Fundamental equation of state of argon, satisfying the scaling hypothesis and working in the region of high temperatures and pressures

Рыков, С. В.; Рыков, В. А.; Kudryavtseva, I.V.; Sverdlov, A.V.

doi:10.20948/mathmontis-2020-47-11

Cited by 4 publications

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“…It represents the phonon contribution to equations of state of solids as an interpolation between limiting cases of low and high temperatures . Equations of state of matter are necessary for analysis and numerical simulation of physical phenomena under extreme conditions of high temperatures and high pressures [19,[26][27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Analytic approximation of the Debye function

Khishchenko¹

2020

MathMon

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An expression in a closed form is proposed for the approximation of the Debyefunction used in thermodynamic models of solids. This expression defines an analytic functionthat has the same limiting behavior as the Debye function at low and high temperatures. Theapproximation gives the maximum relative deviation from the value of the Debye function lessthan 0.001. The proposed expression can be useful in the equations of state of solids in a widetemperature range.

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Section: Introductionmentioning

confidence: 99%

Analytic approximation of the Debye function

Khishchenko¹

2020

MathMon

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Methodology for Constructing the Equation of State and Thermodynamic Tables for a New Generation Refrigerant

et al. 2021

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Fundamental equation of state developed on basis of Migdal’s phenomenological theory of critical point

Рыков

Kudryavtseva

Рыков

et al. 2020

J. Phys.: Conf. Ser.

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In this work a fundamental equation of state (FEoS) with account taken of requirements of the scale theory of the critical point has been developed. The behavior of the FEOS in the asymptotic vicinity of the critical point is determined by the characteristics of the scaling function a(x) of the Helmholtz scale free energy F. The structure of the function a(x) is calculated on the basis of Migdal’s phenomenological theory and the hypothesis about the identical behavior of the isothermal compressibility coefficient at the critical and near-critical isohors near the critical point (Benedek’s hypothesis). The parameters of the singular component of the FEOS are calculated using the similarity theory. The proposed FEoS has been approved on the example of description of equilibrium properties of the refrigerating agent R1234yf in the range of state parameters: by a temperature from 220 K to 440 K and by pressure up to 40 MPa. The obtained results are discussed.

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Fundamental equation of state of argon, satisfying the scaling hypothesis and working in the region of high temperatures and pressures

Cited by 4 publications

References 0 publications

Analytic approximation of the Debye function

Analytic approximation of the Debye function

Methodology for Constructing the Equation of State and Thermodynamic Tables for a New Generation Refrigerant

Fundamental equation of state developed on basis of Migdal’s phenomenological theory of critical point

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