This article is cited in 6 papers

Influence of natural convection on the heat explosion in porous media

K. Allali^a, Y. Joundy^a, A. Taik^a, V. Vol'pert<sup>b

a</sup> Department of Mathematics, University Hassan II, Casablanca, Mohammedia, Morocco
^b Institute Camille Jordan, University Lyon 1, Villeurbanne, 69622, France

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.

UDC: 544.45

Received: 08.10.2015
Revised: 15.12.2015

DOI: 10.15372/FGV20170202

 English version: Combustion, Explosion and Shock Waves, 2017, 53:2, 134–139

Bibliographic databases:

•