50

805.00

804.35

803.60

802.75

801.96

800.87

800.63

798.47

799.69

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.40

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

TEX(K)

589.06

589.36

589.56

588.86

589.16

588.36

587.26

587.46

587.86

588.06

588.76

588.66

588.76

584.96

584.46

584.36

583.-36

583.46

578.46

583.86

583.76

583.76

584.96

584.36

584.76

584.86

584.86

583.96

583.96

584.06

584.46

584.26

584.86

684.96

747.56

767.86

775.86

793.56

804.76

811.96

818.36

825.56

831.16

834.96

842.56

846.76

852.06

856.66

861.56

865.96

869.06

872.16

867.16

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

590.25

591.47

593.06

594.69

594.78

594.75

594.69

594.66

594.63

594.59

594.56

594.53

594.50

594.47

594.44

594.41

594.38

594.36

594.33

594.31

594.28

594.26

594.24

594.22

594.21

594.19

731.46

742.86

753.80

764.28

774.28

783.79

792.79

801.28

809.28

816.79

823.82

830.39

836.54

842.30

847.72

852.80

857.67

862.10

866.94

867.59

870.69
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix C.6(10)

1986-06-02

RUN NUMBER 259 RUN NUMBER 261

ZEX(M) .05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.40

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

TEX(K)

566.66

567.56

567.86

565.16

566.16

565.26

564.76

565.66

564.76

564.96

566.96

566.86

566.36

563.06

563.86

564.36

562.66

562.16

563.36

563.86

562.46

562.46

562.46

559.96

559.66

558.56

558.56

558.96

557.66

557.76

558.16

558.56

558.56

559.16

558.76

558.66

556.96

557.26

557.06

557.06

556.86

558.16

561 .36

573.06

580.26

624.56

754.96

772.06

778.36

779.76

785.36

786.66

779.76

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6 45

6.55

6 65

6.75

6.85

6.93

6.98

TR5(K)

569.80

571.26

572.69

574.24

575.69

575.42

574.97

574.74

574.52

574.31

574.10

573.90

573.71

573.52

573.33

573.15

572.98

572.81

572.64

572.47

572.31

572.16

572.00

571.85

571.70

571.55

571.41

571.27

571.13

570.99

570.86

570.73

570.60

570.47

570.34

570.21

778.09

786.50

792.79

797.06

799.82

801.42

802.23

802.01

802.06

799.53

800.78

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

6.95

TEX(K)

567.86

568.76

569.06

565.66

566.66

565.76

565.36

566.16

565.26

565.56

568.16

568.06

566.86

562.96

564.36

564.86

562.56

562.06

563.86

564.36

562.96

562.96

562.36

559.76

559.56

557.76

558.36

556.86

558.76

577.26

595.86

734.46

845.16

859.36

867.16

872.66

873.76

872.86

868.56

862.76

857.16

854.06

846.96

843.06

836.86

832.96

829.06

822.96

813.16

812.06

805.96

793.96

867.16

ZR5(M) .38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

571.94

573.87

576.12

578.65

578.60

577.44

576.94

576.69

576.45

576.22

576.00

575.78

575.57

575.36

575.16

574.96

574.77

574.58

574.40

574.22

574.05

573.88

859.70

871.89

879.78

884.64

887.08

887.47

886.49

884.58

881.99

878.94

875.57

872.00

868.32

864.59

860.83

857.11

853.46

849.89

846.44

843.05

839.90

836.48

834.34

830.35

831.45
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix C.7(10)

1986-06-02

RUN NUMBER 264 RUN NUMBER 270

ZEX(M) TEX(K) ZR5(M). TR5(K) ZEX(M) TEX(K) ZR5(M) TR5(K)

