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ASME STP TS 084 2018

$98.04

ASME STP TS 084 2018 Orifice Flow Coefficient Equation Comparison

Published By Publication Date Number of Pages
ASME 2018 93
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Orifice Flow Coefficient Equation Comparison. Publisher: ASME Standards Technology LLC Publish Date: 2018 Pages: 93 Language: English ISBN: 9780791871782

PDF Catalog

PDF Pages PDF Title
4 TABLE OF CONTENTS
10 FOREWORD
11 EXECUTIVE SUMMARY
13 ABBREVIATIONS AND ACRONYMS
14 1 DATABASE
1.1 Flange Tap Database
15 Tables
Table 1-1: Contribution of Each Testing Facility to the Flange Tap Database
Table 1-2: Fluids in the Flange Tap Database
16 Table 1-3: Location of Meter-Run Testing
17 1.2 Meter-Run Orifice Plate Combinations
Table 1-4: 2-inch Meter-Run Plate Combinations
18 Table 1-5: 3-inch Meter-Run Plate Combination
19 Table 1-6: 4-inch Meter-Run Plate Combinations
20 Table 1-7: 6-inch Meter-Run Plate Combinations
21 Table 1-8: 10-inch Meter-Run Plat Combinations
Table 1-9: 24-inch Meter-Run Plate Combinations
22 1.3 Distribution of Beta Ratios
Figures
Figure 1-1: Beta Ratio Distribution of all Data
Figure 1-2: 2-inch Line Size Distribution of Beta Ratio
23 Figure 1-3: 3-inch Line Size Distribution of Beta Ratio
Figure 1-4: 4-inch Line Size Distribution of Beta Ratio
24 Figure 1-5: 6-inch Line Size Distribution of Beta Ratio
Figure 1-6: 10-inch Line Size Distribution of Beta Ratio
25 1.4 Corner Tap Database
Figure 1-7: 24-inch Line Size Distribution of Beta Ratio
26 Table 1-10: Contribution of Each Testing Facility to the Corner Tap Database
Table 1-11: Fluids in the Corner Tap Database
27 1.5 Distribution of Beta Ratios
Figure 1-8: Beta Ratio Distribution of all Data
Figure 1-9: 4-inch Line Size Distribution of Beta Ratio
28 Figure 1-10: 10-inch Line Size Distribution of Beta Ratio
29 2 EQUATIONS
2.1 Flange Tap Equations
2.1.1 ASME MFC-3M 2004 (ISO-RHG)
30 2.1.2 ISO 5167 1991 (Stoltz)
31 2.1.3 AGA Report Number 3 1990 (AGA-RHG)
32 2.1.4 PTC 19.5 Appendix 1 (Keyser)
2.1.5 Comparison of Equations
33 Figure 2-6: Flange Tap Equations for 2-inch Line Size 0.10 Beta Ratio
Figure 2-7: Flange Tap Equations for 2-inch Line Size 0.40 Beta Ratio
34 Figure 2-8: Flange Tap Equations for 2-inch Line Size 0.70 Beta Ratio
Figure 2-9: Flange Tap Equations for 2-inch Line Size 0.45 Beta Ratio
35 Figure 2-10: Flange Tap Equations for 3-inch Line Size 0.45 Beta Ratio
Figure 2-11: Flange Tap Equations for 4-inch Line Size 0.45 Beta Ratio
36 Figure 2-12: Flange Tap Equations for 6-inch Line Size 0.45 Beta Ratio
Figure 2-13: Flange Tap Equations for 10-inch Line Size 0.45 Beta Ratio
37 2.2 Corner Tap Equations
Figure 2-14: Flange Tap Equations for 24-inch Line Size 0.45 Beta Ratio
38 2.2.1 ASME MFC-3M 2004 (ISO-RHG)
39 2.2.2 ISO 5167 1991 (Stoltz)
2.2.3 PTC 19.5 Appendix 1 (Keyser)
40 2.2.4 Comparison of Equations
Figure 2-18: Corner Tap Equations for 2-inch Line Size 0.10 Beta Ratio
Figure 2-19: Corner Tap Equations for 2-inch Line Size 0.40 Beta Ratio
41 Figure 2-20: Corner Tap Equations for 2-inch Line Size 0.70 Beta Ratio
42 Figure 2-21: Corner Tap Equations for 2-inch Line Size 0.45 Beta Ratio
Figure 2-22: Corner Tap Equations for 3-inch Line Size 0.45 Beta Ratio
43 Figure 2-23: Corner Tap Equations for 4-inch Line Size 0.45 Beta Ratio
Figure 2-24: Corner Tap Equations for 6-inch Line Size 0.45 Beta Ratio
44 Figure 2-25: Corner Tap Equations for 10-inch Line Size 0.45 Beta Ratio
Figure 2-26: Corner Tap Equations for 24-inch Line Size 0.45 Beta Ratio
45 3 ANALYSIS METHODOLOGY
47 3.1 Example of Methodology
Table 3-1: Limits for Data Compiling in Example
Table 3-2: First 6 Rows of Results in Example
Table 3-3: Results of Analysis of Points that Met Criteria in Example
48 Figure 3-1: Graphical Representation of the Data in the Example Analysis
49 4 RESULTS
4.1 ASME MFC-3M 2004 (ISO-RHG) 2004 Flange Tap
Table 4-1: Number of Points Meeting ASME MFC-3M 2004 (ISO-RHG) Flange Tap Criteria
