Ew. Lemmon et R. Tillner-roth, A Helmholtz energy equation of state for calculating the thermodynamic properties of fluid mixtures, FLU PH EQUI, 165(1), 1999, pp. 1-21
A new approach has been developed for calculating the properties of mixture
s based on an equation of state explicit in reduced Helmholtz energy. This
approach allows for the representation of the thermodynamic properties over
a wide range of fluid states and is based on highly accurate equations of
state for the pure components combined at the reduced temperature and densi
ty of the mixture. The reducing parameters used for temperature and density
depend on composition. For simple mixtures (those that closely follow Raou
lt's law), a very accurate representation of all thermodynamic properties h
as been achieved with relatively simple functions. For nonideal mixtures, t
he reducing functions for density and temperature were modified, and a depa
rture function was added to the equation of state. Generally, the model is
able to represent liquid and vapor states with uncertainties of 0.1% in den
sity, 1% in heat capacities and 1% in bubble point pressures if experimenta
l data of comparable uncertainties exist. Two applications of the mixture m
odel concepts were developed independently by the authors in the United Sta
tes and Germany over the same time period. These applications include the d
evelopment of individual equations for each binary system and a generalizat
ion of the model which is valid for a wide variety of mixtures. The individ
ual approaches are presented with an explanation of the similarities and di
fferences. Although the paper focuses mainly on binary systems, some result
s for ternary mixtures are also presented. (C) 1999 Published by Elsevier S
cience B.V.