Temperature Field of Solid Body with Multi-layer Coated Cylindrical Channel under Non-stationary Heat Exchange

An analytical method to solve the heat conduction problem for the unbounded isotropic solid body with a cylindrical channel, which is filled with the high-temperature gas and has the multi-layer coating, is developed for non-stationary modes of heat exchange in the system under consideration. The method is based on the idea of splitting the kernel of the generalized integral Weber’s transformation applied for a spatial variable.