WAVE HEAT TRANSFER IN ANISOTROPIC HALF-SPACE UNDER THE ACTION OF A POINT EXPONENTIAL-TYPE HEAT SOURCE BASED ON THE WAVE PARABOLIC-TYPE EQUATION

Based on the generalized law of wave heat transfer, a wave equation of parabolic type is obtained, for which the problem of heating an anisotropic half-space under the action of a point nonstationary source of thermal energy of exponential character is posed and solved analytically. The anisotropic half-space has anisotropy of heat transfer in planes parallel to the plane bounding the body, whereas the body is isotropic in the direction of the axis perpendicular to these planes. Therefore, the isotherms moving in time have the form of elliptical paraboloids, at the fronts of which the fi rst-kind discontinuous changes are observed in both temperatures and heat fl uxes, which is a consequence of the wave nature of heat transfer. Numerical results are obtained and analyzed
   
Author:  V. F. Formalev ,  É. M. Kartashov ,  S. A. Kolesnik
Keywords:  wave heat transfer, anisotropy, relaxation time, parabolic-type wave equation, principal axes and components of the thermal conductivity tensor, nonstationary temperature field
Page:  366