50 Table 4-2: Average Deviation Results for ASME MFC-3M 2004 (ISO-RHG) Flange Tap Equation
51 Figure 4-1: 2-inch 0.55-0.60 Beta Ratio Results for ASME MFC-3M 2004 (ISO-RHG) Flange Tap Equation
Figure 4-2: 4-inch 0.40-0.45 Beta Ratio Results for ASME MFC-3M 2004 (ISO-RHG) Flange Tap Equation
52 Table 4-3: Average Deviation from Database Value Regardless of Beta Ratio for ASME MFC-3M 2004 (ISO-RHG) Flange Tap Equation
Table 4-4: Average Deviation from Database Value Regardless of Line Size for ASME MFC-3M 2004 (ISO-RHG) Flange Tap Equation
53 Table 4-5: Number of Standard Deviations between Average Deviation and Equation for ASME MFC-3M 2004 (ISO- RHG) Flange Tap Equation
Figure 4-3: 4-inch 0.50-0.55 Beta Ratio Results for ASME MFC-3M 2004 (ISO-RHG) Flange TapEquation
54 4.2 ISO 5167 1991 (Stoltz) Flange Tap
Table 4-6: Number of Points Meeting ISO 5167 1991 (Stoltz) Flange Tap Criteria
Table 4-7: Average Deviation Results for ISO 5167 1991 (Stoltz) Flange Tap Equation
55 Table 4-8: Average Deviation from Database Value Regardless of Beta Ratio for ISO 5167 1991 (Stoltz) Flange Tap Equation
Table 4-9: Average Deviation from Database Value Regardless of Line Size for ISO 5167 1991 (Stoltz) Flange Tap Equation
56 Table 4-10: Number of Standard Deviations between Average Deviation and Equation for ISO 5167 1991 (Stoltz) Flange Tap Equation
57 4.3 AGA Report Number 3 1990 (AGA-RHG) Flange Tap
Table 4-11: Number of Points Meeting AGA Report Number 3 1990 (AGA-RHG) Flange Tap Criteria
58 Table 4-12: Average Deviation Results for AGA Report Number 3 1990 (AGA-RHG) Flange Tap Equation
59 Table 4-13: Average Deviation from Database Value Regardless of Beta Ratio for AGA Report Number 3 1990 (AGA-RHG) Flange Tap Equation
Table 4-14: Average Deviation from Database Value Regardless of Line Size for AGA Report Number 3 1990 (AGA-RHG) Flange Tap Equation
60 Table 4-15: Number of Standard Deviations between Average Deviation and Equation for AGA Report Number 3 1990 (AGA-RHG) Flange Tap Equation
61 4.4 PTC 19.5 Appendix 1 (Keyser) Equation Flange Tap
Table 4-16: Number of Points Meeting PTC 19.5 Appendix 1 (Keyser) Flange Tap Criteria
62 Table 4-17: Average Deviation Results for PTC 19.5 Appendix 1 (Keyser) Flange Tap Equation
63 Table 4-18: Average Deviation from Database Value Regardless of Beta Ratio for PTC 19.5 Appendix 1 (Keyser) Flange Tap Equation
Table 4-19: Average Deviation from Database Value Regardless of Line Size for PTC 19.5 Appendix 1 (Keyser) Tap Equation
64 Table 4-20: Number of Standard Deviations between Average Deviation and Equation for PTC 19.5 Appendix 1
65 4.5 ASME MFC-3M 2004 (ISO-RHG) 2004 Corner Tap
Table 4-21: Number of Points Meeting ASME MFC-3M 2004 (ISO-RHG) Corner Tap Criteria
66 Table 4-22: Average Deviation Results for ASME MFC-3M 2004 (ISO-RHG) Corner Tap Equation
Figure 4-4: 4-inch 0.15-0.20 Beta Ratio Results for ASME MFC-3M 2004 (ISO-RHG) Corner Tap Equation
67 Table 4-23: Average Deviation from Database Value Regardless of Beta Ratio for ASME MFC-3M 2004 (ISO-RHG) Corner Tap Equation
Table 4-24: Average Deviation from Database Value Regardless of Line Size for ASME MFC-3M 2004 (ISO-RHG) Corner Tap Equation
68 Table 4-25: Number of Standard Deviations between Average Deviation and Equation for ASME MFC-3M 2004 (ISO- RHG) Corner Tap Equation
69 4.6 ISO 5167 1991 (Stoltz) Corner Tap
Table 4-26: Number of Points Meeting ISO 5167 1991 (Stoltz) Corner Tap Criteria
70 Figure 4-27: Average Deviation Results for ISO 5167 1991 (Stoltz) Corner Tap Equation
71 Figure 4-28: Average Deviation from Database Value Regardless of Beta Ratio for ISO 5167 1991 (Stoltz) Corner Tap Equation
Figure 4-29: Average Deviation from Database Value Regardless of Line Size for ISO 5167 1991 (Stoltz) Corner Tap Equation
72 Figure 4-30: Number of Standard Deviations between Average Deviation and Equation for ISO 5167 1991 (Stoltz) Corner Tap Equation
73 4.7 PTC 19.5 Appendix 1 (Keyser) Equation Corner Tap
