Development of the translated-consistent tc-PR and tc-RK cubic equations of state for a safe and accurate prediction of volumetric, energetic and saturation properties of pure compounds in the sub- and super-critical domains

• Published in: Fluid phase equilibria 2016-12, Vol.429, p.301-312
• Main Authors: Le Guennec, Yohann, Privat, Romain, Jaubert, Jean-Noël
• Format: Article
• Language: English
• Subjects: Chemical and Process Engineering; Consistent α-function; Cubic equations; Engineering Sciences; Equation of state; Equations of state; Extrapolation; Liquids; Mathematical models; Parameter estimation; Parameters; Peng-Robinson; Reactive fluid environment; Redlich-Kwong; Translations; Twu; Volume-translation
• ISSN: 0378-3812; 1879-0224
• DOI: 10.1016/j.fluid.2016.09.003

In this paper, translated and consistent versions of the Peng-Robinson (tc-PR) and Redlich-Kwong (tc-RK) cubic equations of state (CEoS) are developed. The adjective consistent means that the α-function used in such models passes the consistency test we recently developed and which guarantees safe extrapolation in the supercritical region and safe VLE calculation in multi-component systems. The adjective translated means that a volume translation aimed at exactly reproducing the experimental saturated liquid volume at a reduced temperature of 0.8 was used. The key conclusion of this paper is that the tc-PR EoS is certainly the safest and the most accurate 3-parameter cubic EoS ever published. Indeed the average deviations over roughly 1000 compounds belonging to different chemical families are: ΔPsat