Dh. Smith et M. Ferer, IMPROVED PHASE-BOUNDARY FOR ONE-COMPONENT VAPOR-LIQUID-EQUILIBRIUM - INCORPORATING CRITICAL-BEHAVIOR AND CUBIC EQUATIONS OF STATE, Fluid phase equilibria, 113(1-2), 1995, pp. 103-115
Many current uses of fluid phase equilibria would benefit from new equ
ations of state that are more accurate in fitting experimental data an
d more certain of their predictions for unmeasured phase equilibria. W
e present a first step towards a fitting procedure which incorporates
the advantages of critical scaling theory in the vicinity of the criti
cal point with the advantages of 'classical' cubic equations of state
far from the critical point. For VLE, we propose a non-linear order pa
rameter (density variable) that captures the familiar fluid asymmetry
in the far from critical vapor and liquid regimes without affecting th
e linear density-dependence in the near critical regime; this compleme
nts earlier work for LLE. Use of this order parameter in describing th
e liquid-vapor phase boundary effects a 'heuristic' crossover from acc
urate critical point behavior to accurate far-from-critical behavior.
The accuracy of this procedure has been verified by using it to fit da
ta from the open literature for the vapor-liquid phase boundary for a
variety of one component systems: with polar molecules (chlorotrifluor
omethane), with small non-polar molecules (carbon dioxide, ethane), an
d with the heavier normal alkanes (pentane, hexane, heptane, octane, a
nd nonane). Within 100 k of the critical point, this method is substan
tially more accurate than its competitors. At worst, in the far-from-c
ritical (e.g. 200-300 K below the critical point) regime, this procedu
re seems to consistently overestimate the vapor densities by a small a
mount (less than 3%).