{"id":98508,"date":"2024-10-18T11:14:49","date_gmt":"2024-10-18T11:14:49","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/asme-mfc-2m-1983-r2013\/"},"modified":"2024-10-24T21:12:12","modified_gmt":"2024-10-24T21:12:12","slug":"asme-mfc-2m-1983-r2013","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/asme\/asme-mfc-2m-1983-r2013\/","title":{"rendered":"ASME MFC 2M 1983 R2013"},"content":{"rendered":"

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.<\/p>\n

PDF Catalog<\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
PDF Pages<\/th>\nPDF Title<\/th>\n<\/tr>\n
3<\/td>\nForeword <\/td>\n<\/tr>\n
4<\/td>\nStandards Committee Roster <\/td>\n<\/tr>\n
6<\/td>\nCONTENTS <\/td>\n<\/tr>\n
7<\/td>\nC2 Rejection Values for Grubbs\u2019 Method <\/td>\n<\/tr>\n
8<\/td>\nSection 1 – Introduction
1.1 Objective
1.2 Scope
1.3 Nomenclature <\/td>\n<\/tr>\n
10<\/td>\n1.4 Measurement Error <\/td>\n<\/tr>\n
11<\/td>\nFigures
1 Measurement Error <\/td>\n<\/tr>\n
12<\/td>\n2 Precision Error <\/td>\n<\/tr>\n
13<\/td>\nTables
1 Values Associated With the Distribution of the Average Range <\/td>\n<\/tr>\n
14<\/td>\n3 Bias Error <\/td>\n<\/tr>\n
15<\/td>\n4 Measurement Error (Bias, Precision, and Accuracy)
2 Nonsymmetrical Bias Limits <\/td>\n<\/tr>\n
16<\/td>\n1.5 Measurement Error Sources <\/td>\n<\/tr>\n
17<\/td>\n5 Basic Measurement Calibration Hierarchy
6 Data Acquisition System
3 Calibration Hierarchy Error Sources <\/td>\n<\/tr>\n
18<\/td>\n1.6 Dependency of Error Classes on the Defined Measurement Process
4 Data Acquisition Error Sources
5 Data Reduction Error Sources <\/td>\n<\/tr>\n
19<\/td>\n7 Trending Error Calibration History – Treat as Precision <\/td>\n<\/tr>\n
22<\/td>\n1.7 Measurement Uncertainty Interval – Combining Bias and Precision <\/td>\n<\/tr>\n
23<\/td>\n8 Measurement Uncertainty; Symmetrical Bias <\/td>\n<\/tr>\n
24<\/td>\n9 Measurement Uncertainty; Nonsymmetrical Bias
6 Uncertainty Intervals Defined by Nonsymmetrical Bias Limits <\/td>\n<\/tr>\n
25<\/td>\n1.8 Propagation of Measurement Errors
10 Run-to-Run Difference <\/td>\n<\/tr>\n
27<\/td>\n11 Flow Through a Choked Venturi <\/td>\n<\/tr>\n
28<\/td>\n1.9 Measurement Uncertainty Analysis Report
7 Flow Data <\/td>\n<\/tr>\n
29<\/td>\n1.10 Pretest vs Post-test Measurement Uncertainty Analysis
1.11 Measurement Uncertainty Analysis Procedure <\/td>\n<\/tr>\n
30<\/td>\n8 Elemental Error Sources <\/td>\n<\/tr>\n
31<\/td>\n1.12 List of References on Statistical Quality Control Charts <\/td>\n<\/tr>\n
32<\/td>\nSection 2 – Examples
2.1 Introduction
2.2 General <\/td>\n<\/tr>\n
33<\/td>\n2.3 Example One – Test Facility <\/td>\n<\/tr>\n
34<\/td>\n12 Schematic of Critical Venturi Flowmeter Installation Upstream of a Turbine Engine
13 Typical Calibration Hierarchy
9 Calibration Hierarchy Error Sources <\/td>\n<\/tr>\n
36<\/td>\n14 Calibration Process Uncertainty Parameter U1 = +-(B1 + t95S)
10 Pressure Transducer Data Acquisition Error Sources <\/td>\n<\/tr>\n
38<\/td>\n11 Pressure Measurement Data Reduction Error Sources <\/td>\n<\/tr>\n
41<\/td>\n15 Temperature Measurement Calibration Hierarchy
12 Temperature Calibration Hierarchy Elemental Errors <\/td>\n<\/tr>\n
43<\/td>\n16 Typical Thermocouple Channel <\/td>\n<\/tr>\n
49<\/td>\n13 Airflow Measurement Error Sources <\/td>\n<\/tr>\n
52<\/td>\n2.4 Example Two – Back-to-Back Comparative Test <\/td>\n<\/tr>\n
54<\/td>\n2.5 Example Three – Liquid Flow
14 Error Comparisons of Examples One and Two <\/td>\n<\/tr>\n
56<\/td>\n17 Graph of b vs B
15 Values of B and B <\/td>\n<\/tr>\n
57<\/td>\n16 Results for d = 14 in. and B = 0.667 <\/td>\n<\/tr>\n
58<\/td>\nAppendices
A Glossary <\/td>\n<\/tr>\n
59<\/td>\nA1 Bias in a Random Process
A2 Correlation Coefficients <\/td>\n<\/tr>\n
63<\/td>\nB Propagation of Errors by Taylor Series <\/td>\n<\/tr>\n
67<\/td>\nB1 Results of Monte Carlo Simulation for Theoretical Input ( )
B2 Results of Monte Carlo Simulation for Theoretical Input <\/td>\n<\/tr>\n
68<\/td>\nB3 Error Propagation Formulas <\/td>\n<\/tr>\n
69<\/td>\nC Outlier Detection <\/td>\n<\/tr>\n
70<\/td>\nC1 Outliers Outside the Range of Acceptable Data <\/td>\n<\/tr>\n
71<\/td>\nC1 Rejection Values for Thompson\u2019s Tau <\/td>\n<\/tr>\n
72<\/td>\nC3 a, B Error in Grubbs\u2019 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\u2019s t and Grubbs\u2019 Method <\/td>\n<\/tr>\n
73<\/td>\nC4 Results of Outlier Tests <\/td>\n<\/tr>\n
74<\/td>\nD1 Two-Tailed Student\u2019s t Table
D Student\u2019s t Table <\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

ASME MFC-2M Measurement Uncertainty for Fluid Flow in Closed Conduits – Reaffirmed 2013<\/b><\/p>\n\n\n\n\n
Published By<\/td>\nPublication Date<\/td>\nNumber of Pages<\/td>\n<\/tr>\n
ASME<\/b><\/a><\/td>\n1983<\/td>\n74<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":98509,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[2643],"product_tag":[],"class_list":{"0":"post-98508","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-asme","8":"first","9":"instock","10":"sold-individually","11":"shipping-taxable","12":"purchasable","13":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/98508","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media\/98509"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=98508"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=98508"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=98508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}