.05 566.96 .38 569.23 .05 566.16 .38 569.13

.25 567.86 1.00 570.87 .25 567.06 1.00 571.13

.50 568.06 1.50 572.66 .50 567.26 1.50 573.71

.75 566.06 2.00 574.75 .75 565.86 2.00 575.49

1.00 5656.36 2.50 575.67 1.00 566.26 2.50 574.81

1.25 566.16 2.88 574.82 1.25 565.36 2.88 574.25

1.50 565.06 3.05 574.39 1.50 564.86 3.05 573.98

1.75 565.86 3.15 574.18 1.75 565.76 3.15 573.84

2.00 565.06 3.25 573.98 2.00 565.46 3.25 573.71

2.25 565.26 3.35 573.79 2.25 565.06 3.35 573.58

2.50 567.26 3.45 573.60 2.50 567.06 3.45 573.45

2.75 567.16 3.55 573.42 2.75 566.96 3.55 573.32

3.00 566.66 3.65 573.24 3.00 567.06 3.65 573.18

3.10 563.36 3.75 573.07 3.10 563.86 3.75 573.03

3.20 564.76 3.85 572.90 3.20 564.56 3.85 572.89

3.30 564.66 3.95 572.74 3.30 565.06 3.95 572.75

3.40 563.66 4.05 572.58 3.40 563.46 4.05 572.61

3.50 562.46 4.15 572.42 3.50 562.96 4.15 572.48

3.60 564.26 4.25 572.27 3.60 564.16 4.25 572.36

3.70 564.16 4.35 572.12 3.70 563.96 4.35 572.23

3.80 562.76 4.45 571.98 3.80 562.56 4.45 572.11

3.90 562.76 4.55 571.84 3.90 563.26 4.55 572.00

4.00 560.86 4.65 571.70 4.00 561.36 4.65 571.88

4.10 560.26 4.75 571.57 4.10 560.76 4.75 571.77

4.20 559.96 4.85 571.43 4.20 560.46 4.85 571.67

4.30 558.86 4.95 571.30 4.30 559.96 4.95 571.57

4.40 559.46 5.05 571.18 4.40 559.96 5.05 571.47

4.50 559.86 5.15 571.05 4.50 560.96 5.15 571.37

4.60 559.26 5.25 570.93 4.60 560.36 5.25 571.28

4.70 559.96 5.35 570.81 4.70 560.46 5.35 571.19

4.80 560.36 5.45 570.70 4.80 560.26 5.45 571.10

4.90 560.06 5.55 570.58 4.90 560.56 5.55 571.01

5.00 559.46 5.65 570.47 5.00 560.56 5.65 570.93

5.10 559.46 5.75 570.36 5.10 559.96 5.75 570.85

5.20 559.06 5.85 570.25 5.20 559.56 5.85 763.48

5.30 558.96 5.95 570.14 5.30 560.06 5.95 775.21

5.40 558.46 6.05 768.60 5.40 558.96 6.05 785.53

5.50 558.86 6.15 778.11 5.50 559.36 6.15 794.55

5.60 558.56 6.25 785.77 5.60 559.06 6.25 802.37

5.70 558.56 6.35 791.64 5.70 559.76 6.35 809.04 /f

5.80 558.46 6.45 796.14 5.80 559.56 6.45 814.79

5.90 559.06 6.55 799.49 5.90 568.36 6.55 819.62

6.00 562.26 6.65 801.82 6.00 734.96 6.65 823.72

6.10 589.46 6.75 803.04 6.10 768.76 6.75 826.92

6.20 684.76 6.85 804.52 6.20 786.86 6.85 830.35

6.30 759.96 6.93 802.73 6.30 798.36 6.93 829.59

6.40 775.76 6.98 804.62 6.40 808.06 6.98 832.31

6.50 786.66 6.50 816.36

6.60 792.26 6.60 821.96

6.70 794.26 6.70 825.16

6.80 799.26 6.80 828.36

6.90 801.16 6.90 830.26

6.95 794.86 6.95 824.56
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix C.8(10)

1986-06-02

RUN NUMBER 272 RUN NUMBER 275

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.50

5'.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6;60

6.'70

6.80

6.90

6.95

6.95

TEX(K)

567.56

567.76

568.06

566.06

566.96

566.06

564.96

565.86

565.56

565.26

567.86

567.76

567.16

563.96

564.66

565.16

562.96

562.46

564.26

564.66

562.66

563.26

560.76

560.16

559.86

559.46

558.76

559.16

571.06

788.06

843.66

863.66

880.26

891.86

899.56

906.86

911.66

912.06

910.76

908.16

905.76

906.96

901.76

901.56

899.06

898.96

897.06

895.26

892.26

889.96

885.76

876.96

794.86

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

571.25

574.58

578.43

577.69

576.88

576.20

575.82

575.63

575.44

575.27

575.10

574.93

574.77

574.62

574.47

574.33

574.20

574.07

573.94

573.82

573.71

833.64

850.89

865.56

877.67

887.66

895.66

901.92

906.77

910.47

913.26

915.29

916.74

917.77

918.42

918.84

919.06

919.16

919.17

919.16

919.15

919.13

919.27

919.14

920.09

917.75

919.99

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.40

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

TEX(K)

