Mathematical simulation of heat transfer processes in the region with moving boundary under conditions of nonstationary heat exchange with surroundings

The analytical method is developed for solving the 3D problems of nonstationary heat conductivity for the region with the uniformly moving boundary, and the parameters of heat exchange with the surroundings varying in time. The method is based on ail idea of splitting the obtained generalisation of the singular integral Fourier transformation on a polydimensional variable. Theoretical results are used for mathematical simulation of heat transfer processes in thermally loaded half-space with the uniformly moving boundary under conditions of heat exchange with surroundings described by Newton’s law.