NATL INST. OF STAND S TECH R. X

AlllOM mi71b

N1ST

PUBLICATION

ff" NisrUnited States Department of Commerce

Technology Administration

National Institute of Standards and Technology

NIST Technical Note 1367

Flow Conditioner Tests for

Three Orifice Flowmeter Sizes

J.L. Scott

M.A. Lewis

QC

100

.U5753

NO. 1367

1994

NIST Technical Note 1367

Flow Conditioner Tests for

Three Orifice Flowmeter Sizes

J. L Scott

M.A. Lewis

Process Measurements Division

Chemical Science and Technology Laboratory

National Institute of Standards and Technology

325 Broadway

Boulder, Colorado 80303-3328

May 1994

*rATes o*

U.S. DEPARTMENT OF COMMERCE, Ronald H. Brown, Secretary

TECHNOLOGY ADMINISTRATION, Mary L. Good, Under Secretary for Technology

NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY, Arati Prabhakar, Director
National Institute of Standards and Technology Technical Note

Natl. Inst. Stand. Technol., Tech. Note 1367, 88 pages (May 1994)

CODEN:NTNOEF

U.S. GOVERNMENT PRINTING OFFICE

WASHINGTON: 1994

For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, DC 20402-9325
TABLE OF CONTENTS

LIST OF FIGURES iv

LIST OF TAELES vii

1. INTRODUCTION 1

2. SYSTEM DESCRIPTION 4

3. TESTS AND RESULTS 6

3.1 52 mm (2 in) Orifice Meter 6

3.1.1 Baseline (52 mm) 6

3.1.2 No Flow Conditioner (52 mm) 8

3.1.3 Flow Conditioner Tests (52 mm) 9

3.1.3.1 7 Tube Bundle Flow Conditioner (IT3) 9

3.1.3.2 19 Tube Bundle Flow Conditioner (IT8) 10

3.2 104 mm (4 in) Orifice Meter 10

3.2.1 No Flow Conditioner (104 mm) 10

3.2.2 Flow Conditioner Tests (104 mm) 11

3.3 154 mm (6 in) Orifice Meter 12

3.3.1 Baseline (154 mm) 12

3.3.2 Flow Conditioner Tests (154 mm) 12

4. CONCLUSIONS AND RECOMMENDATIONS 13

4.1 Conclusions 13

4.2 Synopsis of Results from the NIST Flow Facility 14

4.3 Recommendations 14

5. ACKNOWLEDGEMENTS 14

6. REFERENCES 15

m
LIST OF FIGURES

Page

Figure 1. Baseline configuration. 16

Figure 2. In-line, 19 and 7 tube bundle flow conditioners. 16

Figure 3. Flanged, Sprenkle flow conditioner. 17

Figure 4. Flange pressure tap location code. 17

Figure 5. Discharge coefficient vs. Reynolds number for the 0.24 beta ratio

plate, oversize Sprenkle at 44D, and 4 flange tap locations. 18

Figure 6. Discharge coefficient vs. Reynolds number for the 0.40 beta ratio

plate, oversize Sprenkle at 44D, and 4 flange tap locations. 18

Figure 7. Discharge coefficient vs. Reynolds number for the 0.48 beta ratio

plate, oversize Sprenkle at 44D, and 4 flange tap locations. 19

Figure 8. Discharge coefficient vs. Reynolds number for the 0.54 beta ratio

plate, oversize Sprenkle at 44D, and 4 flange tap locations. 19

Figure 9. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio

plate, oversize Sprenkle at 44D, and 4 flange tap locations. 20

Figure 10. Discharge coefficient vs. Reynolds number for the 0.73 beta ratio

plate, oversize Sprenkle at 44D, and 4 flange tap locations. 20

Figure 11. Test configuration, long radius elbow at 17D. 21

Figure 12. Discharge coefficient vs. Reynolds number for the 0.40 beta ratio

plate, elbow at 17D, no flow conditioner, and 4 flange tap

locations. 21

Figure 13. Discharge coefficient vs. Reynolds number for the 0.54 beta ratio

plate, elbow at 17D, no flow conditioner, and 4 flange tap

locations. 22

Figure 14. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio

plate, elbow at 17D, no flow conditioner, and 4 flange tap

locations. 22

Figure 15. Discharge coefficient vs. Reynolds number for the 0.73 beta ratio

plate, elbow at 17D, no flow conditioner, and 4 flange tap

locations. 23

Figure 16. Percent change in discharge coefficient vs. beta ratio with an elbow

at 17D, no flow conditioner, and 4 flange tap locations. 23

Figure 17. Discharge coefficient vs. Reynolds number for the 0.54 beta ratio

plate, elbow at 17D, 7 tube bundle flow conditioner at 7D or 11D,

and 4 flange tap locations. 24

Figure 18. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio

plate, elbow at 17D, 7 tube bundle flow conditioner at 7D or 11D,

and 4 flange tap locations. 24

Figure 19. Discharge coefficient vs. Reynolds number for the 0.73 beta ratio

plate, elbow at 17D, 7 tube bundle flow conditioner at 7D or 12D,

and 4 flange tap locations. 25

Figure 20. Percent change in discharge coefficient vs. beta ratio with an elbow

at 17D, 7 tube bundle flow conditioner at 7D, 11D, or 12D, and 4

flange tap locations. 25

IV
LIST OF FIGURES

Page

Figure 21. Discharge coefficient vs. Reynolds number for the 0.54 beta ratio

plate, elbow at 17D, 19 tube bundle flow conditioner at 7D or 12D,

and 4 flange tap locations. 26

Figure 22. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio

plate, elbow at 17D, 19 tube bundle flow conditioner at 7D or 12D,

and 4 flange tap locations. 26

Figure 23. Discharge coefficient vs. Reynolds number for the 0.73 beta ratio

plate, elbow at 17D, 19 tube bundle flow conditioner at 7D or 12D,

and 4 flange tap locations. 27

Figure 24. Percent change in discharge coefficient vs. beta ratio with an elbow

at 17D, 19 tube bundle flow conditioner at 7D or 12D, and 4 flange

tap locations. 27

Figure 25. Discharge coefficient vs. Reynolds number for the 0.43 beta ratio

plate, elbow at 17D, no flow conditioner, and 2 flange tap

locations. 28

Figure 26. Discharge coefficient vs. Reynolds number for the 0.55 beta ratio

plate, elbow at 17D, no flow conditioner, and 2 flange tap

locations. 28

Figure 27. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio

plate, elbow at 17D, no flow conditioner, and 2 flange tap

locations. 29

Figure 28. Discharge coefficient vs. Reynolds number for the 0.73 beta ratio

plate, elbow at 17D, no flow conditioner, and 2 flange tap

locations. 29

Figure 29. Percent change in discharge coefficient vs. beta ratio with an elbow

at 17D, no flow conditioner, and 2 flange tap locations. 30

Figure 30. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio

plate, elbow at 17D, 7 tube bundle flow conditioner at 7D or 12D,

and 2 flange tap locations. 30

Figure 31. Percent change in discharge coefficient vs. flow conditioner location

with an elbow at 17D, 7 or 19 tube bundle flow conditioner, and 2

flange tap locations. 31

Figure 32. Discharge coefficient vs. Reynolds number for the 0.73 beta ratio

plate, elbow at 17D, 7 tube bundle flow conditioner at 7D or 12D,

and 2 flange tap locations. 31

Figure 33. Percent change in discharge coefficient vs. flow conditioner location

with an elbow at 17D, 7 or 19 tube bundle flow conditioner, and 2

flange tap locations. 32

Figure 34. Discharge coefficient vs. Reynolds number for the 0.37 beta ratio

plate, oversize Sprenkle at 44D, and 2 flange tap locations. 32

Figure 35. Discharge coefficient vs. Reynolds number for the 0.57 beta ratio

plate, oversize Sprenkle at 44D, and 2 flange tap locations. 33
LIST OF FIGURES

Page

Figure 36. Test configuration, tee at 18D. 33

Figure 37. Discharge coefficient vs. Reynolds number for the 0.37 beta ratio

plate, tee at 18D, 19 tube bundle flow conditioner at 7D or 12D,

and 2 flange tap locations. 34

Figure 38. Percent change in discharge coefficient vs. flow conditioner location

with a tee at 18D, 19 tube bundle flow conditioner at 7D or 12D,

and 2 flange tap locations. 34

Figure 39. Discharge coefficient vs. Reynolds number for the 0.57 beta ratio

plate, tee at 18D, 19 tube bundle flow conditioner at 7D or 12D,

and 2 flange tap locations. 35

Figure 40. Percent change in discharge coefficient vs.flow conditioner location

with a tee at 18D, 19 tube bundle flow conditioner at 7D or 12D,

and 2 flange tap locations. 35

VI
LIST OF TABLES

Table 1. Flow conditioner codes, descriptions, and measurements.

Table 2. Cross reference chart.

Table 3. Pressure differential ranges.

Table 4. Measured and calculated quantities for 0.24 beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location A, 52 mm orifice

meter.

Table 5. Measured and calculated quantities for 0.24 beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location B, 52 mm orifice

meter.

Table 6. Measured and calculated quantities for 0.24 beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location C, 52 mm orifice

meter.

Table 7. Measured and calculated quantities for 0.24 beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location D, 52 mm orifice

meter.

Table 8. Measured and calculated quantities for 0.40 (2C) beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location A, 52 mm orifice

meter.

Table 9. Measured and calculated quantities for 0.40 (2C) beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location B, 52 mm orifice

meter.

Table 10. Measured and calculated quantities for 0.40 (2C) beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location C, 52 mm orifice

meter.

Table 11. Measured and calculated quantities for 0.40 (2C) beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location D, 52 mm orifice

meter.

Table 12. Measured and calculated quantities for 0.40 (2D) beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location A, 52 mm orifice

meter.

Table 13. Measured and calculated quantities for 0.40 (2D) beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location B, 52 mm orifice

meter.

Table 14. Measured and calculated quantities for 0.40 (2D) beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location C, 52 mm orifice

meter.

Table 15. Measured and calculated quantities for 0.40 (2D) beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location D, 52 mm orifice

meter.

Table 16. Measured and calculated quantities for 0.48 beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location A, 52 mm orifice

meter.

Page

3

4

6

36

36

37

37

38

38

39

39

39

40

40

40

41

vn
LIST OF TABLES

Table 17.

Table 18.

Table 19.

Table 20.

Table 21.

Table 22.

Table 23.

Table 24.

Table 25.

Table 26.

Table 27.

Table 28.

Table 29.

Table 30.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44-

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

Measured and

Sprenkle at 44

meter.

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

calculated quantities

pipe diameters, flange

for 0.48 beta ratio, oversize

tap location B, 52 mm orifice

for 0.48 beta ratio, oversize

tap location C, 52 mm orifice

for 0.48 beta ratio, oversize

tap location D, 52 mm orifice

for 0.54 beta ratio, oversize

tap location A, 52 mm orifice

for 0.54 beta ratio, oversize

tap location B, 52 mm orifice

for 0.54 beta ratio, oversize

tap location C, 52 mm orifice

for 0.54 beta ratio, oversize

tap location D, 52 mm orifice

for 0.67 beta ratio, oversize

tap location A, 52 mm orifice

for 0.67 beta ratio, oversize

tap location B, 52 mm orifice

for 0.67 beta ratio, oversize

tap location C, 52 mm orifice

for 0.67 beta ratio, oversize

tap location D, 52 mm orifice

for 0.73 beta ratio, oversize

tap location A, 52 mm orifice

for 0.73 beta ratio, oversize

tap location B, 52 mm orifice

for 0.73 beta ratio, oversize

tap location C, 52 mm orifice

Page

41

42

42

43

43

43

44

44

44

45

45

46

47

48

vin
LIST OF TABLES

Table 31. Measured and calculated quantities for 0.73 beta ratio, oversize

Sprenkle at 44 pipe diameters, flange tap location D, 52 mm orifice

meter.

Table 32. Measured and calculated quantities for 0.40 (2D) beta ratio, elbow at 17 pipe diameters, no flow conditioner, 4 flange tap locations, 52 mm

orifice meter.

Table 33. Measured and calculated quantities for 0.54 beta ratio, elbow at 17

pipe diameters, no flow conditioner, 4 flange tap locations, 52 mm

orifice meter.

Table 34. Measured and calculated quantities for 0.67 beta ratio, elbow at 17

pipe diameters, no flow conditioner, 4 flange tap locations, 52 mm

orifice meter.

Table 35. Measured and calculated quantities for 0.73 beta ratio, elbow at 17

pipe diameters, no flow conditioner, 4 flange tap locations, 52 mm

orifice meter.

Table 36. Measured and calculated quantities for 0.54 beta ratio, elbow at 17

pipe diameters, 7 tube bundle at 11D, 4 flange tap locations, 52 mm

orifice meter.

Table 37. Measured and calculated quantities for 0.54 beta ratio, elbow at 17

pipe diameters, 7 tube bundle at 7D, 4 flange tap locations, 52 mm

orifice meter.

Table 38. Measured and calculated quantities for 0.67 beta ratio, elbow at 17

pipe diameters, 7 tube bundle at 11D, 4 flange tap locations, 52 mm

orifice meter.

Table 39. Measured and calculated quantities for 0.67 beta ratio, elbow at 17

pipe diameters, 7 tube bundle at 7D, 4 flange tap locations, 52 mm

orifice meter.

Table 40. Measured and calculated quantities for 0.73 beta ratio, elbow at 17

pipe diameters, 7 tube bundle at 12D, 4 flange tap locations, 52 mm

orifice meter.

Table 41. Measured and calculated quantities for 0.73 beta ratio, elbow at 17

pipe diameters, 7 tube bundle at 7D, 4 flange tap locations, 52 mm

orifice meter.

Table 42. Measured and calculated quantities for 0.54 beta ratio, elbow at 17

pipe diameters, 19 tube bundle at 12D, 4 flange tap locations, 52 mm

orifice meter.

Table 43. Measured and calculated quantities for 0.54 beta ratio, elbow at 17

pipe diameters, 19 tube bundle at 7D, 4 flange tap locations, 52 mm

orifice meter.

Table 44. Measured and calculated quantities for 0.67 beta ratio, elbow at 17

pipe diameters, 19 tube bundle at 12D, 4 flange tap locations, 52 mm

orifice meter.

Page

49

50

51

52

53

54

55

55

56

57

58

59

60

61

IX
LIST OF TABLES

Page

Table 45. Measured and calculated quantities for 0.67 beta ratio, elbow at 17

pipe diameters, 19 tube bundle at 7D, 4 flange tap locations, 52 mm

orifice meter. 62

Table 46. Measured and calculated quantities for 0.73 beta ratio, elbow at 17

pipe diameters, 19 tube bundle at 12D, 4 flange tap locations, 52 mm

orifice meter. 63

Table 47. Measured and calculated quantities for 0.73 beta ratio, elbow at 17

pipe diameters, 19 tube bundle at 7D, 4 flange tap locations, 52 mm

orifice meter. 64

Table 48. Measured and calculated quantities for 0.43 beta ratio, elbow at 17

pipe diameters, no flow conditioner, 2 flange tap locations, 104 mm

orifice meter. 64

Table 49. Measured and calculated quantities for 0.55 beta ratio, elbow at 17

pipe diameters, no flow conditioner, 2 flange tap locations, 104 mm

orifice meter. 65

Table 50. Measured and calculated quantities for 0.67 beta ratio, elbow at 17

pipe diameters, no flow conditioner, 2 flange tap locations, 104 mm

orifice meter. 66

Table 51. Measured and calculated quantities for 0.73 beta ratio, elbow at 17

pipe diameters, no flow conditioner, 2 flange tap locations, 104 mm

orifice meter. 67

Table 52. Measured and calculated quantities for 0.67 beta ratio, elbow at 17

pipe diameters, 7 tube bundle at 12D, 2 flange tap locations, 104 mm

orifice meter. 68

Table 53. Measured and calculated quantities for 0.67 beta ratio, elbow at 17

pipe diameters, 7 tube bundle at 7D, 2 flange tap locations, 104 mm

orifice meter. 68

Table 54. Measured and calculated quantities for 0.73 beta ratio, elbow at 17

pipe diameters, 7 tube bundle at 12D, 2 flange tap locations, 104 mm

orifice meter. 69

Table 55. Measured and calculated quantities for 0.73 beta ratio, elbow at 17

pipe diameters, 7 tube bundle at 7D, 2 flange tap locations, 104 mm

orifice meter. 69

Table 56. Measured and calculated quantities for 0.37 beta ratio, oversize

Sprenkle at 44 pipe diameters, 2 flange tap locations, 154 mm orifice

meter. 70

Table 57. Measured and calculated quantities for 0.57 beta ratio, oversize

Sprenkle at 44 pipe diameters, 2 flange tap locations, 154 mm orifice

meter. 71

Table 58. Measured and calculated quantities for 0.37 beta ratio, tee at 18 pipe

diameters, 19 tube bundle at 12D, 2 flange tap locations, 154 mm

orifice meter. 72
LIST OF TABLES

Table 59. Measured and calculated quantities for 0.37 beta ratio, tee at 18 pipe

diameters, 19 tube bundle at 7D, 2 flange tap locations, 154 mm orifice

meter.

Table 60. Measured and calculated quantities for 0.57 beta ratio, tee at 18 pipe

diameters, 19 tube bundle at 12D, 2 flange tap locations, 154 mm

orifice meter.

Table 61. Measured and calculated quantities for 0.57 beta ratio, tee at 18 pipe

diameters, 19 tube bundle at 7D, 2 flange tap locations, 154 mm orifice

meter.

Page

72

73

73

XI

FLOW CONDITIONER TESTS FOR THREE ORIFICE FLOWMETER SIZES

Jennifer L. Scott, Michael A. Lewis

Process Measurement Division

Chemical Science and Technology Laboratory

National Institute of Standards and Technology

325 Broadway

Boulder, Colorado 80303-3228

Tests sponsored by the Gas Research Institute were performed with

orifice flowmeters of three nominal sizes: 52, 104, and 154 mm (2, 4, and 6

in). Tests with the 52 mm orifice meter included establishing a baseline curve

for 6 beta ratios and then conducting flow conditioner performance tests with an elbow located 17 pipe diameters (17D) upstream of the orifice plate.

Results from this laboratory indicate that beta ratios of 0.54 or less do not

require flow conditioning in this configuration and the 19 tube bundle flow

conditioner at 12D produces the best results for larger beta ratios. For the

104 mm orifice meter in the same piping configuration, flow conditioning is necessary for beta ratios of 0.55 and greater. Meter performance is less

sensitive to the location of the 7 tube bundle than the 19 tube bundle flow

conditioner, but the influence of the flange tap location is greater. Testing of

two beta ratios in the 154 mm orifice meter in a baseline configuration and

with a tee located 18D from the orifice plate indicates that placing a 19 tube

bundle flow conditioner at 12D produces discharge coefficients equivalent to those measured in baseline conditions. Flow rates for all tests were in the

turbulent regime.

Key words: baseline; beta ratio; discharge coefficient; flange tap location;

flow conditioner; flow measurement; orifice flowmeter; Sprenkle; tube

bundle; turbine flowmeter; turbulent

1. INTRODUCTION

This report details the results of metering research with orifice meters of the

following nominal sizes: 52, 104, and 154 mm (2, 4, and 6 in). We report the performance

characteristics of these meters in fully developed or 'good' flow conditions as baseline data

and evaluate the success of several flow conditioning schemes in achieving discharge

coefficients equivalent to baseline values when the piping configuration upstream of the

orifice meter creates disturbed flow patterns.

The general objective of the orifice meter research at this laboratory is to provide

information needed to update installation guidelines in the orifice metering standards,

ANSI/API 2530 and A.G.A. 3 [1]. We investigate how the flow can be conditioned to mitigate the effects of disturbances located upstream of the orifice meter. We attempt to determine what type and location of flow conditioners will succeed in producing discharge

coefficients equivalent to baseline values. Baseline values for each beta ratio (the ratio of
the diameter of the hole in the orifice plate to the inner diameter of the meter tube) are determined by calculating discharge coefficients in a piping configuration designed to produce fully developed turbulent flow.

Baseline data for the 52 and 154 mm orifice meters are included in this report. The

piping configuration used for these tests is shown in Figure 1. Baseline data for the 104 mm

orifice meter were taken with the orifice meter in a configuration similar to Figure 1 and

in other configurations with longer lengths of straight upstream pipes, with and without flow

conditioning. These data have been reported in previous National Institute of Standards

and Technology (NIST) Technical Notes [2,3,4].

A linear regression of discharge coefficients measured in baseline conditions versus pipe Reynolds number is performed. The resulting first-order curve is considered the

baseline curve for each beta ratio. For every configuration and/or flow conditioner we test, we use a comparative method to evaluate the performance of the orifice meter. Values of

discharge coefficients used in the comparison are also determined by linear regression. For

each configuration, the discharge coefficients measured at each flange pressure tap location are regressed versus pipe Reynolds number, and this regression is solved at a median

Reynolds number to determine the discharge coefficient resulting from these installation

tests. This discharge coefficient is compared to the baseline discharge coefficient calculated

from the baseline linear regression at the same pipe Reynolds number. The Reynolds

number used in the comparison is near the middle of the Reynolds number range for each

beta ratio.

The percent shift in orifice meter discharge coefficients resulting from specific

upstream piping configurations and flow conditioner locations at selected Reynolds numbers

is computed as follows:

(Ct -Ch )xl00 (i)

where Cb

is the discharge coefficient that was experimentally determined with the baseline

configurations and Ct is the discharge coefficient calculated for the various test configurations. Figures that display these shifts between experimental data and baseline

values provide indicator lines at ±0.1 percent. Baseline data for the 52 mm orifice meter

are also compared to the discharge coefficient values predicted by the equation found in the

orifice metering standard [5]. For each beta ratio tested, we typically calculate discharge coefficients at four flow

rates. A complete data set includes at least four measurements at each flow rate taken over two days to include any effects of daily variability. For some tests we limit the size of beta

ratios tested to those that would best characterize the effects of the configuration of interest.

Figures 2 and 3 show the flow conditioners used during the course of our research. The

dimensions and salient features are described in Table 1.
Table 1. Flow conditioner codes, descriptions, and measurements.

Identification

Name Number

Tubes

Pattern/

In-line (I)

Flanged (F)

Dimension mm (in)

Length OD Tube ID

IT8 tube

bundle

19 round-I 121 76 9.7

(4.8) (2.0) (0.4)

IT3 tube

bundle

7 round-I 152 48 13

(6) (1.9) (0.5)

IT9 tube

bundle

7 round-I 340 100 32

(13) (4) (1.3)

IT5 tube

bundle

19 round-I 305 147 27

(12) (5.8) (1.1)

OS4 Sprenkle three perf.

plates (F)

203 104 —

(8) (4) -

OS10 Sprenkle three perf.

plates (F)

508 254 —

(20) (10) -

We measure differential pressures at either two or four flange tap positions. Figure

4 illustrates how each tap position is referenced in this report. Location A is in the plane

of the nearest upstream elbow, along the inside of the bend. Location C is in the same

plane but along the outside of the bend. Location B is in a plane perpendicular to the

elbow and on top of the pipe, and location D is opposite to B.

Table 2 shows the various piping configurations, orifice meters, beta ratios, and flange

pressure tap locations tested, and identifies the appropriate tables and figures where results

for each configuration are summarized.
Table 2. Cross reference chart.

Fig- No. ID (mm)

Beta Ratio Flow

Cond.

Table No.

Config.

Fig. No.

Tap Location

0.24 0.40 0.48 0.54 0.67 0.73 A B c D

5 52 X OS4 4-7 1 X X X X

6

" X OS4 8-15 1 X X X X

7

" X OS4 16-19 1 X X X X

8

" X OS4 20-23 1 X X X X

9

" X OS4 24-27 1 X X X X

10 " X OS4 28-31 1 X X X X

12 " X — 32 11 X X X X

13 " X — 33 11 X X X X

14 " X — 34 11 X X X X

15 " X — 35 11 X X X X

16 " X X X X — SUM. 11 X X X X

17 " X IT3 36-37 11 X X X X

18 " X IT3 38-39 11 X X X X

19 " X IT3 40-41 11 X X X X

20 " X X X IT3 SUM. 11 X X X X

21 " X IT8 42-13 11 X X X X

22 " X IT8 44-45 11 X X X X

23 " X IT8 46-47 11 X X X X

24 " X X X IT8 SUM. 11 X X X X

25 104 0.43 — 48 11 X X

26 " 0.55 — 49 11 X X

27 " X — 50 11 X X

28 " X — 51 11 X X

29 " 0.43 0.55 X X — SUM. 11 X X

30 » X IT9 52-53 11 X X

31

" X IT9 SUM.- 11 X X

32 " X IT9 54-55 11 X X

33 " X IT9 SUM. 11 X X

34 154 0.37 OS10 56 1 X X

35 " 0.57 0S10 57 1 X X

37 " 0.37 IT5 58-59 36 X X

38 " 0.37 IT5 SUM. 36 X X

39 " 0.57 IT5 60-61 36 X X

40 " 0.57 IT5 SUM. 36 X X
2. SYSTEM DESCRIPTION

The gas research facility at the NIST in Boulder, Colorado, is a closed-loop

thermodynamic cycle in which nitrogen is circulated between temperature limits of 85 K and

290 K at pressures of 0.5 MPa to 4.1 MPa. The portion of the loop in which the orifice

meter is located operates near the upper end of the pressure and temperature ranges, 4

MPa and 289 K (580 psia, 60 °F). After the nitrogen gas passes through the orifice meter

test section it is expanded and cooled to liquid phase. Mass flow rate is determined by

weighing the liquid nitrogen collected in the weigh tank during a measured time interval.

The lower flow rate limit for our mass-based weighing system is 0.5 kg/s (1.1 lb/s).

In order to test the 52 mm orifice meter at flow rates below 0.5 kg/s, we installed two

calibrated turbine meters, in series, upstream of the orifice meter and any flow conditioners

or piping configurations we are testing. When the weigh tank is used for mass

measurement, all nitrogen flows through the turbines and orifice meter and then to the

weigh tank. To measure flows below 0.5 kg/s, we bypass part of the gas through the

turbine-orifice meter arrangement while maintaining the overall flow above 0.5 kg/s and use

the turbines to measure flow rate. One of the turbine meters is used as the primary

measurement device, and the other is used as a constant reference to the primary turbine

meter by monitoring the output ratio between the two meters.

The turbine meters were calibrated over the range of our mass system. The turbine

meters and associated piping were then sent to an independent calibration facility to be

calibrated at lower flow rates. This calibration was done using air at pressure and

temperatures similar to those at which our facility operates. These calibration data were

combined to arrive at a calibration curve for the turbine meters which covers the entire flow

range.

An uncertainty evaluation of our gas test facility is available as NIST Technical Note

1364 [6]. The uncertainty (2a) in our ability to measure nitrogen mass flow rate with the

weigh tank is ±0.18 percent, and uncertainty in mass flow rate when measured by the

turbine meter is ±0.47 percent. These uncertainties do not include the uncertainty

associated with nitrogen thermodynamic properties. The uncertainty in discharge coefficient

calculation, a component of which is mass flow rate, varies with pressure differential. Table

3 provides the pressure differential ranges we measure for each orifice meter and beta ratio.

Based on this information, measurement uncertainty for each beta ratio can be determined

by referring to graphical information in [6]. Discharge coefficient uncertainties in [6] are

calculated for the product of discharge coefficient and the expansion factor Y2

. We have

included this product both the product CY2 and the discharge coefficient C in the data

tables.
Table 3. Pressure differential ranges.

Orifice Meter

ID, mm (in)

Beta

Ratio

Pressure Differential Range,

kPa (inches H20)

52 (2) 0.24 75-180 (301-723)

0.40 25-130 (100-522)

0.48 12-130 (48-522)

0.54 12-150 (48-603)

0.67 12-75 (48-301)

0.73 12-50 (48-200)

104 (4) 0.43 9-48 (36-193)

0.55 3-20 (12-80)

0.67 2.5-7.5 (10-30)

0.73 2.5-5 (10-20)

154 (6) 0.37 4-27 (16-109)

0.57a 2.5-4.3 (10-17)

a. Uncertainties of the pressure transducers used for this beta ratio were not analyzed.

3. TESTS AND RESULTS

3.1 52 mm (2 in) Orifice Meter

The nominal 52 mm (2 in) orifice meter is a commercially available stainless steel

flowmeter with an actual internal diameter of 52.50 mm (2.067 in). The orifice meter

consists of three sections: approach, upstream, and downstream (Figure 1). Meter tube

sections are pinned to ensure alignment. One of two approach sections was used in the

research conducted with this orifice meter, depending upon the piping configuration. One

of the sections is 34D in length with an internal surface roughness of 4.3 fxm (170 fiin) Ra

and was used for baseline work. Ra is the mean absolute deviation value of the surface

finish measurement. The other approach section is 8D and is constructed of standard

schedule 40 carbon steel pipe and weld-neck flanges. The upstream section is 9D with a roughness of 4.1 /mi (160 ium), and the downstream section is 20D with a roughness of 4.4

/um (175 juin) Ra.

3.1.1 Baseline (52 mm)

Six beta ratios were tested in baseline conditions (Figure 1): 0.24, 0.40, 0.48, 0.54,

0.67, and 0.73. The baseline piping configuration consists of a 104 mm (4 in) Sprenkle flow

conditioner and 44D of straight pipe upstream of the orifice plate. We measured
differential pressures at four flange tap locations, simultaneously. Baseline tests with a more

limited flow range using the 0.54 and 0.67 beta ratio plates were conducted in 1991. These

data can be found in NIST Technical Note 1356 [4] and are included in this evaluation in

graphical form only. However, these data are included in the regression fit to determine

the baseline curve for the 0.54 and 0.67 beta ratios.

For this line size only, we compare baseline data to the orifice meter equation curve (RG) defined in the ANSI/API 2530-A.G.A. 3 orifice metering standard [5]. The database

used to develop the equation is the result of more than 10 years of orifice meter work from

laboratories in the United States and Europe. The database contains over 10 000 data

points measured in nominal orifice meters sizes from 52 mm to 250 mm but does not

contain any data for the 52 mm orifice meter with gas as the working fluid. For this reason,

we compare our baseline data to the equation curves in Figures 5 through 10. The

experimental data are listed in Tables 4 through 31. In general, the deviation between

baseline discharge coefficients for the 52 mm orifice meter measured in our laboratory and

the equation values shifts from negative to positive as the beta ratio increases.

Figure 5 shows that for a beta ratio of 0.24 the discharge coefficients measured in the

baseline configuration are about -0.1 to -0.2 percent from those predicted by the RG

equation. There is no difference in discharge coefficients between tap locations. Because

all flow rates were below 0.5 kg/s, the turbine meter was used to determine mass flow for

all data points with the 0.24 beta ratio.

Results from the baseline measurements with the 0.4 beta are shown in Figure 6. As with the 0.24 beta ratio, all mass flow measurements were turbine-meter based. This

plot contains data using two orifice plates, 2C and 2D, with beta ratios of 0.4. We began

our tests with plate 2C. On the fourth day of testing in the baseline configuration, all discharge coefficients were significantly lower (-0.3 percent) than those measured on

previous days. All discharge coefficients measured in subsequent installation tests with plate

2C remained low. No reason for these shifts could be found.

To investigate the problem, we purchased another 0.4 beta ratio plate, 2D, and tested

it in baseline conditions. The discharge coefficients with the new plate were the same as those from the first three days' tests with 2C. These combined data sets (first three days

with 2C and one day with 2D) are shown in Figure 6. A curve fit to these data serves as a baseline for this beta ratio. Figure 6 indicates that the baseline curve is from -0.2 to -0.6

percent below the RG equation curve found in the standard. We still cannot explain the

anomalous behavior with this beta ratio.

Figure 7 shows the agreement between data taken using the 0.48 beta ratio plate and

the RG equation. Although there is some flow rate dependency, the mean deviation

between our data and the RG equation values is less the 0.1 percent. The turbine meter

was used to measure mass flow for all data except those above a pipe Reynolds number of

1.4 x 106

, which is a combination of weigh tank-based mass measurements and turbine-based

mass measurements.

For the 0.54 beta ratio approximately half of the mass flow rates were measured by

the weigh tank, and the other half were turbine-based measurements. The filled symbols

in Figure 8 represent the discharge coefficients measured in 1991. By improving our

differential pressure measurement capability in 1992, we were able to expand the Reynolds

number range, so baseline tests were repeated in 1992. The mean difference between our
data and the RG equation values is about 0.23 percent.

Figure 9 displays baseline data from 1991 and 1992 for the 0.67 beta ratio. The

mean deviation between our data and equation values is 0.3 percent, but the curve fit represented by all data varies from to 0.27 percent from the equation. All values fall within the uncertainty parameters found in the standard [5] for this beta ratio and pipe

Reynolds number. The fact that all discharge coefficients fall above the equation line may

be due to the internal surface roughness of our orifice meter tube. Discharge coefficients

measured when using larger beta ratios are more sensitive to pipe roughness and

concentricity of the orifice.

The same trend is seen in Figure 10, which shows the baseline results for the 0.73

beta ratio. The mean deviation between our data and the equation values is 0.59 percent

and the deviation between our baseline curve and the equation is 0.62 percent at a pipe

Reynolds number of 2.34 x 106 These values are within the practical uncertainty limits for

this beta ratio as discussed in ANSI/API 2530 [5]. The practical uncertainty given in the

standard for a beta ratio of 0.70 is 1 percent and increases with increasing beta ratio. Our

results indicate that beta ratios of 0.67 or larger are much more sensitive to any disturbance

and/or pressure tap location than smaller beta ratios.

3.1.2 No Flow Conditioner (52 mm)

Figure 1 1 illustrates the piping configuration used to test the effect of a long radius

elbow located 17D upstream of the orifice meter. Seventeen pipe diameters of straight pipe

is the minimum allowable overall distance between two elbows (separated by more than

10D) in the same plane and the orifice plate using a beta ratio of 0.75 and no flow

conditioning [1]. The largest beta ratio requires the most upstream length, but if plates with

different beta ratios will be used to meet different flow requirements, the length of straight

pipe must be that required for the maximum beta ratio used. A 17D upstream length of

straight pipe is also required for the 0.75 beta ratio plate downstream of a partially opened

valve, but flow conditioning is required. Therefore, we performed many flow conditioner

location tests in the 17D piping configuration. This section reviews the results of tests with

no flow conditioning. The difference between discharge coefficients measured in this

configuration and baseline values are computed at pipe Reynolds numbers of 0.4 x 106 for

the 0.4 beta ratio and 1.6 x 106 for all other beta ratios. The results are displayed in Figures

12 through 16 and are listed in Tables 32 through 35.

