Numerical simulations of heat explosion with convection in porous media

Karam Allali (1) , Fouad Bikany (2) , Ahmed Taik (2) , Vitaly Volpert (3, 4)

1 Département de Mathématiques [Mohammedia]
2 MAC - Laboratoire modélisation, analyse numérique et calcul scientifique
3 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
4 MMCS - Modélisation mathématique, calcul scientifique

In this article, we study the interaction between natural convection and heat explosion in porous media. The model consists of the heat equation with a nonlinear source term describing heat production due to an exothermic chemical reaction coupled with the Darcy law. Stationary and oscillating convection regimes and oscillating heat explosion are observed. The models with quasi-stationary and unstationary Darcy equation are compared.

Mots clés: Numerical simulations; Natural convection; Heat explosion; Porous medium

Domaines: Equations aux dérivées partielles [math.AP]

Karam Allali, Fouad Bikany, Ahmed Taik, Vitaly Volpert. Numerical simulations of heat explosion with convection in porous media. Combustion Science and Technology, 2015, ⟨10.1080/00102202.2014.948619⟩. ⟨hal-01238489⟩