NDLI: Stochastic ensembles of thermodynamic potentials

Content Provider	Springer Nature Link
Author	Feistel, Rainer
Copyright Year	2010
Abstract	The provision of uncertainty estimates along with measurement results or values computed thereof is metrologically mandatory. This is in particular true for observational data related to climate change, and thermodynamic properties of geophysical substances derived thereof, such as of air, seawater or ice. The recent International Thermodynamic Equation of Seawater 2010 (TEOS-10) provides such properties in a comprehensive and highly accurate way, derived from empirical thermodynamic potentials released by the International Association for the Properties of Water and Steam (IAPWS). Currently, there are no generally recognised algorithms available for a systematic and comprehensive estimation of uncertainties for arbitrary properties derived from those potentials at arbitrary input values, based on the experimental uncertainties of the laboratory data that were used originally for the correlations during the construction process. In particular, standard formulas for the uncertainty propagation which do not account for mutual uncertainty correlations between different coefficients tend to systematically and significantly overestimate the uncertainties of derived quantities, which may lead to practically useless results. In this paper, stochastic ensembles of thermodynamic potentials, derived from randomly modified input data, are considered statistically to provide analytical formulas for the computation of the covariance matrix of the related regression coefficients, from which in turn uncertainty estimates for any derived property can be computed a posteriori. For illustration purposes, simple analytical application examples of the general formalism are briefly discussed in greater detail.
Starting Page	225
Ending Page	235
Page Count	11
File Format	PDF
ISSN	09491775
Journal	Accreditation and Quality Assurance
Volume Number	16
Issue Number	4-5
e-ISSN	14320517
Language	English
Publisher	Springer-Verlag
Publisher Date	2010-08-18
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Uncertainty Correlation Thermodynamic potential Fundamental thermodynamic equation Covariance matrix Error propagation Thermodynamic properties Water Ice Seawater Commercial Law Food Science Analytical Chemistry Ecotoxicology Biochemistry Marketing
Content Type	Text
Resource Type	Article
Subject	Chemistry Instrumentation Chemical Engineering Safety, Risk, Reliability and Quality

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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