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 TVT, 2015, Volume 53, Issue 3, Pages 356–366 (Mi tvt7863)

Thermophysical Properties of Materials

Description of heat capacity $C_v$ of simple liquids using a thermal equation of state, including regular and scaling parts

P. P. Bezverkhiia, V. G. Martynetsa, S. V. Stankusb

a Nikolaev Institute of Inorganic Chemistry, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b S.S. Kutateladze Institute of Thermophysics, Siberian Division of the Russian Academy of Sciences

Abstract: The $p,\rho,T$-data for $\mathrm{CO}_2$ are approximated in the ranges of $0 < \rho/\rho_c < 2$, $217 < T < 430$ K, and $0 < p \le 25$ MPa and for $\mathrm{SF}_6$ in the ranges of $0 < \rho/\rho_c < 2.5$, $225 < T < 340$ K, and $0 < p \le 10$ MPa using a new unified equation of state. In this equation, pressure p is an explicit function of $\rho$ and $T$. It includes a new regular part to approximate $p,\rho,T$-data in the liquid and gaseous regions of state outside the critical region, a singular part that is a scaling equation of state for the critical region, and a crossover function for combining these equations. The regular part consists of the sum of eight terms with eight constants, three of which are determined by the conditions at the critical point. The total number of system-dependent constants is fourteen, including the critical values of $p$, $\rho$, and $T$. In the scaling part of the equation of state, the critical exponents of the three-dimensional Ising model are used. The mean-square error of the description by pressure of the $p,\rho,T$-data for $\mathrm{CO}_2$ is $\pm0.63%$, and for the $p,\rho,T$-data obtained for $\mathrm{SF}_6$, it is $\pm0.70%$ over the entire range of gas and liquid states. Using the constants of the combined equation, heat capacity $C_v$ is calculated at isochores, isotherms, and a binodal, including those in the critical region. The calculation results describes the known experimental data of $C_v$ with an error of $\pm8%$.

DOI: https://doi.org/10.7868/S0040364415030047

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English version:
High Temperature, 2015, 53:3, 338–347

Bibliographic databases:

UDC: 536.44:536.63:536.71

Citation: P. P. Bezverkhii, V. G. Martynets, S. V. Stankus, “Description of heat capacity $C_v$ of simple liquids using a thermal equation of state, including regular and scaling parts”, TVT, 53:3 (2015), 356–366; High Temperature, 53:3 (2015), 338–347

Citation in format AMSBIB
\Bibitem{BezMarSta15} \by P.~P.~Bezverkhii, V.~G.~Martynets, S.~V.~Stankus \paper Description of heat capacity $C_v$ of simple liquids using a thermal equation of state, including regular and scaling parts \jour TVT \yr 2015 \vol 53 \issue 3 \pages 356--366 \mathnet{http://mi.mathnet.ru/tvt7863} \crossref{https://doi.org/10.7868/S0040364415030047} \elib{http://elibrary.ru/item.asp?id=23335365} \transl \jour High Temperature \yr 2015 \vol 53 \issue 3 \pages 338--347 \crossref{https://doi.org/10.1134/S0018151X15030050} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000356368500004} \elib{http://elibrary.ru/item.asp?id=23989051} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84935917237} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. A. B. Kaplun, A. B. Meshalkin, “Unified equation for calculating the viscosity coefficient of argon, nitrogen, and carbon dioxide”, High Temperature, 54:6 (2016), 808–814
2. P. P. Bezverkhii, V. G. Martynets, A. B. Kaplun, A. B. Meshalkin, “Calculation of $SF_6$ thermodynamic properties, including a critical region. Combined thermal equation of state with a small number of parameters”, High Temperature, 55:5 (2017), 693–701
3. A. B. Kaplun, A. B. Meshalkin, O. S. Dutova, “Unified low-parametrical equation used to calculate the viscosity coefficient of argon”, Thermophys. Aeromechanics, 24:2 (2017), 203–212
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