Assessing experimental uncertainty : supplement to AIAA S-071A-1999 /

This AIAA Guide supplements the methodology for assessment of experimental uncertainties and techniques for evaluating experimental error sources provided in AIAA Standard S-071A-1999, "Assessment of Experimental Uncertainty with Application to Wind Tunnel Testing." This document provides...

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Bibliographic Details
Corporate Author: American Institute of Aeronautics and Astronautics
Format: Book
Language:English
Published: Reston, VA : American Institute of Aeronautics and Astronautics, ©2003.
Subjects:
Online Access:Table of contents
Table of Contents:
  • Machine derived contents note: Contents
  • CONTENTS iii
  • Foreword v
  • Dedication vi
  • Part I Basic Topics 1
  • 1 Introduction 1
  • 2 Uncertainty Methodology and Application 2
  • 2.1 Methodology Primer 2
  • 2.1.1 Single Test 4
  • 2.1.2 Multiple Tests 4
  • 2.1.3 Relative Sensitivity Factors 5
  • 2.2 Application Primer 5
  • 2.2.1 Experiment Definition 5
  • 2.2.2 Uncertainties of the Experimental Results 6
  • 2.2.2.1 Multiple Tests 6
  • 2.2.2.2 Single Test 9
  • 3 General Uncertainty Analysis Example-Evaluating Measurement Methods 11
  • 3.1 Introduction 11
  • 3.2 Mach Number Equations 11
  • 3.3 Uncertainty Analysis 12
  • 3.3.1 Partial Derivative Terms 13
  • 3.3.2 Transducer Uncertainty 14
  • 3.3.3 Mach Number Uncertainty 14
  • 3.3.4 Relative Sensitivity Factors 16
  • 4 General Uncertainty Analysis Example-Evaluating Data Reduction Equations 18
  • 4.1 Turbine Efficiency Equations 19
  • 4.2 Procedure 19
  • 4.3 Results 20
  • 4.3.1 Overall Uncertainty 20
  • 4.3.2 Umf 20
  • 4.3.3 Upc 21
  • 4.3.4 Summary 22
  • 5 Systematic Uncertainties and Correlation 31
  • 5.1 Systematic Uncertainties 31
  • 5.2 Correlated Systematic Uncertainties 33
  • 5.2.1 Bath Uniformity 34
  • 5.2.2 Standard Uncertainty 35
  • 5.3 Correlated Systematic Uncertainties Example 35
  • Part II Advanced Topics 39
  • 6 Random Uncertainties and Correlation 39
  • 6.1 Random Uncertainties 39
  • 6.2 Correlated Random Uncertainty Example 39
  • 6.2.1 Background 39
  • 6.2.2 Calibration Approach and Results 40
  • 6.2.3 Uncertainty Analysis 41
  • 6.3 Discharge Coefficient and Mass Flow Rate Equations 45
  • 7 Regression Uncertainty 48
  • 7.1 Categories of Regression Uncertainty 48
  • 7.1.1 Uncertainty in Coefficients 49
  • 7.1.2 Uncertainty in Y from Regression Model 49
  • 7.1.3 (Xi, Yi) Variables are Functions 50
  • 7.2 Linear Regression Uncertainty 50
  • 7.2.1 General Approach 50
  • 7.2.2 Reporting Regression Uncertainties 52
  • 7.2.3 Differential Pressure Transducer Calibration Example 53
  • 7.2.4 X and Y as Functional Relations 55
  • 7.2.5 1st Order Regressions 57
  • 7.2.5.1 Uncertainty in Coefficients 57
  • 7.2.5.2 Classical Regression Random Uncertainty 59
  • 7.2.5.3 Lift Slope and Lift Coefficient Example 60
  • 8 Automated Uncertainty Analysis for Production Experiments 65
  • 8.1 Introduction 65
  • 8.2 Error Propagation 65
  • 8.3 Estimation of Input Uncertainties 66
  • 8.3.1 Systematic Uncertainty Estimation 67
  • 8.3.2 Random Uncertainty Estimation 68
  • 8.3.3 Specific Uncertainty Estimates 68
  • 8.4 Results 69
  • 8.5 Summary 69
  • 9 Useful References 80.