Characteristics of thermal explosion in a porous layer with diffusion of a gaseous reactant

In the context of N. N. Semenov's stationary theory, a two-temperature model is used to analyze the thermal explosion of a porous layer with diffusion of a gaseous oxidizer into it with allowance for the oxidizer distribution inside the layer. The limit of thermal explosion, the maximal preexplosion temperature rise, and distribution of the gaseous-reactant concentration are determined. The behavior of the gas and framework temperatures for various regimes of the process are studied numerically. The dependence of explosion time on diffusion and burn-up of the gaseous reactant is analyzed.