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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 509, Pages 60–64
DOI: https://doi.org/10.31857/S2686954323700108 (Mi danma362) 		 
MATHEMATICS

Thermal explosion as a resonance of the combustion process

E. V. Radkevicha, O. A. Vasil'evabc, M. I. Sidorovd, M. E. Stavrovskyd

a Lomonosov Moscow State University, Moscow, Russia
b Moscow State University of Civil Engineering, Moscow, Russia
c Mendeleev University of Chemical Technology of Russia, Moscow, Russia
d Engineering Center for Mobile Solutions, "MIREA – Russian Technological University", Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954323700108
Abstract: A new model of a laminar combustion process is constructed based on its thermodynamic analysis. Under controlled growth of temperature at the inlet to the combustion chamber, depending on the structure of the standard chemical potential, high-frequency oscillations of the thermal explosion resonance occur in the model. Resonance modes in the case of heat pumping are modeled, the nature of their origin is established depending on the structure of the standard chemical potential, and numerical experiments exhibiting these modes are presented.
Keywords: thermodynamic analysis, mathematical models of combustion process, local equilibrium, laminar combustion process, high-frequency oscillations.
Presented: V. V. Kozlov
Received: 17.01.2022
Revised: 30.07.2022
Accepted: 25.12.2022
English version:
Doklady Mathematics, 2023, Volume 107, Issue 1, Pages 49–52
DOI: https://doi.org/10.1134/S1064562423700497
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: E. V. Radkevich, O. A. Vasil'eva, M. I. Sidorov, M. E. Stavrovsky, “Thermal explosion as a resonance of the combustion process”, Dokl. RAN. Math. Inf. Proc. Upr., 509 (2023), 60–64; Dokl. Math., 107:1 (2023), 49–52
Citation in format AMSBIB
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\by E.~V.~Radkevich, O.~A.~Vasil'eva, M.~I.~Sidorov, M.~E.~Stavrovsky
\paper Thermal explosion as a resonance of the combustion process
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 509
\pages 60--64
\mathnet{http://mi.mathnet.ru/danma362}
\crossref{https://doi.org/10.31857/S2686954323700108}
\elib{https://elibrary.ru/item.asp?id=50436204}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue 1
\pages 49--52
\crossref{https://doi.org/10.1134/S1064562423700497}
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