ASME MFC 2M 1983 R2013
$98.04
ASME MFC-2M Measurement Uncertainty for Fluid Flow in Closed Conduits – Reaffirmed 2013
Published By | Publication Date | Number of Pages |
ASME | 1983 | 74 |
This Standard presents a working outline detailing and illustrating the techniques for estimating measurement uncertainty for fluid flow in closed conduits. The statistical techniques and analytical concepts applied herein are applicable in most measurement processes. Section 2 provides examples of the mathematical model applied to the measurement of fluid flow. Each example inches a discussion of the elemental errors and examples of the statistical techniques. An effort has been made to use simple prose with a minimum of jargon.
PDF Catalog
PDF Pages | PDF Title |
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3 | Foreword |
4 | Standards Committee Roster |
6 | CONTENTS |
7 | C2 Rejection Values for Grubbs’ Method |
8 | Section 1 – Introduction 1.1 Objective 1.2 Scope 1.3 Nomenclature |
10 | 1.4 Measurement Error |
11 | Figures 1 Measurement Error |
12 | 2 Precision Error |
13 | Tables 1 Values Associated With the Distribution of the Average Range |
14 | 3 Bias Error |
15 | 4 Measurement Error (Bias, Precision, and Accuracy) 2 Nonsymmetrical Bias Limits |
16 | 1.5 Measurement Error Sources |
17 | 5 Basic Measurement Calibration Hierarchy 6 Data Acquisition System 3 Calibration Hierarchy Error Sources |
18 | 1.6 Dependency of Error Classes on the Defined Measurement Process 4 Data Acquisition Error Sources 5 Data Reduction Error Sources |
19 | 7 Trending Error Calibration History – Treat as Precision |
22 | 1.7 Measurement Uncertainty Interval – Combining Bias and Precision |
23 | 8 Measurement Uncertainty; Symmetrical Bias |
24 | 9 Measurement Uncertainty; Nonsymmetrical Bias 6 Uncertainty Intervals Defined by Nonsymmetrical Bias Limits |
25 | 1.8 Propagation of Measurement Errors 10 Run-to-Run Difference |
27 | 11 Flow Through a Choked Venturi |
28 | 1.9 Measurement Uncertainty Analysis Report 7 Flow Data |
29 | 1.10 Pretest vs Post-test Measurement Uncertainty Analysis 1.11 Measurement Uncertainty Analysis Procedure |
30 | 8 Elemental Error Sources |
31 | 1.12 List of References on Statistical Quality Control Charts |
32 | Section 2 – Examples 2.1 Introduction 2.2 General |
33 | 2.3 Example One – Test Facility |
34 | 12 Schematic of Critical Venturi Flowmeter Installation Upstream of a Turbine Engine 13 Typical Calibration Hierarchy 9 Calibration Hierarchy Error Sources |
36 | 14 Calibration Process Uncertainty Parameter U1 = +-(B1 + t95S) 10 Pressure Transducer Data Acquisition Error Sources |
38 | 11 Pressure Measurement Data Reduction Error Sources |
41 | 15 Temperature Measurement Calibration Hierarchy 12 Temperature Calibration Hierarchy Elemental Errors |
43 | 16 Typical Thermocouple Channel |
49 | 13 Airflow Measurement Error Sources |
52 | 2.4 Example Two – Back-to-Back Comparative Test |
54 | 2.5 Example Three – Liquid Flow 14 Error Comparisons of Examples One and Two |
56 | 17 Graph of b vs B 15 Values of B and B |
57 | 16 Results for d = 14 in. and B = 0.667 |
58 | Appendices A Glossary |
59 | A1 Bias in a Random Process A2 Correlation Coefficients |
63 | B Propagation of Errors by Taylor Series |
67 | B1 Results of Monte Carlo Simulation for Theoretical Input ( ) B2 Results of Monte Carlo Simulation for Theoretical Input |
68 | B3 Error Propagation Formulas |
69 | C Outlier Detection |
70 | C1 Outliers Outside the Range of Acceptable Data |
71 | C1 Rejection Values for Thompson’s Tau |
72 | C3 a, B Error in Grubbs’ Outlier Test (Based on 1 Outlier in Each of 100 Samples of Sizes 5, 10, and 40) C3 Sample Values C4 Results of Applying Thompson’s t and Grubbs’ Method |
73 | C4 Results of Outlier Tests |
74 | D1 Two-Tailed Student’s t Table D Student’s t Table |