One-dimensional model of steady filtration combustion front

The stability of the front of a steady combustion wave propagating through a porous medium was examined. It was assumed that the inflow of the gaseous reactant from outside into the reaction zone is determined by the chemical interaction mechanism. Changes in the mass of the products and in the thermophysical parameters of the condensed component during combustion were taken into account. The wave structure arising during the exothermic conversion of such systems was studied, the boundary of steady combustion was determined, and the character of loss of stability with respect to one-dimensional spatial perturbations was examined.