Heat transfer under conditions of phase transitions in bodies with anisotropic properties

Abstract

An investigation is made of heat transfer in anisotropic bodies under conditions of phase transformations using the numerical solution of multidimensional unsteady-state problems of the Stefan type. A procedure of solving such problems is suggested. It is demonstrated that the characteristics of thermal conductivity tensors of both phases affect significantly both the temperature fields and the shape and velocity of motion of the boundary of phase transformations. Numerous results are analyzed of the effect which is made on the thermal state of anisotropic body by the orientation of principal axes and principal coefficients of thermal conductivity tensors of both phases.

Оn Non-Stationary Heat Transfer in Anisotropic Bodies With General Anisotropy and Given Distributed Heat Sources

“…Some monographs [3,4,5,6] and journal articles [7,8,9,10,11] in this area have been published by the authors of this work in recent years. The problems of anisotropic thermal conduction in semi-infinite anisotropic regions with moving boundary have been solved analytically in [12,13].…”