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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2014, Volume 7, Issue 3, Pages 40–49 (Mi vyuru143)  

This article is cited in 5 scientific papers (total in 5 papers)

Mathematical Modelling

A Mathematical Model of Gas Suspension with Chemical Reactions in the Pair-Interaction Approximation

Yu. M. Kovalev, E. E. Pigasov

South Ural State University, Chelyabinsk, Russian Federation

Abstract: In this paper we propose a mathematical model describing the transition of solid unitary fuel from combustion to explosion in a two-phase heterogeneous gas-solid environment. The model is invariant under the Galilean transformations. It turned out that the existing mathematical models of this phenomenon lack invariance under the Galilean transformations. We studied in detail the reasons making the conservation laws not invariant and eliminated them in the model we propose.

Keywords: mathematical model; invariance; multi-component mixture; heterogeneous environments.

DOI: https://doi.org/10.14529/mmp140304

Full text: PDF file (596 kB)
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UDC: 532.529
MSC: 76L05
Received: 01.06.2014

Citation: Yu. M. Kovalev, E. E. Pigasov, “A Mathematical Model of Gas Suspension with Chemical Reactions in the Pair-Interaction Approximation”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:3 (2014), 40–49

Citation in format AMSBIB
\Bibitem{KovPig14}
\by Yu.~M.~Kovalev, E.~E.~Pigasov
\paper A Mathematical Model of Gas Suspension with Chemical Reactions in the Pair-Interaction Approximation
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2014
\vol 7
\issue 3
\pages 40--49
\mathnet{http://mi.mathnet.ru/vyuru143}
\crossref{https://doi.org/10.14529/mmp140304}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. D. S. Grischenko, Yu. M. Kovalev, E. A. Kovaleva, “Modifikatsiya metoda krupnykh chastits dlya issledovaniya techenii gazovzvesei”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 8:2 (2015), 36–42  mathnet  crossref  elib
    2. Yu. M. Kovalev, E. A. Kovaleva, E. E. Pigasov, “Analiz nekotorykh modifikatsii metoda krupnykh chastits na primere issledovaniya techenii gazovzvesei”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 7:3 (2015), 71–77  mathnet  elib
    3. P. E. Belyaev, N. L. Klinacheva, “Vliyanie ekraniruyuschego sloya gazovzvesi na silovoe vozdeistvie udarnoi volny na zhestkuyu stenku”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 8:4 (2016), 49–55  mathnet  crossref  elib
    4. N. L. Klinacheva, Yu. M. Kovalev, “Vzaimodeistvie sfericheskikh udarnykh voln s pripoverkhnostnym geterogennym sloem s khimicheski aktivnoi gazovoi fazoi”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 11:3 (2018), 62–71  mathnet  crossref  elib
    5. Yu. M. Kovalev, F. G. Magazov, E. S. Shestakovskaya, “Ravnovesnaya matematicheskaya model mnogokomponentnykh geterogennykh sred”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 10:4 (2018), 49–57  mathnet  crossref  elib
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