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.
Similar content being viewed by others
REFERENCES
W. Wagner, Fortschr.-Ber. VDI-Z., Ser. 3, No. 39 (1974).
K. M. de Reuck and B. Armstrong, Cryogenics 25:505 (1979).
J. Ewers and W. Wagner, in Proc. 8th Symp. Thermophys. Prop., J. V. Sengers, ed. (American Society of Mechanical Engineers, New York, 1982), pp. 78–87.
U. Setzman and W. Wagner, Int. J. Thermophys. 10:1103 (1989).
R. Span and W. Wagner, Int. J. Thermophys. 18:1415 (1997).
U. Setzmann and W. Wagner, J. Phys. Chem. Ref. Data 20:1061 (1991).
R. Span and W. Wagner, J. Phys. Chem. Ref. Data 25:1509 (1996).
R. T Jacobsen, R. B. Stewart, and M. Jahangiri, J. Phys. Chem. Ref. Data 15:735 (1986).
E. Bender, in Proc. 5th Symp. Thermophys. Prop., C. F. Bonila, ed. (American Society of Mechanical Engineers, New York, 1970), pp. 227–235.
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1023/A:1022573729698