Melting conditions for porous heat-generating device with active cooling: approximate analytical solution

In thermal engineering applications (for example, when studying the operating conditions of thermal storage and electrochemical devices), problems often arise related to the phase transition front propagation in thermally stressed elements. This paper considers the solution of a simplified problem of heating element flow cooling. To this end, analytical estimates were obtained for the critical values of heat release intensity corresponding to the onset of melting and complete melting of the porous sample. The results are compared with numerical calculations.