Figure 12 shows that for the 0.4 beta ratio, discharge coefficients measured with an

elbow at 17D and no flow conditioning are not different than baseline values. Plate 2D was

used for these tests (Section 3.1.1). All data for this beta ratio were computed using the

turbine meter as the reference.

Figure 13 indicates that in this configuration flow conditioning is not necessary for

the 0.54 beta ratio. Reference flow rates for this and larger beta ratios are measured using a combination of measurements by the turbine and the weigh tank.

Figure 14 shows that with the 0.67 beta ratio, discharge coefficients are below

baseline values, and the location of the flange pressure tap becomes a factor. If the

differential pressure measured at flange tap location B (pipe top, ± to elbow) is used to

calculate discharge coefficient, the value is only 0.13 percent from baseline values.
However, if tap location C (outside of bend, in elbow plane) is used, the deviation from

baseline values is nearly 0.5 percent.

This same pattern is magnified in the 0.73 beta ratio tests: discharge coefficients are low and the difference between tap location B and C is nearly 0.5 percent. Data for this

beta ratio are shown in Figure 15. Discharge coefficients measured at location C are -0.74

percent from baseline values.

The results for all beta ratios tested are shown in Figure 16. Our methods for

determining the percent shift in discharge coefficients from baseline values is described in

the introduction of this report. With an elbow at 17D and no flow conditioner, all discharge

coefficients for the 0.4 and 0.54 beta ratios are near baseline values. This would not be an

appropriate installation configuration in which to use the 0.67 or 0.73 beta ratio. Even

though the discharge coefficients measured at tap location B are within 0.25 percent of the

baseline, this result could be very installation dependent. We performed similar tests with a 104 mm (4 in) orifice meter with two tap locations (A and C) and did not get similar

results with respect to which tap location yields discharge coefficients closest to baseline

values (Section 3.2.2, Fig. 29).

3.1.3 Flow Conditioner Tests (52 mm)

In the same piping configuration (Figure 11), we tested the effect of placing either a 7 tube bundle flow conditioner (IT3) or a 19 tube bundle flow conditioner (IT8) at two

positions upstream of the orifice plate. We conducted these tests with the three largest beta

ratios: 0.54, 0.67, and 0.73. Because previous work at NIST-B and other laboratories [2,7,8]

has shown that placing a flow conditioner 7D upstream of the orifice plate can result in

discharge coefficients below baseline values, we limited our work to one day's test with the

flow conditioner at this location. Results for these tests are shown in Figures 17 through

24 and are listed in Tables 36 through 47.

3.1.3.1 7 Tube Bundle Flow Conditioner (IT3)

Figure 17 shows that 1 ID is a better location for the 7 tube bundle (IT3) than 7D;

however, tests in this piping configuration with no flow conditioning show that flow

conditioning is not necessary with the 0.54 beta ratio (Figure 16). In fact, when IT3 is placed at 7D, discharge coefficients are farther from baseline values than if no flow

conditioner is used. Figure 20 illustrates this result.

The 7 tube bundle does not improve the 0.67 beta ratio results regardless of position.

Figure 18 shows that all discharge coefficients were below baseline values. There is less

sensitivity to pressure tap location when IT3 is at 7D rather than 11D, but the relative effect

of the tap location changes also. When IT3 is at 7D, measurement at flange tap location

D are farthest from baseline, but if IT3 is located at 11D, using flange tap location C results

in the largest error. This indicates that discharge coefficients may be affected by the

orientation of the 7 tube bundle. We do not see this result with the 19 tube bundle flow

conditioner.

Results are similar for the 0.73 beta ratio. Figure 19 shows that in general, all discharge coefficients are below baseline values when using the 7 tube bundle, but the 12D
position is better than the 7D position. When IT3 is at 12D, discharge coefficients are within -0.5 percent of baseline values regardless of pressure tap location. Figure 20 shows

that for the 0.73 beta ratio, as with the 0.67 beta ratio, the relative effect of tap location

changes as the IT3 is moved closer to the orifice plate. This may be caused by the

orientation of the 7 tube bundle in the pipe. For each beta ratio in figure 20, the graph

indicates a slight offset between results from the two flow conditioner location tests. This

is done for clarity and is not an indication of slightly varying beta ratios.

3.1.3.2 19 Tube Bundle Flow Conditioner (IT8)

For all beta ratios tested, the 19 tube bundle performs better than the 7 tube bundle

when an elbow disturbance is 17D from the orifice plate. Figure 21 shows that with the 0.54

beta ratio placing IT8 at either 7D or 12D gives good results.

Figure 22 indicates that for the 0.67 beta ratio, 12D is a good location for the IT8

flow conditioner, but results for the 7D location are somewhat flow rate dependent.

Figure 23 shows that for the 0.73 beta ratio, the 12D location is preferable to the 7D

location for IT8. Comparison of the results from Figure 23 to those in Figure 19, in which

the 7 tube bundle was used, shows that there is less data scatter with 19 tube bundle, the

result of a quieter pressure differential measurement. In all of our research we observe that

for larger beta ratios, 0.67 and 0.73, the signal-to-noise ratio decreases. We think this

phenomenon is greater with the 7 tube bundle than the 19 tube bundle in the 52 mm orifice

meter and the 104 mm orifice meter (Section 3.2.2).

In general, we find that the 12D location for the 19 tube bundle provides the best

results for all beta ratios when there is an elbow 17D from the orifice plate. A composite

of these results is shown in Figure 24. For beta ratios of 0.67 and larger, flow conditioning

improves meter performance. These results differ from the suggested installation guideline

found in the standard, which indicates no flow conditioning in necessary for any beta ratio

in this piping configuration.

3.2 104 mm (4 in) Orifice Meter

The nominal 104 mm (4 in) orifice meter is made from schedule 40 stainless steel

that has been bored to an internal diameter of 103.657 mm (4.081 in). As with the 52 mm

orifice meter, we used two approach sections with this meter. One approach section is 8D

in length with an Ra of 0.76 jum (30 juin); the other is 6D with an Ra of 2.5 jum (100 /iin).

The upstream section is 11D with an internal roughness of 3.8 /j,m (150 ^in) Ra and the

downstream section is 16D. Pressure drop across the orifice plate is measured at flange tap

locations A and C (Figure 4). Deviations between discharge coefficients measured in test configurations and baseline values are evaluated at a pipe Reynolds number of 1.25 x 10

6

.

3.2.1 No Flow Conditioner (104 mm)

Figure 11 shows the piping configuration used for these tests. The rationale for

conducting tests in this piping configuration is explained in Section 3.1.2. We tested four

beta ratios in this configuration: 0.43, 0.55, 0.67, and 0.73. The results are shown in Figures

10
25 through 29 and are listed in Tables 48 through 51.

Figure 25 shows that for the 0.43 beta ratio orifice meter in the 104 mm line size,

discharge coefficients are within 0.15 percent of baseline values for all but the lowest

Reynolds number where increased scatter is observed. We estimate the repeatability of our system at approximately 0.15 percent.

Contrary to the results with the 52 mm orifice meter (Figure 13), it appears that flow

conditioning is necessary for the 0.55 beta ratio in the 104 mm orifice meter. Figure 26

indicates that discharge coefficients are approximately -0.35 percent from baseline values.

We previously tested this configuration and beta ratio with a 19 tube bundle at 13D [4]. In

those tests the discharge coefficients were -0.25 percent from baseline values. For this beta

ratio, we found the best location for the 19 tube bundle was directly downstream of the

elbow; however, the difference in discharge coefficients at the two tap locations was 0.1

percent.

Discharge coefficients measured with the 0.67 beta ratio plate installed were about - 0.24 percent from baseline values as seen in Figure 27. Figure 28 shows that with the 0.73

beta ratio the shift from baseline values is -0.35 to -0.5 percent, depending on tap location.

It appears that flow conditioning is advisable for both of these beta ratios. Figure 29

displays the results for all beta ratios tested in this configuration.

3.2.2 Flow Conditioner Tests (104 mm)

Flow conditioner tests were conducted in the piping configuration shown in Figure

11. Only the 0.67 and 0.73 beta ratio plates were tested. Previous tests have shown that

discharge coefficients measured with these beta ratios were the most susceptible to changes

in upstream conditions. Results of these tests are shown in Figures 30 through 33, and data

are listed in Tables 51 through 54.

Figure 30 shows the results for the 0.67 beta ratio and a 7 tube bundle (IT9) located

in two positions, 7D and 12D. There is more scatter in the data than we have seen with the

19 tube bundle or with no flow conditioning, but the data show much less sensitivity to flow

conditioner location. Figure 31 illustrates this point. We have included on this graph data

that were reported in NIST Technical Note 1356 [4]. The 7 tube bundle can be placed at 7D or 12D and discharge coefficients are within 0.16 percent of baseline values. If the 19

tube bundle is used, placing the flow conditioner at 13D results in discharge coefficients

from 0.1 to 0.3 percent below baseline values, depending on tap location. With the flow

conditioner at 11D, shifts are even greater.

Figure 32 shows the results for the 0.73 beta ratio tests with the 7 tube bundle flow

conditioner. The data scatter with this beta ratio is no greater then we have seen in

previous tests. As with the 0.67 beta ratio results, discharge coefficients show little sensitivity to flow conditioner location. Again we have included results from NIST

Technical Note 1356 [4] in Figure 33 to demonstrate the difference in performance between

the 7 and 19 tube bundle (IT1). The 19 tube bundle performs marginally better at 13D than

the 7 tube bundle performs at 12D only because the tap location effect is slightly smaller.

11
3.3 154 mm (6 in). Orifice Meter

The nominal 154 mm (6 in) orifice meter is a commercially available stainless steel

flowmeter with an actual internal diameter of 154.330 mm (6.076 in). Two approach

sections were used in the research conducted with this orifice meter, one for baseline and

another for disturbed flow. The section used in baseline tests is approximately 34D in

length. The other approach section is 9D with an internal surface roughness of 2.8 jum (110

^in) Ra. The upstream section is 9D with a roughness of 5.1 /urn (200 //in), and the

downstream section is approximately 15D.

Our reason for conducting tests with the 154 mm orifice meter is to determine

whether the results of previous installation effects research conducted with orifice meters

of other sizes are applicable to the 154 mm orifice meter. Because of our flow system

limitations, we were only able to calculate discharge coefficients over a narrow Reynolds

number range, particularly for the 0.57 beta ratio plate. These brief and limited tests were

sufficient to predict that results from previous tests apply to the 154 mm orifice meter. All

discharge coefficients were calculated with mass flow rate measured by the weigh tank.

Deviations between discharge coefficients measured in the tee configuration and baseline

values are evaluated at a pipe Reynolds number of 1 x 10

6

.

3.3.1 Baseline (154 mm)

Figures 34 and 35 display the baseline data for beta ratios of 0.37 and 0.57 in the 154

mm orifice meter. These data are listed in Tables 56 and 57. The piping configuration used

for these tests is shown in Figure 1. Data from all tap locations were fitted to a linear curve which appears on these figures as well as all subsequent figures exhibiting results from flow

conditioner tests.

3.3.2 Flow Conditioner Tests (154 mm)

The piping configuration used to evaluate flow conditioner location in the 154 mm

orifice meter is shown in Figure 36. This configuration was chosen because we have

previously performed tests with the 104 mm orifice meter and a tee located 17D upstream

of the orifice plate. Without flow conditioning, this configuration produced the largest shifts

in discharge coefficients, especially with small beta ratios [3]. The results for the 154 mm

tests are shown in Figures 37 through 40 and data are listed in Tables 58 through 61.

The data for the 0.37 beta ratio shown in Figures 37 and 38 indicate that placing a

19 tube bundle at either 7D or 12D results in discharge coefficients equivalent to baseline

values. Figures 39 and 40 indicate the results for the 0.57 beta ratio in the 154 mm orifice

meter are more consistent with results from previous tests in other line sizes. Placing the

19 tube bundle at 7D causes a negative shift in discharge coefficients. If the flow

conditioner is located 12D from the orifice plate, discharge coefficients are equivalent to

those measured in baseline conditions.

12
4. CONCLUSIONS AND RECOMMENDATIONS

4.1 Conclusions

Research results from this laboratory are usually reported as comparative results;

we compare orifice meter discharge coefficients measured in various piping configurations

to those measured in baseline conditions. However, in this report we compare the 52 mm

baseline data to values predicted by the standards equation [5] because the regression

database used to develop the equation contained no gas data for the 52 mm orifice meter

(Section 3.1.1). For all beta ratios we tested, the difference between our data and the values

predicted by the equation were within the uncertainty of the equation as presented in the

standard. A more detailed comparison that includes data points from the regression

database can be found in the proceedings from the American Society of Mechanical

Engineers Fluid Measurement and Instrumentation Forum [9].

Although the standard [1] states that no flow conditioning is necessary when a single

elbow is at least 17D from the orifice plate, we find that for the larger beta ratios this is not

the case. Flow conditioning is necessary with the 0.55, 0.67, and 0.73 beta ratios in the 104

mm orifice meter and with the 0.67 and 0.73 beta ratios for the 52 mm orifice meter.

For the 52 mm orifice meter, results from tests with the 7 and 19 tube bundle flow

conditioners at two locations with beta ratios of 0.54, 0.67 and 0.73 were beta ratio

dependent, but the best results were achieved by placing a 19-tube bundle flow conditioner

12D upstream of the orifice plate. However, with this arrangement, discharge coefficients

for the 0.67 and 0.73 beta ratios were below baseline values. We interpret this to mean that

12D is not a sufficient distance between the flow conditioner and the orifice plate in our

facility. Though the 0.54 beta ratio does not need flow conditioning, placing the 19 tube

bundle at 12D does not deteriorate performance.

Results of the 104 mm orifice meter tests with the 0.67 and 0.73 beta ratio are

different from those for the 52 mm orifice meter. When the 7 tube bundle flow conditioner

is used, discharge coefficients are less sensitive to the location of the flow conditioner than

when a 19 tube bundle is used. Discharge coefficients are closer to baseline values when

the 7 tube bundle flow conditioner is located at 12D than when the 19 tube bundle is located at 11D or 13D, but signal to noise ratio is smaller when the 7 tube bundle is used,

and there is more variability between tap locations with the 0.73 beta ratio. Our work in

the past has indicated that for beta ratios of 0.55 and larger, the best location for the 19

tube bundle in our 104 mm orifice meter is at the outlet of the elbow [4], and these results are better than the 12D location of the 7 tube bundle. The most unpredictable results are found with the 0.73 beta ratio, and we recommend avoiding its use. We taxed the limitations of this facility to test the 154 mm orifice meter, but we think

that general results for other orifice meter line sizes can be translated to this orifice meter.

With a tee 18D upstream of the orifice plate and a 19 tube bundle flow conditioner is located 12D from the orifice plate, discharge coefficients are within 0.1 percent of baseline

values for the 0.37 and 0.57 beta ratios.

13
4.2 Synopsis of Results from the NIST Flow Facility

(1) When a single elbow is 17D from the orifice plate, flow conditioning is necessary

with the 0.67 and 0.73 beta ratios in the 52 mm orifice meter and with the 0.55, 0.67,

and 0.73 beta ratios in the 104 mm orifice meter.

(2) Flow conditioner tests with the 52 mm orifice meter are beta ratio dependent, but

the best results were achieved with a 19 tube bundle flow conditioner 12D upstream

of the orifice plate. Discharge coefficients were below baseline values indicating that

12D is not a sufficient distance between flow conditioner and orifice plate in this

facility.

(3) In the 104 mm orifice meter, discharge coefficients are less sensitive to the position

of the 7 tube bundle than the 19 tube bundle, but there is more data scatter.

(4) Tests with 0.37 and 0.57 beta ratios in a 154 mm orifice meter indicate that placing

a 19 tube bundle flow conditioner at 12D resulted in discharge coefficients at baseline values.

4.3 Recommendations

We have performed years of research to try to determine when flow conditioning is necessary, and if so, where the flow conditioner should be placed to produce discharge

coefficients equivalent to those measured in well-developed flow. Ideally, we would like the

flow conditioner to isolate the orifice plate from upstream flow disturbances no matter what

creates them and to perform comparably in a particular location for all beta ratios. Tests

from this laboratory and others have determined that these criteria cannot be met by

commonly used tube bundle flow conditioners. The 'best' location for flow conditioning

varies with the type of flow conditioner, the disturbance, the flange pressure tap location,

and beta ratio. Results between laboratories sometimes differ even though piping

configurations between the last disturbance and the orifice plate are similar. This may be

due to differing configurations upstream of the last disturbance, and if so, the task of

establishing general guidelines for all field installations is even further complicated.

A positive outcome of this exhaustive research is the expanded effort to design and

test new flow conditioners that will meet the criteria outlined above. In general, we have

found that in this laboratory placing a 19 tube bundle flow conditioner from 12D to 14D

upstream of the orifice plate produces discharge coefficients within ±0.25 percent of

baseline values for beta ratios of 0.67 and smaller.

5. ACKNOWLEDGEMENTS

The work described in this report was funded by the Gas Research Institute, Chicago,

Illinois, under GRI Contract No. 5088-271-1680. This report is also cited as GRI Report

Number GRI-94/0096. The technical support and guidance of John Gregor, GRI project

14
manager, is gratefully acknowledged. The authors also acknowledge the assistance of Mary

Yannutz and Nick Sanchez in preparing this report.

6. REFERENCES

[1] Orifice metering of natural gas and other related hydrocarbon fluids, Part 2-

Specification and installation requirements, A.G.A. Report No. 3, ANSI/API 2530,

GPA 8185.90, Third Edition, American Gas Association, Arlington, Virginia; 1991.

[2] McFaddin, S.E.; Sindt, C.F.; Brennan, J. A. Optimum location of flow conditioners

in a 4-inch orifice meter, Natl. Inst. Stand. Technol. Tech. Note 1330; 1989.

[3] Sindt, C.F.; Lewis, M.A.; Brennan, J.A. Orifice meter performance downstream of a tube bundle flow conditioner, elbows, and a tee. Natl. Inst. Stand. Technol. Tech.

Note 1344; 1990.

[4] Scott, J.L.; Sindt, C.F.; Lewis, M.A. Flow conditioner location effects in orifice

flowmeters, Natl. Inst. Stand. Technol. Tech. Note 1356; 1993.

[5] Orifice metering of natural gas and other related hydrocarbon fluids, Part 1-General

equations and uncertainty guidelines, A.G.A. Report No. 3, ANSI/API 2530, GPA

8185.90, Third Edition, American Gas Association, Arlington, Virginia; 1991.

[6] Scott, J.L.; Lewis, M.A. Uncertainty analysis of the NIST nitrogen flow facility. Natl.

Inst. Stand. Technol. Tech. Note 1364; April 1994.

[7] Morrow, T.B.; Park, J.T. Southwest Research Institute, Metering research facility

program: Installation effects on orifice meter performance, GRI-93/0054.1, Gas

Research Institute, Chicago, Illinois; Sept 1993.

[8] Mattingly, G.E.; Yeh, T.T. Summary report of NISTs industry-government

consortium research program on flowmeter installation effects with emphasis on

research period Feb.-Dec. 1990: Tee, used as an elbow configuration. Natl. Inst. Stand. Technol. NISTIR 4753; 1992.

[9] Scott, J.L. Comparing NIST-B 50 mm orifice meter gas data to the ANSI equation.

Gore, R.; Morrow, T.; Jones, G., eds. Proceedings of the Fluid Measurement and

Instrumentation Forum-1993, Washington, D.C., FED-Vol. 161, American Society of

Mechanical Engineers, New York, New York; 1993.

15
Figure 1. Baseline configuration.

Figure 2. In-line, 19 and 7 tube bundle flow conditioners.

16
Figure 3. Flanged, Sprenkle flow conditioner.

Orifice

Plate

Figure 4. Flange pressure tap location code.

17
0.62

c

CD

• r—

O

CDO

o

CDSD

COo

CO

0.61

0.60 -

0.59

- D = 52 mm

- (8 = 0.24

- Baseline

— O Tap Location A A Tap Location B V Tap Location C Tap Location D ANSI/API 2530-A.C.A. 3 (RG) equalion Curve fit (all taps)

i.

SgJl ]m

kn_ TMrasQ

. I 1

i 0.2 0.3 0.4 0.5 Pipe Reynolds Number/10

Figure 5. Discharge coefficient vs. Reynolds number for the 0.24 beta ratio plate,

oversize Sprenkle at 44D, and 4 flange tap locations.

0.62

Figure 6.

C

oj

•i—i o

CDO

o

CD

O

CO

• I—

Q

0.61 -

0.60

0.59

- D = 52 mm

- = 0.40

- Flange lap locat.on A Baseline

- A Flange tap location B V Flange tap location C — D Flange tap location D ANSI/API 2S30-AG.A 3 (RG) equation

- Curve fit (all taps, both plates)

- ^JL_

- Hollow symbols-plate 2C

Filled symbols-plate 2D i.i.i 1 , 1 0.2 0.4 0.6 0.8 10

Pipe Reynolds Number/ 10

Discharge coefficient vs. Reynolds number for the 0.40 beta ratio plate,

oversize Sprenkle at 44D, and 4 flange tap locations.

18
0.62

C

CD

• 1—1 O

CDO

u

CD

OX) U

COo

0.61

0.60

0.59

D = 52 mm

p = 0.48

Baseline

Q

O Flange lap location A A Flange tap location B V Flange tap location C

Flange tap location D ANSI/API 2530-AC A 3 (RG) equation Curve fit (all taps)

I 0.2 0.6 1.0 1.4 Pipe Reynolds Number/10

Figure 7. Discharge coefficient vs. Reynolds number for the 0.48 beta ratio plate,

oversize Sprenkle at 44D, and 4 flange tap locations.

0.62

C

CDO

CDO

CD

tcCu

in

0.61

0.60

0.59

D = 52 mm

/? = 0.54

Baseline

1991 data, all taps O Flange tap location A A Flange tap location B V Flange tap location C D Flange tap location D ANSI/API 2530-A.G A. 3 (RG) equation Curve lit (all taps) -I I I 1 i_ 0.2 0.6 1.0 1 A 1.8 2.2 Pipe Reynolds Number/10

Figure 8. Discharge coefficient vs. Reynolds number for the 0.54 beta ratio plate,

oversize Sprenkle at 44D, and 4 flange tap locations.

19
0.62

c

CD

• r—

t

O

0.61

CDO

u

CD

COo

73

0.60

0.59

0.2

D = 52 mm

P

= 0.67

Baseline

t

rsrt

1

1

#z

A 1991 dala. all taps O Flange tap location A A Flange tap location B V Flange tap location C D Flange tap location ANSI/API 2530-A G.A. 3 (RC) equation Curve fit (all taps)

I II I I 0.6 1.0 1.4 1.8 2.26

Pipe Reynolds Number/ 10

Figure 9. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio plate,

oversize Sprenkle at 44D, and 4 flange tap locations.

0.62

c

CDO

0.61

CDO

U

CD

S-, CCo

CO

0.60

0.59

2

D = 52 mm

= 0.73

Baseline

O Flange tap location A A Flange tap location B V Flange tap location C O Flange tap location ANSI/API 2530-A C A. 3 (RG) equation Curve fit (all taps)

I , I , I L_

0.6 1 1.4 2.2 Pipe Reynolds Number/102.6 6

5.0

Figure 10. Discharge coefficient vs. Reynolds number for the 0.73 beta ratio plate,

oversize Sprenkle at 44D, and 4 flange tap locations.

20
Long Radius

Elbow

Figure 11. Test configuration, long radius elbow at 17D.

G

CD

CDO

o

CD

s_

COo

00 5

0.62

0.61

0.60

0.59

D = 52 mm

P

= 0.40 (2D)

No Flow Conditioner

O Flange tap location A A Flange tap location B V Flange tap location C Flange tap location D

Baseline, plates 2C and 2D

0.2 0.4 0.6 0.8 Pipe Reynolds Number/10

1.0 6

Figure 12. Discharge coefficient vs. Reynolds number for the 0.40 beta ratio plate, elbow

at 17D, no flow conditioner, and 4 flange tap locations.

21
CD

CDO

U

CD

COo

00

D = 52 mm

/? = 0.54

No Flow Conditioner

0.61 -

' &-

0.60

- i

n sq

- Flange lap location A A Flange lap location 8 V Flange lap location C

Flange tap location D

Baseline I.I.I, I , I 0.2 0.6 1.0 1.4 1.8

Pipe Reynolds Number/10

Figure 13. Discharge coefficient vs. Reynolds number for the 0.54 beta ratio plate, elbow

at 17D, no flow conditioner, and 4 flange tap locations.

C

CD

COoO

CD

COo

0.62

0.61

0.60

0.59

0.2

D = 52 mm

(3 = 0.67

No Flow Conditioner

-*r

O Flange lap location A A Flange tap location B V Flange tap location C D Flange tap location D

Baseline

I I 0.6 1.0 1.4 1.8

Pipe Reynolds Number/10

2.2

6

2.6

Figure 14. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio plate, elbow

at 17D, no flow conditioner, and 4 flange tap locations.

22
CD3

CDOO

CD

S-, 03o

00

0.62

0.61

0.60 -

0.59

- D = 52 mm

- |S = 0.73

No Flow Conditioner

i

V S

§

- O

V

O Flange lap location A A Flange tap location B V Flange tap location C D Flange tap location D

Baseline III, I , I

I , I 0.2 0.6 1.0 1.4 .8 2.2 2.6

6

Pipe Reynolds Number/10

3.0

Figure 15. Discharge coefficient vs. Reynolds number for the 0.73 beta ratio plate, elbow

at 17D, no flow conditioner, and 4 flange tap locations.

o

CD

01) c

CO o

-l-J c

<vo

<D

1.0

0.5 -

0.0

-0.5 -

-1.0

D = 52 mm

-

No Flow Conditioner

V A

Q

A

- O Flange tap location A A Flange tap location B

V

O

V Flange tap location C Q Flange tap location D

1 i

1

V

1 0.40 0.54 0.67 Beta Ratio

0.73

Figure 16. Percent change in discharge coefficient vs. beta ratio with an elbow at 17D,

no flow conditioner, and 4 flange tap locations.

23
0.62

C

0)

• I—

o

CDO

u

CD

s^

(0u

0.61 -

0.60 -

0.59

- D = 52 mm

- = 0.54

- 7 tub e bundle

- ^ & -f"

m —r^-

#

-

- o Flange lap location A

- A Flange tap location B V Flange tap location C a Flange tap location D Hollow sv nbols -1T3 9 1 ID

" -Baseline

I I

I

Filled

i

syrr bols- IT3 9 7D

I 0.2 0.6 .0 1.4 1.8 2.2

Pipe Reynolds Number/10

Figure 17. Discharge coefficient vs. Reynolds number for the 0.54 beta ratio plate, elbow

at 17D, 7 tube bundle flow conditioner at 7D or 11D, and 4 flange tap

locations.

0.62

CD

• J—

o

CDO

o

CD

CUD U

(0 -C

CJCO

0.61

0.60

0.59

D = 52 mm

/? = 0.67

7 tube bundle

It

O Flange tap location A A Flange lap location B V Flange tap location C D Flange tap location D

Baseline

I i I

Hollow symbols-lT3 9 1 ID

Filled symbols-lT3 9 7D

0.6 1.0 1.4 1.8 2.2 2.6

Pipe Reynolds Number/10

Figure 18. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio plate, elbow

at 17D, 7 tube bundle flow conditioner at 7D or 11D, and 4 flange tap

locations.

24
0.62

i—

o

O

o

0.61

S 0.60

o

00

Figure 19.

0.59

0.2

D = 52 mm

/? = 0.73

7 tube bundle

-Q

v X

O Flange tap location A A Flange lap location B V Flange tap location C Flange tap location D Baseline

Hollow symbols-IT3 9 12D

Filled symbols-IT3 9 7D

0.6 1.0 1.4 1.8 2.2

Pipe Reynolds Number/10

2.5

6

.0

Discharge coefficient vs. Reynolds number for the 0.73 beta ratio plate, elbow

at 17D, 7 tube bundle flow conditioner at 7D or 12D, and 4 flange tap

locations.

o

onc

jc

o

c

O

u

0) PL

1.0

0.5 -

0.0

-0.5 -

1.0

D

— 5 2 mm

-

7 tub e bundle

Q

V

A e

- I

Flange tap location A A Flange lap location 8

V

T

V Flange tap location C HoLiow tymboli -IT3 S 11/I2C

Flange lap locaUoo D

I

Filled symbolj- ITO s 7D

1 0.54 0.67 0.73 Beta Ratio

Figure 20. Percent change in discharge coefficient vs. beta ratio with an elbow at 17D,

7 tube bundle flow conditioner at 7D, 11D, or 12D, and 4 flange tap locations.

25
0.62

C

CD 'u

0>O

<L> GO

(0o

00

0.61

0.60

0.59

D = 52 mm

/? - 0.54

19 tube bundle

O Flange tap location A A Flange tap location B V Flange tap location C D Flange tap location D

Baseline

I I I

Hollow symbols-[T8 9 12D

Filled symbols-IT8 9 7D

0.2 0.6 1.0 1.4 1.8 1 "> Pipe Reynolds Number/10

Figure 21. Discharge coefficient vs. Reynolds number for the 0.54 beta ratio plate, elbow

at 17D, 19 tube bundle flow conditioner at 7D or 12D, and 4 flange tap

locations.

62

• r—

o

o

°- 61

CDGO

(0o

73 0.60 -

0.59

- D = 52 mm

- /? = 0.67

- 19 tube bundle

- i h g S

m ¥ r I

- it f

: O Flange tap location A

- A Flange tap location B V Flange tap location C O Flange tap location D Hollow svmbols-IT8 9 I2D

Baseline 1,1,!, Filled symbols-ITS & 7D 1,1

0.2 0.6 1.0 1 .4 1.8 2.2 2.6

Pipe Reynolds Number/10

Figure 22. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio plate, elbow

at 17D, 19 tube bundle flow conditioner at 7D or 12D, and 4 flange tap

locations.

26
0.62

C

CD

.—Io

0.61

CDO

u

CDoo

S-i CCu

5

0.60

0.59

0.2

D = 52 mm

= 0.73

19 tube bundle

O Flange lap location A A Flange lap location B V Flange lap location C D Flange lap location D

Baseline

Hollow symbols-IT8 9 12D

Filled symbols-lT8 9 ?D

0.6 1.0 1.4 1.3 2.

Pipe Reynolds Number/10

2.6

6

3.0

Figure 23. Discharge coefficient vs. Reynolds number for the 0.73 beta ratio plate, elbow

at 17D, 19 tube bundle flow conditioner at 7D or 12D, and 4 flange tap

locations.

Figure 24.

o

c

ac

(0 JZO

c

a

u

1.0

0.5

0.0

-0.5

-1.0

D

— 52 mm

-

19 tube bundle

• o ^ §* m a

-

""•T

*

'v *

O Flange lap location A A Flange tap location B V Flange tap location C Hollow symbols -ITS <a 12D

Flange tap location D

1

Filled symbols1

1T8 a 7D

1 0.54 0.67 0.73 Beta Ratio

Percent change in discharge coefficient vs. beta ratio with an elbow at 17D,

19 tube bundle flow conditioner at 7D or 12D, and 4 flange tap locations.

27
0.62

CD

• r—

o

£ 0.61

CDO

CJ

CD&o

tf 0.60

X!

o

Q

0.59

D = 104 mm

P = 0.43

No Flow Conditioner

O Flange top location A V Flange lop location C

Baseline

0.2 0.6 1.0 .4

Pipe Reynolds Number/ 10

Figure 25. Discharge coefficient vs. Reynolds number for the 0.43 beta ratio plate, elbow

at 17D, no flow conditioner, and 2 flange tap locations.

0.62

CD

• i—

o

CDOO

CD

OX) U

COo

0.61

0.60

0.59

D = 104 mm

/8 = 0.55

No Flow Conditioner

O Flange tap location A V Flange lap location C

Baseline

0.2 0.6 1.0 1.4 .8

Pipe Reynolds Number/10

Figure 26. Discharge coefficient vs. Reynolds number for the 0.55 beta ratio plate, elbow

at 17D, no flow conditioner, and 2 flange tap locations.

28
0.62

C

cuo

£ 0.61

CDO

U

CD£ 0.60

.C

o

w

0.59

o.:

D = 104 mm

|3 = 0.67

No Flow Conditioner

O Flange tap location A V Flange tip location C

Baseline

0.6 1.0 1.4

Pipe Reynolds Number/10

.8

Figure 27. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio plate, elbow

at 17D, no flow conditioner, and 2 flange tap locations.

CD

•c—

I

O

0.62

0.61

CDo

o

CD£

°- 60

o

C/Q

0.59

0.2

Figure 28.

D = 104 mm

= 0.73

No Flow Conditioner

O Flange lap location A V Flange tap location C

Baseline

I 0.6 1.0 1 .4

Pipe Reynolds Number/10

1.8

Discharge coefficient vs. Reynolds number for the 0.73 beta ratio plate, elbow

at 17D, no flow conditioner, and 2 flange tap locations.

29
o

1.0

0.5

0.0

01] C

CO -d

u

c

<uo

S-. -0.5

-1.0

D = 104 mm

No Flow Conditioner

.a. ©

Flange tap location A V Flange tap location C

V

O

Pipe Reynolds No. = 1.25 x 10*

0.43 0.55 0.67 0.73 Beta Ratio

Figure 29. Percent change in discharge coefficient vs. beta ratio with an elbow at 17D,

no flow conditioner, and 2 flange tap locations.

0.62

i—

i

o

o

o

fto

0.61 -

0.60 -

0.59

- D = 104 mm

- = 0.67

- 7 Lube bundle

- Q«

O

- A —fH^_ JQ ©

• a &

A

- O Flange tap location A--IT9 ® 12D

- A Flange lap location C--IT9 @ 12D 9 Flange tap location A--IT9 ® 7D A Flange tap location C--IT9 <3> TD

Baseline

1 0.6 1.0 1.4

Pipe Reynolds Number/10

Figure 30. Discharge coefficient vs. Reynolds number for the 0.67 beta ratio plate, elbow

at 17D, 7 tube bundle flow conditioner at 7D or 12D, and 2 flange tap

locations.

30
o

0)C

03 JCO

c

O

u

QL

1.0

0.5

0.0

-0.5

-1.0

D = 104 mm

/? = 0.67

7 and 19 tube bundle

O O

v ? •

O Flange top location A. IT9 V Flange lap location C. 1T9 • Flange lap location A. 1T1-1991 T Flange lap location C. 1T1-1991

I

Pipe Reynolds No. = 1.25 x 10*

10 15 20 Flow Conditioner Location. Pipe Diameters

Figure 31. Percent change in discharge coefficient vs. flow conditioner location wi

elbow at 17D, 7 or 19 tube bundle flow conditioner, and 2 flang

locations.

with an

e tap

0.62

C

CDo

CDOO

CDu

COO

0.61

Figure 32.

