Mathematical modeling of heat transfer in anisotropic plate with internal sinks

Abstract

In this paper, based on the obtained for the first time analytical solution to the problem of heat conduction in an anisotropic plate with sinks of thermal energy, unsteady heat transfer under the influence of heat fluxes distributed along its boundaries is investigated. Using the obtained solution, the temperature field distributions were studied subject to changes in the components and the orientation angles of the principal axes of the thermal conductivity tensor. It was shown that in the presence of thermal energy sinks inside the plate, temperature fields are localized and limited by limiting isotherms as the time increases. This makes it practically possible to concentrate the high-temperature region in the vicinity of boundary heat fluxes, leaving the peripheral sections of the plate cold.In this paper, based on the obtained for the first time analytical solution to the problem of heat conduction in an anisotropic plate with sinks of thermal energy, unsteady heat transfer under the influence of heat fluxes distributed along its boundaries is investigated. Using the obtained solution, the temperature field distributions were studied subject to changes in the components and the orientation angles of the principal axes of the thermal conductivity tensor. It was shown that in the presence of thermal energy sinks inside the plate, temperature fields are localized and limited by limiting isotherms as the time increases. This makes it practically possible to concentrate the high-temperature region in the vicinity of boundary heat fluxes, leaving the peripheral sections of the plate cold.