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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 495, Pages 69–73
DOI: https://doi.org/10.31857/S2686954320060144 (Mi danma137) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Mathematical modeling of vibrational combustion

E. V. Radkevichab, N. N. Yakovlevbc, O. A. Vasil'evade

a Lomonosov Moscow State University, Moscow, Russian Federation
b Turaevo Machine-building Design Bureau "Soyuz" PJSC, Lutkarino, Moscow oblast, Russian Federation
c N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences, Russian Academy of Sciences, Moscow, Russian Federation
d Moscow State University of Civil Engineering, Moscow, Russian Federation
e D. Mendeleev University of Chemical Technology of Russia, Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320060144
Abstract: A new model of laminar vibrational combustion is constructed relying on a thermodynamic analysis of the combustion process. Two combustion modes, detonation and deflagration, are modeled. The nature of their origin depending on the structure of the standard chemical potential is established, and a numerical experiment concerning the onset of these combustion modes is carried out. By controlling the velocity of the passive component at the inlet, the critical value of the standard chemical potential is identified at which there appear high-frequency vibrations leading to blow-up.
Keywords: thermodynamic analysis, mathematical models of combustion, local equilibrium, laminar combustion, high-frequency vibrations.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00524
This work was supported by the Russian Foundation for Basic Research, grant no. 18-01-00524.
Presented: V. V. Kozlov
Received: 01.10.2020
Revised: 01.10.2020
Accepted: 05.10.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 3, Pages 505–509
DOI: https://doi.org/10.1134/S1064562420060162
Bibliographic databases:
Document Type: Article
UDC: 517, 517.9, 536
Language: Russian
Citation: E. V. Radkevich, N. N. Yakovlev, O. A. Vasil'eva, “Mathematical modeling of vibrational combustion”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 69–73; Dokl. Math., 102:3 (2020), 505–509
Citation in format AMSBIB
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\paper Mathematical modeling of vibrational combustion
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\pages 69--73
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\crossref{https://doi.org/10.31857/S2686954320060144}
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\transl
\jour Dokl. Math.
\yr 2020
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\issue 3
\pages 505--509
\crossref{https://doi.org/10.1134/S1064562420060162}
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