Extrapolation of IAPWS-IF97 data: The liquid and gas densities on the saturation line near the critical point of H2O

• Main Authors: Ochkov, V F, Rykov, V A, Rykov, S V, Ustyuzhanin, E E, Znamensky, B E
• Format: Conference Proceeding
• Language: English
• Subjects: Critical phenomena; Critical point; Critical temperature; Equations of state; Extrapolation; Gas density; Mathematical models; Physics; Saturation; Scaling
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/946/1/012119

An analysis of some literary sources is made in the work. These sources describe the liquid density (ρl) and the gas density (ρg), which are related to the saturation line near the critical point of H2O. In the analysis, we have considered analytical forms of (i) an equation of state (EOS) that is included in a formulation IF95 and recommended by IAPWS and (ii) ρl(T) and ρg(T) equations among them Anisimov models they are valid in a narrow temperature interval. We have analyzed ρl, ρg, T data included in tables IF97. A combined scaling model is elaborated in the work. This model has a modern structure and meets the scaling theory of critical phenomena. We have got ρl(T) and ρg(T) equations on the basis of the combined scaling model. Our analysis shows that these equations satisfactorily reproduce ρl, ρg, T data, which are related to tables IF97 and valid in a wide temperature interval. These equations have been used to generate ρl, ρg, T data and to compare them with the results, which are determined the basis of analytical forms including EOS IF95. Numerical data are got in some extrapolation region near the critical temperature.