Abstract

An analytic solution of a Stefan-type problem with one non-stationary moving boundary of phase transformations simulating linear heat transfer in an inhomogeneous medium is considered. In simulating the heat and mass transfer process, the generalized heat equation is used, taking into account the finite rate of heat distribution Cq . This formulation of the problem adequately describes the thermal state of the materials during their high-temperature heating, where the pressure is taken into account because of the low rate of filtration of the pyrolysis gases. It is assumed that the braking pressure should exceed the ambient pressure by the hydraulic resistance of the porous residue. Comparison of numerical and analytical solutions is performed, both in the temperature distribution and in the motion velocity of the boundaries.

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