title: Modeling of heat explosion with convection.
abstract: The work is devoted to numerical simulations of the interaction of heat explosion with natural convection. The model consists of the heat equation with a nonlinear source term describing heat production due to an exothermic chemical reaction coupled with the Navier-Stokes equations under the Boussinesq approximation. We show how complex regimes appear through successive bifurcations leading from a stable stationary temperature distribution without convection to a stationary symmetric convective solution, stationary asymmetric convection, periodic in time oscillations, and finally aperiodic oscillations. A simplified model problem is suggested. It describes the main features of solutions of the complete problem.
authors.affiliation: MAPLY-UMR 5585, Batiment Doyen Jean Braconnier, 21 Avenue Claude Bernard, Villeurbanne 69622, France.
authors.forename: Michael
authors.initials: M
authors.lastname: Belk
authors.forename: Vitaly
authors.initials: V
authors.lastname: Volpert