565.16

566.06

566.26

564.96

565.26

565.06

564.56

564.76

565.16

564.76

566.76

566.66

566.76

564.16

564.86

564.76

563.16

562.66

563.76

563.66

562.26

562.86

561.06

561.06

561.46

561.56

560.96

561.26

561.26

560.76

560.56

560.96

560.96

560.86

560.56

561.06

561.16

560.36

560.66

560.66

561.16

561.76

562.46

562.16

562.56

563.76

565.56

570.96

695.56

728.06

744.36

757.66

759.26

ZR5SM) .38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5 (K) 566.88

568.57

570.60

571.07

571.02

570.83

570.71

570.65

570.59

570.53

570.48

570.42

570.36

570.30

570.25

570.20

570.14

570.09

570.04

569.99

569.95

569.90

569.86

569.82

569.78

569.74

569.70

569.67

569.64

569.61

569.59

569.57

569.55

569.54

569.53

569.53

569.53

569.54

569.56

569.59

722.56

733.79

744.91

755.76

766.45

770.56

775.82
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix C.9(Io)

1986-06-02

RUN NUMBER 315 RUN NUMBER 320

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.40

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.80

6.90

6.95

6.95

TEX(K)

522.86

525.66

525.96

521.96

521.76

518.86

517.76

517.96

517.06

517.36

518.76

517.96

516.86

514.16

514.86

515.46

513.06

512.56

514.36

513.66

510.26

512.86

514.16

514.76

513.86

513.36

509.56

511.16

509.26

509.36

509.16

508.26

508.26

508.86

507.26

507.76

507.86

507.56

506.66

507.36

507.26

508.46

517.46

625.36

780.96

801.26

812.86

825.66

828.86

833.46

832.26

819.16

794.86

ZR5 (M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

526.12

529.00

531.36

531.84

529.62

528.01

527.30

526.94

526.61

526.28

525.96

525.65

525.34

525.04

524.75

524.45

524.17

523.88

523.61

523.33

523.05

522.78

522.51

522.24

521.98

521.71

521.45

521.19

520.92

520.66

520.40

520.14

519.88

519.61

519.35

871.97

879.85

883.76

885.07

884.48

882.55

879.66

876.39

872.19

869.34

863.65

864.33

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6 .20

6.30

6 .40

6.50

6.60

6.80

6.90

6.95

6.95

TEX(K)

523.36

524.86

525.16

521.86

521.56

519.46

518.26

519.16

518.26

518.56

519.26

518.56

517.36

515.36

516.06

516.56

514.96

513.76

516.26

514.86

511 .56

514.06

515.36

515.36

514.46

513.96

510.06

511.16

509.16

509.96

509.76

509.46

509.46

510.06

508.46

509.56

509.76

509.46

508.56

509.26

509.06

509.06

511.66

535.56

657.16

788.16

807.06

822.26

829.06

837.26

841.66

832.26

759.26

ZRS(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

524.86

528.04

530.79

528.96

527.21

525.78

525.15

524.83

524.54

524.25

523.97

523.69

523.42

523.16

522.90

522.65

522.40

522.16

521.92

521.68

521.44

521.21

520.98

520.75

520.53

520.31

520.09

519.87

519.65

519.43

519.21

519.00

518.78

518.57

518.36

518.14

850.08

859.99

866.30

870.04

871.73

871.90

871.25

869.30

868.24

863.59

864.94
STUDSVIK ENERGITEKNIK AB STUDSVIK/NP-86/66 Appendix C.10(10)

1986-06-02

RUN NUMBER 327 RUN NUMBER 332

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.40

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

TEX(K)

524.46

525.96

525.56

523.56

523.26

520.56

520.06

520.86

520.06

520.26

521.06

519.66

518.46

516.46

517.16

517.76

516.06

515.56

517.36

516.56

515.16

515.76

516.46

516.46

516.16

516.36

516.36

516.66

515.46

514.96

514.66

514.46

514.46

515.06

515.26

514.56

514.06

513.76

513.56

511.66

510.26

508.96

512.16

575.96

754.46

790.36

809.16

826.06

834.06

838.46

846.46

853.86

846.96

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.1"5

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

524.06

527.73

528.09

526.63

525.22

524.15

523.66

523.41

523.15

522.91

522.67

522.44

522.21

521.99

521.77

521.56

521.36

521.16

520.96

520.77

520.58

520.39

520.21

520.03

519.85

519.68

519.51

519.34

519.17

519.01

518.84

518.68

518.53

518.37

518.22

518.06

834.16

847.25

857.47

865.17

870.94

875.02

878.02

879.46

881.38

878.50

880.91

ZEX(M)