0.60 -

0.59

D = 104 mm

<8 = 0.73

7 tube bundle

• o

Si

O

O Flange tap location A-IT9 @ 12D A Flange tap location C-IT9 @ 12D • Flange tap location A-IT9 ® 7D

Flange tap location C-IT9 @ 7D

Baseline

1 . 0.6 1.0 A .8

Pipe Reynolds Number/10

Discharge coefficient vs. Reynolds number for the 0.73 beta ratio plate, elbow

at 17D, 7 tube bundle flow conditioner at 7D or 12D, and 2 flange tap

locations.

31
Figure 33.

o

• i—i

a;GOc

cC

1.0

0.5

0.0

G

O

I- -0.5

Q-

-1.0

D = 104 mm

- /? == 0.73

-

7 and 19 tube bundle

- O

O

<7 v

•

• O Flange tap location A. 1T9 T V Flange tap location C, 1T9

- • Flange tap location A. IT1- 1991 T Flange tap location C. 1T1-

1

1991 Pipe Reynolds No. •

1

= 1.25 x 10*

5 10 15 20 Flow Conditioner Location, Pipe Diameters

Percent change in discharge coefficient vs. flow conditioner location with an

elbow at 17D, 7 or 19 tube bundle flow conditioner, and 2 flange tap

locations.

0.62

C

o

0.61

O

CD

COo

0.59

Qd

V

O Flange tap location A V Flange tap location C Curve fit (both taps)

D = 154 mm

p = 0.37

Baseline

.5

0.2 0.6 1.0 .4

Pipe Reynolds Number/10

Figure 34. Discharge coefficient vs. Reynolds number for the 0.37 beta ratio plate,

oversize Sprenkle at 44D, and 2 flange tap locations.

32
0.62

C

CD

• I—

I

u

O

o

CDW)

COu

73

Figure 35.

0.61

0.60 -

0.59

- D = 154 mm

- P = 0.57

-

Baseline

. -Uk§ ^

^vv-4-^ v v

O Flange tap location A V Flange tap location C

Curve fit (both taps)

I 1 0.2 0.6 1.0 1.4

Pipe Reynolds Number/10

Discharge coefficient vs. Reynolds number for the 0.57 beta ratio plate,

oversize Sprenkle at 44D, and 2 flange tap locations.

Orifice

Plate

Tee

Figure 36. Test configuration, tee at 18D.

33
0.62

C

cu

•i—

o

0.6

CDO

U

<u£ 0.60

o

00

• 1—

Q

Figure 37.

0.59

D = 154 mm

= 0.37

19 tube bundle

Baseline O Flange tap location A-IT5 © 12D V Flange lap location C-1T5 9 12D • Flange tap location A-IT5 © 7D

Flange lap location C-1T5 9 7D

I I 0.2 0.6 1.0 6

Pipe Reynolds Number/10

1.4

Discharge coefficient vs. Reynolds number for the 0.37 beta ratio plate, tee

at 18D, 19 tube bundle flow conditioner at 7D or 12D, and 2 flange tap

locations.

Figure 38.

o

0)

OX) c

(0 o

c

CD

CJ

cu cu

1.0

0.5

0.0

-0.5

-1.0

D = 154 mm

/? = 0.37

^_

O Flange tap location A. IT5 V Flange tap location C. IT5 Pipe Reynolds No. = 1.0 x 10*

5 10 15 20 Flow Conditioner Location, Pipe Diameters

Percent change in discharge coefficient vs. flow conditioner location with a tee

at 18D, 19 tube bundle flow conditioner at 7D or 12D, and 2 flange tap

locations.

34
0.62

CD

• i—i o

0.61

0)o

u

0)

So 0.60

o

0.59

D = 154 mm

/S = 0.57

19 tube bundle

O Flange tap location A-IT5 © 12D V Flange tap location C-IT5 ® 12D • Flange tap location A-1T5 © 7D

Flange tap location C-IT5 ® 7D

Baseline

: •

0.2 0.6 1.0 6

Pipe Reynolds Number/10

1.4

Figure 39. Discharge coefficient vs. Reynolds number for the 0.57 beta ratio plate, tee

at 18D, 19 tube bundle flow conditioner at 7D or 12D, and 2 flange tap

locations.

1.0

o

c

CO x:u

+->c

o

0) 0u

0.5 -

0.0

-0.5

-1.0

D = 154 mm

p = 0.57

O Flange tap location A. 1T5 V Flange tap location C, IT5

©-

^7"

Pipe Reynolds No = 1.0 x 10*

J I

Figure 40.

5 10 15 20 Flow Conditioner Location, Pipe Diameters

Percent change in discharge coefficient vs. flow conditioner location with a tee

at 18D, 19 tube bundle flow conditioner at 7D or 12D, and 2 flange tap

locations.

35
Table 4. Measured and calculated quantities for 0.24 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location A, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 1 3.7824

042992- 2 3.7814

042992- 3 3.6957

042992- 4 3.6868

042992- 5 3.7827

042992- 6 3.7847

042992- 7 3.7662

042992- 8 3.7654

051392- 1 3.8391

051392- 2 3.8402

051392- 3 3.8633

051392- 4 3.8618

051392- 5 3.7642

051392- 6 3.7703

051392- 7 3.8012

051392- 8 3.8003

051392- 1 3.8380

051392- 2 3.8388

051392- 3 3.8010

051392- 4 3.8029

051392- 5 3.8543

051392- 6 3.8512

051392- 7 3.7563

051392- 8 3.7600

051892- 1 3.9458

051892- 2 3.9401 051892- 3 3.9902

051892- 4 3.9877

051892- 5 3.9655

051892- 6 3.9641 051892- 7 3.8825

051892- 8 3.8836

Table 5. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/106)

289.43 44.34 73.088 0.1935 0.2585 0.5977 0.6002 289.18 44.37 72.140 0.1923 0.2570 0.5976 0.6001 288.33 43.50 100.611 0.2252 0.3020 0.5975 0.6011 288.32 43.40 100.266 0.2248 0.3015 0.5982 0.6018

288.03 44.58 125.118 0.2547 0.3414 0.5978 0.6022 288.02 44.61 125.697 0.2555 0.3426 0.5982 0.6026

287.68 44.44 149.252 0.2783 0.3735 0.5982 0.6035 287.79 44.41 148.289 0.2770 0.3716 0.5975 0.6027

287.99 45.26 96.975 0.2258 0.3026 0.5986 0.6020

287.65 45.32 95.680 0.2246 0.3012 0.5990 0.6023 287.80 45.57 76.906 0.2016 0.2702 0.5987 0.6014

287.72 45.57 77.108 0.2014 0.2699 0.5974 0.6000

287.06 44.53 176.767 0.3035 0.4079 0.5979 0.6041 286.96 44.61 175.296 0.3025 0.4067 0.5980 0.6041 287.04 44.97 137.754 0.2686 0.3609 0.5979 0.6027

287.06 44.96 138.857 0.2701 0.3629 0.5990 0.6038

287.93 45.25 99.315 0.2282 0.3058 0.5978 0.6012 287.72 45.30 97.334 0.2263 0.3035 0.5986 0.6020 287.34 44.91 139.129 0.2695 0.3618 0.5972 0.6020

287.32 44.94 137.239 0.2684 0.3604 0.5989 0.6037

287.57 45.51 78.778 0.2036 0.2731 0.5979 0.6006

287.62 45.46 80.003 0.2048 0.2746 0.5970 0.5997

286.97 44.45 183.933 0.3093 0.4159 0.5976 0.6041 286.70 44.54 180.796 0.3070 0.4130 0.5978 0.6042 289.10 46.32 133.241 0.2680 0.3577 0.5980 0.6025 288.46 46.37 131.779 0.2661 0.3558 0.5968 0.6013 288.66 46.92 72.774 0.1984 0.2649 0.5972 0.5996

288.61 46.90 73.393 0.1991 0.2659 0.5968 0.5993 288.34 46.69 97.635 0.2296 0.3069 0.5972 0.6005

288.21 46.69 97.406 0.2294 0.3068 0.5975 0.6008 287.49 45.85 184.582 0.3145 0.4217 0.5974 0.6037

287.36 45.89 181.029 0.3116 0.4179 0.5976 0.6038

Measured and calculated quantities for 0.24 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location B, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 1 3.7824

042992- 2 3.7814

042992- 3 3.6957

042992- 4 3.6868

042992- 5 3.7827

042992- 6 3.7847

042992- 7 3.7662

042992- 8 3.7654

051392- 1 3.8391

051392- 2 3.8402

051392- 3 3.8633

051392- 4 3.8618

051392- 5 3.7642

051392- 6 3.7703

051392- 7 3.8012

051392- 8 3.8003

051392- 1 3.8380

051392- 2 3.8388

051392- 3 3.8010

051392- 4 3.8029

051392- 5 3.8543

051392- 6 3.8512

051392- 7 3.7563

051392- 8 3.7600

051892- 1 3.9458

051892- 2 3.9401

051892- 3 3.9902

051892- 4 3.9877

051892- 5 3.9655

051892- 6 3.9641 051892- 7 3.8825

051892- 8 3.8836

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

289.43 44.34 73.099 0.1935 0.2585 0.5976 0.6002 289.18 44.37 72.146 0.1923 0.2570 0.5976 0.6001 288.33 43.50 100.595 0.2252 0.3020 0.5976 0.6012 288.32 43.40 100.267 0.2248 0.3015 0.5982 0.6017

288.03 44.58 125.123 0.2547 0.3414 0.5978 0.6022 288.02 44.61 125.682 0.2555 0.3426 0.5983 0.6027

287.68 44.44 149.224 0.2783 0.3735 0.5983 0.6035 287.79 44.41 148.275 0.2770 0.3716 0.5975 0.6027

287.99 45.26 97.007 0.2258 0.3026 0.5985 0.6019

287.65 45.32 95.692 0.2246 0.3012 0.5989 0.6022 287.80 45.57 76.917 0.2016 0.2702 0.5987 0.6013 287.72 45.57 77.117 0.2014 0.2699 0.5973 0.6000 287.06 44.53 176.781 0.3035 0.4079 0.5979 0.6041 286.96 44.61 175.309 0.3025 0.4067 0.5979 0.6041 287.04 44.97 137.779 0.2686 0.3609 0.5978 0.6026

287.06 44.96 138.882 0.2701 0.3629 0.5989 0.6038

287.93 45.25 99.337 0.2282 0.3058 0.5977 0.6012

287.72 45.30 97.366 0.2263 0.3035 0.5985 0.6019

287.34 44.91 139.122 0.2695 0.3618 0.5972 0.6020 287.32 44.94 137.270 0.2684 0.3604 0.5988 0.6036 287.57 45.51 78.794 0.2036 0.2731 0.5978 0.6005 287.62 45.46 80.027 0.2048 0.2746 0.5969 0.5996 286.97 44.45 183.945 0.3093 0.4159 0.5976 0.6041 286.70 44.54 180.822 0.3070 0.4130 0.5978 0.6042 289.10 46.32 133.232 0.2680 0.3577 0.5980 0.6025 288.46 46.37 131.786 0.2661 0.3558 0.5968 0.6013 288.66 46.92 72.783 0.1984 0.2649 0.5971 0.5995

288.61 46.90 73.407 0.1991 0.2659 0.5968 0.5992 288.34 46.69 97.634 0.2296 0.3069 0.5972 0.6005

288.21 46.69 97.393 0.2294 0.3068 0.5976 0.6008 287.49 45.85 184.541 0.3145 0.4217 0.5975 0.6038 287.36 45.89 180.982 0.3116 0.4179 0.5977 0.6039

36
Table 6. Measured and calculated quantities for 0.24 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location C, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 1 3.7824

042992- 2 3.7814

042992- 3 3.6957

042992- 4 3.6868

042992- 5 3.7827

042992- 6 3.7847

042992- 7 3.7662

042992- 8 3.7654

051392- 1 3.8391

051392- 2 3.8402

051392- 3 3.8633

051392- 4 3.8618

051392- 5 3.7642

051392- 6 3.7703

051392- 7 3.8012

051392- 8 3.8003

051392- 1 3.8380

051392- 2 3.8388

051392- 3 3.8010

051392- 4 3.8029

051392- 5 3.8543

051392- 6 3.8512

051392- 7 3.7563

051392- 8 3.7600

051892- 1 3.9458

051892- 2 3.9401

051892- 3 3.9902

051892- 4 3.9877

051892- 5 3.9655

051892- 6 3.9641

051892- 7 3.8825

051892- 8 3.8836

Table 7. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) (/10

6

)

289.43 44.34 73.082 0.1935 0.2585 0.5977 0.6003 289.18 44.37 72.120 0.1923 0.2570 0.5977 0.6002 288.33 43.50 100.563 0.2252 0.3020 0.5977 0.6013 288.32 43.40 100.230 0.2248 0.3015 0.5983 0.6019

288.03 44.58 125.064 0.2547 0.3414 0.5980 0.6023

288.02 44.61 125.593 0.2555 0.3426 0.5985 0.6029 287.68 44.44 149.158 0.2783 0.3735 0.5984 0.6036

287.79 44.41 148.208 0.2770 0.3716 0.5976 0.6028

287.99 45.26 96.991 0.2258 0.3026 0.5986 0.6019

287.65 45.32 95.669 0.2246 0.3012 0.5990 0.6023 287.80 45.57 76.925 0.2016 0.2702 0.5987 0.6013

287.72 45.57 77.111 0.2014 0.2699 0.5973 0.6000 287.06 44.53 176.741 0.3035 0.4079 0.5979 0.6042 286.96 44.61 175.281 0.3025 0.4067 0.5980 0.6042 287.04 44.97 137.783 0.2686 0.3609 0.5978 0.6026 287.06 44.96 138.847 0.2701 0.3629 0.5990 0.6039

287.93 45.25 99.334 0.2282 0.3058 0.5977 0.6012 287.72 45.30 97.380 0.2263 0.3035 0.5985 0.6018

287.34 44.91 139.124 0.2695 0.3618 0.5972 0.6020 287.32 44.94 137.263 0.2684 0.3604 0.5988 0.6036 287.57 45.51 78.785 0.2036 0.2731 0.5979 0.6006

287.62 45.46 80.016 0.2048 0.2746 0.5969 0.5996 286.97 44.45 183.920 0.3093 0.4159 0.5977 0.6041 286.70 44.54 180.785 0.3070 0.4130 0.5979 0.6042 289.10 46.32 133.208 0.2680 0.3577 0.5981 0.6025 288.46 46.37 131.778 0.2661 0.3558 0.5969 0.6013 288.66 46.92 72.799 0.1984 0.2649 0.5971 0.5995

288.61 46.90 73.412 0.1991 0.2659 0.5968 0.5992 288.34 46.69 97.683 0.2296 0.3069 0.5971 0.6003

288.21 46.69 97.430 0.2294 0.3068 0.5974 0.6007

287.49 45.85 184.528 0.3145 0.4217 0.5975 0.6038 287.36 45.89 180.960 0.3116 0.4179 0.5977 0.6039 Measured and calculated quantities for 0.24 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location D, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 5 3.7827

042992- 6 3.7847

042992- 7 3.7662

042992- 8 3.7654

051392- 1 3.8391

051392- 2 3.8402

051392- 3 3.8633

051392- 4 3.8618

051392- 5 3.7642

051392- 6 3.7703

051392- 7 3.8012

051392- 8 3.8003

051392- 1 3.8380

051392- 2 3.8388

051392- 3 3.8010

051392- 4 3.8029

051392- 5 3.8543

051392- 6 3.8512

051392- 7 3.7563

051392- 8 3.7600

051892- 1 3.9458

051892- 2 3.9401 051892- 3 3.9902

051892- 4 3.9877

051892- 5 3.9655

051892- 6 3.9641 051892- 7 3.8825

051892- 8 3.8836

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

288.03 44.58 125.119 0.2547 0.3414 0.5978 0.6022 288.02 44.61 125.694 0.2555 0.3426 0.5982 0.6026 287.68 44.44 149.244 0.2783 0.3735 0.5982 0.6035 287.79 44.41 148.286 0.2770 0.3716 0.5975 0.6027

287.99 45.26 97.079 0.2258 0.3026 0.5983 0.6017

287.65 45.32 95.734 0.2246 0.3012 0.5988 0.6021 287.80 45.57 76.992 0.2016 0.2702 0.5984 0.6010 287.72 45.57 77.175 0.2014 0.2699 0.5971 0.5997

287.06 44.53 176.890 0.3035 0.4079 0.5977 0.6039 286.96 44.61 175.438 0.3025 0.4067 0.5977 0.6039

287.04 44.97 137.874 0.2686 0.3609 0.5976 0.6024 287.06 44.96 138.960 0.2701 0.3629 0.5988 0.6036

287.93 45.25 99.417 0.2282 0.3058 0.5975 0.6009

287.72 45.30 97.460 0.2263 0.3035 0.5982 0.6016

287.34 44.91 139.240 0.2695 0.3618 0.5969 0.6018

287.32 44.94 137.382 0.2684 0.3604 0.5986 0.6034 287.57 45.51 78.848 0.2036 0.2731 0.5976 0.6003

287.62 45.46 80.085 0.2048 0.2746 0.5966 0.5994 286.97 44.45 184.044 0.3093 0.4159 0.5975 0.6039

286.70 44.54 180.922 0.3070 0.4130 0.5976 0.6040

289.10 46.32 133.284 0.2680 0.3577 0.5979 0.6024 288.46 46.37 131.826 0.2661 0.3558 0.5967 0.6012 288.66 46.92 72.833 0.1984 0.2649 0.5969 0.5993

288.61 46.90 73.449 0.1991 0.2659 0.5966 0.5990

288.34 46.69 97.738 0.2296 0.3069 0.5969 0.6002

288.21 46.69 97.480 0.2294 0.3068 0.5973 0.6005 287.49 45.85 184.628 0.3145 0.4217 0.5974 0.6037

287.36 45.89 181.057 0.3116 0.4179 0.5976 0.6037

37
Table 8. Measured and calculated quantities for 0.40 (2C) beta ratio, oversize Sprenkle at 44 pipe

diameters, flange tap location A, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 1 3.8925

042992- 2 3.8919

042992- 3 3.8384

042992- 4 3.8429

042992- 5 3.7782

042992- 6 3.7804

042992- 7 3.8511 042992- 8 3.8481

043092- 1 3.8693

043092- 2 3.8680

043092- 3 3.9028

043092- 4 3.9013

043092- 5 3.8167

043092- 6 3.8114

043092- 7 3.9143

043092- 8 3.9173

051992- 1 3.8561

051992- 2 3.8574

051992- 3 3.8108

051992- 4 3.8079

051992- 5 3.8811

051992- 6 3.8799

051992- 7 3.9008

051992- 8 3.9015

Table 9. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) . (kg/s) (/10

6

)

288.49 45.80 24.440 0.3126 0.4181 0.5982 0.5990 288.19 45.84 24.505 0.3131 0.4190 0.5979 0.5987

287.54 45.32 75.994 0.5501 0.7379 0.5983 0.6009

287.02 45.47 75.142 0.5482 0.7362 0.5987 0.6012 286.46 44.80 130.589 0.7198 0.9687 0.5988 0.6032 286.67 44.78 129.276 0.7166 0.9639 0.5993 0.6037

287.18 45.54 52.347 0.4571 0.6136 0.5984 0.6002

286.94 45.54 52.869 0.4591 0.6167 0.5980 0.5998

287.51 45.69 72.933 0.5410 0.7255 0.5983 0.6007

287.97 45.60 72.913 0.5416 0.7255 0.5997 0.6021 287.94 46.01 42.729 0.4149 0.5555 0.5983 0.5997

287.89 46.01 42.911 0.4158 0.5569 0.5985 0.5999 287.06 45.15 123.630 0.7031 0.9445 0.5991 0.6033 286.73 45.14 125.129 0.7079 0.9518 0.5995 0.6038

288.09 46.13 25.215 0.3187 0.4265 0.5981 0.5990 288.09 46.16 25.445 0.3201 0.4284 0.5979 0.5988

287.02 45.63 74.679 0.5469 0.7343 0.5980 0.6005 287.38 45.58 74.598 0.5468 0.7336 0.5986 0.6011 286.84 45.12 124.291 0.7044 0.9468 0.5988 0.6030

287.11 45.04 123.140 0.7004 0.9408 0.5987 0.6029

287.25 45.88 43.340 0.4163 0.5585 0.5970 0.5984 287.19 45.88 43.673 0.4180 0.5609 0.5972 0.5986

287.42 46.09 25.539 0.3200 0.4290 0.5970 0.5978 287.69 46.05 25.761 0.3217 0.4310 0.5979 0.5987

Measured and calculated quantities for 0.40 (2C) beta ratio, oversize Sprenkle at 44 pipe

diameters, flange tap location B, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 1 3.8925

042992- 2 3.8919

042992- 3 3.8384

042992- 4 3.8429

042992- 5 3.7782

042992- 6 3.7804

042992- 7 3.8511

042992- 8 3.8481

043092- 1 3.8693

043092- 2 3.8680

043092- 3 3.9028

043092- 4 3.9013

043092- 5 3.8167

043092- 6 3.8114

043092- 7 3.9143

043092- 8 3.9173

051992- 1 3.8561 051992- 2 3.8574

051992- 3 3.8108

051992- 4 3.8079

051992- 5 3.8811 051992- 6 3.8799

051992- 7 3.9008

051992- 8 3.9015

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

288.49 45.80 24.466 0.3126 0.4181 0.5978 0.5986

288.19 45.84 24.519 0.3131 0.4190 0.5977 0.5985 287.54 45.32 76.007 0.5501 0.7379 0.5982 0.6008

287.02 45.47 75.160 0.5482 0.7362 0.5986 0.6011 286.46 44.80 130.579 0.7198 0.9687 0.5988 0.6033 286.67 44.78 129.272 0.7166 0.9639 0.5993 0.6037

287.18 45.54 52.370 0.4571 0.6136 0.5983 0.6001 286.94 45.54 52.887 0.4591 0.6167 0.5979 0.5997

287.51 45.69 72.933 0.5410 0.7255 0.5983 0.6007

287.97 45.60 72.903 0.5416 0.7255 0.5997 0.6022 287.94 46.01 42.728 0.4149 0.5555 0.5983 0.5997

287.89 46.01 42.920 0.4158 0.5569 0.5984 0.5998 287.06 45.15 123.644 0.7031 0.9445 0.5990 0.6032 286.73 45.14 125.105 0.7079 0.9518 0.5996 0.6039 288.09 46.13 25.224 0.3187 0.4265 0.5980 0.5989 288.09 46.16 25.458 0.3201 0.4284 0.5978 0.5986

287.02 45.63 74.675 0.5469 0.7343 0.5981 0.6006 287.38 45.58 74.617 0.5468 0.7336 0.5986 0.6011 286.84 45.12 124.279 0.7044 0.9468 0.5988 0.6030

287.11 45.04 123.185 0.7004 0.9408 0.5986 0.6028

287.25 45.88 43.356 0.4163 0.5585 0.5969 0.5983 287.19 45.88 43.701 0.4180 0.5609 0.5970 0.5984 287.42 46.09 25.558 0.3200 0.4290 0.5968 0.5976 287.69 46.05 25.776 0.3217 0.4310 0.5977 0.5986

38
Table 10. Measured and calculated quantities for 0.40 (2C) beta diameters, flange tap location C, 52 mm orifice meter.

ratio, oversize Sprenkle at 44 pipe

Run ID Pressure

(MPa)

042992- 1 3.8925

042992- 2 3.8919

042992- 3 3.8384

042992- 4 3.8429

042992- 5 3.7782

042992- 6 3.7804

042992- 7 3.8511

042992- 8 3.8481 043092- 1 3.8693

043092- 2 3.8680

043092- 3 3.9028

043092- 4 3.9013

043092- 5 3.8167

043092- 6 3.8114

043092- 7 3.9143

043092- 8 3.9173

051992- 1 3.8561

051992- 2 3.8574

051992- 3 3.8108

051992- 4 3.8079

051992- 5 3.8811 051992- 6 3.8799

051992- 7 3.9008

051992- 8 3.9015

Table 11. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

) 288.49 45.80 24.456 0.3126 0.4181 0.5980 0.5988 288.19 45.84 24.517 0.3131 0.4190 0.5977 0.5986

287.54 45.32 75.974 0.5501 0.7379 0.5984 0.6009

287.02 45.47 75.129 0.5482 0.7362 0.5987 0.6013 286.46 44.80 130.526 0.7198 0.9687 0.5989 0.6034 286.67 44.78 129.210 0.7166 0.9639 0.5994 0.6039

287.18 45.54 52.358 0.4571 0.6136 0.5984 0.6001 286.94 45.54 52.850 0.4591 0.6167 0.5981 0.5999

287.51 45.69 72.930 0.5410 0.7255 0.5983 0.6008 287.97 45.60 72.944 0.5416 0.7255 0.5996 0.6020 287.94 46.01 42.762 0.4149 0.5555 0.5981 0.5995 287.89 46.01 42.927 0.4158 0.5569 0.5984 0.5998 287.06 45.15 123.666 0.7031 0.9445 0.5990 0.6032 286.73 45.14 125.177 0.7079 0.9518 0.5994 0.6037

288.09 46.13 25.229 0.3187 0.4265 0.5980 0.5988 288.09 46.16 25.469 0.3201 0.4284 0.5976 0.5985 287.02 45.63 74.673 0.5469 0.7343 0.5981 0.6006 287.38 45.58 74.610 0.5468 0.7336 0.5986 0.6011 286.84 45.12 124.332 0.7044 0.9468 0.5987 0.6029

287.11 45.04 123.147 0.7004 0.9408 0.5987 0.6028

287.25 45.88 43.328 0.4163 0.5585 0.5971 0.5985 287.19 45.88 43.658 0.4180 0.5609 0.5973 0.5987

287.42 46.09 25.520 0.3200 0.4290 0.5972 0.5981 287.69 46.05 25.724 0.3217 0.4310 0.5983 0.5992 Measured and calculated quantities for 0.40 (2C) beta ratio, oversize Sprenkle at 44 pipe

diameters, flange tap location D, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 1 3.8925

042992- 2 3.8919

042992- 3 3.8384

042992- 4 3.8429

042992- 5 3.7782

042992- 6 3.7804

042992- 7 3.8511 042992- 8 3.8481 043092- 1 3.8693

043092- 2 3.8680

043092- 3 3.9028

043092- 4 3.9013

043092- 5 3.8167

043092- 6 3.8114

043092- 7 3.9143

043092- 8 3.9173

051992- 1 3.8561

051992- 2 3.8574

051992- 3 3.8108

051992- 4 3.8079

051992- 5 3.8811

051992- 6 3.8799

051992- 7 3.9008

051992- 8 3.9015

Table 12. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

288.49 45.80 24.501 0.3126 0.4181 0.5974 0.5982 288.19 45.84 24.563 0.3131 0.4190 0.5972 0.5980 287.54 45.32 76.118 0.5501 0.7379 0.5978 0.6004 287.02 45.47 75.217 0.5482 0.7362 0.5984 0.6009 286.46 44.80 130.693 0.7198 0.9687 0.5985 0.6030 286.67 44.78 129.342 0.7166 0.9639 0.5991 0.6035 287.18 45.54 52.431 0.4571 0.6136 0.5980 0.5997

286.94 45.54 52.946 0.4591 0.6167 0.5976 0.5994

287.51 45.69 73.033 0.5410 0.7255 0.5979 0.6003 287.97 45.60 73.024 0.5416 0.7255 0.5992 0.6017

287.94 46.01 42.810 0.4149 0.5555 0.5977 0.5992 287.89 46.01 42.982 0.4158 0.5569 0.5980 0.5994 287.06 45.15 123.801 0.7031 0.9445 0.5987 0.6029

286.73 45.14 125.344 0.7079 0.9518 0.5990 0.6033 288.09 46.13 25.263 0.3187 0.4265 0.5975 0.5984 288.09 46.16 25.497 0.3201 0.4284 0.5973 0.5981 287.02 45.63 74.761 0.5469 0.7343 0.5977 0.6002 287.38 45.58 74.694 0.5468 0.7336 0.5982 0.6007

286.84 45.12 124.467 0.7044 0.9468 0.5983 0.6026

287.11 45.04 123.347 0.7004 0.9408 0.5982 0.6024

287.25 45.88 43.378 0.4163 0.5585 0.5967 0.5982 287.19 45.88 43.714 0.4180 0.5609 0.5969 0.5983 287.42 46.09 25.541 0.3200 0.4290 0.5970 0.5978

287.69 46.05 25.764 0.3217 0.4310 0.5979 0.5987

Measured and calculated quantities for 0.40 (2D) beta ratio, oversize Sprenkle at 44 pipe

diameters, flange tap location A, 52 mm orifice meter.

Run ID Pressure

(MPa)

091792- 1 3.9308

091792- 2 3.9304

091792- 3 3.8034

091792- 4 3.8061

091792- 5 3.8451

091792- 6 3.8427

091792- 7 3.8704

091792- 8 3.8695

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) (/10

6

)

291.47 45.73 24.418 0.3126 0.4149 0.5981 0.5989

290.45 45.90 24.439 0.3132 0.4167 0.5978 0.5986

288.84 44.68 123.282 0.7004 0.9369 0.5999 0.6041 288.33 44.80 121.272 0.6958 0.9318 0.6001 0.6043 288.46 45.24 76.552 0.5533 0.7404 0.5993 0.6019

288.68 45.18 76.845 0.5541 0.7412 0.5995 0.6021 288.96 45.46 43.700 0.4180 0.5586 0.5990 0.6004 288.72 45.49 43.907 0.4190 0.5602 0.5988 0.6002

39
Table 13. Measured and calculated quantities for 0.40 (2D) beta diameters, flange tap location B, 52 mm orifice meter.

ratio, oversize Sprenkle at 44 pipe

Run ID

091792- 1 091792- 2 091792- 3 091792- 4 091792- 5 091792- 6 091792- 7 091792- 8

Table 14.

Pressure

(MPa)

3.9308

3.9304

3.8034

3.8061

3.8451 3.8427

3.8704

3.8695

Measured and calculated quantities for 0.40 (2D) beta ratio, oversize Sprenkle at 44 pipe

diameters, flange tap location C, 52 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) </10

6

)

291.47 45.73 24.444 0.3126 0.4149 0.5977 0.5985 290.45 45.90 24.467 0.3132 0.4167 0.5975 0.5983

288.84 44.68 123.371 0.7004 0.9369 0.5997 0.6039

288.33 44.80 121.350 0.6958 0.9318 0.5999 0.6041 288.46 45.24 76.603 0.5533 0.7404 0.5991 0.6017

288.68 45.18 76.874 0.5541 0.7412 0.5994 0.6020 288.96 45.46 43.742 0.4180 0.5586 0.5987 0.6002

288.72 45.49 43.951 0.4190 0.5602 0.5985 0.5999

Run ID

091792- 1 091792-

091792-

091792-

091792-

091792-

091792- 091792- 8

Table 15.

Pressure

(MPa)

3.9308

3.9304 3.8034

3.8061

3.8451 3.8427

3.8704

3.8695

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) (/10

6

)

291.47 45.73 24.318 0.3126 0.4149 0.5993 0.6001 290.45 45.90 24.335 0.3132 0.4167 0.5991 0.5999

288.84 44.68 123.472 0.7004 0.9369 0.5994 0.6036

288.33 44.80 121.466 0.6958 0.9318 0.5996 0.6038

288.46 45.24 76.624 0.5533 0.7404 0.5990 0.6016

288.68 45.18 76.898 0.5541 0.7412 0.5993 0.6019 288.96 45.46 43.672 0.4180 0.5586 0.5992 0.6006

288.72 45.49 43.893 0.4190 0.5602 0.5989 0.6003

Measured and calculated quantities for 0.40 (2D) beta ratio, oversize Sprenkle at 44 pipe

diameters, flange tap location D, 52 mm orifice meter.

