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<p>Multiparameter equations of state (MP EOSs) are available for many fluids. Despite their accuracy, they are not suitable for all applications. In contrast to MP&#xa0;EOSs, cubic equations offer a Van der Waals loop with a single inflection, which is suitable for modeling phase interfaces. They are also amiable for modeling mixtures. We present a method of tailoring a cubic equation of state to a MP&#xa0;EOS. Four temperature-dependent parameters of the previously developed Generalized 4-Parameter Cubic Equation of State (G4C&#xa0;EOS) are matched to the second virial coefficient, liquid density, compressibility, and Gibbs energy. Consequently, the G4C&#xa0;EOS is more accurate than conventional cubic equations of state. The liquid properties are matched along a “sew-on line”, which coincides with the saturated liquid density at lower reduced temperatures and bypasses the critical region. The method is tested for argon, propane, and water. The range of temperatures in which the parameters of G4C&#xa0;EOS can be determined (feasibility interval) covers the validity range of the reference MP&#xa0;EOS with exception for water, where the high-temperature limit is 754&#xa0;K or 909&#xa0;K depending on the variant of data used for the second virial coefficient. Parameters of the G4C&#xa0;EOS and ideal gas properties are tabulated in the Supplementary Information and an interpolation scheme is provided. All thermodynamic properties can be computed for the tested fluids with provided relations and tables. Since the method has been successfully applied to three fluids with very different molecular interactions, we assume that it is applicable to a wide range of fluids. It can also be used to other equations of state with four temperature-dependent parameters.</p>

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Method to Tailor a (Cubic) Four-Parameter Equation of State to a Reference Thermodynamic Property Formulation: Application to Water, Argon, and Propane

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Jan Hrubý,
  • Aleš Blahut

摘要

Multiparameter equations of state (MP EOSs) are available for many fluids. Despite their accuracy, they are not suitable for all applications. In contrast to MP EOSs, cubic equations offer a Van der Waals loop with a single inflection, which is suitable for modeling phase interfaces. They are also amiable for modeling mixtures. We present a method of tailoring a cubic equation of state to a MP EOS. Four temperature-dependent parameters of the previously developed Generalized 4-Parameter Cubic Equation of State (G4C EOS) are matched to the second virial coefficient, liquid density, compressibility, and Gibbs energy. Consequently, the G4C EOS is more accurate than conventional cubic equations of state. The liquid properties are matched along a “sew-on line”, which coincides with the saturated liquid density at lower reduced temperatures and bypasses the critical region. The method is tested for argon, propane, and water. The range of temperatures in which the parameters of G4C EOS can be determined (feasibility interval) covers the validity range of the reference MP EOS with exception for water, where the high-temperature limit is 754 K or 909 K depending on the variant of data used for the second virial coefficient. Parameters of the G4C EOS and ideal gas properties are tabulated in the Supplementary Information and an interpolation scheme is provided. All thermodynamic properties can be computed for the tested fluids with provided relations and tables. Since the method has been successfully applied to three fluids with very different molecular interactions, we assume that it is applicable to a wide range of fluids. It can also be used to other equations of state with four temperature-dependent parameters.