ANALYTICAL STUDY ON HEAT TRANSFER IN ANISOTROPIC SPACE WITH THERMAL CONDUCTIVITY TENSOR COMPONENTS DEPENDING ON TEMPERATURE.

Within this work, based on the built analytical solution of heat transfer problem in anisotropic bodies, the thermal conductivity tensor components depending on temperature, the heat transfer is investigated under influence of a point heat source, inside a body or on a plane body surface. It turned out that heat transfer has a wave-like behavior with the presence of temperature front, where derivatives with respect to time and spatial variables are broken but they are continuous with respect to temperatures and heat flux. Besides, the heat wavefronts are ellipsoids in space and plane ellipsoids depending on time. Coordinates of heat wave velocity can be calculated, at that, velocities of front points are different in different directions. [ABSTRACT FROM AUTHOR]