R. Span et al., SIMULTANEOUS-OPTIMIZATION AS A METHOD TO ESTABLISH GENERALIZED FUNCTIONAL FORMS FOR EMPIRICAL EQUATIONS OF STATE, International journal of thermophysics, 19(2), 1998, pp. 491-500
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 thermodynamic properties of all substances with
in larger groups of substances (e.g., ''nonpolar'' and ''polar'' subst
ances). The new algorithm is being used to develop a new class of empi
rical equations of stale which meet typical technical requirements on
the accuracy of thermodynamic properties with only about 10 fittable c
oefficients. The first results for nonpolar fluids are reported.