Table 4-31: Number of Points Meeting PTC 19.5 Appendix 1 (Keyser) Corner Tap Criteria
74 Figure 4-32: Average Deviation Results for PTC 19.5 Appendix 1 (Keyser) Corner Tap Equation
75 Figure 4-33: Average Deviation from Database Value Regardless of Beta Ratio for PTC 19.5 Appendix 1 (Keyser) Corner Tap Equation
Figure 4-34: Average Deviation from Database Value Regardless of Line Size for PTC 19.5 Appendix 1 (Keyser) Corner Tap Equation
76 Figure 4-35: Number of Standard Deviations between Average Deviation and Equation forPTC 19.5 Appendix 1 (Keyser) Corner Tap Equation
77 5 EXTRAPOLATION TESTING
5.1 Methodology
Figure 5-1: Example of Extrapolation Comparison
78 5.2 Flange Tap Equation Extrapolation
5.2.1 6-inch 0.35-0.40 Beta Ratio
Figure 5-2: Extrapolation Analysis for 6-inch 0.35-0.40 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
Figure 5-3: Extrapolation Analysis for 6-inch 0.35-0.40 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
79 5.2.2 10-inch 0.35-0.40 Beta Ratio
Figure 5-4: Extrapolation Analysis for 10-inch 0.35-0.40 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
Figure 5-5: Extrapolation Analysis for 10-inch 0.35-0.40 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
80 5.2.3 6-inch 0.45-0.50 Beta Ratio
Figure 5-6: Extrapolation Analysis for 6-inch 0.45-0.50 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
Figure 5-7: Extrapolation Analysis for 6-inch 0.45-0.50 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
81 5.2.4 10-inch 0.45-0.50 Beta Ratio
Figure 5-8: Extrapolation Analysis for 10-inch 0.45-0.50 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
Figure 5-9: Extrapolation Analysis for 10-inch 0.45-0.50 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
82 5.2.5 6-inch 0.55-0.60 Beta Ratio
Figure 5-10: Extrapolation Analysis for 6-inch 0.55-0.60 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
Figure 5-11: Extrapolation Analysis for 6-inch 0.55-0.60 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
83 5.2.6 10-inch 0.55-0.60 Beta Ratio
Figure 5-12: Extrapolation Analysis for 10-inch 0.55-0.60 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
Figure 5-13: Extrapolation Analysis for 10-inch 0.55-0.60 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
84 5.2.7 6-inch 0.65-0.70 Beta Ratio
Figure 5-14: Extrapolation Analysis for 6-inch 0.65-0.70 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
Figure 5-15: Extrapolation Analysis for 6-inch 0.65-0.70 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
85 5.2.8 10-inch 0.65-0.70 Beta Ratio
Figure 5-16: Extrapolation Analysis for 10-inch 0.65-0.70 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
Figure 5-17: Extrapolation Analysis for 10-inch 0.65-0.70 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
86 5.3 Corner Tap Equation Extrapolation
5.3.1 6-inch 0.35-0.40 Beta Ratio
Figure 5-18: Extrapolation Analysis for 10-inch 0.35-0.40 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
87 5.3.2 10-inch 0.45-0.50 Beta Ratio
Figure 5-19: Extrapolation Analysis for 10-inch 0.35-0.40 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
Figure 5-20: Extrapolation Analysis for 10-inch 0.45-0.50 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
88 5.3.3 10-inch 0.55-0.60 Beta Ratio
Figure 5-21: Extrapolation Analysis for 10-inch 0.45-0.50 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
Figure 5-22: Extrapolation Analysis for 10-inch 0.55-0.60 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
89 5.3.4 10-inch 0.65-0.70 Beta Ratio
Figure 5-23: Extrapolation Analysis for 10-inch 0.55-0.60 Beta Ratio ASME MFC-3M 2004 (ISO-RHG) Equation
Figure 5-24: Extrapolation Analysis for 10-inch 0.65-0.70 Beta Ratio PTC 19.5 Appendix 1 (Keyser) Equation
90 Figure 5-25: Extrapolation Analysis for 10-inch 0.65-0.70 Beta Ratio ASME MFC-3M 2004(ISO-RHG) Equation
91 6 SUMMARY AND CONCLUSIONS
6.1 Flange Tap Equations
92 6.2 Corner Tap Equations
ASME STP TS 084 2018
$98.04