.05

.25

.50

.75

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

3.10

3.20

3.30

3.40

3.50

3.60

3.70

3.80

3.90

4.00

4.10

4.20

4.30

4.40

4.50

4.60

4.70

4.80

4.90

5.00

5.10

5.20

5.30

5.40

5.50

5.60

5.70

5.80

5.90

6.00

6.10

6.20

6.30

6.40

6.50

6.60

6.70

6.80

6.90

6.95

TEX(K)

520.06

521.56

521.26

517.36

515.86

514.26

514.46

514.06

514.46

514.06

519.16

518.46

518.56

516.56

515.46

514.66

513.06

511.26

513.06

511.66

510.26

512.16

514.06

512.76

511.86

512.06

512.06

513.06

511.76

511.26

511.66

511.36

512.06

512.66

511.66

512.16

512.26

512.66

511.76

513.06

511.06

511.06

512.36

513.26

514.96

613.36

745.66

772.66

788.36

803.56

816.26

826.56

824.56

ZR5(M)

.38

1.00

1.50

2.00

2.50

2.88

3.05

3.15

3.25

3.35

3.45

3.55

3.65

3.75

3.85

3.95

4.05

4.15

4.25

4.35

4.45

4.55

4.65

4.75

4.85

4.95

5.05

5.15

5.25

5.35

5.45

5.55

5.65

5.75

5.85

5.95

6.05

6.15

6.25

6.35

6.45

6.55

6.65

6.75

6.85

6.93

6.98

TR5(K)

520.69

522.84

522.80

522.35

521.55

520.90

520.60

520.46

520.32

520.18

520.05

519.92

519.80

519.67

519.55

519.44

519.32

519.21

519.10

519.00

518.90

518.80

518.71

518.62

518.53

518.45

518.37

518.29

518.22

518.15

518.09

518.03

517.97

517.92

517.88

517.85

517.82

517.79

793.62

809.70

824.47

837.99

850.38

861.56

872.15

874.69

879.91
NRC FORM 2X US NUCLEAR PIGULATOOV COMMISSION 1 *jýiE 47 NUMBER IAuw'f"br TIOC ~ b'' Io. ,VoVlh

12441

W R CJ 1102.

320. BIBLIOGRAPHIC DATA SHEET NUREG/IA-0009

SEE INSTRUCTIONS ON THE REVERSE STUDSVIK/NP-86 /66

2 TITLE AND SUBTITLE 3 LE.A4E BLANK

Assessment of RELAP5/MOD2, Against Twenty Five Dryout

Experiments Conducted at the Royal Institute Technology 'DATE REPORT COMPLETED

June MONTH I 1986I EAR

5 AUTHORISI

A. Sj~berg, D. Caraher 6 DATE REPORT ISSUED

0C OM.TH I Y EAR

October I 1986

7. PERFORMING ORGANIZATION NAME AND MAILING ADDRESS (IncivoZ, C&*1 8 Pv.,JECT'TASK'WORK UNIT NUMBER

Swe'dish Nuclear Power Inspectorate

Box 27106 9 FirORGRANT NUMBER

S-102 52 Stockholm, Sweden

10 SPONSORING ORGANIZATION NAME AND MAILING ADDRESS Ilncl.ot Zip Code) I Is -- PE Or REPORT

Office of Nuclear Regulatory Research Technical Report

U. S. Nuclear Regulatory Commission

Washington, D. C. 20555 b PE4.OD COVERED (In... cl.,m

12 SUPPLEMENTARY NOTES

13. ABSTRACT (200 wo.o,MU vr 1

RELAP5/MOD2 simulations of post-dryout heat transfer in a 7 m long, 1.5 cm diameter

heated tube are reported. The Biasi critical heat flux correlation is shown to be

inadequate for predicting the experimental dryout. RELAP5 accurately predicted the

measured temperatures downstream of the dryout once it was forced to predict dryout

at the experimentally measured location.

14 DOCUMENT ANALYSIS- a KEYMORDS'DESCRIPTORS IS AVAILABILITY

STATEMENT

RELAP5/MOD2, Post-dryout heat transfer, ICAP Program Unlimited

16 SECURITYCLASSIFICATION

(T'i,, pop•,'

b IDENTIFIEASIOPEN-ENDEC TERMS Unclassified

IthA, 0001,

Unclassified

17 NVMBER OF PAGES

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