Realizability of the Mode of Temperature Control of the Boundary of an Isotropic Half-Space with a Film Coating

We stated the problem of determining the temperature field of an isotropic half-space with a film-coated surface while undergoing heat exchange with the environment. A non-steady-state heat exchange mode with time-varying heat transfer coefficient and ambient temperature is researched. We identified sufficient conditions, the fulfilment of which makes it possible to implement a self-similar heat exchange process in the analyzed system. The physical properties of the studied self-similar process are qualitatively investigated and we established its specific features. The possibility of realizing the mode of temperature control of the boundary of an isotropic half-space with a film coating is theoretically substantiated in case of non-steady-state heat exchange with the environment.