Prediction of Thermodynamic Properties of CO₂ by Cubic and Multiparameter Equations of State for Fluid Dynamics Applications

Abstract

This paper makes a comprehensive analysis of equations of state (EOS) for the prediction of thermodynamic properties of CO2 which play a key role in fluid dynamics calculations: molar volume, throttling temperature, inversion curve, and velocity of sound. The cubic EOS Peng–Robinson and Soave–Redlich–Kwong are compared with the multiparameter Huang and Sterner and Pitzer EOS. We further propose a method to compute the throttling temperature, which relies on the residual property, unlike the usual practice which solely computes the Joule-Thomson coefficient or the inversion curve. The predicted properties are compared with experimental data from literature to verify the best EOS at different temperatures and pressure conditions for each investigated property. The Huang EOS is the best at predicting the molar volume, especially in supercritical conditions, and the inversion curve. The cubic EOS predict the throttling temperature with greater accuracy. The Sterner and Pitzer EOS outperforms the others when predicting the velocity of sound, especially in conditions near and above the critical point. These multiparameter EOS seem to balance the trade-off between complexity and accuracy. These findings might be useful for designing and monitoring processes that use CO2 over a wide range of temperature and pressure conditions.

The Modification of the Martin-Hou Equation of State and its application in Liquid-phase State

“…Nowadays, the main investigation of the M-H EOS has changed from the theory's exploration to the applications in different cases. First and foremost, the M-H EOS is widely applied as a specific EOS for a given substance, such as NH 3 [19], H 2 O [20,21], CO 2 [22], natural gas [23], substances in refrigeration industry [24][25][26] and so on. Second, the M-H EOS is extended to achieve diversified applications [27][28][29][30][31][32], e.g., the crossover multiparameter EOS [31,32].…”

Numerical investigation of non-equilibrium condensation of wet stem.

“…The use and study of other equations of state which are capable of predicting more accurately non-ideal gas behavior has been the subject of research in recent years in papersKluwick (2017);Pini et al (2017) and a dissertation byNederstigt (2017), just to name a few examples.Non-ideal gas behavior, as well as the different models available, have been the subject of great interest in recent years. The interested reader may refer, for instance, toLeal et al (2019) for a comprehensive discussion on multi-parameters EoS and toAursand et al (2017) for a discussion on cubic EoS, which is the case of the PRSV EoS.…”