Run ID Pressure

(MPa)

091792- 1 3.9308

091792- 2 3.9304

091792- 3 3.8034

091792- 4 3.8061

091792- 5 3.8451

091792- 6 3.8427

091792- 7 3.8704

091792- 8 3.8695

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

291.47 45.73 24.396 0.3126 0.4149 0.5983 0.5991 290.45 45.90 24.418 0.3132 0.4167 0.5981 0.5989

288.84 44.68 123.297 0.7004 0.9369 0.5999 0.6041 288.33 44.80 121.295 0.6958 0.9318 0.6001 0.6042 288.46 45.24 76.575 0.5533 0.7404 0.5992 0.6018 288.68 45.18 76.847 0.5541 0.7412 0.5995 0.6021 288.96 45.46 43.702 0.4180 0.5586 0.5990 0.6004

288.72 45.49 43.930 0.4190 0.5602 0.5986 0.6001

40
Table 16. Measured and calculated quantities for 0.48 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location A, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 1 3.9036

042992- 2 3.9084

042992- 3 3.9074

042992- 4 3.7594

042992- 5 3.7568

042992- 6 3.7563

042992- 7 3.8169

042992- 8 3.8182

042992- 9 3.8708

042992- 10 3.8662

043092- 1 3.7495

043092- 2 3.7794

043092- 3 3.8530

043092- 4 3.8444

043092- 5 3.8918

043092- 6 3.8924

043092- 7 3.8018

043092- 8 3.8103

051892- 1 3.9495

051892- 2 3.9503

051892- 3 4.0082

051892- 4 4.0089

051892- 5 3.9172

051892- 6 3.9164

051892- 8 3.8637

051892- 9 3.8644

Table 17. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

288.11 46.00 12.491 0.3374 0.4516 0.6043 0.6047

288.21 46.03 12.391 0.3361 0.4498 0.6042 0.6046 288.28 46.01 12.409 0.3367 0.4505 0.6050 0.6054 286.53 44.56 133.525 1.0937 1.4721 0.6046 0.6091 286.41 44.55 128.684 1.0669 1.4364 0.6010 0.6053 286.13 44.59 129.452 1.0731 1.4457 0.6024 0.6068

286.53 45.25 78.116 0.8400 1.1298 0.6044 0.6070 287.00 45.18 76.006 0.8270 1.1111 0.6038 0.6063 287.06 45.79 38.147 0.5877 0.7889 0.6028 0.6040 287.09 45.73 38.609 0.5912 0.7936 0.6031 0.6044 286.46 44.45 130.661 1.0804 1.4546 0.6046 0.6090

287.31 44.66 130.432 1.0830 1.4545 0.6052 0.6095 287.08 45.58 41.997 0.6157 0.8266 0.6032 0.6045 286.52 45.57 42.464 0.6198 0.8334 0.6039 0.6052 287.57 45.95 12.773 0.3408 0.4568 0.6039 0.6043 287.67 45.94 12.936 0.3430 0.4597 0.6041 0.6045 287.08 44.97 74.949 0.8215 1.1037 0.6054 0.6079 287.10 45.07 74.455 0.8181 1.0989 0.6042 0.6067

286.93 46.75 37.775 0.5910 0.7929 0.6030 0.6042 286.56 46.83 37.705 0.5910 0.7936 0.6030 0.6043 287.52 47.34 12.319 0.3405 0.4558 0.6053 0.6056 287.57 47.34 12.388 0.3407 0.4560 0.6040 0.6043

286.95 46.36 73.743 0.8260 1.1085 0.6045 0.6069

286.33 46.46 73.296 0.8227 1.1057 0.6032 0.6056

285.74 45.94 124.390 1.0727 1.4447 0.6055 0.6096 285.99 45.90 125.034 1.0733 1.4447 0.6045 0.6086

Measured and calculated quantities for 0.48 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location B, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 1 3.9036

042992- 2 3.9084

042992- 3 3.9074

042992- 4 3.7594

042992- 5 3.7568

042992- 6 3.7563

042992- 7 3.8169

042992- 8 3.8182

042992- 9 3.8708

042992- 10 3.8662

043092- 1 3.7495

043092- 2 3.7794

043092- 3 3.8530

043092- 4 3.8444

043092- 5 3.8918

043092- 6 3.8924

043092- 7 3.8018

043092- 8 3.8103

051892- 1 3.9495

051892- 2 3.9503

051892- 3 4.0082

051892- 4 4.0089

051892- 5 3.9172

051892- 6 3.9164

051892- 8 3.8637

051892- 9 3.8644

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

288.11 46.00 12.550 0.3374 0.4516 0.6029 0.6033

288.21 46.03 12.457 0.3361 0.4498 0.6026 0.6030 288.28 46.01 12.475 0.3367 0.4505 0.6034 0.6038

286.53 44.56 133.493 1.0937 1.4721 0.6047 0.6092

286.41 44.55 128.657 1.0669 1.4364 0.6011 0.6054

286.13 44.59 129.426 1.0731 1.4457 0.6025 0.6068

286.53 45.25 78.114 0.8400 1.1298 0.6044 0.6070

287.00 45.18 75.991 0.8270 1.1111 0.6038 0.6063 287.06 45.79 38.158 0.5877 0.7889 0.6027 0.6040 287.09 45.73 38.614 0.5912 0.7936 0.6031 0.6044 286.46 44.45 130.633 1.0804 1.4546 0.6047 0.6091

287.31 44.66 130.335 1.0830 1.4545 0.6054 0.6098

287.08 45.58 42.014 0.6157 0.8266 0.6030 0.6044 286.52 45.57 42.471 0.6198 0.8334 0.6038 0.6052 287.57 45.95 12.777 0.3408 0.4568 0.6038 0.6042 287.67 45.94 12.940 0.3430 0.4597 0.6040 0.6044 287.08 44.97 74.947 0.8215 1.1037 0.6054 0.6079 287.10 45.07 74.455 0.8181 1.0989 0.6042 0.6067

286.93 46.75 37.783 0.5910 0.7929 0.6029 0.6041 286.56 46.83 37.716 0.5910 0.7936 0.6030 0.6042 287.52 47.34 12.352 0.3405 0.4558 0.6044 0.6048 287.57 47.34 12.418 0.3407 0.4560 0.6032 0.6036

286.95 46.36 73.750 0.8260 1.1085 0.6045 0.6068

286.33 46.46 73.303 0.8227 1.1057 0.6032 0.6056

285.74 45.94 124.375 1.0727 1.4447 0.6056 0.6096

285.99 . 45.90 124.986 1.0733 1.4447 0.6047 0.6088

41
Table 18. Measured and calculated quantities for 0.48 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location C, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 1 3.9036

042992- 2 3.9084

042992- 3 3.9074

042992- 4 3.7594

042992- 5 3.7568

042992- 6 3.7563

042992- 7 3.8169

042992- 8 3.8182

042992- 9 3.8708

042992- 10 3.8662

043092- 1 3.7495

043092- 2 3.7794

043092- 3 3.8530

043092- 4 3.8444

043092- 5 3.8918

043092- 6 3.8924

043092- 7 3.8018

043092- 8 3.8103

051892- 1 3.9495

051892- 2 3.9503

051892- 3 4.0082

051892- 4 4.0089

051892- 5 3.9172

051892- 6 3.9164

051892- 8 3.8637

051892- 9 3.8644

Table 19. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) (/10

6

)

288.11 46.00 12.541 0.3374 0.4516 0.6031 0.6035

288.21 46.03 12.447 0.3361 0.4498 0.6028 0.6032 288.28 46.01 12.461 0.3367 0.4505 0.6037 0.6041 286.53 44.56 133.447 1.0937 1.4721 0.6048 0.6093

286.41 44.55 128.617 1.0669 1.4364 0.6012 0.6055 286.13 44.59 129.367 1.0731 1.4457 0.6026 0.6070

286.53 45.25 78.073 0.8400 1.1298 0.6046 0.6072 287.00 45.18 75.983 0.8270 1.1111 0.6039 0.6064 287.06 45.79 38.136 0.5877 0.7889 0.6029 0.6041 287.09 45.73 38.592 0.5912 0.7936 0.6033 0.6045 286.46 44.45 130.679 1.0804 1 .4546 0.6045 0.6090

287.31 44.66 130.405 1.0830 1.4545 0.6052 0.6096

287.08 45.58 42.022 0.6157 0.8266 0.6030 0.6044 286.52 45.57 42.487 0.6198 0.8334 0.6037 0.6051 287.57 45.95 12.782 0.3408 0.4568 0.6037 0.6041 287.67 45.94 12.944 0.3430 0.4597 0.6039 0.6043 287.08 44.97 74.982 0.8215 1.1037 0.6053 0.6077

287.10 45.07 74.480 0.8181 1.0989 0.6041 0.6066

286.93 46.75 37.819 0.5910 0.7929 0.6026 0.6038 286.56 46.83 37.760 0.5910 0.7936 0.6026 0.6038

287.52 47.34 12.379 0.3405 0.4558 0.6038 0.6042 287.57 47.34 12.447 0.3407 0.4560 0.6025 0.6029

286.95 46.36 73.788 0.8260 1.1085 0.6043 0.6067

286.33 46.46 73.355 0.8227 1.1057 0.6030 0.6053

285.74 45.94 124.422 1.0727 1.4447 0.6054 0.6095 285.99 45.90 124.981 1.0733 1.4447 0.6047 0.6088

Measured and calculated quantities for 0.48 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location D, 52 mm orifice meter.

Run ID Pressure

(MPa)

042992- 1 3.9036

042992- 2 3.9084

042992- 3 3.9074

042992- 4 3.7594

042992- 5 3.7568

042992- 6 3.7563

042992- 7 3.8169

042992- 8 3.8182

042992- 9 3.8708

042992- 10 3.8662

043092- 1 3.7495

043092- 2 3.7794

043092- 3 3.8530

043092- 4 3.8444

043092- 5 3.8918

043092- 6 3.8924

043092- 7 3.8018

043092- 8 3.8103

051892- 1 3.9495

051892- 2 3.9503

051892- 3 4.0082

051892- 4 4.0089

051892- 5 3.9172

051892- 6 3.9164

051892- 8 3.8637

051892- 9 3.8644

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

288.11 46.00 12.580 0.3374 0.4516 0.6022 0.6026

288.21 46.03 12.489 0.3361 0.4498 0.6018 0.6022 288.28 46.01 12.504 0.3367 0.4505 0.6027 0.6031 286.53 44.56 133.647 1.0937 1.4721 0.6044 0.6089

286.41 44.55 128.811 1.0669 1.4364 0.6007 0.6050

286.13 44.59 129.560 1.0731 1.4457 0.6022 0.6065 286.53 45.25 78.213 0.8400 1.1298 0.6040 0.6066 287.00 45.18 76.097 0.8270 1.1111 0.6034 0.6059 287.06 45.79 38.196 0.5877 0.7889 0.6024 0.6037

287.09 45.73 38.667 0.5912 0.7936 0.6027 0.6039 286.46 44.45 130.819 1.0804 1.4546 0.6042 0.6086

287.31 44.66 130.553 1.0830 1.4545 0.6049 0.6093 287.08 45.58 42.066 0.6157 0.8266 0.6027 0.6040 286.52 45.57 42.520 0.6198 0.8334 0.6035 0.6048 287.57 45.95 12.793 0.3408 0.4568 0.6034 0.6039 287.67 45.94 12.960 0.3430 0.4597 0.6035 0.6040

287.08 44.97 75.066 0.8215 1.1037 0.6049 0.6074 287.10 45.07 74.600 0.8181 1.0989 0.6036 0.6061 286.93 46.75 37.840 0.5910 0.7929 0.6025 0.6037

286.56 46.83 37.774 0.5910 0.7936 0.6025 0.6037

287.52 47.34 12.372 0.3405 0.4558 0.6040 0.6043 287.57 47.34 12.443 0.3407 0.4560 0.6026 0.6030

286.95 46.36 73.841 0.8260 1.1085 0.6041 0.6065 286.33 46.46 73.422 0.8227 1.1057 0.6027 0.6051 285.74 45.94 124.521 1.0727 1.4447 0.6052 0.6093 285.99 45.90 125.140 1.0733 1.4447 0.6043 0.6084

42
Table 20. Measured and calculated quantities for 0.54 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location A, 52 mm orifice meter.

Run ID Pressure

(MPa)

042792- 1 3.7766

042792- 2 3.7957

042792- 3 3.7940

042792- 4 3.8154

042792- 5 3.8129

042792- 6 3.9381

042792- 7 3.9348

042792- 8 3.7809

051992- 1 3.9129

051992- 2 3.9102

051992- 3 3.8582

051992- 5 3.8493

051992- 6 3.9453

051992- 7 3.9461

051992- 8 3.7237

051992- 9 3.7235

Table 21. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

285.92 44.87 128.586 1 .3969 1.8826 0.6079 0.6120

285.64 45.15 38.284 0.7604 1.0252 0.6074 0.6087

286.24 45.02 38.693 0.7623 1.0263 0.6066 0.6078

285.82 45.35 100.512 1.2394 1.6699 0.6077 0.6109

286.46 45.21 100.075 1.2329 1.6586 0.6068 0.6100

286.72 46.65 10.346 0.4014 0.5389 0.6078 0.6081 287.12 46.54 10.610 0.4064 0.5450 0.6083 0.6086

285.59 44.98 127.117 1 .3940 1.8801 0.6094 0.6135 287.32 46.25 36.715 0.7507 1.0067 0.6051 0.6063 287.37 46.21 36.618 0.7500 1.0055 0.6056 0.6067

286.51 45.74 78.483 1.0974 1.4754 0.6071 0.6096

286.54 45.63 78.921 1.0980 1.4762 0.6064 0.6089 287.18 46.66 14.126 0.4671 0.6263 0.6050 0.6055 287.04 46.69 14.245 0.4686 0.6285 0.6043 0.6047

285.57 44.30 142.944 1.4609 1.9718 0.6063 0.6110 285.92 44.23 142.294 1.4522 1.9583 0.6045 0.6091 Measured and calculated quantities for 0.54 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location B, 52 mm orifice meter.

Run ID Pressure

(MPa)

042792- 1 3.7766

042792- 2 3.7957

042792- 3 3.7940

042792- 4 3.8154

042792- 5 3.8129

042792- 6 3.9381 042792- 7 3.9348

042792- 8 3.7809

051992- 1 3.9129

051992- 2 3.9102

051992- 3 3.8582

051992- 5 3.8493

051992- 6 3.9453

051992- 7 3.9461

051992- 8 3.7237

051992- 9 3.7235

Table 22. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) (/10

6

)

285.92 44.87 128.584 1.3969 1.8826 0.6079 0.6120 285.64 45.15 38.300 0.7604 1.0252 0.6073 0.6085 286.24 45.02 38.730 0.7623 1.0263 0.6063 0.6075 285.82 45.35 100.526 1.2394 1.6699 0.6076 0.6109 286.46 45.21 100.114 1.2329 1.6586 0.6066 0.6099

286.72 46.65 10.361 0.4014 0.5389 0.6073 0.6076

287.12 46.54 10.618 0.4064 0.5450 0.6080 0.6083 285.59 44.98 127.133 1.3940 1.8801 0.6093 0.6135 287.32 46.25 36.736 0.7507 1.0067 0.6050 0.6061 287.37 46.21 36.666 0.7500 1.0055 0.6052 0.6063

286.51 45.74 78.551 1.0974 1.4754 0.6068 0.6093

286.54 45.63 78.963 1.0980 1.4762 0.6063 0.6088

287.18 46.66 14.164 0.4671 0.6263 0.6042 0.6047

287.04 46.69 14.283 0.4686 0.6285 0.6034 0.6039 285.57 44.30 142.942 1.4609 1.9718 0.6063 0.6110

285.92 44.23 142.282 1.4522 1.9583 0.6045 0.6092

Measured and calculated quantities for 0.54 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location C, 52 mm orifice meter.

Run ID Pressure

(MPa)

042792- 1 3.7766

042792- 2 3.7957

042792- 3 3.7940

042792- 4 3.8154

042792- 5 3.8129

042792- 6 3.9381

042792- 7 3.9348

042792- 8 3.7809

051992- 1 3.9129

051992- 2 3.9102

051992- 3 3.8582

051992- 5 3.8493

051992- 6 3.9453

051992- 7 3.9461

051992- 8 3.7237

051992- 9 3.7235

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

285.92 44.87 128.645 1.3969 1.8826 0.6077 0.6119

285.64 45.15 38.288 0.7604 1.0252 0.6074 0.6086

286.24 45.02 38.712 0.7623 1.0263 0.6064 0.6077

285.82 45.35 100.567 1.2394 1.6699 0.6075 0.6107

286.46 45.21 100.132 1.2329 1.6586 0.6066 0.6098

286.72 46.65 10.323 0.4014 0.5389 0.6084 0.6088

287.12 46.54 10.589 0.4064 0.5450 0.6088 0.6092 285.59 44.98 127.194 1.3940 1.8801 0.6092 0.6133 287.32 46.25 36.701 0.7507 1.0067 0.6053 0.6064 287.37 46.21 36.616 0.7500 1.0055 0.6056 0.6067

286.51 45.74 78.548 1.0974 1.4754 0.6068 0.6093

286.54 45.63 78.956 1.0980 1 .4762 0.6063 0.6088

287.18 46.66 14.096 0.4671 0.6263 0.6057 0.6061 287.04 46.69 14.224 0.4686 0.6285 0.6047 0.6051 285.57 44.30 143.011 1.4609 1.9718 0.6061 0.6108

285.92 44.23 142.386 1.4522 1.9583 0.6043 0.6089

43
Table 23. Measured and calculated quantities for 0.54 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location D, 52 mm orifice meter.

Run ID Pressure

(MPa)

042792- 1 3.7766

042792- 2 3.7957

042792- 3 3.7940

042792- 4 3.8154

042792- 5 3.8129

042792- 6 3.9381

042792- 7 3.9348

042792- 8 3.7809

051992- 1 3.9129

051992- 2 3.9102

051992- 3 3.8582

051992- 5 3.8493

051992- 6 3.9453

051992- 7 3.9461

051992- 8 3.7237

051992- 9 3.7235

ible 24. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) (/10

6

)

285.92 44.87 128.672 1.3969 1.8826 0.6076 0.6118

285.64 45.15 38.357 0.7604 1.0252 0.6069 0.6081 286.24 45.02 38.783 0.7623 1.0263 0.6059 0.6071 285.82 45.35 100.606 1.2394 1.6699 0.6074 0.6106 286.46 45.21 100.195 1.2329 1.6586 0.6064 0.6096

286.72 46.65 10.419 0.4014 0.5389 0.6056 0.6059

287.12 46.54 10.682 0.4064 0.5450 0.6062 0.6065 285.59 44.98 127.241 1.3940 1.8801 0.6091 0.6132

287.32 46.25 36.725 0.7507 1.0067 0.6051 0.6062 287.37 46.21 36.639 0.7500 1.0055 0.6054 0.6066

286.51 45.74 78.595 1.0974 1.4754 0.6066 0.6091 286.54 45.63 79.035 1.0980 1.4762 0.6060 0.6085 287.18 46.66 14.091 0.4671 0.6263 0.6058 0.6062 287.04 46.69 14.212 0.4686 0.6285 0.6050 0.6054 285.57 44.30 143.185 1 .4609 1.9718 0.6058 0.6105 285.92 44.23 142.578 1.4522 1.9583 0.6039 0.6085 Measured and calculated quantities for 0.67 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location A, 52 mm orifice meter.

Run ID Pressure

(MPa)

042792- 1 3.7692

042792- 2 3.7678

042792- 3 3.8392

042792- 4 3.8396

042792- 5 3.8955

042892- 1 3.9783

042892- 2 3.9707

042892- 3 3.7886

042892- 4 3.8953

042892- 5 3.8968

051992- 1 3.8482

051992- 2 3.8518

051992- 3 3.8901

051992- 4 3.8884

051992- 5 3.8497

051992- 6 3.7576

051992- 7 3.7408

051992- 8 3.7906

051992- 9 3.7918

able 25. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

285.61 44.83 72.221 1.6649 2.2456 0.6102 0.6123 285.82 44.78 70.675 1.6415 2.2129 0.6085 0.6106

285.75 45.65 13.679 0.7288 0.9818 0.6099 0.6103 286.88 45.45 13.864 0.7340 0.9862 0.6115 0.6119 285.28 46.40 31.973 1.1260 1.5176 0.6108 0.6117

288.08 46.88 31.161 1.1167 1.4934 0.6105 0.6113 287.04 46.98 30.542 1.1047 1.4813 0.6094 0.6102 285.62 45.06 81.363 1.7620 2.3759 0.6066 0.6089

286.33 46.21 47.859 1.3712 1.8434 0.6088 0.6101 285.99 46.29 48.033 1.3744 1.8491 0.6086 0.6099

286.08 45.70 31.439 1.1056 1.4881 0.6095 0.6104

287.13 45.55 31.473 1.1061 1.4849 0.6104 0.6112 287.27 45.98 12.333 0.6932 0.9298 0.6087 0.6091 286.70 46.06 12.366 0.6946 0.9331 0.6087 0.6090

286.23 45.69 32.490 1.1232 1.5112 0.6091 0.6100

285.32 44.75 71.629 1.6505 2.2281 0.6080 0.6100 285.77 44.47 70.553 1.6328 2.2022 0.6080 0.6100

286.23 44.98 54.164 1 .4391 1.9376 0.6085 0.6101 285.99 45.04 54.343 1.4410 1.9413 0.6080 0.6095

Measured and calculated quantities for 0.67 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location B, 52 mm orifice meter.

Run ID Pressure

(MPa)

042792- 1 3.7692

042792- 2 3.7678

042792- 3 3.8392

042792- 4 3.8396

042792- 5 3.8955

042892- 1 3.9783

042892- 2 3.9707

042892- 3 3.7886

042892- 4 3.8953

042892- 5 3.8968

051992- 1 3.8482

051992- 2 3.8518

051992- 3 3.8901

051992- 4 3.8884

051992- 5 3.8497

051992- 6 3.7576

051992- 7 3.7408

051992- 8 3.7906

051992- 9 3.7918

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) (/10

6

)

285.61 44.83 72.121 1.6649 2.2456 • 0.6106 0.6127

285.82 44.78 70.594 1.6415 2.2129 0.6089 0.6109

285.75 45.65 13.668 0.7288 0.9818 0.6102 0.6105 286.88 45.45 13.852 0.7340 0.9862 0.6117 0.6121 285.28 46.40 31.951 1.1260 1.5176 0.6110 0.6119

288.08 46.88 31.090 1.1167 1.4934 0.6112 0.6120

287.04 46.98 30.469 1.1047 1.4813 0.6101 0.6110 285.62 45.06 81.179 1.7620 2.3759 0.6073 0.6096 286.33 46.21 47.752 1.3712 1.8434 0.6095 0.6108 285.99 46.29 47.927 1.3744 1.8491 0.6093 0.6106 286.08 45.70 31.478 1.1056 1.4881 0.6091 0.6100

287.13 45.55 31.513 1.1061 1.4849 0.6100 0.6108 287.27 45.98 12.361 0.6932 0.9298 0.6080 0.6084 286.70 46.06 12.394 0.6946 0.9331 0.6080 0.6083 286.23 45.69 32.521 1.1232 1.5112 0.6089 0.6098

285.32 44.75 71.657 1.6505 2.2281 0.6079 0.6099 285.77 44.47 70.583 1.6328 2.2022 0.6078 0.6099 286.23 44.98 54.177 1.4391 1.9376 0.6085 0.6100 285.99 45.04 54.364 1.4410 1.9413 0.6079 0.6094

44
Table 26. Measured and calculated quantities for 0.67 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location C, 52 mm orifice meter.

Run ID Pressure

(MPa)

042792- 1 3.7692

042792- 2 3.7678

042792- 3 3.8392

042792- 4 3.8396

042792- 5 3.8955

042892- 1 3.9783

042892- 2 3.9707

042892- 3 3.7886

042892- 4 3.8953

042892- 5 3.8968

051992- 1 3.8482

051992- 2 3.8518

051992- 3 3.8901 051992- 4 3.8884

051992- 5 3.8497

051992- 6 3.7576

051992- 7 3.7408

051992- 8 3.7906

051992- 9 3.7918

Table 27. Measured

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

285.61 44.83 72.241 1.6649 2.2456 0.6101 0.6122 285.82 44.78 70.729 1.6415 2.2129 0.6083 0.6103

285.75 45.65 13.652 0.7288 0.9818 0.6105 0.6109 286.88 45.45 13.833 0.7340 0.9862 0.6122 0.6126 285.28 46.40 31.981 1.1260 1.5176 0.6107 0.6116 288.08 46.88 31.135 1.1167 1.4934 0.6107 0.6116

287.04 46.98 30.517 1.1047 1.4813 0.6096 0.6105 285.62 45.06 81.355 1.7620 2.3759 0.6066 0.6089

286.33 46.21 47.837 1.3712 1.8434 0.6089 0.6103 285.99 46.29 48.020 1.3744 1.8491 0.6087 0.6100

286.08 45.70 31.475 1.1056 1.4881 0.6091 0.6100

287.13 45.55 31.505 1.1061 1.4849 0.6100 0.6109 287.27 45.98 12.316 0.6932 0.9298 0.6091 0.6095 286.70 46.06 12.346 0.6946 0.9331 0.6092 0.6095 286.23 45.69 32.522 1.1232 1.5112 0.6088 0.6098

285.32 44.75 71.738 1.6505 2.2281 0.6075 0.6096 285.77 44.47 70.669 1.6328 2.2022 0.6075 0.6095 286.23 44.98 54.225 1.4391 1.9376 0.6082 0.6097

285.99 45.04 54.389 1.4410 1.9413 0.6077 0.6092

Measured and calculated quantities for 0.67 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location D, 52 mm orifice meter.

Run ID Pressure

(MPa)

042792- 1 3.7692

042792- 2 3.7678

042792- 3 3.8392

042792- 4 3.8396

042792- 5 3.8955

042892- 1 3.9783

042892- 2 3.9707

042892- 3 3.7886

042892- 4 3.8953

042892- 5 3.8968

051992- 1 3.8482

051992- 2 3.8518

051992- 3 3.8901

051992- 4 3.8884

051992- 5 3.8497

051992- 6 3.7576

051992- 7 3.7408

051992- 8 3.7906

051992- 9 3.7918

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/106)

285.61 44.83 72.476 1.6649 2.2456 0.6091 0.6112

285.82 44.78 70.929 1.6415 2.2129 0.6075 0.6095

285.75 45.65 13.773 0.7288 0.9818 0.6078 0.6082

286.88 45.45 13.958 0.7340 0.9862 0.6094 0.6098 285.28 46.40 32.125 1.1260 1.5176 0.6094 0.6103 288.08 46.88 31.233 1.1167 1.4934 0.6098 0.6106

287.04 46.98 30.620 1.1047 1.4813 0.6086 0.6095 285.62 45.06 81.586 1.7620 2.3759 0.6058 0.6081 286.33 46.21 48.001 1.3712 1.8434 0.6079 0.6092 285.99 46.29 48.164 1.3744 1.8491 0.6078 0.6091 286.08 45.70 31.512 1.1056 1 .4881 0.6088 0.6097

287.13 45.55 31.548 1.1061 1.4849 0.6096 0.6105 287.27 45.98 12.323 0.6932 0.9298 0.6090 0.6093 286.70 46.06 12.357 0.6946 0.9331 0.6089 0.6092

286.23 45.69 32.556 1.1232 1.5112 0.6085 0.6094

285.32 44.75 71.866 1.6505 2.2281 0.6070 0.6090 285.77 44.47 70.766 1.6328 2.2022 0.6071 0.6091 286.23 44.98 54.294 1.4391 1.9376 0.6078 0.6093 285.99 45.04 54.487 1.4410 1.9413 0.6072 0.6087

45
Table 28. Measured and calculated quantities for 0.73 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location A, 52 mm orifice meter.

Run ID Pressure

(MPa)

042892- 1 3.8426

042892- 2 3.8380

042892- 3 3.8793

042892- 4 3.8793

042892- 5 3.9328

042892- 6 3.9271

042892- 7 3.8108

042892- 8 3.8127

051392- 1 3.9278

051392- 2 3.9244

051392- 3 3.8613

051392- 4 3.8645

051392- 5 3.8983

051392- 6 3.8979

051392- 7 3.9038

051392- 8 3.9023

051392- 9 3.7665

051392- 10 3.7618

051392- 11 3.7652

051892- 1 3.9390

051892- 4 3.9799

051892- 5 3.9772

051892- 6 3.8544

051892- 7 3.8486

051892- 8 3.8549

051892- 9 3.9086

051892- 10 3.9690

051892- 11 3.9630

051992- 1 3.8745

051992- 2 3.8782

051992- 3 3.8798

051992- 4 3.8258

051992- 5 3.8238

051992- 6 3.8231

051992- 7 3.8775

051992- 8 3.8784

051992- 9 3.7556

051992- 10 3.7555

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) <kg/s) (/10

6

)

285.37 45.75 46.062 1.6785 2.2633 0.6092 0.6103 285.22 45.72 45.195 1.6592 2.2382 0.6081 0.6093 285.94 46.09 34.981 1.4695 1.9778 0.6100 0.6109

286.53 45.99 35.467 1.4774 1.9857 0.6098 0.6107

286.55 46.62 22.557 1.1885 1.5962 0.6112 0.6118

286.66 46.53 22.867 1.1930 1.6020 0.6099 0.6105 286.36 45.20 12.108 0.8550 1.1506 0.6098 0.6101 286.98 45.11 12.016 0.8511 1.1435 0.6099 0.6102 287.33 46.42 5.671 0.5939 0.7962 0.6109 0.6110 286.62 46.51 5.673 0.5941 0.7979 0.6105 0.6106 286.38 45.80 32.049 1 .4065 1.8914 0.6120 0.6128

285.26 46.04 31.793 1.4047 1.8940 0.6121 0.6129 286.19 46.27 21.687 1.1586 1.5581 0.6100 0.6105 286.13 46.28 21.740 1.1633 1.5647 0.6117 0.6122

286.85 46.22 13.464 0.9134 1.2263 0.6108 0.6112 286.22 46.31 13.571 0.9169 1.2329 0.6102 0.6105 284.30 45.03 48.147 1.7090 2.3125 0.6115 0.6127

286.22 44.64 48.187 1.6987 2.2880 0.6102 0.6114 285.36 44.83 47.829 1.6970 2.2905 0.6106 0.6118

287.09 46.60 35.095 1 .4791 1.9838 0.6097 0.6105 286.64 47.16 20.879 1.1514 1.5451 0.6119 0.6125 286.73 47.12 21.269 1.1594 1.5556 0.6108 0.6113 286.37 45.72 50.289 1.7624 2.3702 0.6123 0.6135 285.96 45.72 49.837 1.7462 2.3510 0.6094 0.6106

285.93 45.80 49.208 1.7411 2.3441 0.6110 0.6122

285.23 46.57 36.679 1.5158 2.0430 0.6113 0.6122 286.66 47.03 12.718 0.8961 1.2027 0.6113 0.6116

286.82 46.93 12.936 0.9027 1.2111 0.6112 0.6115

286.81 45.88 21.322 1.1435 1.5360 0.6098 0.6103 286.48 45.98 21.034 1.1400 1.5323 0.6114 0.6119 286.69 45.96 20.856 1.1318 1.5205 0.6096 0.6102 286.79 45.30 34.030 1.4353 1.9290 0.6093 0.6102 285.64 45.48 33.604 1 .4348 1.9337 0.6118 0.6126

285.82 45.44 33.383 1.4253 1.9202 0.6100 0.6109

286.73 45.93 12.543 0.8776 1.1789 0.6100 0.6103 286.47 45.99 12.620 0.8812 1.1845 0.6103 0.6106

286.05 44.60 47.563 1.6865 2.2727 0.6101 0.6113 284.67 44.83 46.864 1.6805 2.2722 0.6108 0.6120

46
Table 29. Measured and calculated quantities for 0.73 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location B, 52 mm orifice meter.

Run ID Pressure

(MPa)

042892- 1 3.8426

042892- 2 3.8380

042892- 3 3.8793

042892- 4 3.8793

042892- 5 3.9328

042892- 6 3.9271

042892- 7 3.8108

042892- 8 3.8127

051392- 1 3.9278

051392- 2 3.9244

051392- 3 3.8613

051392- 4 3.8645

051392- 5 3.8983

051392- 6 3.8979

051392- 7 3.9038

051392- 8 3.9023

051392- 9 3.7665

051392- 10 3.7618

051392- 11 3.7652

051892- 1 3.9390

051892- 4 3.9799

051892- 5 3.9772

051892- 6 3.8544

051892- 7 3.8486

051892- 8 3.8549

051892- 9 3.9086

051892- 10 3.9690

051892- 11 3.9630

051992- 1 3.8745

051992- 2 3.8782

051992- 3 3.8798

051992- 4 3.8258

051992- 5 3.8238

051992- 6 3.8231

051992- 7 3.8775

051992- 8 3.8784

051992- 9 3.7556

051992- 10 3.7555

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 <K) (kg/m3

) (kPa) (kg/s) (/10

6

) 285.37 45.75 45.799 1.6785 2.2633 0.6110 0.6121 285.22 45.72 44.935 1.6592 2.2382 0.6099 0.6110

285.94 46.09 34.755 1.4695 1.9778 0.6120 0.6129

286.53 45.99 35.244 1.4774 1.9857 0.6117 0.6126

286.55 46.62 22.405 1.1885 1.5962 0.6133 0.6138 286.66 46.53 22.698 1.1930 1.6020 0.6122 0.6127

286.36 45.20 11.995 0.8550 1.1506 0.6127 0.6130 286.98 45.11 11.904 0.8511 1.1435 0.6127 0.6130

287.33 46.42 5.664 0.5939 0.7962 0.6113 0.6114 286.62 46.51 5.666 0.5941 0.7979 0.6108 0.6109 286.38 45.80 32.027 1.4065 1.8914 0.6122 0.6130 285.26 46.04 31.772 1.4047 1.8940 0.6123 0.6131 286.19 46.27 21.669 1.1586 1.5581 0.6103 0.6108

286.13 46.28 21.722 1.1633 1.5647 0.6119 0.6125 286.85 46.22 13.460 0.9134 1.2263 0.6109 0.6113

286.22 46.31 13.563 0.9169 1.2329 0.6104 0.6107

284.30 45.03 48.114 1.7090 2.3125 0.6117 0.6129

286.22 44.64 48.142 1.6987 2.2880 0.6104 0.6117

285.36 44.83 47.792 1.6970 2.2905 0.6108 0.6120 287.09 46.60 35.128 1.4791 1.9838 0.6094 0.6102

286.64 47.16 20.906 1.1514 1.5451 0.6115 0.6121 286.73 47.12 21.294 1.1594 1.5556 0.6105 0.6110 286.37 45.72 50.304 1.7624 2.3702 0.6122 0.6134 285.96 45.72 49.854 1.7462 2.3510 0.6093 0.6105 285.93 45.80 49.248 1.7411 2.3441 0.6107 0.6119

285.23 46.57 36.704 1.5158 2.0430 0.6111 0.6120 286.66 47.03 12.759 0.8961 1.2027 0.6103 0.6107

286.82 46.93 12.982 0.9027 1.2111 0.6101 0.6104

286.81 45.88 21.338 1.1435 1.5360 0.6095 0.6101 286.48 45.98 21.055 1.1400 1.5323 0.6111 0.6116

286.69 45.96 20.881 1.1318 1.5205 0.6093 0.6098

286.79 45.30 34.056 1.4353 1.9290 0.6091 0.6099

285.64 45.48 33.629 1.4348 1.9337 0.6116 0.6124 285.82 45.44 33.410 1.4253 1.9202 0.6098 0.6106

286.73 45.93 12.578 0.8776 1.1789 0.6091 0.6094 286.47 45.99 12.651 0.8812 1.1845 0.6096 0.6099

286.05 44.60 47.578 1.6865 2.2727 0.6100 0.6112 284.67 44.83 46.884 1.6805 2.2722 0.6107 0.6119

47
Table 30. Measured and calculated quantities for 0.73 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location C, 52 mm orifice meter.

