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Determination of pressure balance distortion coefficient andzero-pressure effective area uncertainties

Published online by Cambridge University Press:  10 January 2012

V. Ramnath
V. Ramnath*
Affiliation:
Pressure & Vacuum Laboratory, National Metrology Institute of South Africa, Private Bag X34, Lynnwood Ridge, 0040 Pretoria, South Africa
*
⋆Correspondence: vramnath@nmisa.org
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Abstract

The behaviour of piston-cylinder operated pressure balances is characterized by thedistortion coefficient λ and zero-pressure effective areaA0 which model the variation of a pressure balance’s area interms of the applied pressure. This paper determines the uncertainties inλ and A0 when utilizing the method ofcross-floating with another pressure balance standard whose parameters and associateduncertainties are known. A limitation that is frequently encountered in many attempts ofthe uncertainty analysis for a pressure balance is that no readily accessible uncertaintyquantification framework for the distortion coefficient is present. As a result theuncertainty in a pressure balance’s area at elevated applied pressures is typicallyunderestimated in the absence of this uncertainty information. We firstly review theuncertainty formulation for a pressure balance generated pressure involving correlationeffects in terms of an implicit multivariate matrix equation approach and then utilizingthe resulting solution present the methodology to consistently perform the uncertaintyanalysis for λ and A0.

Keywords

Pressure balanceeffective areadistortion coefficientuncertainty analysisparameter estimation
Type
Research Article
Information
International Journal of Metrology and Quality Engineering , Volume 2 , Issue 2 , 2011 , pp. 101 - 119
Copyright
© EDP Sciences 2012

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