A Similarity Solution to the Heat Transfer Problem for an Isotropic Half-Space Featuring a Film-Coated Moving Boundary

The study considers the problem of determining a temperature field in an isotropic half-space the boundary of which moves according to a given law and features a film coating. We investigated unsteady heat transfer in a system consisting of a solid, a coating and a gas, with both the heat transfer coefficient and ambient temperature being time-dependent. We determine sufficient conditions meeting which ensures the possibility of self-similar heat transfer process taking place in the system under consideration. We qualitatively investigated physical properties of the self-similar process under study. We provide a theoretical validation of implementing a thermostatting mode in the moving boundary of the object investigated

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