Mathematical of the process of heat exchange with phase transition

Abstract

Here we consider the application of degenerate hypergeometric transformations method to solution of one non-stationary problem of heat exchange with phase transformation on the example of freezing process of some continuum. The analytical problem solution is received under special boundary conditions. In the course of solving the movement law of two phase interface is nucleus requires self-conjugacy that allows using of expansion method by eigenfunctions. Phase transition, moving boundaries, problem of stefan.