Run ID Pressure

(MPa)

042892- 1 3.8426

042892- 2 3.8380

042892- 3 3.8793

042892- 4 3.8793

042892- 5 3.9328

042892- 6 3.9271

042892- 7 3.8108

042892- 8 3.8127

051392- 1 3.9278

051392- 2 3.9244

051392- 3 3.8613

051392- 4 3.8645

051392- 5 3.8983

051392- 6 3.8979

051392- 7 3.9038

051392- 8 3.9023

051392- 9 3.7665

051392- 10 3.7618

051392- 11 3.7652

051892- 1 3.9390

051892- 4 3.9799

051892- 5 3.9772

051892- 6 3.8544

051892- 7 3.8486

051892- 8 3.8549

051892- 9 3.9086

051892- 10 3.9690

051892- 11 3.9630

051992- 1 3.8745

051992- 2 3.8782

051992- 3 3.8798

051992- 4 3.8258

051992- 5 3.8238

051992- 6 3.8231

051992- 7 3.8775

051992- 8 3.8784

051992- 9 3.7556

051992- 10 3.7555

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) <kg/m3

) (kPa) (kg/s) (/10

6

)

285.37 45.75 45.880 1.6785 2.2633 0.6104 0.6116

285.22 45.72 45.004 1.6592 2.2382 0.6094 0.6106

285.94 46.09 34.826 1.4695 1.9778 0.6114 0.6123

286.53 45.99 35.305 1.4774 1.9857 0.6112 0.6121 286.55 46.62 22.430 1.1885 1.5962 0.6129 0.6135 286.66 46.53 22.734 1.1930 1.6020 0.6117 0.6123 286.36 45.20 12.021 0.8550 1.1506 0.6120 0.6123 286.98 45.11 11.935 0.8511 1.1435 0.6119 0.6122

287.33 46.42 5.673 0.5939 0.7962 0.6108 0.6109

286.62 46.51 5.677 0.5941 0.7979 0.6103 0.6104 286.38 45.80 32.093 1.4065 1.8914 0.6116 0.6124 285.26 46.04 31.829 1.4047 1.8940 0.6118 0.6126

286.19 46.27 21.725 1.1586 1.5581 0.6095 0.6100 286.13 46.28 21.777 1.1633 1.5647 0.6112 0.6117

286.85 46.22 13.480 0.9134 1.2263 0.6105 0.6108

286.22 46.31 13.583 0.9169 1.2329 0.6099 0.6102 284.30 45.03 48.200 1.7090 2.3125 0.6111 0.6124 286.22 44.64 48.237 1.6987 2.2880 0.6098 0.6111 285.36 44.83 47.871 1.6970 2.2905 0.6103 0.6115 287.09 46.60 35.199 1.4791 1.9838 0.6088 0.6096

286.64 47.16 20.943 1.1514 1.5451 0.6110 0.6115 286.73 47.12 21.344 1.1594 1.5556 0.6098 0.6103 286.37 45.72 50.368 1.7624 2.3702 0.6118 0.6130 285.96 45.72 49.905 1.7462 2.3510 0.6090 0.6102

285.93 45.80 49.296 1.7411 2.3441 0.6104 0.6116

285.23 46.57 36.758 1.5158 2.0430 0.6107 0.6116 286.66 47.03 12.784 0.8961 1.2027 0.6097 0.6100 286.82 46.93 12.991 0.9027 1.2111 0.6099 0.6102

286.81 45.88 21.320 1.1435 1.5360 0.6098 0.6103 286.48 45.98 21.028 1.1400 1.5323 0.6114 0.6120 286.69 45.96 20.849 1.1318 1.5205 0.6097 0.6103 286.79 45.30 34.039 1.4353 1.9290 0.6093 0.6101 285.64 45.48 33.623 1.4348 1.9337 0.6116 0.6125 285.82 45.44 33.407 1.4253 1.9202 0.6098 0.6106

286.73 45.93 12.528 0.8776 1.1789 0.6104 0.6107

286.47 45.99 12.599 0.8812 1.1845 0.6108 0.6111 286.05 44.60 47.613 1.6865 2.2727 0.6097 0.6109 284.67 44.83 46.921 1.6805 2.2722 0.6104 0.6116

48
Table 31 Measured and calculated quantities for 0.73 beta ratio, oversize Sprenkle at 44 pipe diameters,

flange tap location D, 52 mm orifice meter.

Run ID Pressure

(MPa)

042892- 1 3.8426

042892- 2 3.8380

042892- 3 3.8793

042892- 4 3.8793

042892- 5 3.9328

042892- 6 3.9271 042892- 7 3.8108

042892- 8 3.8127

051392- 1 3.9278

051392- 2 3.9244

051392- 3 3.8613

051392- 4 3.8645

051392- 5 3.8983

051392- 6 3.8979

051392- 7 3.9038

051392- 8 3.9023

051392- 9 3.7665

051392- 10 3.7618

051392- 11 3.7652

051892- 1 3.9390

051892- 4 3.9799

051892- 5 3.9772

051892- 6 3.8544

051892- 7 3.8486

051892- 8 3.8549

051892- 9 3.9086

051892- 10 3.9690

051892- 11 3.9630

051992- 1 3.8745

051992- 2 3.8782

051992- 3 3.8798

051992- 4 3.8258

051992- 5 3.8238

051992- 6 3.8231 051992- 7 3.8775

051992- 8 3.8784

051992- 9 3.7556

051992- 10 3.7555

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

285.37 45.75 46.233 1.6785 2.2633 0.6081 0.6092

285.22 45.72 45.381 1.6592 2.2382 0.6069 0.6080

285.94 46.09 35.115 1.4695 1.9778 0.6089 0.6097

286.53 45.99 35.594 1.4774 1.9857 0.6087 0.6096

286.55 46.62 22.633 1.1885 1.5962 0.6102 0.6107

286.66 46.53 22.943 1.1930 1.6020 0.6089 0.6095 286.36 45.20 12.140 0.8550 1.1506 0.6090 0.6093 286.98 45.11 12.052 0.8511 1.1435 0.6090 0.6093 287.33 46.42 5.718 0.5939 0.7962 0.6084 0.6085 286.62 46.51 5.720 0.5941 0.7979 0.6079 0.6081 286.38 45.80 32.186 1.4065 1.8914 0.6107 0.6115 285.26 46.04 31.924 1.4047 1.8940 0.6108 0.6116

286.19 46.27 21.797 1.1586 1.5581 0.6085 0.6090

286.13 46.28 21.833 1.1633 1.5647 0.6104 0.6109

286.85 46.22 13.518 0.9134 1.2263 0.6096 0.6099

286.22 46.31 13.630 0.9169 1.2329 0.6089 0.6092

284.30 45.03 48.347 1.7090 2.3125 0.6102 0.6114

286.22 44.64 48.381 1.6987 2.2880 0.6089 0.6101 285.36 44.83 48.022 1.6970 2.2905 0.6093 0.6105 287.09 46.60 35.241 1.4791 1.9838 0.6084 0.6093 286.64 47.16 20.980 1.1514 1.5451 0.6105 0.6110 286.73 47.12 21.370 1.1594 1.5556 0.6094 0.6099 286.37 45.72 50.489 1.7624 2.3702 0.6111 0.6123 285.96 45.72 50.033 1.7462 2.3510 0.6082 0.6094 285.93 45.80 49.391 1.7411 2.3441 0.6098 0.6111 285.23 46.57 36.836 1.5158 2.0430 0.6100 0.6109 286.66 47.03 12.811 0.8961 1.2027 0.6091 0.6094

286.82 46.93 13.016 0.9027 1.2111 0.6093 0.6096

286.81 45.88 21.388 1.1435 1.5360 0.6088 0.6093 286.48 45.98 21.101 1.1400 1.5323 0.6104 0.6109 286.69 45.96 20.906 1.1318 1.5205 0.6089 0.6094 286.79 45.30 34.151 1.4353 1.9290 0.6082 0.6091 285.64 45.48 33.730 1.4348 1.9337 0.6106 0.6115 285.82 45.44 33.498 1.4253 1.9202 0.6090 0.6098 286.73 45.93 12.557 0.8776 1.1789 0.6097 0.6100 286.47 45.99 12.632 0.8812 1.1845 0.6100 0.6103

286.05 44.60 47.754 1.6865 2.2727 0.6088 0.6100 284.67 44.83 47.060 1.6805 2.2722 0.6095 0.6107

49
Table 32. Measured

flow com

Run ID/ Pressure

Tap (MPa)

091792- 1A 3.9495

091792- 2A 3.9486

091792- 3A 3.9303

091792- 4A 3.9296

091792- 5A 3.8309

091792- 6A 3.8325

091792- 7A 3.8653

091792- 8A 3.8649

091792- 1B 3.9495

091792- 2B 3.9486

091792- 3B 3.9303

091792- 4B 3.9296

091792- 5B 3.8309

091792- 6B 3.8325

091792- 7B 3.8653

091792- 8B 3.8649

091792- 1C 3.9495

091792- 2C 3.9486

091792- 3C 3.9303

091792- 4C 3.9296

091792- 5C 3.8309

091792- 6C 3.8325

091792- 7C 3.8653

091792- 8C 3.8649

091792- 1D 3.9495

091792- 2D 3.9486

091792- 3D 3.9303

091792- 4D 3.9296

091792- 5D 3.8309

091792- 6D 3.8325

091792- 7D 3.8653

091792- 8D 3.8649

Measured and calculated quantities for 0.40 (2D) beta ratio, elbow at 17 pipe diameters, no

"oner, 4 flange tap locations, 52 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) </10

6

)

290.95 46.04 25.519 0.3202 0.4255 0.5972 0.5981 289.86 46.22 25.612 0.3217 0.4285 0.5976 0.5985 289.28 46.11 43.161 0.4177 0.5573 0.5980 0.5994 289.26 46.10 42.988 0.4173 0.5568 0.5986 0.6001 288.32 45.10 120.397 0.6955 0.9312 0.6002 0.6043 287.37 45.28 118.620 0.6909 0.9272 0.5995 0.6035 288.72 45.44 75.278 0.5494 0.7346 0.5988 0.6014

288.33 45.50 75.261 0.5500 0.7361 0.5992 0.6017

290.95 46.04 25.541 0.3202 0.4255 0.5970 0.5978

289.86 46.22 25.633 0.3217 0.4285 0.5974 0.5982 289.28 46.11 43.180 0.4177 0.5573 0.5979 0.5993 289.26 46.10 43.006 0.4173 0.5568 0.5985 0.5999

288.32 45.10 120.428 0.6955 0.9312 0.6001 0.6042 287.37 45.28 118.685 0.6909 0.9272 0.5993 0.6033 288.72 45.44 75.339 0.5494 0.7346 0.5986 0.6011 288.33 45.50 75.305 0.5500 0.7361 0.5990 0.6015

290.95 46.04 25.433 0.3202 0.4255 0.5983 0.5991 289.86 46.22 25.515 0.3217 0.4285 0.5988 0.5996 289.28 46.11 43.131 0.4177 0.5573 0.5982 0.5996

289.26 46.10 42.962 0.4173 0.5568 0.5988 0.6002

288.32 45.10 120.617 0.6955 0.9312 0.5996 0.6037 287.37 45.28 118.849 0.6909 0.9272 0.5989 0.6029

288.72 45.44 75.394 0.5494 0.7346 0.5984 0.6009

288.33 45.50 75.354 0.5500 0.7361 0.5988 0.6013

290.95 46.04 25.489 0.3202 0.4255 0.5976 0.5984 289.86 46.22 25.584 0.3217 0.4285 0.5980 0.5988

289.28 46.11 43.140 0.4177 0.5573 0.5982 0.5996

289.26 46.10 42.971 0.4173 0.5568 0.5988 0.6002

288.32 45.10 120.386 0.6955 0.9312 0.6002 0.6043 287.37 45.28 118.584 0.6909 0.9272 0.5996 0.6036

288.72 45.44 75.278 0.5494 0.7346 0.5988 0.6014

288.33 45.50 75.241 0.5500 0.7361 0.5993 0.6018

50
Table 33. Measured

conditio

Run ID/ Pressure

Tap (MPa)

062592- 1A 3.9696

062592- 2A 3.9692

062592- 3A 4.0102

062592- 4A 4.0076

062592- 5A 3.9277

062592- 6A 3.9273

062592- 7A 3.8197

062592- 8A 3.8186

062992- 1A 4.0076

062992- 2A 4.0059

062992- 3A 3.8211 062992- 4A 3.7970

062992- 5A 3.9397

062992- 6A 3.9432

062992- 7A 3.9017

062992- 8A 3.9044

062592- IB 3.9696

062592- 2B 3.9692

062592- 3B 4.0102

062592- 4B 4.0076

062592- 5B 3.9277

062592- 6B 3.9273

062592- 7B 3.8197

062592- 8B 3.8186

062992- 1B 4.0076

062992- 2B 4.0059

062992- 3B 3.8211 062992- 4B 3.7970

062992- 5B 3.9397

062992- 6B 3.9432

062992- 7B 3.9017

062992- 8B 3.9044

062592- 1C 3.9696

062592- 2C 3.9692

062592- 3C 4.0102

062592- 4C 4.0076

062592- 5C 3.9277

062592- 6C 3.9273

062592- 7C 3.8197

062592- 8C 3.8186

062992- 1C 4.0076

062992- 2C 4.0059

062992- 3C 3.8211 062992- 4C 3.7970

062992- 5C 3.9397

062992- 6C 3.9432

062992- 7C 3.9017

062992- 8C 3.9044

062592- 10 3.9696

062592- 2D 3.9692

062592- 3D 4.0102

062592- 4D 4.0076

062592- 5D 3.9277

062592- 6D 3.9273

062592- 7D 3.8197

062592- 8D 3.8186

062992- ID 4.0076

062992- 2D 4.0059

062992- 3D 3.8211 062992- 4D 3.7970

062992- 5D 3.9397

062992- 6D 3.9432

062992- 7D 3.9017

062992- 8D 3.9044

Measured and calculated quantities for 0.54 beta ratio, elbow at 17 pipe diameters, no flow

4 flange tap locations, 52 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY 2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

284.86 47.37 38.603 0.7800 1.0515 0.6061 0.6073

283.81 47.56 38.400 0.7785 1.0521 0.6054 0.6066

284.94 47.84 12.713 0.4484 0.6040 0.6050 0.6054 285.18 47.76 12.757 0.4495 0.6051 0.6058 0.6062 284.38 46.95 76.165 1.0947 1.4782 0.6071 0.6095

283.91 47.03 74.060 1.0807 1.4609 0.6073 0.6096

283.09 45.88 140.764 1.4734 1.9984 0.6059 0.6104 283.29 45.84 139.817 1.4705 1.9935 0.6071 0.6116 284.47 47.90 12.301 0.4418 0.5959 0.6057 0.6060

285.11 47.76 12.406 0.4432 0.5968 0.6058 0.6062

283.81 45.77 144.539 1.4898 2.0171 0.6052 0.6098

282.98 45.63 142.700 1.4820 2.0111 0.6069 0.6115 284.69 47.04 36.851 0.7582 1.0229 0.6052 0.6063

284.45 47.13 37.199 0.7627 1.0295 0.6053 0.6065 284.88 46.55 77.748 1.1012 1.4855 0.6070 0.6094 284.28 46.69 75.910 1.0903 1.4729 0.6073 0.6097

284.86 47.37 38.538 0.7800 1.0515 0.6066 0.6078

283.81 47.56 38.332 0.7785 1.0521 0.6059 0.6071 284.94 47.84 12.667 0.4484 0.6040 0.6061 0.6065 285.18 47.76 12.716 0.4495 0.6051 0.6068 0.6072 284.38 46.95 76.014 1.0947 1.4782 0.6077 0.6101 283.91 47.03 73.936 1.0807 1.4609 0.6078 0.6102 283.09 45.88 140.490 1.4734 1.9984 0.6065 0.6110 283.29 45.84 139.583 1.4705 1.9935 0.6076 0.6121 284.47 47.90 12.263 0.4418 0.5959 0.6066 0.6070

285 . 1

1

47.76 12.374 0.4432 0.5968 0.6066 0.6070

283.81 45.77 144.362 1.4898 2.0171 0.6056 0.6102 282.98 45.63 142.514 1.4820 2.0111 0.6073 0.6119 284.69 47.04 36.780 0.7582 1.0229 0.6058 0.6069

284.45 47.13 37.119 0.7627 1.0295 0.6060 0.6071 284.88 46.55 77.674 1.1012 1.4855 0.6073 0.6097

284.28 46.69 75.832 1.0903 1.4729 0.6076 0.6100

284.86 47.37 38.668 0.7800 1.0515 0.6056 0.6068

283.81 47.56 38.468 0.7785 1.0521 0.6048 0.6060

284.94 47.84 12.725 0.4484 0.6040 0.6047 0.6051 285.18 47.76 12.767 0.4495 0.6051 0.6056 0.6060 284.38 46.95 76.232 1.0947 1.4782 0.6068 0.6092

283.91 47.03 74.162 1.0807 1.4609 0.6069 0.6092 283.09 45.88 140.844 1.4734 1.9984 0.6057 0.6102 283.29 45.84 139.982 1.4705 1.9935 0.6067 0.6112 284.47 47.90 12.295 0.4418 0.5959 0.6058 0.6062

285 . 1

1

47.76 12.405 0.4432 0.5968 0.6058 0.6062

283.81 45.77 144.777 1.4898 2.0171 0.6047 0.6093 282.98 45.63 142.893 1.4820 2.0111 0.6064 0.6111 284.69 47.04 36.881 0.7582 1.0229 0.6049 0.6061 284.45 47.13 37.218 0.7627 1.0295 0.6052 0.6063 284.88 46.55 77.878 1.1012 1.4855 0.6065 0.6089 284.28 46.69 76.035 1.0903 1.4729 0.6068 0.6092

284.86 47.37 38.616 0.7800 1.0515 0.6060 0.6072

283.81 47.56 38.419 0.7785 1.0521 0.6052 0.6064 284.94 47.84 12.692 0.4484 0.6040 0.6055 0.6059

285.18 47.76 12.739 0.4495 0.6051 0.6063 0.6067

284.38 46.95 76.166 1.0947 1.4782 0.6071 0.6095

283.91 47.03 74.054 1.0807 1.4609 0.6074 0.6097

283.09 45.88 140.737 1.4734 1.9984 0.6060 0.6105 283.29 45.84 139.855 1.4705 1.9935 0.6070 0.6115 284.47 47.90 12.305 0.4418 0.5959 0.6056 0.6060

285 . 1

1

47.76 12.413 0.4432 0.5968 0.6056 0.6060

283.81 45.77 144.460 1.4898 2.0171 0.6053 0.6100 282.98 45.63 142.584 1.4820 2.0111 0.6071 0.6117

284.69 47.04 36.831 0.7582 1.0229 0.6053 0.6065

284.45 47.13 37.168 0.7627 1.0295 0.6056 0.6067

284.88 46.55 77.737 1.1012 1.4855 0.6070 0.6095 284.28 46.69 75.879 1.0903 1.4729 0.6075 0.6098

51
Table 34. Measured

conditioi

Run ID/ Pressure

Tap (MPa)

062592- 1A 3.9687

062592- 2A 3.9656

062592- 3A 4.0012

062592- 1A 4.0019

062592- 2A 3.9172

062592- 3A 3.9166

062592- 4A 3.8480

062592- 5A 3.8429

062992- 1A 3.8729

062992- 2A 3.8742

062992- 3A 3.9086

062992- 4A 3.9054

062992- 5A 3.9624

062992- 6A 3.9636

062992- 7A 3.8067

062992- 8A 3.8089

062592- 1B 3.9687

062592- 2B 3.9656

062592- 3B 4.0012

062592- 1B 4.0019

062592- 2B 3.9172

062592- 3B 3.9166

062592- 4B 3.8480

062592- 5B 3.8429

062992- 1B 3.8729

062992- 2B 3.8742

062992- 3B 3.9086

062992- 4B 3.9054

062992- 5B 3.9624

062992- 6B 3.9636

062992- 7B 3.8067

062992- 8B 3.8089

062592- 1C 3.9687

062592- 2C 3.9656

062592- 3C 4.0012

062592- 1C 4.0019

062592- 2C 3.9172

062592- 3C 3.9166

062592- 4C 3.8480

062592- 5C 3.8429

062992- 1C 3.8729

062992- 2C 3.8742

062992- 3C 3.9086

062992- 4C 3.9054

062992- 5C 3.9624

062992- 6C 3.9636

062992- 7C 3.8067

062992- 8C 3.8089

062592- 1D 3.9687

062592- 2D 3.9656

062592- 3D 4.0012

062592- 1D 4.0019

062592- 2D 3.9172

062592- 3D 3.9166

062592- 4D 3.8480

062592- 5D 3.8429

062992- 1D 3.8729

062992- 2D 3.8742

062992- 3D 3.9086

062992- 4D 3.9054

062992- 5D 3.9624

062992- 6D 3.9636

062992- 7D 3.8067

062992- 8D 3.8089

Measured and calculated quantities for 0.67 beta ratio, elbow at 17 pipe diameters, no flow

4 flange tap locations, 52 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

284.32 47.46 30.908 1.1143 1.5040 0.6080 0.6088

284.21 47.44 30.699 1.1097 1.4983 0.6077 0.6085 285.06 47.71 12.996 0.7232 0.9739 0.6074 0.6077

284.92 47.74 13.052 0.7257 0.9777 0.6080 0.6084

283.21 47.04 50.150 1.4116 1.9116 0.6068 0.6082

283.94 46.90 49.497 1.4000 1.8927 0.6067 0.6081 281.88 46.45 74.409 1.7093 2.3245 0.6064 0.6085

282.61 46.25 74.088 1.6989 2.3064 0.6053 0.6074 283.88 46.38 48.889 1.3858 1.8747 0.6077 0.6090 284.57 46.28 48.590 1.3803 1.8642 0.6078 0.6092

284.22 46.75 31.397 1.1165 1.5085 0.6090 0.6099

283.92 46.77 31.575 1.1173 1.5107 0.6076 0.6084 285.18 47.22 12.417 0.7039 0.9481 0.6080 0.6083 284.02 47.45 12.396 0.7048 0.9521 0.6078 0.6082 282.52 45.83 73.575 1.6889 2.2943 0.6066 0.6087

283.33 45.71 72.913 1.6802 2.2778 0.6070 0.6090

284.32 47.46 30.816 1.1143 1.5040 0.6089 0.6098

284.21 47.44 30.610 1.1097 1.4983 0.6086 0.6094 285.06 47.71 12.939 0.7232 0.9739 0.6087 0.6091 284.92 47.74 12.996 0.7257 0.9777 0.6093 0.6097

283.21 47.04 49.991 1.4116 1.9116 0.6078 0.6092

283.94 46.90 49.336 1.4000 1.8927 0.6077 0.6091 281.88 46.45 74.163 1.7093 2.3245 0.6074 0.6095

282.61 46.25 73.862 1.6989 2.3064 0.6062 0.6083 283.88 46.38 48.773 1.3858 1.8747 0.6084 0.6097

284.57 46.28 48.449 1.3803 1.8642 0.6087 0.6100

284.22 46.75 31.284 1.1165 1.5085 0.6101 0.6109

283.92 46.77 31.490 1.1173 1.5107 0.6084 0.6092 285.18 47.22 12.354 0.7039 0.9481 0.6095 0.6098

284.02 47.45 12.333 0.7048 0.9521 0.6094 0.6097

282.52 45.83 73.379 1 .6889 2.2943 0.6074 0.6095 283.33 45.71 72.714 1.6802 2.2778 0.6078 0.6099

284.32 47.46 31.022 1.1143 1.5040 0.6069 0.6077

284.21 47.44 30.810 1.1097 1.4983 0.6066 0.6074 285.06 47.71 13.038 0.7232 0.9739 0.6064 0.6068

284.92 47.74 13.100 0.7257 0.9777 0.6069 0.6072

283.21 47.04 50.295 1.4116 1.9116 0.6059 0.6073 283.94 46.90 49.651 1.4000 1.8927 0.6058 0.6072 281.88 46.45 74.622 1.7093 2.3245 0.6055 0.6076

282.61 46.25 74.332 1.6989 2.3064 0.6043 0.6064 283.88 46.38 49.062 1.3858 1.8747 0.6066 0.6079 284.57 46.28 48.776 1.3803 1.8642 0.6066 0.6080 284.22 46.75 31.489 1.1165 1.5085 0.6081 0.6090 283.92 46.77 31.688 1.1173 1.5107 0.6065 0.6073 285.18 47.22 12.447 0.7039 0.9481 0.6072 0.6076

284.02 47.45 12.420 0.7048 0.9521 0.6072 0.6076

282.52 45.83 73.864 1.6889 2.2943 0.6054 0.6075 283.33 45.71 73.195 1.6802 2.2778 0.6058 0.6079

284.32 47.46 30.910 1.1143 1.5040 - 0.6080 0.6088

284.21 47.44 30.706 1.1097 1.4983 0.6076 0.6085 285.06 47.71 12.980 0.7232 0.9739 0.6078 0.6081 284.92 47.74 13.047 0.7257 0.9777 0.6081 0.6085

283.21 47.04 50.160 1.4116 1.9116 0.6068 0.6081 283.94 46.90 49.523 1.4000 1.8927 0.6066 0.6079 281.88 46.45 74.425 1.7093 2.3245 0.6064 0.6084

282.61 46.25 74.124 1.6989 2.3064 0.6052 0.6072 283.88 46.38 48.876 1.3858 1.8747 0.6077 0.6091 284.57 46.28 48.565 1.3803 1.8642 0.6080 0.6093 284.22 46.75 31.394 1.1165 1.5085 0.6090 0.6099 283.92 46.77 31.579 1.1173 1.5107 0.6075 0.6084 285.18 47.22 12.431 0.7039 0.9481 0.6076 0.6080 284.02 47.45 12.403 0.7048 0.9521 0.6076 0.6080

282.52 45.83 73.569 1.6889 2.2943 0.6066 0.6087

283.33 45.71 72.893 1.6802 2.2778 0.6071 0.6091

52
Table 35. Measured

conditio

Run ID/ Pressure

Tap (MPa)

062592- 1A 3.9891 062592- 2A 3.9884

062592- 3A 4.0096

062592- 4A 4.0085

062592- 5A 3.8671 062592- 6A 3.8641 062592- 7A 3.9274

062592- 8A 3.9279

062992- 1A 3.9641

062992- 2A 3.9621

062992- 3A 3.8229

062992- 4A 3.8202

062992- 5A 3.9310

062992- 6A 3.9603

062992- 7A 3.8762

062992- 8A 3.8739

062592- 1B 3.9891

062592- 2B 3.9884

062592- 3B 4.0096

062592- 4B 4.0085

062592- 5B 3.8671 062592- 6B 3.8641 062592- 7B 3.9274

062592- 8B 3.9279

062992- 1B 3.9641

062992- 2B 3.9621 062992- 3B 3.8229

062992- 4B 3.8202

062992- 5B 3.9310

062992- 6B 3.9603

062992- 7B 3.8762

062992- 8B 3.8739

062592- 1C 3.9891

062592- 2C 3.9884

062592- 3C 4.0096

062592- 4C 4.0085

062592- 5C 3.8671 062592- 6C 3.8641 062592- 7C 3.9274

062592- 8C 3.9279

062992- 1C 3.9641 062992- 2C 3.9621

062992- 3C 3.8229

062992- 4C 3.8202

062992- 5C 3.9310

062992- 6C 3.9603

062992- 7C 3.8762

062992- 8C 3.8739

062592- 1D 3.9891 062592- 2D 3.9884

062592- 3D 4.0096

062592- 4D 4.0085

062592- 5D 3.8671 062592- 6D 3.8641 062592- 7D 3.9274

062592- 8D 3.9279

062992- 1D 3.9641 062992- 2D 3.9621 062992- 3D 3.8229

062992- 4D 3.8202

062992- 5D 3.9310

062992- 6D 3.9603

062992- 7D 3.8762

062992- 8D 3.8739

Measured and calculated quantities for 0.73 beta ratio, elbow at 17 pipe diameters, no flow

4 flange tap locations, 52 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY 2 (K) (kg/m3

) (kPa) (kg/s) </10

6

)

284.54 47.66 22.517 1.1919 1.6075 0.6061 0.6067

284.36 47.69 22.352 1.1887 1.6039 0.6066 0.6071 284.24 47.96 12.354 0.8864 1.1960 0.6069 0.6072 284.24 47.95 12.339 0.8855 1.1948 0.6068 0.6071 282.31 46.60 48.420 1.7250 2.3428 0.6044 0.6056 283.76 46.30 48.166 1.7095 2.3135 0.6025 0.6036 282.37 47.32 34.710 1.4733 1.9991 0.6054 0.6062 283.92 47.04 34.936 1.4722 1.9901 0.6047 0.6056

284.98 47.28 12.513 0.8879 1.1966 0.6084 0.6087

284.71 47.30 12.513 0.8881 1.1977 0.6084 0.6087

282.31 46.06 48.374 1.7195 2.3365 0.6062 0.6074

283.30 45.85 47.968 1.7146 2.3243 0.6084 0.6096 284.46 46.98 22.292 1.1804 1.5934 0.6077 0.6082

283.39 47.53 22.192 1.1896 1.6096 0.6103 0.6108

284.11 46.38 34.913 1.4663 1.9825 0.6067 0.6076

283.66 46.44 34.723 1.4650 1.9829 0.6075 0.6084

284.54 47.66 22.331 1.1919 1.6075 0.6087 0.6092 284.36 47.69 22.157 1.1887 1.6039 0.6093 0.6098

284.24 47.96 12.228 0.8864 1.1960 0.6101 0.6103

284.24 47.95 12.212 0.8855 1.1948 0.6099 0.6102

282.31 46.60 48.017 1.7250 2.3428 0.6069 0.6081 283.76 46.30 47.768 1.7095 2.3135 0.6050 0.6061 282.37 47.32 34.421 1.4733 1.9991 0.6079 0.6088

283.92 47.04 34.618 1.4722 1.9901 0.6075 0.6084 284.98 47.28 12.471 0.8879 1.1966 0.6095 0.6098

284.71 47.30 12.460 0.8881 1.1977 0.6097 0.6100

282.31 46.06 48.266 1.7195 2.3365 0.6069 0.6081 283.30 45.85 47.873 1.7146 2.3243 0.6090 0.6102 284.46 46.98 22.249 1.1804 1.5934 0.6083 0.6088

283.39 47.53 22.148 1.1896 1.6096 0.6109 0.6115

284.11 46.38 34.860 1.4663 1.9825 0.6072 0.6081 283.66 46.44 34.653 1.4650 1.9829 0.6081 0.6090

284.54 47.66 22.622 1.1919 1.6075 0.6047 0.6053 284.36 47.69 22.426 1.1887 1.6039 0.6056 0.6061 284.24 47.96 12.395 0.8864 1.1960 0.6059 0.6062

284.24 47.95 12.384 0.8855 1.1948 0.6056 0.6059

282.31 46.60 48.589 1.7250 2.3428 0.6033 0.6045 283.76 46.30 48.319 1.7095 2.3135 0.6015 0.6027 282.37 47.32 34.836 1.4733 1.9991 0.6043 0.6051 283.92 47.04 35.065 1.4722 1.9901 0.6036 0.6045 284.98 47.28 12.575 0.8879 1.1966 0.6069 0.6072

284.71 47.30 12.556 0.8881 1.1977 0.6073 0.6076

282.31 46.06 48.595 1.7195 2.3365 0.6048 0.6061 283.30 45.85 48.217 1.7146 2.3243 0.6069 0.6081 284.46 46.98 22.401 1.1804 1.5934 0.6062 0.6067

283.39 47.53 22.289 1.1896 1.6096 0.6090 0.6095

284.11 46.38 35.098 1.4663 1.9825 0.6051 0.6060 283.66 46.44 34.903 1.4650 1.9829 0.6059 0.6068

284.54 47.66 22.406 1.1919 1.6075 0.6076 0.6082 284.36 47.69 22.219 1.1887 1.6039 0.6084 0.6090

284.24 47.96 12.279 0.8864 1.1960 0.6088 0.6091 284.24 47.95 12.265 0.8855 1.1948 0.6086 0.6089

282.31 46.60 48.196 1.7250 2.3428 0.6058 0.6070 283.76 46.30 47.968 1.7095 2.3135 0.6037 0.6049 282.37 47.32 34.580 1.4733 1.9991 0.6065 0.6074

283.92 47.04 34.789 1.4722 1.9901 0.6060 0.6069 284.98 47.28 12.554 0.8879 1.1966 0.6075 0.6078

284.71 47.30 12.549 0.8881 1.1977 0.6075 0.6078

282.31 46.06 48.453 1.7195 2.3365 0.6057 0.6069

283.30 45.85 48.068 1.7146 2.3243 0.6078 0.6090 284.46 46.98 22.354 1.1804 1.5934 0.6068 0.6074

283.39 47.53 22.239 1.1896 1.6096 0.6097 0.6102

284.11 46.38 35.003 1.4663 1.9825 0.6060 0.6068

283.66 46.44 34.811 1.4650 1.9829 0.6068 0.6076

53
Table 36. Measured

bundle a

Run ID/ Pressure

Tap (MPa)

062392- 1A 3.9650

062392- 2A 3.9650

062392- 5A 3.9346

062392- 6A 3.9326

062392- 7A 3.7782

062392- 8A 3.7815

062392- 9A 3.7801

062392- 10A 3.8802

062392- 11A 3.8784

062392- 1B 3.9650

062392- 2B 3.9650

062392- 5B 3.9346

062392- 6B 3.9326

062392- 7B 3.7782

062392- 8B 3.7815

062392- 9B 3.7801 062392- 10B 3.8802

062392- 11B 3.8784

062392- 1C 3.9650

062392- 2C 3.9650

062392- 5C 3.9346

062392- 6C 3.9326

062392- 7C 3.7782

062392- 8C 3.7815

062392- 9C 3.7801

062392- 10C 3.8802

062392- 11C 3.8784

062392- 1D 3.9650

062392- 2D 3.9650

062392- 5D 3.9346

062392- 6D 3.9326

062392- 7D 3.7782

062392- 8D 3.7815

062392- 9D 3.7801

062392- 10D 3.8802

062392- 11D 3.8784

Measured and calculated quantities for 0.54 beta ratio, elbow at 17 pipe diameters, 7 bundle at 11D, 4 flange tap locations, 52 mm orifice meter.

tube

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/106

)

285.17 47.26 12.704 0.4465 0.6014 0.6063 0.6067

285.36 47.22 12.739 0.4479 0.6030 0.6076 0.6080

283.81 47.14 36.531 0.7578 1.0245 0.6068 0.6080

284.44 47.00 37.066 0.7620 1.0286 0.6067 0.6078

283.62 45.29 148.160 1.5075 2.0430 0.6079 0.6127

281.99 45.62 144.822 1.4934 2.0319 0.6070 0.6117

282.17 45.57 145.048 1.4948 2.0331 0.6075 0.6122

284.12 46.43 75.027 1.0807 1.4610 0.6072 0.6096

284.01 46.43 75.466 1.0861 1.4687 0.6085 0.6109

285.17 47.26 12.752 0.4465 0.6014 0.6052 0.6056

285.36 47.22 12.788 0.4479 0.6030 0.6064 0.6068

283.81 47.14 36.556 0.7578 1.0245 0.6066 0.6077

284.44 47.00 37.101 0.7620 1.0286 0.6064 0.6075 283.62 45.29 148.095 1.5075 2.0430 0.6080 0.6128

281.99 45.62 144.735 1.4934 2.0319 0.6072 0.6119 282.17 45.57 144.930 1.4948 2.0331 0.6077 0.6124

284.12 46.43 75.027 1.0807 1.4610 0.6072 0.6096

284.01 46.43 75.444 1.0861 1.4687 0.6086 0.6110 285.17 47.26 12.751 0.4465 0.6014 0.6052 0.6056 285.36 47.22 12.790 0.4479 0.6030 0.6064 0.6068

283.81 47.14 36.580 0.7578 1.0245 0.6064 0.6075 284.44 47.00 37.143 0.7620 1.0286 0.6060 0.6072 283.62 45.29 148.368 1.5075 2.0430 0.6074 0.6123 281.99 45.62 145.076 1.4934 2.0319 0.6065 0.6112 282.17 45.57 145.256 1.4948 2.0331 0.6070 0.6117

284.12 46.43 75.167 1.0807 1.4610 0.6067 0.6091 284.01 46.43 75.593 1.0861 1 .4687 0.6080 0.6104

285.17 47.26 12.733 0.4465 0.6014 0.6056 0.6060 285.36 47.22 12.772 0.4479 0.6030 0.6068 0.6072

283.81 47.14 36.564 0.7578 1.0245 0.6065 0.6077

284.44 47.00 37.123 0.7620 1.0286 0.6062 0.6074

283.62 45.29 148.280 1.5075 2.0430 0.6076 0.6124 281.99 45.62 144.975 1.4934 2.0319 0.6067 0.6114 282.17 45.57 145.237 1.4948 2.0331 0.6071 0.6118

284.12 46.43 75.132 1.0807 1.4610 0.6068 0.6092

284.01 46.43 75.535 1.0861 1.4687 0.6082 0.6106

54
Table 37. Measured and calculated quantities for 0.54 beta ratio, elbow at 17 pipe diameters, 7 tube bundle at 70, 4 flange tap locations, 52 mm orifice meter.

