Аннотация:A two-dimensional non-stationary model of surface combustion for gas and solid phases in aporous medium is proposed with equations for the balance of heat and matter in both phases andthe gas filtration equation based on Darcy's law. At the initial time, the temperature gradient, gasvelocity and reagent concentration are set. On the basis of numerical solution of the governingequations for a given heat exchange with the external environment, the structures of spirally unwindingcombustion foci are obtained, which propagate along the boundary of the expandingparent foci. The structures of the thermal field are in the form of intermittent local heated andrelatively cold combustion zones, which in some cases have the shape of saw teeth. Such a focalstructure of thermal fields is a characteristic of combustion at the diffusion-kinetic limit of propagationof the reaction front. Namely, hot protrusions correspond to local zones of a diffusionlimitedreaction, and cold protuberances correspond to local zones of a kinetically-limited reaction.The resulting spiral form of spin combustion has an analogy with the formation of fingers inthe modern theory of filtration combustion.Key words: moderate temperatures, synthesis TiCDOI: http://doi.org/10.33257/PhChGD.22.3.938