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Simultaneous Optimization as a Method to Establish Generalized Functional Forms for Empirical Equations of State

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Abstract

A new algorithm for the optimization of functional forms of empirical equations of state is presented which considers data sets of different substances simultaneously. In this way, functional forms for empirical equations of state can be developed which yield, on average, the best representation of the thermo-dynamic properties of all substances within larger groups of substances (e.g., “nonpolar” and “polar” substances). The new algorithm is being used to develop a new class of empirical equations of state which meet typical technical requirements on the accuracy of thermodynamic properties with only about 10 fittable coefficients. The first results for nonpolar fluids are reported.

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Span, R., Collmann, HJ. & Wagner, W. Simultaneous Optimization as a Method to Establish Generalized Functional Forms for Empirical Equations of State. International Journal of Thermophysics 19, 491–500 (1998). https://doi.org/10.1023/A:1022573729698

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  • DOI: https://doi.org/10.1023/A:1022573729698

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