Modification to the van der waals equation of state

Abstract

In this paper, we modify the VDW equation of state by adding a temperature factor to it. As a result, we give out a good phase diagram and the correlation of the reduced pressure and the reduced temperature when a balanced liquid-gas coexistence canonical argon-like system is considered. *

The effect of equations of state on the performances of compositional grading models

“…They introduced a temperature dependency to the attraction parameter "α" of the vdW EOS. Several other modifications of the vdW EOS have been reported in the literature (Thiele 1963;Carnahan and Starling 1972;Chien, Greenkorn and Chao 1983;Adachi and Lu 1984;Watson et al 1986;Lin et al 1985;Wei and Sadus 2000;Span et al 2001;Tian and Gui 2003). The RK EOS was further modified by Soave, and Peng and Robinson (Soave 1972;Peng and Robinson 1976;Robinson and Peng 1978).…”

Liquid–gas Phase Transition to First Order of an Argon-Like Fluid Modeled by the Hard-Core Similar Sutherland Potential

“…which best fits the experimental data for argon when T * > 0.60T c except a tiny region near the critical point [5,7]. Thus it is acceptable to consider the data of (P * e , T * ) from Eq.…”

“…In 1945, E.A.Guggenheim collected the data of the balanced liquid-gas coexistence system from experiments and gave out the correlation of ρ * 1 , ρ * 2 and T * by the empirical equations [5,6] below…”

“…(51-52), ρ * 1 is the reduced density of the gases and ρ * 2 is the reduced density of the liquids. As far as argon system is concerned, the inaccuracy of these two equations is generally only one or two parts per thousand of ρ * 2 or of ρ * 1 when T * > 0.60T c [5,6]. So, it is acceptable to consider the data of (T * , n * 1 (T * ), n * 2 (T * )) from Eq.…”

“…In Ref. [5], the theoretic relation of ln P * versus 1/T * was given by this method in the case of σ = 1.…”