Run ID/ Tap

072092- 1A 072092- 2A 072092- 3A

072092- 4A

072092- 5

072092- 6A 072092- 7A 072092- 8A

072092- 1B 072092- 2B 072092- 3B 072092- 4B 072092- 5B 072092- 6B 072092- 7B 072092- 8B

072092- 1C 072092- 2C 072092- 3C 072092- 4C 072092- 5C 072092- 6C 072092- 7C 072092- 8C

072092- 1D 072092- 2D 072092- 3D 072092- 4D 072092- 5D 072092- 6D 072092- 7D 072092- 8D

Pressure

(MPa)

3.7872 3.7928

8820

8811 9621 9654 9396

9430

3.7872

3.7928

3.8820

3.8811

3.9621 3.9654 3.9396

3.9430

3.7872

,7928

.8820

,8811

,9621 ,9654

,9396 3.9430

3.7872 3.7928

3.8820

3.8811

3.9621 3.9654 3.9396

3.9430

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

285.03 45.15 142.521 1.4693 1.9841 0.6052 0.6098

285.03 45.22 139.875 1.4561 1.9662 0.6051 0.6096 285.16 46.26 79.998 1.1133 1.5012 0.6067 0.6092 286.12 46.08 81.619 1.1199 1.5067 0.6054 0.6080 286.27 47.02 13.904 0.4651 0.6248 0.6051 0.6056 286.39 47.04 14.175 0.4698 0.6310 0.6053 0.6057

285.87 46.82 31.458 0.6996 0.9410 0.6058 0.6068

285.72 46.89 31.397 0.6994 0.9411 0.6058 0.6068

285.03 45.15 142.453 1.4693 1.9841 0.6053 0.6099

285.03 45.22 139.835 1.4561 1.9662 0.6052 0.6097

285.16 46.26 79.973 1.1133 1.5012 0.6068 0.6093

286.12 46.08 81.622 1.1199 1.5067 0.6054 0.6080 286.27 47.02 13.917 0.4651 0.6248 0.6049 0.6053 286.39 47.04 14.195 0.4698 0.6310 0.6049 0.6053 285.87 46.82 31.453 0.6996 0.9410 0.6059 0.6069

285.72 46.89 31.416 0.6994 0.9411 0.6057 0.6066

285.03 45.15 142.477 1.4693 1.9841 0.6053 0.6099

285.03 45.22 139.842 1.4561 1.9662 0.6051 0.6096 285.16 46.26 79.952 1.1133 1.5012 0.6069 0.6094 286.12 46.08 81.621 1.1199 1.5067 0.6054 0.6080 286.27 47.02 13.911 0.4651 0.6248 0.6050 0.6054 286.39 47.04 14.199 0.4698 0.6310 0.6048 0.6052 285.87 46.82 31.445 0.6996 0.9410 0.6060 0.6069

285.72 46.89 31.405 0.6994 0.9411 0.6058 0.6067

285.03 45.15 142.537 1.4693 1.9841 0.6052 0.6098

285.03 45.22 139.949 1.4561 1.9662 0.6049 0.6094 285.16 46.26 80.066 1.1133 1.5012 0.6065 0.6090

286.12 46.08 81.708 1.1199 1.5067 0.6051 0.6076 286.27 47.02 14.001 0.4651 0.6248 0.6031 0.6035 286.39 47.04 14.288 0.4698 0.6310 0.6029 0.6033 285.87 46.82 31.544 0.6996 0.9410 0.6050 0.6060 285.72 46.89 31.483 0.6994 0.9411 0.6050 0.6060

Table 38. Measured and calculated quantities for 0.67 beta ratio, elbow at 17 pipe diameters, 7 tube bundle at 11D, 4 flange tap locations, 52 mm orifice meter.

Run ID/ Tap

062292- 1A 062292- 2A 062292- 3A 062292- 4A 062292- 5A 062292- 6A 062292- 7A

062292- 1B 062292- 2B 062292- 3B 062292- 4B 062292- 5B 062292- 6B 062292- 7B

062292- 1C 062292- 2C 062292- 3C 062292- 4C 062292- 5C 062292- 6C 062292- 7C

062292- 1D 062292- 2D 062292- 3D 062292- 4D 062292- 5D 062292- 6D 062292- 7D

Pressure

(MPa)

3.9140

3.9108

3.7997

3.8083 3.9608

3.9660

3.9499

3.9140

3.9108

3.7997

3.8083 3.9608

3.9660

3.9499

3.9140

3.9108

3.7997

3.8083 3.9608

3.9660 3.9499

3.9140

3.9108 3.7997

3.8083 3.9608

3.9660 3.9499

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

284.21 46.82 30.199 1.0946 1.4789 0.6084 0.6092

284.12 46.80 30.151 1.0933 1.4775 0.6083 0.6091 283.62 45.55 73.747 1.6855 2.2837 0.6065 0.6086 282.07 45.93 72.341 1.6711 2.2726 0.6047 0.6067

284.63 47.30 11.756 0.6855 0.9246 0.6080 0.6083 284.46 47.40 11.815 0.6876 0.9278 0.6077 0.6080 283.06 47.46 48.220 1.3922 1.8854 0.6077 0.6090

284.21 46.82 30.128 1.0946 1.4789 0.6091 0.6099

284.12 46.80 30.083 1.0933 1.4775 0.6090 0.6098

283.62 45.55 73.668 1.6855 2.2837 0.6068 0.6089 282.07 45.93 72.250 1.6711 2.2726 0.6051 0.6071 284.63 47.30 11.662 0.6855 0.9246 0.6104 0.6107

284.46 47.40 11.720 0.6876 0.9278 0.6102 0.6105 283.06 47.46 48.141 1.3922 1.8854 0.6082 0.6095

284.21 46.82 30.330 1.0946 1.4789 0.6070 0.6079

284.12 46.80 30.299 1.0933 1.4775 0.6068 0.6076

283.62 45.55 74.069 1.6855 2.2837 0.6052 0.6073 282.07 45.93 72.685 1.6711 2.2726 0.6032 0.6053

284.63 47.30 11.797 0.6855 0.9246 0.6069 0.6072 284.46 47.40 11.857 0.6876 0.9278 0.6067 0.6070 283.06 47.46 48.447 1.3922 1.8854 0.6063 0.6076

284.21 46.82 30.226 1.0946 1.4789 0.6081 0.6089

284.12 46.80 30.188 1.0933 1.4775 0.6079 0.6087

283.62 45.55 73.866 1.6855 2.2837 0.6060 0.6081 282.07 45.93 72.478 1.6711 2.2726 0.6041 0.6061 284.63 47.30 11.733 0.6855 0.9246 0.6085 0.6089

284.46 47.40 11.792 0.6876 0.9278 0.6083 0.6087

283.06 47.46 48.312 1.3922 1.8854 0.6071 0.6084

55
Table 39. Measured

bundle a

Run ID/ Pressure

Tap (MPa)

072092- 1A 3.8449

072092- 2A 3.8335

072092- 3A 3.9252

072092- 4A 3.9264

072092- 5A 3.9683

072092- 6A 3.9681

072092- 7A 3.8901

072092- 8A 3.8884

072092- 1B 3.8449

072092- 2B 3.8335

072092- 3B 3.9252

072092- 4B 3.9264

072092- 5B 3.9683

072092- 6B 3.9681 072092- 7B 3.8901 072092- 8B 3.8884

072092- 1C 3.8449

072092- 2C 3.8335

072092- 3C 3.9252

072092- 4C 3.9264

072092- 5C 3.9683

072092- 6C 3.9681

072092- 7C 3.8901 072092- 8C 3.8884

072092- 1D 3.8449

072092- 2D 3.8335

072092- 3D 3.9252

072092- 4D 3.9264

072092- 5D 3.9683

072092- 6D 3.9681 072092- 7D 3.8901 072092- 8D 3.8884

Measured and calculated quantities for 0.67 beta ratio, elbow at 17 pipe diameters, 7 tube bundle at 7D, 4 flange tap locations, 52 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY 2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

285.84 45.70 71.357 1.6602 2.2360 0.6064 0.6084

284.71 45.76 69.884 1.6372 2.2114 0.6039 0.6058

287.15 46.42 32.045 1.1226 1.5056 0.6081 0.6090

286.22 46.60 32.142 1.1245 1.5116 0.6071 0.6080 285.28 47.28 13.481 0.7341 0.9886 0.6081 0.6085 286.44 47.06 13.538 0.7341 0.9858 0.6082 0.6086

285.33 46.33 50.066 1.4003 1.8872 0.6070 0.6084 284.90 46.39 49.794 1.3975 1.8854 0.6071 0.6085

285.84 45.70 71.252 1.6602 2.2360 0.6068 0.6088

284.71 45.76 69.748 1.6372 2.2114 0.6045 0.6064

287.15 46.42 32.003 1.1226 1.5056 0.6085 0.6094

286.22 46.60 32.113 1.1245 1.5116 0.6074 0.6083 285.28 47.28 13.455 0.7341 0.9886 0.6087 0.6091 286.44 47.06 13.527 0.7341 0.9858 0.6085 0.6089

285.33 46.33 49.991 1.4003 1.8872 0.6075 0.6089

284.90 46.39 49.723 1.3975 1.8854 0.6075 0.6089

285.84 45.70 71.412 1.6602 2.2360 0.6062 0.6081

284.71 45.76 69.930 1.6372 2.2114 0.6037 0.6056

287.15 46.42 32.080 1.1226 1.5056 0.6078 0.6087

286.22 46.60 32.188 1.1245 1.5116 0.6067 0.6076

285.28 47.28 13.496 0.7341 0.9886 0.6078 0.6082

286.44 47.06 13.567 0.7341 0.9858 0.6076 0.6080

285.33 46.33 50.125 1.4003 1.8872 0.6067 0.6080

284.90 46.39 49.841 1.3975 1.8854 0.6068 0.6082

285.84 45.70 71.382 1.6602 2.2360 0.6063 0.6083

284.71 45.76 69.909 1.6372 2.2114 0.6038 0.6057

287.15 46.42 32.098 1.1226 1.5056 0.6076 0.6085 286.22 46.60 32.218 1.1245 1.5116 0.6064 0.6073 285.28 47.28 13.537 0.7341 0.9886 0.6069 0.6072 286.44 47.06 13.611 0.7341 0.9858 0.6066 0.6070 285.33 46.33 50.136 1.4003 1.8872 0.6066 0.6080 284.90 46.39 49.848 1.3975 1.8854 0.6068 0.6081

56
Table 40. Measured

bundle a

Run ID/ Pressure

Tap (MPa)

063092- 2A 3.8658

063092- 3A 3.7548

063092- 4A 3.7573

063092- 5A 3.8809

063092- 6A 3.8842

063092- 7A 3.8200

063092- 8A 3.8168

063092- 1A 3.8265

063092- 2A 3.8222

063092- 3A 3.8666

063092- 4A 3.8595

063092- 5A 3.8920

063092- 6A 3.8933

063092- 7A 3.7552

063092- 8A 3.7587

063092- 2B 3.8658

063092- 3B 3.7548

063092- 4B 3.7573

063092- 5B 3.8809

063092- 6B 3.8842

063092- 7B 3.8200

063092- 8B 3.8168

063092- 1B 3.8265

063092- 2B 3.8222

063092- 3B 3.8666

063092- 4B 3.8595

063092- 5B 3.8920

063092- 6B 3.8933

063092- 7B 3.7552

063092- 8B 3.7587

063092- 2C 3.8658

063092- 3C 3.7548

063092- 4C 3.7573

063092- 5C 3.8809

063092- 6C 3.8842

063092- 7C 3.8200

063092- 8C 3.8168

063092- 1C 3.8265

063092- 2C 3.8222

063092- 3C 3.8666

063092- 4C 3.8595

063092- 5C 3.8920

063092- 6C 3.8933

063092- 7C 3.7552

063092- 8C 3.7587

063092- 2D 3.8658

063092- 3D 3.7548

063092- 4D 3.7573

063092- 5D 3.8809

063092- 6D 3.8842

063092- 7D 3.8200

063092- 8D 3.8168

063092- 1D 3.8265

063092- 2D 3.8222

063092- 3D 3.8666

063092- 4D 3.8595

063092- 5D 3.8920

063092- 6D 3.8933

063092- 7D 3.7552

063092- 8D 3.7587

Measured and calculated quantities for 0.73 beta ratio, elbow at 17 pipe diameters, 7 tube bundle at 12D, 4 flange tap locations, 52 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY 2 (K) (kg/m3

) (kPa) (kg/s) </10

6

)

283.67 46.34 22.260 1.1706 1.5846 0.6072 0.6078

283.43 45.04 47.976 1.6975 2.3022 0.6077 0.6089 281.68 45.38 47.313 1.6872 2.2981 0.6060 0.6072

284.15 46.43 12.780 0.8914 1.2050 0.6099 0.6102 284.27 46.45 12.850 0.8942 1.2083 0.6100 0.6103 282.68 45.96 34.528 1.4580 1.9795 0.6094 0.6103 282.84 45.90 34.129 1.4416 1.9565 0.6066 0.6074 283.09 45.97 33.713 1.4392 1.9519 0.6088 0.6097

283.20 45.90 33.360 1.4348 1.9455 0.6106 0.6115 283.03 46.46 22.702 1.1882 1.6109 0.6095 0.6101 283.51 46.29 22.762 1.1888 1.6100 0.6102 0.6107

283.86 46.62 12.007 0.8655 1.1706 0.6097 0.6100

284.41 46.54 12.052 0.8660 1.1697 0.6095 0.6098

281.48 45.39 48.063 1.7062 2.3252 0.6080 0.6092 282.18 45.31 47.367 1.6946 2.3053 0.6088 0.6100

283.67 46.34 22.214 1.1706 1.5846 0.6079 0.6084

283.43 45.04 47.853 1.6975 2.3022 0.6085 0.6097

281.68 45.38 47.223 1.6872 2.2981 0.6066 0.6078

284.15 46.43 12.760 0.8914 1.2050 0.6104 0.6107

284.27 46.45 12.835 0.8942 1.2083 0.6103 0.6107

282.68 45.96 34.453 1.4580 1.9795 0.6101 0.6110

282.84 45.90 34.045 1.4416 1.9565 0.6073 0.6082

283.09 45.97 33.641 1.4392 1.9519 0.6095 0.6103 283.20 45.90 33.306 1.4348 1.9455 0.6111 0.6120

283.03 46.46 22.674 1.1882 1.6109 0.6099 0.6105

283.51 46.29 22.726 1.1888 1.6100 0.6106 0.6112 283.86 46.62 11.994 0.8655 1.1706 0.6101 0.6104

284.41 46.54 12.032 0.8660 1.1697 0.6100 0.6103 281.48 45.39 47.984 1.7062 2.3252 0.6085 0.6097

282.18 45.31 47.297 1.6946 2.3053 0.6092 0.6104

283.67 46.34 22.369 1.1706 1.5846 0.6058 0.6063 283.43 45.04 48.243 1.6975 2.3022 0.6060 0.6072 281.68 45.38 47.609 1.6872 2.2981 0.6041 0.6053

284.15 46.43 12.833 0.8914 1.2050 0.6086 0.6089 284.27 46.45 12.903 0.8942 1.2083 0.6087 0.6091 282.68 45.96 34.716 1.4580 1.9795 0.6078 0.6087

282.84 45.90 34.311 1.4416 1.9565 0.6049 0.6058 283.09 45.97 33.839 1.4392 1.9519 0.6077 0.6085 283.20 45.90 33.480 1.4348 1.9455 0.6096 0.6104 283.03 46.46 22.779 1.1882 1.6109 0.6085 0.6091

283.51 46.29 22.834 1.1888 1.6100 0.6092 0.6098 283.86 46.62 12.009 0.8655 1.1706 0.6097 0.6100

284.41 46.54 12.047 0.8660 1.1697 0.6096 0.6099 281.48 45.39 48.276 1.7062 2.3252 0.6066 0.6078

282.18 45.31 47.601 1.6946 2.3053 0.6073 0.6085

283.67 46.34 22.250 1.1706 1.5846 0.6074 0.6079 283.43 45.04 48.016 1.6975 2.3022 0.6074 0.6087

281.68 45.38 47.390 1.6872 2.2981 0.6055 0.6067

284.15 46.43 12.748 0.8914 1.2050 0.6107 0.6110 284.27 46.45 12.813 0.8942 1.2083 0.6109 0.6112 282.68 45.96 34.566 1.4580 1.9795 0.6091 0.6100

282.84 45.90 34.147 1.4416 1.9565 0.6064 0.6072 283.09 45.97 33.719 1.4392 1.9519 0.6088 0.6096

283.20 45.90 33.356 1.4348 1.9455 0.6107 0.6115 283.03 46.46 22.682 1.1882 1.6109 0.6098 0.6104

283.51 46.29 22.727 1.1888 1.6100 0.6106 0.6112 283.86 46.62 11.965 0.8655 1.1706 0.6108 0.6111 284.41 46.54 11.998 0.8660 1.1697 0.6108 0.6111 281.48 45.39 48.073 1.7062 2.3252 0.6079 0.6091 282.18 45.31 47.389 1.6946 2.3053 0.6086 0.6098

57
Table 41. Measured

bundle a

Run ID/ Pressure

Tap (MPa)

071792- 1A 3.9361

071792- 2A 3.9401 071792- 3A 3.8324

071792- 4A 3.8321 071792- 5A 3.9459

071792- 6A 3.9415

071792- 7A 3.8905

071792- 8A 3.8864

071792- 1B 3.9361

071792- 2B 3.9401

071792- 3B 3.8324

071792- 4B 3.8321 071792- 5B 3.9459

071792- 6B 3.9415

071792- 7B 3.8905

071792- 8B 3.8864

071792- 1C 3.9361

071792- 2C 3.9401

071792- 3C 3.8324

071792- 4C 3.8321

071792- 5C 3.9459

071792- 6C 3.9415

071792- 7C 3.8905

071792- 8C 3.8864

071792- 1D 3.9361

071792- 2D 3.9401

071792- 3D 3.8324

071792- 4D 3.8321

071792- 5D 3.9459

071792- 6D 3.9415

071792- 7D 3.8905

071792- 8D 3.8864

Measured and calculated quantities for 0.73 beta ratio, elbow at 17 pipe diameters, 7 bundle at 7D, 4 flange tap locations, 52 mm orifice meter.

tube

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) </10

6

)

284.02 47.12 24.847 1.2487 1.6873 0.6079 0.6085 284.02 47.17 24.810 1.2460 1.6837 0.6068 0.6074 284.26 45.83 50.221 1.7476 2.3631 0.6062 0.6074

283.70 45.92 49.902 1.7495 2.3689 0.6081 0.6094

283.32 47.37 13.255 0.9153 1.2387 0.6088 0.6091 284.43 47.11 13.559 0.9228 1.2457 0.6085 0.6089 282.47 46.85 34.951 1.4748 2.0016 0.6069 0.6078

282.92 46.72 35.035 1.4823 2.0097 0.6101 0.6110

284.02 47.12 24.953 1.2487 1.6873 0.6066 0.6073 284.02 47.17 24.927 1.2460 1.6837 0.6053 0.6059 284.26 45.83 50.336 1.7476 2.3631 0.6055 0.6067

283.70 45.92 50.018 1.7495 2.3689 0.6074 0.6087

283.32 47.37 13.383 0.9153 1.2387 0.6059 0.6062 284.43 47.11 13.675 0.9228 1.2457 0.6059 0.6063 282.47 46.85 35.049 1.4748 2.0016 0.6060 0.6069

282.92 46.72 35.137 1.4823 2.0097 0.6092 0.6101

284.02 47.12 24.935 1.2487 1.6873 0.6069 0.6075 284.02 47.17 24.893 1.2460 1.6837 0.6058 0.6064 284.26 45.83 50.342 1.7476 2.3631 0.6054 0.6067

283.70 45.92 50.014 1.7495 2.3689 0.6075 0.6087

283.32 47.37 13.298 0.9153 1.2387 0.6078 0.6081 284.43 47.11 13.591 0.9228 1.2457 0.6078 0.6082 282.47 46.85 35.044 1.4748 2.0016 0.6061 0.6070 282.92 46.72 35.124 1.4823 2.0097 0.6093 0.6102

284.02 47.12 24.851 1.2487 1.6873 0.6079 0.6085 284.02 47.17 24.810 1.2460 1.6837 0.6068 0.6074 284.26 45.83 50.190 1.7476 2.3631 0.6064 0.6076

283.70 45.92 49.866 1.7495 2.3689 0.6084 0.6096

283.32 47.37 13.252 0.9153 1.2387 0.6089 0.6092 284.43 47.11 13.547 0.9228 1.2457 0.6088 0.6091 282.47 46.85 34.920 1.4748 2.0016 0.6072 0.6080

282.92 46.72 35.001 1.4823 2.0097 0.6104 0.6113

58
Table 42. Measured and calculated quant i t i es for 0.54 bet a ratio, elbow at 17 pipe diameters, 19 ti bundle at 12D , 4 flange tap locations, 52 mm on fice meter.

Run ID/ Pressure Temp. Density Dif Press Flow Rate P ipe Re No. C CY2 Tap (MPa) (K) (kg/m3

) (kPa) (kg/s) </10

6

)

070192- 1A 3.8145 282.31 45.96 144.366 1.4938 2.0301 0.6059 0.6106

070192- 2A 3.8132 282.66 45.88 141.518 1.4816 2.0118 0.6076 0.6122

070192- 3A 3.9481 284.69 47.14 38.409 0.7764 1.0473 0.6063 0.6075

070192- 4A 3.9377 284.67 47.02 39.418 0.7851 1.0592 0.6059 0.6071 070192- 5A 3.9072 285.36 46.53 80.097 1.1167 1.5046 0.6065 0.6090

070192- 6A 3.9097 284.09 46.79 79.515 1.1185 1.5116 0.6080 0.6105

070192- 7A 3.9872 284.98 47.56 12.712 0.4474 0.6027 0.6054 0.6058

070192- 8A 3.9839 285.19 47.48 12.878 0.4509 0.6071 0.6066 0.6070

071692- 1A 3.8607 283.04 46.39 81.421 1.1276 1.5288 0.6083 0.6109

071692- 2A 3.8592 283.38 46.31 81.223 1.1228 1.5210 0.6069 0.6095

071692- 3A 3.9104 283.77 46.86 36.310 0.7538 1.0195 0.6073 0.6085

071692- 4A 3.9111 284.07 46.81 36.377 0.7541 1.0192 0.6073 0.6084

071692- 5A 3.7564 282.84 45.17 144.741 1.4837 2.0152 0.6063 0.6110

071692- 6A 3.7616 283.64 45.09 141.706 1.4639 1.9842 0.6051 0.6097

071692- 7A 3.9336 284.02 47.09 12.415 0.4403 0.5950 0.6060 0.6063

071692- 8A 3.9337 284.12 47.07 12.662 0.4449 0.6011 0.6064 0.6068

070192- 1B 3.8145 282.31 45.96 144.450 1.4938 2.0301 0.6058 0.6104

070192- 2B 3.8132 282.66 45.88 141.638 1.4816 2.0118 0.6074 0.6119

070192- 3B 3.9481 284.69 47.14 38.420 0.7764 1.0473 0.6062 0.6074

070192- 4B 3.9377 284.67 47.02 39.421 0.7851 1.0592 0.6059 0.6071 070192- 5B 3.9072 285.36 46.53 80.136 1.1167 1.5046 0.6063 0.6088

070192- 6B 3.9097 284.09 46.79 79.586 1.1185 1.5116 0.6077 0.6102

070192- 7B 3.9872 284.98 47.56 12.687 0.4474 0.6027 0.6060 0.6064

070192- 8B 3.9839 285.19 47.48 12.847 0.4509 0.6071 0.6074 0.6078

071692- 1B 3.8607 283.04 46.39 81.559 1.1276 1.5288 0.6078 0.6104

071692- 2B 3.8592 283.38 46.31 81.363 1.1228 1.5210 0.6064 0.6090

071692- 3B 3.9104 283.77 46.86 36.371 0.7538 1.0195 0.6068 0.6079

071692- 4B 3.9111 284.07 46.81 36.443 0.7541 1.0192 0.6067 0.6079

071692- 5B 3.7564 282.84 45.17 144.964 1.4837 2.0152 0.6058 0.6105

071692- 6B 3.7616 283.64 45.09 141.906 1.4639 1.9842 0.6047 0.6093

071692- 7B 3.9336 284.02 47.09 12.432 0.4403 0.5950 0.6055 0.6059

071692- 8B 3.9337 284.12 47.07 12.687 0.4449 0.6011 0.6058 0.6062

070192- 1C 3.8145 282.31 45.96 144.537 1 .4938 2.0301 0.6056 0.6102

070192- 2C 3.8132 282.66 45.88 141.681 1.4816 2.0118 0.6073 0.6118

070192- 3C 3.9481 284.69 47.14 38.442 0.7764 1.0473 0.6060 0.6072

070192- 4C 3.9377 284.67 47.02 39.431 0.7851 1.0592 0.6058 0.6070

070192- 5C 3.9072 285.36 46.53 80.150 1.1167 1.5046 0.6063 0.6088

070192- 6C 3.9097 284.09 46.79 79.642 1.1185 1.5116 0.6075 0.6100

070192- 7C 3.9872 284.98 47.56 12.701 0.4474 0.6027 0.6057 0.6060

070192- 8C 3.9839 285.19 47.48 12.865 0.4509 0.6071 0.6069 0.6073

071692- 1C 3.8607 283.04 46.39 81.511 1.1276 1.5288 0.6079 0.6105

071692- 2C 3.8592 283.38 46.31 81.325 1.1228 1.5210 0.6066 0.6091 071692- 3C 3.9104 283.77 46.86 36.338 0.7538 1.0195 0.6071 0.6082

071692- 4C 3.9111 284.07 46.81 36.420 0.7541 1.0192 0.6069 0.6081 071692- 5C 3.7564 282.84 45.17 144.949 1.4837 2.0152 0.6058 0.6106

071692- 6C 3.7616 283.64 45.09 141.904 1.4639 1.9842 0.6047 0.6093

071692- 7C 3.9336 284.02 47.09 12.395 0.4403 0.5950 0.6064 0.6068

071692- 8C 3.9337 284.12 47.07 12.649 0.4449 0.6011 0.6067 0.6071

070192- 1D 3.8145 282.31 45.96 144.456 1.4938 2.0301 0.6057 0.6104

070192- 2D 3.8132 282.66 45.88 141.612 1.4816 2.0118 0.6074 0.6120

070192- 3D 3.9481 284.69 47.14 38.423 0.7764 1.0473 0.6062 0.6074

070192- 4D 3.9377 284.67 47.02 39.418 0.7851 1.0592 0.6059 0.6071 070192- 5D 3.9072 285.36 46.53 80.129 1.1167 1.5046 0.6064 0.6089

070192- 6D 3.9097 284.09 46.79 79.596 1.1185 1.5116 0.6077 0.6102

070192- 7D 3.9872 284.98 47.56 12.684 0.4474 0.6027 0.6061 0.6064

070192- 8D 3.9839 285.19 47.48 12.842 0.4509 0.6071 0.6075 0.6079

071692- 1D 3.8607 283.04 46.39 81.520 1.1276 1.5288 0.6079 0.6105

071692- 2D 3.8592 283.38 46.31 81.342 1.1228 1.5210 0.6065 0.6091 071692- 3D 3.9104 283.77 46.86 36.338 0.7538 1.0195 0.6071 0.6082

071692- 4D 3.9111 284.07 46.81 36.423 0.7541 1.0192 0.6069 0.6080

071692- 5D 3.7564 282.84 45.17 144.970 1.4837 2.0152 0.6058 0.6105

071692- 6D 3.7616 283.64 45.09 141.913 1.4639 1.9842 0.6047 0.6093

071692- 7D 3.9336 284.02 47.09 12.384 0.4403 0.5950 0.6067 0.6071 071692- 8D 3.9337 284.12 47.07 12.634 0.4449 0.6011 0.6070 0.6074

59
Table 43. Measured

bundle a

Run ID/ Pressure

Tap (MPa)

072192- 1A 3.8083

072192- 2A 3.8100

072192- 3A 3.9096

072192- 4A 3.9097

072192- 5A 3.9757

072192- 6A 3.9761 072192- 7A 3.9553

072192- 8A 3.9558

072192- 1B 3.8083

072192- 2B 3.8100

072192- 3B 3.9096

072192- 4B 3.9097

072192- 5B 3.9757

072192- 6B 3.9761

072192- 7B 3.9553

072192- 8B 3.9558

072192- 1C 3.8083

072192- 2C 3.8100

072192- 3C 3.9096

072192- 4C 3.9097

072192- 5C 3.9757

072192- 6C 3.9761 072192- 7C 3.9553

072192- 8C 3.9558

072192- 1D 3.8083

072192- 2D 3.8100

072192- 3D 3.9096

072192- 4D 3.9097

072192- 5D 3.9757

072192- 6D 3.9761

072192- 7D 3.9553

072192- 8D 3.9558

Measured and calculated quantities for 0.54 beta ratio, elbow at 17 pipe diameters, 19 tube bundle at 7D, 4 flange tap locations, 52 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

286.42 45.16 145.823 1.4912 2.0064 0.6070 0.6117

285.03 45.43 143.247 1.4824 2.0013 0.6072 0.6118

286.49 46.35 77.913 1.1004 1.4785 0.6071 0.6096

286.42 46.37 78.390 1.1042 1.4838 0.6072 0.6097

286.87 47.07 13.302 0.4573 0.6134 0.6080 0.6085 287.06 47.04 13.551 0.4604 0.6173 0.6067 0.6071 286.32 46.93 30.792 0.6948 0.9333 0.6075 0.6084 287.16 46.78 30.958 0.6962 0.9334 0.6080 0.6090

286.42 45.16 146.097 1.4912 2.0064 0.6065 0.6112 285.03 45.43 143.505 1.4824 2.0013 0.6067 0.6113 286.49 46.35 78.042 1.1004 1.4785 0.6066 0.6091 286.42 46.37 78.537 1.1042 1.4838 0.6067 0.6091 286.87 47.07 13.341 0.4573 0.6134 0.6071 0.6076 287.06 47.04 13.590 0.4604 0.6173 0.6058 0.6062 286.32 46.93 30.883 0.6948 0.9333 0.6066 0.6076 287.16 46.78 31.027 0.6962 0.9334 0.6073 0.6083

286.42 45.16 146.082 1.4912 2.0064 0.6065 0.6112

285.03 45.43 143.557 1.4824 2.0013 0.6065 0.6112 286.49 46.35 78.052 1.1004 1.4785 0.6066 0.6090

286.42 46.37 78.543 1.1042 1.4838 0.6067 0.6091 286.87 47.07 13.282 0.4573 0.6134 0.6085 0.6089

287.06 47.04 13.531 0.4604 0.6173 0.6071 0.6075 286.32 46.93 30.838 0.6948 0.9333 0.6070 0.6080 287.16 46.78 31.002 0.6962 0.9334 0.6076 0.6085

286.42 45.16 145.902 1.4912 2.0064 0.6069 0.6116

285.03 45.43 143.355 1.4824 2.0013 0.6070 0.6116

286.49 46.35 77.997 1.1004 1.4785 0.6068 0.6092 286.42 46.37 78.502 1.1042 1.4838 0.6068 0.6093 286.87 47.07 13.328 0.4573 0.6134 0.6075 0.6079 287.06 47.04 13.578 0.4604 0.6173 0.6061 0.6065 286.32 46.93 30.856 0.6948 0.9333 0.6069 0.6078 287.16 46.78 31.016 0.6962 0.9334 0.6074 0.6084

60
Table 44. Measured

bundle a

Run ID/ Pressure

Tap (MPa)

070192- 1A 3.9450

070192- 2A 3.9421 070192- 3A 3.9703

070192- 4A 3.9716

070192- 5A 4.0032

070192- 6A 4.0014

070192- 7A 3.8681

070192- 8A 3.8686

071692- 1A 3.8650

071692- 3A 3.9538

071692- 4A 3.9465

071692- 5A 3.9195

071692- 6A 3.9159

071692- 7A 3.8667

071692- 8A 3.7938

071692- 9A 3.7936

070192- 1B 3.9450

070192- 2B 3.9421

070192- 3B 3.9703

070192- 4B 3.9716

070192- 5B 4.0032

070192- 6B 4.0014

070192- 7B 3.8681 070192- 8B 3.8686

071692- 1B 3.8650

071692- 3B 3.9538

071692- 4B 3.9465

071692- 5B 3.9195

071692- 6B 3.9159

071692- 7B 3.8667

071692- 8B 3.7938

071692- 9B 3.7936

070192- 1C 3.9450

070192- 2C 3.9421

070192- 3C 3.9703

070192- 4C 3.9716

070192- 5C 4.0032

070192- 6C 4.0014

070192- 7C 3.8681 070192- 8C 3.8686

071692- 1C 3.8650

071692- 3C 3.9538

071692- 4C 3.9465

071692- 5C 3.9195

071692- 6C 3.9159

071692- 7C 3.8667

071692- 8C 3.7938

071692- 9C 3.7936

070192- 10 3.9450

070192- 2D 3.9421

070192- 3D 3.9703

070192- 4D 3.9716

070192- 5D 4.0032

070192- 6D 4.0014

070192- 7D 3.8681 070192- 8D 3.8686

071692- ID 3.8650

071692- 3D 3.9538

071692- 4D 3.9465

071692- 5D 3.9195

071692- 6D 3.9159

071692- 7D 3.8667

071692- 8D 3.7938

071692- 9D 3.7936

Measured and calculated quantities for 0.67 beta ratio, elbow at 17 pipe diameters, 19 tube bundle at 12D, 4 flange tap locations, 52 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

