Can cubic equations of state be recast in the virial form?

被引：13

作者：

Privat, Romain ^{[1
]}

Privat, Yannick ^{[2
]}

Jaubert, Jean-Noel ^{[1
]}

机构：

[1] Nancy Univ, Lab Thermodynam Milieux Polyphases, F-54001 Nancy, France

[2] Univ Orleans, CNRS, MAPMO, UFR Sci,UMR Federat Denis Poisson 6628, F-45067 Orleans 2, France

来源：

FLUID PHASE EQUILIBRIA | 2009年 / 282卷 / 01期

关键词：

Cubic equations of state; Virial expansion; Power series expansion; Van der Waals; Redlich-Kwong; Redlich-Kwong-Soave; Peng-Robinson; Schmidt-Wenzel; MODEL PREDICTIVE 1978; PENG-ROBINSON EOS; PPR78; MODEL; BINARY-SYSTEMS; SUPERCRITICAL CO2; PHASE-EQUILIBRIA; OF-STATE; EXTENSION; NITROGEN; BEHAVIOR;

D O I：

10.1016/j.fluid.2009.04.011

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper. we propose a mathematical study of the virial expansion of cubic equations of state. We attempt to provide an answer to the following questions: -Is the virial equation only appropriate for the description of gases at low to moderate densities? -What is the impact of the order of truncation on the representation of P - v isotherms? -What is the difference between a truncation at an even order and a truncation at an odd order? -What is the theoretical volume range of validity of a virial expansion? To illustrate and apply these concepts, we considered four classical cubic equations of state, namely: Van der Waals, Redlich-Kwong-Soave, Peng-Robinson and Schmidt-Wenzel. For all of these equations, we detail the limitations and the capabilities of the virial expansions. Finally, we propose a new general relation between the coefficients of the virial equation in pressure and those of the virial equation in density. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：38 / 50

页数：13

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