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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
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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
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
ASME MFC 2M 1983 R2013
$98.04