284.14 47.20 47.410 1.3813 1.8657 0.6097 0.6110 283.72 47.25 46.754 1.3696 1.8519 0.6085 0.6098

284.98 47.36 31.863 1.1336 1.5276 0.6098 0.6107

284.18 47.52 31.674 1.1319 1.5283 0.6097 0.6106

284.61 47.82 12.764 0.7202 0.9709 0.6097 0.6100

285.20 47.69 12.854 0.7205 0.9701 0.6087 0.6090

285.32 46.07 72.232 1.6817 2.2671 0.6080 0.6100 284.56 46.21 71.053 1.6780 2.2663 0.6108 0.6128 284.89 46.11 49.684 1.3974 1.8859 0.6096 0.6110

283.73 47.39 12.248 0.7015 0.9484 0.6091 0.6094 283.48 47.34 12.330 0.7042 0.9528 0.6096 0.6100

284.03 46.92 30.440 1.1034 1.4913 0.6102 0.6110

284.30 46.83 30.329 1.1000 1.4857 0.6100 0.6108

284.31 46.23 48.503 1.3846 1.8713 0.6105 0.6119

284.23 45.37 73.537 1.6857 2.2806 0.6086 0.6107

283.09 45.57 72.614 1.6861 2.2876 0.6113 0.6134

284.14 47.20 47.437 1.3813 1.8657 0.6095 0.6108

283.72 47.25 46.797 1.3696 1.8519 0.6083 0.6095 284.98 47.36 31.866 1.1336 1.5276 0.6098 0.6106 284.18 47.52 31.709 1.1319 1.5283 0.6094 0.6103

284.61 47.82 12.744 0.7202 0.9709 0.6102 0.6105 285.20 47.69 12.830 0.7205 0.9701 0.6092 0.6096

285.32 46.07 72.296 1.6817 2.2671 0.6078 0.6098 284.56 46.21 71.099 1.6780 2.2663 0.6106 0.6126 284.89 46.11 49.823 1.3974 1.8859 0.6087 0.6101 283.73 47.39 12.297 0.7015 0.9484 0.6078 0.6082 283.48 47.34 12.378 0.7042 0.9528 0.6085 0.6088

284.03 46.92 30.523 1.1034 1.4913 0.6093 0.6102

284.30 46.83 30.412 1.1000 1.4857 0.6091 0.6100

284.31 46.23 48.616 1.3846 1.8713 0.6098 0.6112

284.23 45.37 73.699 1.6857 2.2806 0.6080 0.6100 283.09 45.57 72.780 1.6861 2.2876 0.6106 0.6127

284.14 47.20 47.516 1.3813 1.8657 0.6090 0.6103 283.72 47.25 46.842 1.3696 1.8519 0.6080 0.6092 284.98 47.36 31.908 1.1336 1.5276 0.6094 0.6102 284.18 47.52 31.727 1.1319 1.5283 0.6092 0.6101

284.61 47.82 12.774 0.7202 0.9709 0.6094 0.6098

285.20 47.69 12.852 0.7205 0.9701 0.6087 0.6091 285.32 46.07 72.392 1.6817 2.2671 0.6074 0.6094 284.56 46.21 71.203 1.6780 2.2663 0.6102 0.6122

284.89 46.11 49.827 1.3974 1.8859 0.6087 0.6101 283.73 47.39 12.258 0.7015 0.9484 0.6088 0.6091 283.48 47.34 12.332 0.7042 0.9528 0.6096 0.6099

284.03 46.92 30.492 1.1034 1.4913 0.6097 0.6105 284.30 46.83 30.385 1.1000 1.4857 0.6094 0.6102

284.31 46.23 48.588 1.3846 1.8713 0.6100 0.6114

284.23 45.37 73.728 1.6857 2.2806 0.6078 0.6099 283.09 45.57 72.809 1.6861 2.2876 0.6105 0.6126

284.14 47.20 47.511 1.3813 1.8657 0.6091 0.6104

283.72 47.25 46.840 1.3696 1.8519 0.6080 0.6092

284.98 47.36 31.907 1.1336 1.5276 0.6094 0.6103 284.18 47.52 31.723 1.1319 1.5283 0.6093 0.6101 284.61 47.82 12.757 0.7202 0.9709 0.6098 0.6102 285.20 47.69 12.846 0.7205 0.9701 0.6089 0.6092 285.32 46.07 72.428 1.6817 2.2671 0.6072 0.6092 284.56 46.21 71.216 1.6780 2.2663 0.6101 0.6121 284.89 46.11 49.854 1.3974 1.8859 0.6085 0.6099 283.73 47.39 12.261 0.7015 0.9484 0.6087 0.6091 283.48 47.34 12.339 0.7042 0.9528 0.6094 0.6098

284.03 46.92 30.503 1.1034 1.4913 0.6096 0.6104 284.30 46.83 30.398 1.1000 1.4857 0.6093 0.6101

284.31 46.23 48.656 1.3846 1.8713 0.6096 0.6109

284.23 45.37 73.789 1.6857 2.2806 0.6076 0.6097

283.09 45.57 72.858 1.6861 2.2876 0.6103 0.6124

61
Table 45. Measured

bundle a

Run ID/ Pressure

Tap (MPa)

072192- 1A 3.9248

072192- 2A 3.9266

072192- 3A 3.9154

072192- 4A 3.8389

072192- 5A 3.8394

072192- 6A 3.9639

072192- 7A 3.9810

072192- 8A 3.9663

072192- 9A 3.9655

072192- 1B 3.9248

072192- 2B 3.9266

072192- 3B 3.9154

072192- 4B 3.8389

072192- 5B 3.8394

072192- 6B 3.9639

072192- 7B 3.9810

072192- 8B 3.9663

072192- 9B 3.9655

072192- 1C 3.9248

072192- 2C 3.9266

072192- 3C 3.9154

072192- 4C 3.8389

072192- 5C 3.8394

072192- 6C 3.9639

072192- 7C 3.9810

072192- 8C 3.9663

072192- 9C 3.9655

072192- 1D 3.9248

072192- 2D 3.9266

072192- 3D 3.9154

072192- 4D 3.8389

072192- 5D 3.8394

072192- 6D 3.9639

072192- 7D 3.9810

072192- 8D 3.9663

072192- 9D 3.9655

Measured and calculated quantities for 0.67 beta ratio, elbow at 17 pipe diameters, 19 tube bundle at 7D, 4 flange tap locations, 52 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

287.56 46.34 47.670 1.3696 1.8351 0.6084 0.6097

286.77 46.51 47.176 1.3598 1.8255 0.6062 0.6075 285.47 46.61 50.466 1.4070 1.8950 0.6057 0.6071

284.51 45.86 74.505 1.7040 2.3026 0.6079 0.6100

284.81 45.81 74.263 1.6971 2.2916 0.6068 0.6088

286.02 47.09 12.505 0.7084 0.9523 0.6105 0.6109

287.34 47.05 12.287 0.7016 0.9400 0.6103 0.6106

285.68 47.18 31.059 1.1169 1.5026 0.6097 0.6106 286.26 47.06 30.815 1.1125 1.4946 0.6104 0.6113 287.56 46.34 47.815 1.3696 1.8351 0.6075 0.6088 286.77 46.51 47.296 1.3598 1.8255 0.6054 0.6067 285.47 46.61 50.583 1.4070 1.8950 0.6050 0.6064

284.51 45.86 74.689 1.7040 2.3026 0.6072 0.6093

284.81 45.81 74.465 1.6971 2.2916 0.6059 0.6080 286.02 47.09 12.538 0.7084 0.9523 0.6097 0.6101 287.34 47.05 12.314 0.7016 0.9400 0.6096 0.6099 285.68 47.18 31.165 1.1169 1.5026 0.6087 0.6095 286.26 47.06 30.910 1.1125 1.4946 0.6095 0.6103

287.56 46.34 47.741 1.3696 1.8351 0.6080 0.6093 286.77 46.51 47.219 1.3598 1.8255 0.6059 0.6072 285.47 46.61 50.530 1.4070 1.8950 0.6053 0.6067

284.51 45.86 74.674 1.7040 2.3026 0.6072 0.6093

284.81 45.81 74.419 1.6971 2.2916 0.6061 0.6082 286.02 47.09 12.505 0.7084 0.9523 0.6105 0.6109

287.34 47.05 12.291 0.7016 0.9400 0.6102 0.6105 285.68 47.18 31.108 1.1169 1.5026 0.6092 0.6101 286.26 47.06 30.859 1.1125 1 .4946 0.6100 0.6108

287.56 46.34 47.786 1.3696 1.8351 0.6077 0.6090 286.77 46.51 47.301 1.3598 1.8255 0.6054 0.6067

285.47 46.61 50.585 1.4070 1.8950 0.6050 0.6064

284.51 45.86 74.676 1.7040 2.3026 0.6072 0.6093

284.81 45.81 74.473 1.6971 2.2916 0.6059 0.6080

286.02 47.09 12.572 0.7084 0.9523 0.6089 0.6093

287.34 47.05 12.347 0.7016 0.9400 0.6088 0.6091 285.68 47.18 31.159 1.1169 1.5026 0.6087 0.6096

286.26 47.06 30.912 1.1125 1.4946 0.6095 0.6103

62
Table 46. Measured

bundle a

Run ID/ Pressure

Tap (MPa)

071692- 1A 3.8880

071692- 2A 3.8882

071692- 4A 3.8878

071692- 5A 3.9471

071692- 6A 3.9477

071692- 7A 3.8147

071692- 9A 3.8156

071692- 10A 3.9044

071692- 11A 3.9035

071792- 1A 3.9569

071792- 3A 3.8493

071792- 4A 3.8502

071792- 5A 3.9703

071792- 6A 3.9701 071792- 7A 3.9056

071792- 8A 3.9052

071692- 1B 3.8880

071692- 2B 3.8882

071692- 4B 3.8878

071692- 5B 3.9471 071692- 6B 3.9477

071692- 7B 3.8147

071692- 9B 3.8156

071692- 10B 3.9044

071692- 11B 3.9035

071792- 1B 3.9569

071792- 3B 3.8493

071792- 4B 3.8502

071792- 5B 3.9703

071792- 6B 3.9701 071792- 7B 3.9056

071792- 8B 3.9052

071692- 1C 3.8880

071692- 2C 3.8882

071692- 4C 3.8878

071692- 5C 3.9471 071692- 6C 3.9477

071692- 7C 3.8147

071692- 9C 3.8156

071692- 10C 3.9044

071692- 11C 3.9035

071792- 1C 3.9569

071792- 3C 3.8493

071792- 4C 3.8502

071792- 5C 3.9703

071792- 6C 3.9701 071792- 7C 3.9056

071792- 8C 3.9052

071692- 1D 3.8880

071692- 2D 3.8882

071692- 4D 3.8878

071692- 5D 3.9471

071692- 6D 3.9477

071692- 7D 3.8147

071692- 9D 3.8156

071692- 10D 3.9044

071692- 11D 3.9035

071792- 1D 3.9569

071792- 3D 3.8493

071792- 4D 3.8502

071792- 5D 3.9703

071792- 6D 3.9701 071792- 7D 3.9056

071792- 8D 3.9052

Measured and calculated quantities for 0.73 beta ratio, elbow at 17 pipe diameters, 19 tube bundle at 12D, 4 flange tap locations, 52 run orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY 2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

282.81 46.76 35.032 1.4828 2.0108 0.6100 0.6109 283.98 46.55 35.099 1.4809 2.0025 0.6101 0.6109

282.90 46.74 34.686 1.4718 1.9955 0.6087 0.6096

284.64 47.14 13.254 0.9160 1.2357 0.6108 0.6111 284.47 47.18 13.357 0.9202 1.2419 0.6110 0.6113 282.16 45.99 48.161 1.7233 2.3429 0.6094 0.6106 284.46 45.59 47.117 1.6907 2.2855 0.6071 0.6082 282.86 46.95 22.854 1.2011 1.6284 0.6109 0.6115 283.64 46.80 23.112 1.2022 1.6266 0.6090 0.6096 284.48 47.28 22.921 1.2079 1.6300 0.6113 0.6118 284.28 46.03 47.728 1.7165 2.3205 0.6095 0.6107

284.03 46.08 47.101 1.7034 2.3041 0.6085 0.6097

283.84 47.57 12.872 0.9080 1.2270 0.6116 0.6119 284.29 47.48 13.040 0.9125 1.2318 0.6112 0.6116

282.94 46.95 35.101 1.4878 2.0165 0.6103 0.6111 284.76 46.61 35.099 1.4794 1.9962 0.6090 0.6099

282.81 46.76 35.095 1.4828 2.0108 0.6095 0.6104 283.98 46.55 35.168 1.4809 2.0025 0.6095 0.6103 282.90 46.74 34.755 1.4718 1.9955 0.6081 0.6089

284.64 47.14 13.280 0.9160 1.2357 0.6102 0.6105 284.47 47.18 13.390 0.9202 1.2419 0.6102 0.6105 282.16 45.99 48.264 1.7233 2.3429 0.6088 0.6100 284.46 45.59 47.218 1.6907 2.2855 0.6064 0.6076 282.86 46.95 22.919 1.2011 1.6284 0.6100 0.6106

283.64 46.80 23.169 1.2022 1.6266 0.6082 0.6088 284.48 47.28 23.101 1.2079 1.6300 0.6089 0.6095 284.28 46.03 48.012 1.7165 2.3205 0.6077 0.6089

284.03 46.08 47.377 1.7034 2.3041 0.6067 0.6079

283.84 47.57 13.020 0.9080 1.2270 0.6082 0.6085 284.29 47.48 13.188 0.9125 1.2318 0.6078 0.6081 282.94 46.95 35.329 1.4878 2.0165 0.6083 0.6092 284.76 46.61 35.342 1.4794 1.9962 0.6069 0.6078

282.81 46.76 35.126 1.4828 2.0108 0.6092 0.6101 283.98 46.55 35.189 1.4809 2.0025 0.6093 0.6102 282.90 46.74 34.763 1.4718 1.9955 0.6080 0.6089

284.64 47.14 13.249 0.9160 1.2357 0.6109 0.6112 284.47 47.18 13.364 0.9202 1.2419 0.6108 0.6111 282.16 45.99 48.303 1.7233 2.3429 0.6085 0.6097

284.46 45.59 47.257 1.6907 2.2855 0.6062 0.6073 282.86 46.95 22.904 1.2011 1.6284 0.6102 0.6108

283.64 46.80 23.164 1.2022 1.6266 0.6083 0.6089

284.48 47.28 23.048 1.2079 1.6300 0.6096 0.6101 284.28 46.03 47.972 1.7165 2.3205 0.6079 0.6091 284.03 46.08 47.332 1.7034 2.3041 0.6070 0.6082

283.84 47.57 12.927 0.9080 1.2270 0.6103 0.6106 284.29 47.48 13.091 0.9125 1.2318 0.6100 0.6104 282.94 46.95 35.268 1.4878 2.0165 0.6088 0.6097

284.76 46.61 35.262 1.4794 1.9962 0.6076 0.6085

282.81 46.76 35.128 1.4828 2.0108 0.6092 0.6101 283.98 46.55 35.194 1.4809 2.0025 0.6092 0.6101 282.90 46.74 34.774 1.4718 1.9955 0.6079 0.6088

284.64 47.14 13.246 0.9160 1.2357 0.6109 0.6113 284.47 47.18 13.356 0.9202 1.2419 0.6110 0.6113 282.16 45.99 48.299 1 . 7233 2.3429 0.6085 0.6097

284.46 45.59 47.249 1.6907 2.2855 0.6062 0.6074 282.86 46.95 22.894 1.2011 1.6284 0.6104 0.6110 283.64 46.80 23.143 1.2022 1.6266 0.6086 0.6092 284.48 47.28 23.005 1.2079 1.6300 0.6102 0.6107

284.28 46.03 47.934 1.7165 2.3205 0.6082 0.6094 284.03 46.08 47.309 1.7034 2.3041 0.6072 0.6083

283.84 47.57 12.909 0.9080 1.2270 0.6108 0.6111 284.29 47.48 13.077 0.9125 1.2318 0.6104 0.6107

282.94 46.95 35.269 1.4878 2.0165 0.6088 0.6097

284.76 46.61 35.259 1.4794 1.9962 0.6076 0.6085

63
Table 47. Measured and calculated quantities for 0.73 beta ratio, elbow at 17 pipe diameters, 19 tube bundle at 70, 4 flange tap locations, 52 mm orifice meter.

Run ID/ Tap

072192- 1A 072192- 2A 072192- 3A 072192- 4A 072192- 5A 072192- 6A 072192- 7A 072192- 8A

072192- IB 072192- 2B 072192- 3B 072192- 4B 072192- 5B 072192- 6B 072192- 7B 072192- 8B

072192- 1C 072192- 2C 072192- 3C 072192- 4C 072192- 5C 072192- 6C 072192- 7C 072192- 8C

072192- 1D 072192- 2D 072192- 3D 072192- 4D 072192- 5D 072192- 6D 072192- 7D 072192- 8D

Pressure

(MPa)

3.9322

3.9279

3.9761 3.9729

3.8689

3.8695 3.9603

3.9634

3.9322

3.9279

3.9761 3.9729

3.8689

3.8695 3.9603

3.9634

3.9322

3.9279

3.9761 3.9729

3.8689

3.8695 3.9603

3.9634

3.9322

3.9279

3.9761 3.9729

3.8689

3.8695 3.9603

3.9634

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) </10

6

)

287.46 46.45 35.489 1.4832 1.9877 0.6082 0.6091 286.35 46.60 34.787 1.4678 1.9724 0.6070 0.6079

285.98 47.24 12.891 0.9036 1.2147 0.6103 0.6106

286.33 47.14 13.043 0.9070 1.2183 0.6096 0.6100 286.36 45.89 48.402 1.7200 2.3129 0.6073 0.6085 285.65 46.03 47.684 1.7074 2.2999 0.6065 0.6077

286.46 46.96 22.796 1.1963 1.6065 0.6091 0.6096

286.90 46.92 23.091 1.2031 1.6138 0.6089 0.6094

287.46 46.45 35.579 1.4832 1.9877 0.6075 0.6083

286.35 46.60 34.851 1.4678 1.9724 0.6065 0.6073 285.98 47.24 12.927 0.9036 1.2147 0.6094 0.6097

286.33 47.14 13.084 0.9070 1.2183 0.6087 0.6090 286.36 45.89 48.521 1.7200 2.3129 0.6065 0.6077

285.65 46.03 47.799 1.7074 2.2999 0.6058 0.6070 286.46 46.96 22.864 1.1963 1.6065 0.6082 0.6087

286.90 46.92 23.154 1.2031 1.6138 0.6080 0.6086

287.46 46.45 35.535 1.4832 1.9877 0.6078 0.6087

286.35 46.60 34.826 1.4678 1.9724 0.6067 0.6075 285.98 47.24 12.865 0.9036 1.2147 0.6109 0.6112 286.33 47.14 13.010 0.9070 1.2183 0.6104 0.6107

286.36 45.89 48.516 1.7200 2.3129 0.6066 0.6078

285.65 46.03 47.771 1.7074 2.2999 0.6060 0.6072 286.46 46.96 22.820 1.1963 1.6065 0.6088 0.6093 286.90 46.92 23.113 1.2031 1.6138 0.6086 0.6091

287.46 46.45 35.651 1.4832 1.9877 0.6069 0.6077

286.35 46.60 34.934 1.4678 1.9724 0.6057 0.6066 285.98 47.24 12.958 0.9036 1.2147 0.6087 0.6090 286.33 47.14 13.104 0.9070 1.2183 0.6082 0.6085 286.36 45.89 48.587 1.7200 2.3129 0.6061 0.6073

285.65 46.03 47.850 1.7074 2.2999 0.6055 0.6067 286.46 46.96 22.917 1.1963 1.6065 0.6075 0.6080 286.90 46.92 23.203 1.2031 1.6138 0.6074 0.6080

Table 48. Measured and calculated quantities for 0.43 beta ratio, elbow at 17 pipe diameters, no flow conditioner, 2 flange tap locations, 104 mm orifice meter.

Run ID/ Tap

100792- 1A 100792- 3A 100792- 4A 100792- 1A 100792- 3A 100892- 1A 100892- 2A 100892- 3A 100892- 4A

100892- 5A 100892- 6A 100892- 7A 100892- 8A

100792- 1C 100792- 3C

100792- 4C

100792- 1C 100792- 3C 100892- 1C 100892- 2C 100892- 3C 100892- 4C 100892- 5C 100892- 6C 100892- 7C 100892- 8C

Pressure

(MPa)

3.6631

3.8691

3.8651 3.8551 3.9337

3.8779

.8758

.9295 .9272 .7679

.7705 .9250 3.9288

3.6631

3.8691

3.8651

3.8551 3.9337

3.8779

3.8758

9295 9272

7679

7705 9250

9288

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/106

)

288.59 43.07 48.293 1.9326 1.3123 0.5989 0.6006

289.11 45.41 9.097 0.8645 0.5849 0.6026 0.6029

289.61 45.28 8.976 0.8547 0.5776 0.6006 0.6009

288.16 45.41 28.671 1.5300 1.0377 0.6001 0.6010

289.63 46.08 14.908 1.1149 0.7528 0.6024 0.6029

289.68 45.42 28.597 1.5289 1.0329 0.6003 0.6013 289.36 45.45 28.361 1.5249 1.0310 0.6011 0.6020 289.58 46.04 14.982 1.1185 0.7553 0.6031 0.6036 289.37 46.05 14.646 1.1067 0.7478 0.6036 0.6040 288.06 44.40 46.230 1.9184 1.3028 0.5986 0.6002 289.38 44.21 45.746 1.9067 1.2907 0.5994 0.6010

289.95 45.93 8.570 0.8435 0.5692 0.6024 0.6027

289.87 45.98 8.589 0.8438 0.5694 0.6016 0.6019

288.59 43.07 48.378 1.9326 1.3123 0.5984 0.6001 289.11 45.41 9.093 0.8645 0.5849 0.6027 0.6030

289.61 45.28 8.974 0.8547 0.5776 0.6007 0.6010 288.16 45.41 28.695 1.5300 1.0377 0.5998 0.6008

289.63 46.08 14.919 1.1149 0.7528 0.6022 0.6027

289.68 45.42 28.626 1.5289 1.0329 0.6000 0.6010 289.36 45.45 28.380 1.5249 1.0310 0.6009 0.6018 289.58 46.04 14.999 1.1185 0.7553 0.6028 0.6033 289.37 46.05 14.661 1.1067 0.7478 0.6033 0.6037

288.06 44.40 46.282 1.9184 1.3028 0.5983 0.5999 289.38 44.21 45.810 1.9067 1.2907 0.5990 0.6006

289.95 45.93 8.564 0.8435 0.5692 0.6026 0.6029 289.87 45.98 8.588 0.8438 0.5694 0.6016 0.6019

64
Table 49. Measured

conditio

Run ID/ Pressure

Tap (MPa)

100692- 1A 3.7637

100692- 2A 3.7629

100692- 3A 3.9034

100692- 5A 3.8478

100692- 6A 3.8431

100692- 7A 3.6309

100692- 8A 3.6322

100792- 1A 3.7128

100792- 2A 3.7262

100792- 3A 3.8892

100792- 4A 3.8897

100792- 5A 3.9557

100792- 6A 3.9575

100792- 7A 3.8100

100792- 8A 3.8098

100692- 1C 3.7637

100692- 2C 3.7629

100692- 3C 3.9034

100692- 5C 3.8478

100692- 6C 3.8431

100692- 7C 3.6309

100692- 8C 3.6322

100792- 1C 3.7128

100792- 2C 3.7262

100792- 3C 3.8892

100792- AC 3.8897

100792- 5C 3.9557

100792- 6C 3.9575

100792- 7C 3.8100

100792- 8C 3.8098

Measured and calculated quantities for 0.55 beta ratio, elbow at 17 pipe diameters, no flow conditioner, 2 flange tap locations, 104 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) </10

6

)

288.65 44.25 12.859 1.7302 1.1734 0.6022 0.6026

288.54 44.26 12.780 1.7287 1.1727 0.6035 0.6039 289.56 45.74 3.103 0.8689 0.5870 0.6059 0.6060

288.31 45.30 8.110 1.3930 0.9446 0.6036 0.6038

288.95 45.14 8.108 1.3903 0.9413 0.6035 0.6038

286.82 42.98 19.705 2.1074 1.4378 0.6010 0.6016 287.27 42.92 19.452 2.0945 1 .4274 0.6016 0.6023 288.02 43.75 19.240 2.0998 1.4271 0.6007 0.6013

288.04 43.91 18.441 2.0579 1.3983 0.6003 0.6009

288.30 45.79 8.218 1.4089 0.9549 0.6031 0.6034 288.89 45.69 8.319 1.4157 0.9581 0.6030 0.6032

289.14 46.43 3.257 0.8962 0.6057 0.6054 0.6055 289.59 46.37 3.246 0.8950 0.6042 0.6060 0.6061 288.27 44.86 12.777 1.7372 1.1786 0.6024 0.6029 289.28 44.69 12.817 1.7362 1.1750 0.6023 0.6027

288.65 44.25 12.854 1.7302 1.1734 0.6023 0.6027

288.54 44.26 12.785 1.7287 1.1727 0.6034 0.6038 289.56 45.74 3.108 0.8689 0.5870 0.6055 0.6056

288.31 45.30 8.098 1.3930 0.9446 0.6040 0.6043

288.95 45.14 8.102 1.3903 0.9413 0.6037 0.6040 286.82 42.98 19.714 2.1074 1.4378 0.6009 0.6015 287.27 42.92 19.462 2.0945 1.4274 0.6015 0.6021 288.02 43.75 19.239 2.0998 1.4271 0.6007 0.6013 288.04 43.91 18.447 2.0579 1.3983 0.6002 0.6008 288.30 45.79 8.206 1.4089 0.9549 0.6036 0.6039 288.89 45.69 8.307 1.4157 0.9581 0.6034 0.6037

289.14 46.43 3.261 0.8962 0.6057 0.6051 0.6052 289.59 46.37 3.249 0.8950 0.6042 0.6057 0.6058 288.27 44.86 12.775 1.7372 1.1786 0.6025 0.6029 289.28 44.69 12.808 1.7362 1.1750 0.6025 0.6029

65
Table 50. Measured

conditio

Run ID/ Pressure

Tap (MPa)

100692- 2A 3.8147

100692- 3A 3.8808

100692- 4A 3.8856

100692- 5A 3.7469

100692- 6A 3.7656

100692- 7A 3.6193

100692- 8A 3.6175

100692- 9A 3.8107

100692- 10A 3.8045

100692- 11A 3.8727

100892- 1A 3.8751

100892- 2A 3.8740

100892- 3A 3.9143

100892- 4A 3.9115

100892- 5A 3.9092

100892- 6A 3.7961

100892- 7A 3.7974

100892- 8A 3.7062

100892- 9A 3.7113

100692- 2C 3.8147

100692- 3C 3.8808

100692- 4C 3.8856

100692- 5C 3.7469

100692- 6C 3.7656

100692- 7C 3.6193

100692- 8C 3.6175

100692- 9C 3.8107

100692- 10C 3.8045

100692- 11C 3.8727

100892- 1C 3.8751

100892- 2C 3.8740

100892- 3C 3.9143

100892- 4C 3.9115

100892- 5C 3.9092

100892- 6C 3.7961

100892- 7C 3.7974

100892- 8C 3.7062

100892- 9C 3.7113

Measured and calculated quantities for 0.67 beta ratio, elbow at 17 pipe diameters, no flow conditioner, 2 flange tap locations, 104 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) (/10

6

)

287.91 44.98 4.085 1.5737 1.0685 0.6038 0.6039

288.84 45.60 2.526 1.2495 0.8458 0.6055 0.6056 289.27 45.58 2.539 1.2463 0.8427 0.6026 0.6027

287.32 44.28 5.727 1.8435 1.2545 0.6021 0.6022

287.32 44.50 5.695 1.8420 1.2532 0.6018 0.6019 285.96 42.99 8.715 2.2343 1.5278 0.6003 0.6005 284.87 43.15 8.515 2.2120 1.5167 0.6001 0.6004 290.27 44.53 4.249 1.5920 1.0748 0.6019 0.6020 289.16 44.65 4.305 1.6047 1.0864 0.6020 0.6021 287.89 45.67 2.676 1.2848 0.8718 0.6045 0.6046

290.00 45.33 4.013 1.5609 1.0537 0.6019 0.6020 289.64 45.38 3.990 1.5599 1.0540 0.6029 0.6030 289.19 45.93 2.563 1.2648 0.8551 0.6063 0.6064

289.31 45.88 2.569 1.2680 0.8571 0.6075 0.6076 289.49 45.82 2.580 1.2689 0.8573 0.6070 0.6071 289.59 44.47 6.055 1.8984 1.2840 0.6016 0.6018 289.38 44.52 5.954 1.8841 1.2750 0.6018 0.6019

287.81 43.71 8.002 2.1609 1.4694 0.6008 0.6010 286.80 43.94 7.875 2.1495 1.4652 0.6009 0.6011

287.91 44.98 4.081 1.5737 1.0685 0.6041 0.6042

288.84 45.60 2.514 1.2495 0.8458 0.6070 0.6071 289.27 45.58 2.526 1.2463 0.8427 0.6041 0.6042

287.32 44.28 5.729 1.8435 1.2545 0.6020 0.6021 287.32 44.50 5.697 1.8420 1.2532 0.6017 0.6018

285.96 42.99 8.711 2.2343 1.5278 0.6004 0.6007

284.87 43.15 8.514 2.2120 1.5167 0.6002 0.6004 290.27 44.53 4.252 1.5920 1.0748 0.6017 0.6018 289.16 44.65 4.310 1.6047 1.0864 0.6016 0.6017

287.89 45.67 2.672 1.2848 0.8718 0.6049 0.6050 290.00 45.33 4.014 1.5609 1.0537 0.6018 0.6019

289.64 45.38 3.994 1.5599 1.0540 0.6026 0.6027

289.19 45.93 2.562 1.2648 0.8551 0.6065 0.6065

289.31 45.88 2.570 1.2680 0.8571 0.6074 0.6074 289.49 45.82 2.581 1.2689 0.8573 0.6069 0.6070 289.59 44.47 6.058 1.8984 1.2840 0.6014 0.6016 289.38 44.52 5.958 1.8841 1.2750 0.6016 0.6017

287.81 43.71 8.006 2.1609 1.4694 0.6007 0.6009

286.80 43.94 7.877 2.1495 1.4652 0.6008 0.6010

66
Table 51. Measured

conditio

Run ID/ Pressure

Tap (MPa)

100792- 1A 3.7049

100792- 3A 3.6479

100792- 5A 3.7900

100792- 6A 3.7940

100792- 7A 3.8016

100792- 8A 3.7496

100792- 10A 3.6895

100892- 1A 3.8967

100892- 2A 3.8891

100892- 3A 3.9252

100892- 4A 3.9199

100892- 5A 3.7540

100892- 6A 3.7547

100892- 7A 3.7978

100892- 8A 3.7965

100792- 1C 3.7049

100792- 3C 3.6479

100792- 5C 3.7900

100792- 6C 3.7940

100792- 7C 3.8016

100792- 8C 3.7496

100792- 10C 3.6895

100892- 1C 3.8967

100892- 2C 3.8891

100892- 3C 3.9252

100892- 4C 3.9199

100892- 5C 3.7540

100892- 6C 3.7547

100892- 7C 3.7978

100892- 8C 3.7965

Measured and calculated quantities for 0.73 beta ratio, elbow at 17 pipe diameters, no flow conditioner, 2 flange tap locations, 104 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) C/10

6

)

288.14 43.64 4.279 1.9822 1.3468 0.5985 0.5986

287.74 43.03 5.056 2.1370 1.4544 0.5977 0.5979 289.09 44.49 2.533 1.5469 1.0476 0.6012 0.6013 288.32 44.66 2.509 1.5399 1.0448 0.6002 0.6003 288.34 44.75 2.531 1.5474 1.0497 0.6000 0.6001 289.12 44.01 3.242 1.7395 1.1786 0.6009 0.6010 287.39 43.58 4.291 1.9769 1.3459 0.5964 0.5965 289.69 45.64 3.282 1.7795 1.2019 0.5999 0.6000

289.91 45.51 3.266 1.7664 1.1925 0.5978 0.5979

289.21 46.06 2.555 1.5811 1.0688 0.6014 0.6014 288.82 46.06 2.562 1.5764 1.0666 0.5988 0.5989 289.09 44.06 4.967 2.1445 1.4530 0.5981 0.5982 287.82 44.28 4.945 2.1389 1.4536 0.5964 0.5965 289.34 44.54 4.247 1.9945 1.3498 0.5984 0.5985 288.99 44.58 4.237 1.9893 1.3474 0.5973 0.5974

288.14 43.64 4.267 1.9822 1.3468 0.5993 0.5994

287.74 43.03 5.035 2.1370 1.4544 0.5990 0.5991 289.09 44.49 2.520 1.5469 1.0476 0.6028 0.6029 288.32 44.66 2.492 1.5399 1.0448 0.6023 0.6024

288.34 44.75 2.508 1.5474 1.0497 0.6027 0.6027

289.12 44.01 3.242 1.7395 1.1786 0.6009 0.6010 287.39 43.58 4.277 1.9769 1.3459 0.5974 0.5975 289.69 45.64 3.282 1.7795 1.2019 0.5999 0.6000

289.91 45.51 3.268 1.7664 1.1925 0.5976 0.5976

289.21 46.06 2.549 1.5811 1.0688 0.6021 0.6021 288.82 46.06 2.551 1.5764 1.0666 0.6001 0.6001 289.09 44.06 4.962 2.1445 1.4530 0.5984 0.5985 287.82 44.28 4.938 2.1389 1.4536 0.5968 0.5969

289.34 44.54 4.242 1.9945 1.3498 0.5987 0.5988 288.99 44.58 4.228 1.9893 1.3474 0.5979 0.5980

67
Table 52. Measured and calculated quantities for 0.67 beta ratio, elbow at 17 pipe diameters, 7 tube bundle at 120, 2 flange tap locations, 104 mm orifice meter.

