Teplofizika vysokikh temperatur
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Teplofizika vysokikh temperatur, 2017, Volume 55, Issue 5, Pages 706–715
DOI: https://doi.org/10.7868/S0040364417040032
(Mi tvt10299)
 

This article is cited in 12 scientific papers (total in 12 papers)

Thermophysical Properties of Materials

Calculation of $\rm SF_6$ thermodynamic properties, including a critical region. Combined thermal equation of state with a small number of parameters

P. P. Bezverkhiia, V. G. Martynetsa, A. B. Kaplunb, A. B. Meshalkinb

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
References:
Abstract: A new unified combined equation of the state of liquid, gas, and fluid with a small number of adjustable constants is considered. Using this equation, tables of sulfur hexafluoride $\rm SF_6$ thermodynamic properties are compiled and proposed as standard reference data. The equation of state has the form of an explicit dependence of $p = p(\rho, T)$ and does the following: transfers the thermal and caloric properties of $\rm SF_6$ in the regular component of the thermodynamic surface with the accuracy of the experiment; includes critical exponents $\beta$, $\alpha$, and $\gamma$, taken in agreement with the three-dimensional Ising model; and corresponds to the relations of thermodynamics and the scale theory for properties in the critical region. The adjustable constants are obtained by approximating the $p, \rho, T$-data of $\rm SF_6$ using a combined equation of state in the ranges of $224 \le T \le 623$ K, $0.1 \le p \le 30$ MPa, and $8 \le \rho \le 1842$ kg/m$^3$. It includes a new regular component for approximating $p, \rho, T$-data in the liquid and gas regions of states outside the critical region, four of the $13$ constants that are determined by the conditions at the critical and triple points, the singular component that is a scale equation (six constants) in explicit form for the critical region, and a new crossover function for combining these equations. The total number of system-dependent constants is $21$, including parameters of the critical point. The root-mean-square error in the description of $p, \rho, T$-data of $\rm SF_6$ by pressure is $1.05\%$ in the entire range of gas and liquid states; the average absolute deviation is $0.51\%$.
Funding agency Grant number
Russian Foundation for Basic Research 15-08-01072-а
15-08-03443-a
The work is supported by the Russian Foundation for Basic Research, project nos. 15-08-01072-a and 15-08-03443-a.
Received: 18.02.2016
Accepted: 14.06.2016
English version:
High Temperature, 2017, Volume 55, Issue 5, Pages 693–701
DOI: https://doi.org/10.1134/S0018151X17040034
Bibliographic databases:
Document Type: Article
UDC: 536.44: 536.63: 536.71
Language: Russian
Citation: P. P. Bezverkhii, V. G. Martynets, A. B. Kaplun, A. B. Meshalkin, “Calculation of $\rm SF_6$ thermodynamic properties, including a critical region. Combined thermal equation of state with a small number of parameters”, TVT, 55:5 (2017), 706–715; High Temperature, 55:5 (2017), 693–701
Citation in format AMSBIB
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\paper Calculation of $\rm SF_6$ thermodynamic properties, including a critical region. Combined thermal equation of state with a small number of parameters
\jour TVT
\yr 2017
\vol 55
\issue 5
\pages 706--715
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\crossref{https://doi.org/10.7868/S0040364417040032}
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\transl
\jour High Temperature
\yr 2017
\vol 55
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\pages 693--701
\crossref{https://doi.org/10.1134/S0018151X17040034}
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  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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