Abstract
A mathematical model of the process of formation of a temperature field in the plane wall — thermoactive lining — heatproof coating system, the outer surface of which is under the influence of an axisymmetric heat flux with Gaussian-type intensity, is suggested as the base for developing a hierarchy of simplified analogs. To determine the temperature field studied, a finite integral transformation for a three-layer region with specific conjugation conditions has been developed.
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