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Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, Issue 2, Pages 36–45 (Mi vspui119)  

This article is cited in 1 scientific paper (total in 1 paper)

Applied mathematics

The analysis of the approaches to the modeling of thermodynamic processes in gas flow at hyperpressure

N. N. Ermolaeva, G. I. Kurbatova

Saint-Petersburg State University

Abstract: The paper presents the analysis of the approaches to the modeling of thermodynamic processes in different mathematical models of gas transmission. It is shown how simplifications of mathematical models can result in principally wrong inferences about temperature distribution in a gas flow as well as it is proved that full neglecting of inertial forces is inadmissible even if Mach's number is very small. Explicit dependences of internal energy and specific heat at constant volume on temperature and gas density are found for the two-parameter Redlich–Kwong equation of state. Bibliogr. 16.

Keywords: hyperpressure, throttling effect, gas-pipelines, analysis the thermodynamic model.

Full text: PDF file (229 kB)
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UDC: 532.517+532.542
Received: December 20, 2012

Citation: N. N. Ermolaeva, G. I. Kurbatova, “The analysis of the approaches to the modeling of thermodynamic processes in gas flow at hyperpressure”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 2, 36–45

Citation in format AMSBIB
\Bibitem{ErmKur13}
\by N.~N.~Ermolaeva, G.~I.~Kurbatova
\paper The analysis of the approaches to the modeling of thermodynamic processes in gas flow at hyperpressure
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2013
\issue 2
\pages 36--45
\mathnet{http://mi.mathnet.ru/vspui119}


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    This publication is cited in the following articles:
    1. V. A. Pavlovskii, A. L. Chistov, “Modelirovanie dinamiki zapolneniya rezervuara realnym gazom”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 2014, no. 3, 46–57  mathnet
  • Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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