Run ID/ Tap

120292- 1A 120292- 2A 120292- 3A

120292- 4A 120292- 5A 120292- 6A

120292- 7A 120292- 8A

120292- 9A

120292- 10A 120292- 11A 120292- 12A 120292- 13A 120292- 14A 120392- 1A 120392- 2A 120392- 3A

120392- 4A

120392- 5A 120392- 6A

120392- 7A 120392- 8A 120392- 9A

120292- 1C 120292- 2C 120292- 3C 120292- 4C • 120292- 5C 120292- 6C

120292- 7C 120292- 8C 120292- 9C

120292- 10C 120292- 11C 120292- 12C 120292- 13C 120292- 14C 120392- 1C 120392- 2C 120392- 3C

120392- 4C

120392- 5C 120392- 6C 120392- 7C 120392- 8C 120392- 9C

Table 53.

Pressure

(MPa)

3.8859

3.8845 3.8862

3.8374

3.8376

7749

7741 6935 6950

6915 8723 3.8726

.8282 .8277

.9202

.9194 .9200 .7157

.7195 .8564 3.8574

3.7690

3.7687

3.8859

3.8845 3.8862

3.8374 3.8376

3.7749

3.7741

.6935 .6950

.6915 .8723 .8726

.8282 .8277

.9202 ,9194

.9200 .7157

.7195 .8564 .8574

.7690

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) <kg/m3

) (kPa) (kg/s) (/10

6

)

286.96 45.99 2.531 1.2610 0.8574 0.6079 0.6080 287.68 45.85 2.534 1.2523 0.8500 0.6043 0.6044 287.89 45.83 2.536 1.2552 0.8515 0.6056 0.6056

286.81 45.44 4.149 1.6021 1.0904 0.6069 0.6070 287.34 45.35 4.162 1.5940 1.0835 0.6035 0.6036 287.29 44.61 5.806 1.8688 1.2714 0.6039 0.6041 286.27 44.78 5.754 1.8621 1.2700 0.6033 0.6035 286.68 43.75 7.598 2.1191 1.4452 0.6044 0.6046

286.33 43.83 7.496 2.0994 1.4330 0.6023 0.6025 286.74 43.72 7.475 2.0962 1.4294 0.6030 0.6033

287.94 45.65 2.636 1.2809 0.8691 0.6073 0.6074 287.09 45.81 2.670 1.2895 0.8767 0.6065 0.6066

286.58 45.37 4.081 1.5834 1.0784 0.6052 0.6054 286.88 45.31 4.078 1.5811 1.0760 0.6049 0.6051 286.97 46.40 2.436 1.2443 0.8457 0.6088 0.6088

287.53 46.29 2.468 1.2500 0.8484 0.6083 0.6084

287.15 46.36 2.470 1.2488 0.8484 0.6070 0.6070 285.60 44.20 7.454 2.1101 1.4425 0.6046 0.6048

286.18 44.14 7.365 2.0917 1.4278 0.6033 0.6035

286.61 45.70 3.962 1.5668 1.0667 0.6056 0.6057 287.66 45.53 4.022 1.5721 1.0675 0.6042 0.6043 286.64 44.65 5.971 1.8978 1.2932 0.6045 0.6046

287.21 44.56 5.967 1.8957 1.2901 0.6046 0.6048

286.96 45.99 2.535 1.2610 0.8574 0.6074 0.6075 287.68 45.85 2.541 1.2523 0.8500 0.6034 0.6035 287.89 45.83 2.543 1.2552 0.8515 0.6048 0.6048

286.81 45.44 4.174 1.6021 1.0904 0.6050 0.6051 287.34 45.35 4.186 1.5940 1.0835 0.6017 0.6018 287.29 44.61 5.834 1.8688 1.2714 0.6024 0.6026 286.27 44.78 5.785 1.8621 1.2700 0.6017 0.6019 286.68 43.75 7.638 2.1191 1.4452 0.6028 0.6031 286.33 43.83 7.529 2.0994 1 .4330 0.6010 0.6012 286.74 43.72 7.506 2.0962 1.4294 0.6018 0.6020 287.94 45.65 2.648 1.2809 0.8691 0.6060 0.6060 287.09 45.81 2.679 1.2895 0.8767 0.6054 0.6055 286.58 45.37 4.109 1.5834 1.0784 0.6032 0.6033 286.88 45.31 4.108 1.5811 1.0760 0.6027 0.6028 286.97 46.40 2.439 1.2443 0.8457 0.6084 0.6085 287.53 46.29 2.472 1.2500 0.8484 0.6079 0.6079

287.15 46.36 2.473 1.2488 0.8484 0.6066 0.6066

285.60 44.20 7.477 2.1101 1.4425 0.6036 0.6038 286.18 44.14 7.394 2.0917 1.4278 0.6021 0.6023

286.61 45.70 3.984 1.5668 1.0667 0.6040 0.6041 287.66 45.53 4.035 1.5721 1.0675 0.6033 0.6034 286.64 44.65 5.989 1.8978 1.2932 0.6035 0.6037 3.7687 287.21 44.56 5.983 1.8957 1.2901 0.6038 0.6040

Measured and calculated quantities for 0.67 beta ratio, elbow at 17 pipe diameters, 7 bundle at 7D, 2 flange tap locations, 104 mm orifice meter.

tube

Run ID/ Tap

120192- 1A 120192- 2A 120192- 3A 120192- 4A

120192- 5A 120192- 6A

120192- 7A 120192- 8A 120192- 9A

120192- 1C 120192- 2C 120192- 3C 120192- 4C 120192- 5C 120192- 6C 120192- 7C

120192- 8C 120192- 9C

Pressure

(MPa)

7516

7610 9528

9369

9303 8206 3.8212

3.7308

3.7315

3.7516

3.7610

3.9528

3.9369

3.9303 3.8206

3.8212

3.7308

3.7315

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) (/106

)

289.25 44.01 4.019 1.5475 1.0481 0.6051 0.6053

288.81 44.19 4.032 1.5449 1.0473 0.6019 0.6021 289.38 46.35 2.598 1.2827 0.8664 0.6080 0.6081 289.81 46.09 2.692 1.3048 0.8806 0.6092 0.6093 289.09 46.14 2.678 1.3020 0.8803 0.6093 0.6093 289.23 44.82 5.900 1.8876 1.2775 0.6036 0.6038

288.90 44.89 5.845 1.8831 1.2754 0.6046 0.6047

287.72 44.02 7.821 2.1532 1.4641 0.6034 0.6037

288.62 43.87 7.803 2.1479 1.4573 0.6036 0.6039

289.25 44.01 4.030 1.5475 1.0481 0.6043 0.6045

288.81 44.19 4.034 1.5449 1.0473 0.6017 0.6018

289.38 46.35 2.602 1.2827 0.8664 0.6075 0.6076

289.81 46.09 2.700 1.3048 0.8806 0.6083 0.6084 289.09 46.14 2.688 1.3020 0.8803 0.6081 0.6081 289.23 44.82 5.902 1.8876 1.2775 0.6035 0.6037

288.90 44.89 5.849 1.8831 1.2754 0.6043 0.6045 287.72 44.02 7.837 2.1532 1.4641 0.6028 0.6031 288.62 43.87 7.810 2.1479 1.4573 0.6034 0.6036 68
Table 54. Measured and calculated quantities for 0.73 beta ratio, elbow at 17 pipe diameters, 7 tube bundle at 12D, 2 flange tap locations, 104 mm orifice meter.

Run 10/ Tap

120292- 1A 120292- 3A

120292- 5A 120292- 7A 120392- 1A 120392- 2A 120392- 3A 120392- 4A

120392- 5A 120392- 6A 120392- 7A 120392- 8A 120392- 9A

120292- 1C 120292- 3C 120292- 5C 120292- 7C 120392- 1C 120392- 2C 120392- 3C 120392- 4C 120392- 5C 120392- 6C 120392- 7C 120392- 8C 120392- 9C

Pressure

(MPa)

3.8384

3.7505 3.8564

3.6956

3.8055

3.8051 3.6843

3.6847

3.8121

3.8131 3.7308

3.7303 3.7327

3.8384

.7505 .8564 .6956

.8055

.8051 .6843 .6847 3.8121

3.8131 3.7308

3.7303 3.7327

Temp. Density Dif Press Flow Rate Pipe Re No. C CY 2 (K) (kg/m3

) (kPa) (kg/s) </10

6

)

289.42 45.00 3.141 1.7392 1.1762 0.6036 0.6037

289.12 44.02 4.294 2.0032 1.3572 0.6012 0.6013 288.92 45.30 2.488 1.5534 1.0516 0.6038 0.6038 286.56 43.79 4.900 2.1414 1 .4608 0.6032 0.6033 287.29 44.98 3.199 1.7568 1.1947 0.6044 0.6045 286.72 45.07 3.180 1.7521 1.1932 0.6039 0.6040 286.06 43.74 4.896 2.1364 1.4594 0.6024 0.6025 286.22 43.72 4.826 2.1184 1.4465 0.6018 0.6019

287.12 45.09 2.743 1.6306 1.1093 0.6051 0.6052

286.61 45.18 2.754 1.6315 1.1113 0.6036 0.6036 285.58 44.38 4.078 1.9648 1.3430 0.6026 0.6027

286.83 44.16 4.082 1.9563 1.3331 0.6012 0.6013 285.53 44.41 4.039 1.9509 1.3336 0.6011 0.6012

289.42 45.00 3.169 1.7392 1.1762 0.6010 0.6010

289.12 44.02 4.314 2.0032 1.3572 0.5998 0.5999 288.92 45.30 2.506 1.5534 1.0516 0.6016 0.6017

286.56 43.79 4.956 2.1414 1.4608 0.5997 0.5998

287.29 44.98 3.232 1.7568 1.1947 0.6013 0.6014 286.72 45.07 3.208 1.7521 1.1932 0.6013 0.6013 286.06 43.74 4.934 2.1364 1.4594 0.6000 0.6001 286.22 43.72 4.864 2.1184 1.4465 0.5994 0.5995 287.12 45.09 2.755 1.6306 1.1093 0.6038 0.6039

286.61 45.18 2.771 1.6315 1.1113 0.6016 0.6017

285.58 44.38 4.109 1.9648 1.3430 0.6004 0.6005 286.83 44.16 4.113 1.9563 1.3331 0.5990 0.5991 285.53 44.41 4.070 1.9509 1.3336 0.5988 0.5989

Table 55. Measured and calculated quantities for 0.73 beta ratio, elbow at 17 pipe diameters, 7 tube bundle at 7D, 2 flange tap locations, 104 mm orifice meter.

Run ID/ Tap

120192- 1A 120192- 2A 120192- 3A

120192- 4A 120192- 5A 120192- 6A 120192- 7A 120192- 8A

120192- 1C 120192- 2C 120192- 3C 120192- 4C

120192- 5C 120192- 6C 120192- 7C 120192- 8C

Pressure

(MPa)

3.7793

3.7783 3.8669

3.8682 3.8236

3.8241 3.7130

3.7189

3.7793

3.7783

3.8669

3.8682

3.8236

3.8241 3.7130

3.7189

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

289.20 44.34 4.097 1.9642 1.3300 0.6013 0.6014 289.00 44.36 4.101 1.9654 1.3315 0.6012 0.6013

289.83 45.26 2.520 1.5657 1.0575 0.6050 0.6050 288.28 45.55 2.509 1.5629 1.0595 0.6032 0.6033

287.90 45.09 3.305 1.7850 1.2118 0.6034 0.6035 288.07 45.06 3.278 1.7792 1.2074 0.6040 0.6041 287.68 43.82 5.062 2.1646 1 .4723 0.5997 0.5998

288.22 43.79 4.990 2.1558 1.4643 0.6017 0.6018

289.20 44.34 4.115 1.9642 1.3300 0.6000 0.6001 289.00 44.36 4.122 1.9654 1.3315 0.5996 0.5997

289.83 45.26 2.530 1.5657 1.0575 0.6037 0.6038

288.28 45.55 2.520 1.5629 1.0595 0.6020 0.6021 287.90 45.09 3.327 1.7850 1.2118 0.6014 0.6015 288.07 45.06 3.299 1.7792 1.2074 0.6021 0.6022 287.68 43.82 5.080 2.1646 1.4723 0.5987 0.5988

288.22 43.79 5.011 2.1558 1.4643 0.6005 0.6006

69
Table 56. Measured

2 flange

Run ID/ Pressure

Tap (MPa)

122192- 1A 3.9626

122192- 2A 3.9657

122192- 4A 3.9768

122192- 5A 3.8893

122192- 6A 3.8841

122192- 7A 3.7542

122192- 8A 3.7535

122292- 1A 3.7598

122292- 2A 3.7632

122292- 3A 3.8490

122292- 4A 3.8498

122292- 6A 3.9417

122292- 1A 4.0348

122292- 2A 4.0372

122292- 3A 3.9317

122292- 4A 3.9303

122292- 5A 3.7984

122292- 6A 3.7931

122292- 7A 4.0306

122392- 1A 3.9519

122392- 2A 3.9483

122392- 3A 3.8619

122392- 4A 3.8620

122392- 5A 3.7329

122392- 6A 3.7285

122392- 7A 3.9612

122392- 8A 3.9625

122192- 1C 3.9626

122192- 2C 3.9657

122192- 4C 3.9768

122192- 5C 3.8893

122192- 6C 3.8841

122192- 7C 3.7542

122192- 8C 3.7535

122292- 1C 3.7598

122292- 2C 3.7632

122292- 3C 3.8490

122292- 4C 3.8498

122292- 6C 3.9417

122292- 1C 4.0348

122292- 2C 4.0372

122292- 3C 3.9317

122292- 4C 3.9303

122292- 5C 3.7984

122292- 6C 3.7931

122292- 7C 4.0306

122392- 1C 3.9519

122392- 2C 3.9483

122392- 3C 3.8619

122392- 4C 3.8620

122392- 5C 3.7329

122392- 6C 3.7285

122392- 7C 3.9612

122392- 8C 3.9625

Measured and calculated quantities for 0.37 beta ratio, oversize Sprenkle at 44 pipe diameters,

2 flange tap locations, 154 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No C CY2 (K) (kg/m3

) (kPa) (kg/s) (/106

)

287.71 46.77 7.798 1.3250 0.6035 0.6018 0.6020 287.64 46.81 7.757 1.3219 0.6022 0.6017 0.6020 288.22 46.84 3.442 0.8820 0.4011 0.6027 0.6029

286.86 46.05 16.142 1.8804 0.8590 0.5980 0.5985 287.24 45.92 16.113 1.8769 0.8566 0.5982 0.5988

286.73 44.46 26.524 2.3673 1.0835 0.5972 0.5982 286.28 44.53 26.395 2.3630 1.0827 0.5972 0.5981 286.95 44.49 16.545 1.8637 0.8525 0.5955 0.5960 286.82 44.56 16.584 1.8667 0.8541 0.5953 0.5959

287.59 45.44 7.818 1.2996 0.5929 0.5980 0.5983 288.06 45.37 7.869 1.3023 0.5935 0.5978 0.5981 288.37 46.40 4.117 0.9574 0.4355 0.6011 0.6012 288.82 47.42 7.364 1.2917 0.5863 0.5996 0.5998

288.73 47.46 7.329 1.2924 0.5867 0.6010 0.6013 288.02 46.34 16.996 1.9363 0.8816 0.5981 0.5987

288.66 46.21 17.017 1.9291 0.8770 0.5963 0.5969

288.33 44.71 25.845 2.3379 1.0653 0.5959 0.5967

287.32 44.82 25.606 2.3325 1.0655 0.5965 0.5974 289.19 47.30 3.694 0.9180 0.4163 0.6025 0.6026 289.09 46.39 7.721 1.3058 0.5928 0.5984 0.5987

288.92 46.38 7.676 1.3046 0.5925 0.5996 0.5999 288.67 45.41 16.194 1.8662 0.8490 0.5966 0.5971 288.72 45.40 16.121 1.8612 0.8466 0.5964 0.5970 287.62 44.06 26.925 2.3718 1.0835 0.5966 0.5975 287.95 43.95 27.080 2.3747 1.0840 0.5963 0.5973

289.25 46.47 4.620 1.0150 0.4606 0.6009 0.6010 289.18 46.50 4.439 0.9934 0.4509 0.5998 0.5999

287.71 46.77 7.801 1.3250 0.6035 0.6017 0.6019

287.64 46.81 7.758 1.3219 0.6022 0.6017 0.6019

288.22 46.84 3.469 0.8820 0.4011 0.6004 0.6005 286.86 46.05 16.131 1.8804 0.8590 0.5982 0.5987

287.24 45.92 16.106 1.8769 0.8566 0.5983 0.5989

286.73 44.46 26.535 2.3673 1.0835 0.5971 0.5980 286.28 44.53 26.374 2.3630 1.0827 0.5974 0.5983

286.95 44.49 16.529 1.8637 0.8525 0.5958 0.5963 286.82 44.56 16.570 1.8667 0.8541 0.5956 0.5961 287.59 45.44 7.808 1.2996 0.5929 0.5984 0.5986 288.06 45.37 7.865 1.3023 0.5935 0.5980 0.5982 288.37 46.40 4.123 0.9574 0.4355 0.6006 0.6007

288.82 47.42 7.357 1.2917 0.5863 0.5998 0.6001 288.73 47.46 7.327 1.2924 0.5867 0.6011 0.6014 288.02 46.34 16.983 1.9363 0.8816 0.5983 0.5989 288.66 46.21 17.003 1.9291 0.8770 0.5966 0.5971 288.33 44.71 25.816 2.3379 1.0653 0.5962 0.5971 287.32 44.82 25.586 2.3325 1.0655 0.5968 0.5976 289.19 47.30 3.709 0.9180 0.4163 0.6013 0.6014 289.09 46.39 7.711 1.3058 0.5928 0.5988 0.5991 288.92 46.38 7.664 1.3046 0.5925 0.6001 0.6004 288.67 45.41 16.196 1.8662 0.8490 0.5966 0.5971 288.72 45.40 16.114 1.8612 0.8466 0.5965 0.5971 287.62 44.06 26.917 2.3718 1.0835 0.5967 0.5976

287.95 43.95 27.081 2.3747 1.0840 0.5963 0.5973

289.25 46.47 4.615 1.0150 0.4606 0.6012 0.6014 289.18 46.50 4.430 0.9934 0.4509 0.6004 0.6006

70
Table 57. Measured

2 flange

Run ID/ Pressure

Tap (MPa)

122292- 1A 3.8322

122292- 2A 3.8264

122292- 3A 3.7883

122292- 4A 3.7854

122292- 5A 3.8686

122292- 6A 3.8678

122292- 7A 3.9155

122292- 8A 3.9144

122392- 1A 3.8288

122392- 2A 3.8251

122392- 3A 3.7645

122392- 4A 3.7625

122392- 5A 3.8493

122392- 6A 3.8489

122392- 7A 3.7296

122392- 8A 3.7271

122392- 9A 3.8349

122392- 10A 3.8160

122292- 1C 3.8322

122292- 2C 3.8264

122292- 3C 3.7883

122292- 4C 3.7854

122292- 5C 3.8686

122292- 6C 3.8678

122292- 7C 3.9155

122292- 8C 3.9144

122392- 1C 3.8288

122392- 2C 3.8251

122392- 3C 3.7645

122392- 4C 3.7625

122392- 5C 3.8493

122392- 6C 3.8489

122392- 7C 3.7296

122392- 8C 3.7271

122392- 9C 3.8349

122392- 10C 3.8160

Measured and calculated quantities for 0.57 beta ratio, oversize Sprenkle at 44 pipe diameters,

2 flange tap locations, 154 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2

(K) (kg/m3

) (kPa) (kg/s) </10

6

)

288.53 45.08 3.710 2.2318 1.0161 0.6028 0.6030

288.22 45.06 3.688 2.2256 1.0140 0.6031 0.6032 287.99 44.65 4.292 2.3816 1.0863 0.6010 0.6011 287.72 44.66 4.281 2.3818 1.0871 0.6018 0.6019

287.51 45.69 3.039 2.0346 0.9282 0.6032 0.6033 287.79 45.63 3.050 2.0339 0.9272 0.6024 0.6025 287.83 46.19 2.453 1.8398 0.8382 0.6039 0.6040

287.84 46.17 2.462 1.8416 0.8390 0.6035 0.6036 288.56 45.03 2.966 1.9951 0.9083 0.6031 0.6032 287.77 45.13 2.942 1.9926 0.9089 0.6041 0.6042

288.21 44.33 3.739 2.2194 1.0120 0.6022 0.6023 288.12 44.32 3.733 2.2144 1.0100 0.6014 0.6015 288.03 45.37 2.574 1.8629 0.8490 0.6022 0.6023 288.77 45.23 2.588 1.8621 0.8471 0.6012 0.6013

287.71 44.00 4.216 2.3464 1.0717 0.6018 0.6019

287.74 43.97 4.208 2.3438 1.0704 0.6019 0.6021 288.04 45.19 2.635 1.8805 0.8571 0.6020 0.6021

288.01 44.98 2.891 1.9640 0.8954 0.6018 0.6019

288.53 45.08 3.730 2.2318 1.0161 0.6013 0.6014

288.22 45.06 3.705 2.2256 1.0140 0.6017 0.6019 287.99 44.65 4.304 2.3816 1.0863 0.6002 0.6003 287.72 44.66 4.291 2.3818 1.0871 0.6010 0.6012

287.51 45.69 3.061 2.0346 0.9282 0.6011 0.6012 287.79 45.63 3.074 2.0339 0.9272 0.6000 0.6001 287.83 46.19 2.472 1.8398 0.8382 0.6015 0.6016

287.84 46.17 2.470 1.8416 0.8390 0.6025 0.6026

288.56 45.03 2.967 1.9951 0.9083 0.6030 0.6031 287.77 45.13 2.947 1.9926 0.9089 0.6036 0.6037

288.21 44.33 3.741 2.2194 1.0120 0.6020 0.6021 288.12 44.32 3.734 2.2144 1.0100 0.6013 0.6014

288.03 45.37 2.578 1.8629 0.8490 0.6018 0.6019 288.77 45.23 2.589 1.8621 0.8471 0.6011 0.6012

287.71 44.00 4.219 2.3464 1.0717 0.6016 0.6018

287.74 43.97 4.212 2.3438 1.0704 0.6016 0.6018

288.04 45.19 2.638 1.8805 0.8571 0.6017 0.6018

288.01 44.98 2.897 1.9640 0.8954 0.6011 0.6012

71
Table 58. Measured and calculated quantities for 0.37 beta ratio, tee at 18 pipe diameters, 19 tube bundle at 12D, 2 flange tap locations, 154 mm orifice meter.

Run ID/ Tap

010893- 1A 010893- 2A 010893- 3

A

010893- 4 010893- 5 010893- 6A 010893- 7A 010893- 8A 011193- 1A 011193- 2A 011193- 3A

011193- 4A 011193- 5A

011193- 6A 011193- 7A 011193- 8A

010893- 1C 010893- 2C 010893- 3C 010893- 4C

010893- 5C 010893- 6C 010893- 7C 010893- 8C 011193- 1C 011193- 2C 011193- 3C 011193- 4C 011193- 5C 011193- 6C 011193- 7C 011193- 8C

Pressure

(MPa)

4.0576

4.0554 3.7757

3.7549

3.9832 3.9876

3.8948

3.8920

3.8764

3.8770

9639

9620

7230

7208

9662

9704

4.0576

4.0554 3.7757

3.7549

3.9832 3.9876

3.8948

3.8920

3.8764

3.8770 3.9639

3.9620

3.7230 3.7208

3.9662

3.9704

Temp. Density Dif Press Flow Rate Pipe Re No. C CY2 (K) (kg/m3

) (kPa) (kg/s) </10

6

)

287.74 47.89 7.643 1.3234 0.6020 0.6000 0.6003 287.86 47.84 7.663 1.3219 0.6012 0.5989 0.5991 286.55 44.75 26.115 2.3536 1.0774 0.5965 0.5974

287.04 44.42 26.635 2.3643 1.0812 0.5955 0.5964 287.57 47.03 4.870 1.0477 0.4772 0.6006 0.6007

287.79 47.05 4.778 1.0377 0.4724 0.6005 0.6006

286.83 46.12 16.181 1.8828 0.8601 0.5975 0.5981 286.95 46.06 16.088 1.8760 0.8567 0.5974 0.5980 286.87 45.89 16.193 1.8811 0.8594 0.5982 0.5988

287.05 45.87 16.212 1.8793 0.8582 0.5975 0.5980 287.50 46.82 7.603 1.3022 0.5934 0.5987 0.5989 287.52 46.79 7.596 1.3065 0.5953 0.6011 0.6013 286.46 44.14 27.223 2.3885 1.0943 0.5970 0.5979

286.12 44.17 27.074 2.3816 1.0920 0.5967 0.5976

288.08 46.74 4.784 1.0327 0.4699 0.5991 0.5992

288.02 46.80 4.810 1.0412 0.4738 0.6020 0.6022

287.74 47.89 7.626 1.3234 0.6020 0.6007 0.6009

287.86 47.84 7.655 1.3219 0.6012 0.5992 0.5994

286.55 44.75 26.125 2.3536 1.0774 0.5964 0.5973

287.04 44.42 26.634 2.3643 1.0812 0.5955 0.5964 287.57 47.03 4.872 1.0477 0.4772 0.6005 0.6006

287.79 47.05 4.783 1.0377 0.4724 0.6002 0.6003 286.83 46.12 16.187 1.8828 0.8601 0.5974 0.5979

286.95 46.06 16.091 1.8760 0.8567 0.5974 0.5979 286.87 45.89 16.193 1.8811 0.8594 0.5982 0.5988

287.05 45.87 16.202 1.8793 0.8582 0.5976 0.5982 287.50 46.82 7.590 1.3022 0.5934 0.5992 0.5994 287.52 46.79 7.589 1.3065 0.5953 0.6013 0.6016 286.46 44.14 27.221 2.3885 1.0943 0.5970 0.5979

286.12 44.17 27.069 2.3816 1.0920 0.5967 0.5977

288.08 46.74 4.788 1.0327 0.4699 0.5988 0.5990 288.02 46.80 4.816 1.0412 0.4738 0.6016 0.6018

Table 59. Measured and calculated quantities for 0.37 beta ratio, tee at 18 pipe diameters, 19 tube bundle at 7D, 2 flange tap locations, 154 mm orifice meter.

Run ID/ Tap

010793- 1A 010793- 2A 010793- 3A 010793- 4A

010793- 5A 010793- 6A

010793- 7A 010793- 8A

010793- 1C 010793- 2C 010793- 3C 010793- 4C 010793- 5C 010793- 6C 010793- 7C 010793- 8C

Pressure

(MPa)

3.8665

3.8671 3.9529

3.9470 3.7059

3.7032

3.9406

3.9452

3.8665

3.8671 3.9529

3.9470

3.7059

3.7032

3.9406

3.9452

Temp. Density Dif Press Flow Rate Pipe Re No. C CY

2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

287.02 45.75 16.049 1.8658 0.8522 0.5970 0.5975 286.75 45.80 16.011 1.8670 0.8533 0.5977 0.5982 287.47 46.69 7.788 1.3164 0.6000 0.5987 0.5990

287.32 46.65 7.737 1.3101 0.5974 0.5981 0.5984 287.00 43.84 27.246 2.3792 1.0888 0.5964 0.5973

286.22 43.94 27.078 2.3757 1.0893 0.5967 0.5976

287.44 46.55 5.035 1.0570 0.4818 0.5990 0.5991 287.44 46.61 5.223 1.0796 0.4921 0.6003 0.6005

287.02 45.75 16.036 1.8658 0.8522 0.5972 0.5977

286.75 45.80 16.003 1.8670 0.8533 0.5979 0.5984 287.47 46.69 7.788 1.3164 0.6000 0.5987 0.5990

287.32 46.65 7.741 1.3101 0.5974 0.5980 0.5982 287.00 43.84 27.231 2.3792 1.0888 0.5965 0.5975 286.22 43.94 27.072 2.3757 1.0893 0.5967 0.5977

287.44 46.55 5.048 1.0570 0.4818 0.5981 0.5983

287.44 46.61 5.235 1.0796 0.4921 0.5996 0.5998

72
Table 60. Measured

bundle a

Run ID/ Pressure

Tap (MPa)

010893- 1A 3.8925

010893- 2A 3.8844

010893- 3A 3.8443

010893- 4A 3.8430

010893- 5A 3.7861 010893- 6A 3.7842

010893- 7A 3.7194

010893- 8A 3.7276

011193- 1A 3.9344

011193- 2A 3.9129

011193- 3A 3.9774

011193- 4A 3.9882

011193- 5A 3.7947

011193- 6A 3.7865

011193- 7A 3.7449

011193- 8A 3.7396

010893- 1C 3.8925

010893- 2C 3.8844

010893- 3C 3.8443

010893- 4C 3.8430

010893- 5C 3.7861

010893- 6C 3.7842

010893- 7C 3.7194

010893- 8C 3.7276

011193- 1C 3.9344

011193- 2C 3.9129

011193- 3C 3.9774

011193- 4C 3.9882

011193- 5C 3.7947

011193- 6C 3.7865

011193- 7C 3.7449

011193- 8C 3.7396

Table 61. Measured

bundle a

Run ID/ Pressure

Tap (MPa)

010793- 1A 3.7837

010793- 2A 3.7859

010793- 3A 3.9002

010793- 4A 3.8846

010793- 5A 3.8869

010793- 6A 3.8383

010793- 7A 3.8376

010793- 8A 3.7412

010793- 9A 3.7322

010793- 1C 3.7837

010793- 2C 3.7859

010793- 3C 3.9002

010793- 4C 3.8846

010793- 5C 3.8869

010793- 6C 3.8383

010793- 7C 3.8376

010793- 8C 3.7412

010793- 9C 3.7322

Measured and calculated quantities for 0.57 beta ratio, tee at 18 pipe diameters, 19 tube bundle at 12D, 2 flange tap locations, 154 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY 2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

286.86 46.08 2.623 1.8943 0.8653 0.6020 0.6021 286.97 45.97 2.625 1.8952 0.8655 0.6028 0.6029

286.74 45.53 3.090 2.0394 0.9324 0.6006 0.6007

287.17 45.44 3.092 2.0446 0.9338 0.6027 0.6028

286.67 44.85 3.779 2.2436 1.0266 0.6021 0.6022

286.63 44.84 3.767 2.2378 1.0241 0.6016 0.6017

287.02 44.00 4.555 2.4372 1.1151 0.6014 0.6015 286.36 44.21 4.540 2.4399 1.1180 0.6017 0.6018

287.16 46.53 3.048 2.0528 0.9365 0.6022 0.6023

286.90 46.32 3.044 2.0500 0.9360 0.6031 0.6032 286.86 47.09 2.460 1.8601 0.8488 0.6038 0.6039

286.96 47.20 2.453 1.8587 0.8478 0.6036 0.6036

286.92 44.91 3.882 2.2810 1.0430 0.6035 0.6036

286.81 44.83 3.882 2.2741 1.0402 0.6023 0.6024

286.15 44.45 4.425 2.4201 1.1093 0.6028 0.6030 286.62 44.31 4.422 2.4137 1.1052 0.6024 0.6026

286.86 46.08 2.626 1.8943 0.8653 0.6016 0.6017 286.97 45.97 2.629 1.8952 0.8655 0.6023 0.6023 286.74 45.53 3.096 2.0394 0.9324 0.6001 0.6002 287.17 45.44 3.097 2.0446 0.9338 0.6022 0.6023 286.67 44.85 3.781 2.2436 1.0266 0.6019 0.6020

286.63 44.84 3.772 2.2378 1.0241 0.6011 0.6012 287.02 44.00 4.568 2.4372 1.1151 0.6005 0.6007

286.36 44.21 4.549 2.4399 1.1180 0.6010 0.6012 287.16 46.53 3.054 2.0528 0.9365 0.6016 0.6017

286.90 46.32 3.053 2.0500 0.9360 0.6023 0.6024 286.86 47.09 2.465 1.8601 0.8488 0.6032 0.6033 286.96 47.20 2.460 1.8587 0.8478 0.6027 0.6028

286.92 44.91 3.892 2.2810 1.0430 0.6027 0.6028

286.81 44.83 3.892 2.2741 1.0402 0.6014 0.6016

286.15 44.45 4.434 2.4201 1.1093 0.6022 0.6024

286.62 44.31 4.432 2.4137 1.1052 0.6018 0.6019

Measured and calculated quantities for 0.57 beta ratio, tee at 18 pipe diameters, 19 tube bundle at 7D, 2 flange tap locations, 154 mm orifice meter.

Temp. Density Dif Press Flow Rate Pipe Re No. C CY

2 (K) (kg/m3

) (kPa) (kg/s) (/10

6

)

286.86 44.79 3.810 2.2407 1.0248 0.5993 0.5994 287.03 44.79 3.834 2.2424 1.0252 0.5978 0.5979

286.85 46.18 2.528 1.8513 0.8456 0.5986 0.5987

286.86 45.99 2.524 1.8512 0.8457 0.6003 0.6003

287.01 45.99 2.542 1.8612 0.8499 0.6014 0.6015 286.98 45.42 3.122 2.0467 0.9352 0.6004 0.6005 287.19 45.37 3.132 2.0422 0.9327 0.5985 0.5986 287.08 44.25 4.407 2.3911 1.0936 0.5981 0.5983 286.26 44.28 4.381 2.3857 1.0935 0.5984 0.5985

286.86 44.79 3.810 2.2407 1.0248 0.5993 0.5994 287.03 44.79 3.832 2.2424 1.0252 0.5980 0.5981 286.85 46.18 2.529 1.8513 0.8456 0.5985 0.5986 286.86 45.99 2.523 1.8512 0.8457 0.6004 0.6004

287.01 45.99 2.542 1.8612 0.8499 0.6014 0.6015 286.98 45.42 3.123 2.0467 0.9352 0.6003 0.6004 287.19 45.37 3.130 2.0422 0.9327 0.5987 0.5988

287.08 44.25 4.405 2.3911 1.0936 0.5983 0.5985 286.26 44.28 4.378 2.3857 1.0935 0.5986 0.5987

*U.S. GOVERNMENT PRINTING OFFICE:1994-573-013/00032

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