Simulation of the hydrodynamic instability of a filtration combustion wave in a porous medium

This paper presents a two-dimensional model of the propagation of a filtration combustion wave in a flat channel with cocurrent flow of a gas containing an oxidizer. It is shown that the increase in the permeability of the porous medium with fuel burnup leads to instability of the flat front and the formation of a structure called a finger. The reasons for the occurrence of the finger are explained, and the dependences of its most important characteristics on the permeability ratio of the initial fuel and combustion products, the specific heat of the injected gas and the width of the channel in which the filtration combustion occurs are determined.