Abstract :
New functional forms for multiparameter equations of state have been developed
for non- and weakly polar fluids and for polar fluids. The resulting functional
forms, which were established with an optimization algorithm which
considers data sets for different fluids simultaneously, are suitable as a basis for
equations of state for a broad variety of fluids. With regard to the achieved
accuracy, the functional forms were designed to fulfill typical demands of
advanced technical application. They are numerically very stable, and their
substance-specific coefficients can easily be fitted to restricted data sets. In this
way, a fast extension of the group of fluids for which accurate empirical equations
of state are available becomes possible. This article deals with characteristic
features of the new class of simultaneously optimized equations of state.
Shortcomings of existing multiparameter equations of state widely used in
technical applications are briefly discussed, and demands on the new class of
equations of state are formulated. Substance specific parameters and detailed
comparisons are given in subsequent articles for the non- and weakly polar
fluids (methane, ethane, propane, isobutane, n-butane, n-pentane, n-hexane,
n-heptane, n-octane, argon, oxygen, nitrogen, ethylene, cyclohexane, and
sulfur hexafluoride) and for the polar fluids (trichlorofluoromethane (CFC-11),
dichlorodifluoromethane (CFC-12), chlorodifluoromethane (HCFC-22),
difluoromethane (HFC-32), 1,1,2-trichlorotrifluoroethane (CFC-113), 2,2-
dichloro-1,1,1-trifluoroethane (HCFC-123), pentafluoroethane (HFC-125),
Keywords :
Helmholtz energy , numerical stability , polar fluids , Simultaneous optimization , technical application. , equation of state , extrapolation behavior , Functional form , fundamental equation , nonpolar fluids