Jw. Jiang et Jm. Prausnitz, Critical temperatures and pressures for hydrocarbon mixtures from an equation of state with renormalization-group theory corrections, FLU PH EQUI, 169(2), 2000, pp. 127-147
A recently developed crossover equation of state (EOS) incorporates contrib
utions from long-wavelength density fluctuations by renormalization-group t
heory. This EOS can satisfactorily describe the thermodynamic properties of
chain fluids both far-from and near-to the critical region; it is used her
e to calculate the critical locus of a mixture. Because the calculations re
quire much computation time, especially for ternary land higher) mixtures,
an interpolation method is used as suggested by Redlich over 30 years ago.
For a binary mixture, along the critical line that gives the critical tempe
rature or critical pressure as a function of composition, the limiting slop
es at the critical points of the pure components are explicitly derived fro
m the criteria for a critical point. Logarithmic-hyperbolic interpolation e
quations are selected to calculate the entire critical lines of the binary
mixtures; this procedure is then generalized to multicomponent mixtures. Up
on comparison with experimental critical data, the interpolation equations
give good critical lines for binary and multicomponent type-1 mixtures of n
-alkanes. (C) 2000 Elsevier Science B.V. All rights reserved.