Heat Explosion In A Two-Phase Medium

Abstract

Introduction In this work we study heat explosion in a heterogeneous medium consisting of reacting particles surrounded by a gas. Chemical reaction can occur inside the particles or between the particles and the gas, but it does not occur inside the gaseous phase. The particles are sufficiently small and there is no heat conduction in this phase. The gas is heat conducting and there is heat exchange between the two phases. Under the gravity conditions the temperature distribution can be influenced by convection. Convective motion of particles is determined by the gas motion in the sense that both phases have the same velocity field. We consider the two-temperature model in terms of dimensionless variables oe ` @` 1 @t + (ur)` 1 ' = ke Z` 1 \Gamma ff(` 1 \Gamma ` 2 );&lt