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Fizika Goreniya i Vzryva, 2017, Volume 53, Issue 2, Pages 15–21
DOI: https://doi.org/10.15372/FGV20170202 (Mi fgv390) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Influence of natural convection on the heat explosion in porous media

K. Allalia, Y. Joundya, A. Taika, V. Vol'pertb

a Department of Mathematics, University Hassan II, Casablanca, Mohammedia, Morocco
b Institute Camille Jordan, University Lyon 1, Villeurbanne, 69622, France
Full-text PDF (342 kB) Citations (5)
DOI: https://doi.org/10.15372/FGV20170202
Abstract: The interaction between natural convection and the heat explosion in porous media is studied. The model consists of a nonlinear heat equation coupled with the Darcy equation for the motion of an incompressible fluid in a porous medium. Numerical simulations are performed using the alternate direction finite difference method and the fast Fourier transform method. A complex behavior of solutions is observed, including periodic and aperiodic oscillations and an oscillating heat explosion. It is shown that convection can decrease the risk of the explosion due to additional mixing and heat loss, but it can also facilitate the explosion due to temperature oscillations arising as a result of instability of stationary convective regimes.
Keywords: convective heat explosion, Darcy law, porous medium, numerical simulations.
Received: 08.10.2015
Revised: 15.12.2015
English version:
Combustion, Explosion and Shock Waves, 2017, Volume 53, Issue 2, Pages 134–139
DOI: https://doi.org/10.1134/S0010508217020022
Bibliographic databases:
Document Type: Article
UDC: 544.45
Language: Russian
Citation: K. Allali, Y. Joundy, A. Taik, V. Vol'pert, “Influence of natural convection on the heat explosion in porous media”, Fizika Goreniya i Vzryva, 53:2 (2017), 15–21; Combustion, Explosion and Shock Waves, 53:2 (2017), 134–139
Citation in format AMSBIB
\Bibitem{AllJouTai17}
\by K.~Allali, Y.~Joundy, A.~Taik, V.~Vol'pert
\paper Influence of natural convection on the heat explosion in porous media
\jour Fizika Goreniya i Vzryva
\yr 2017
\vol 53
\issue 2
\pages 15--21
\mathnet{http://mi.mathnet.ru/fgv390}
\crossref{https://doi.org/10.15372/FGV20170202}
\elib{https://elibrary.ru/item.asp?id=28799825}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2017
\vol 53
\issue 2
\pages 134--139
\crossref{https://doi.org/10.1134/S0010508217020022}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Fizika Goreniya i Vzryva Fizika Goreniya i Vzryva
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