SIMULATION OF NONEQUILIBRIUM HEAT TRANSFER IN AN ANISOTROPIC SEMISPACE UNDER THE ACTION OF A POINT HEAT SOURCE

Based on a novel analytical solution of the problem of wave heat transfer in an anisotropic semispace under the action of a nonstationary point source of thermal energy, a study was made of a nonequilibrium thermal state of this space originating as a result of its delay (for the time of heat fl ux density relaxation) from the temperature gradient on the semispace surface. Based on the extended Vernotte–Cattaneo–Luikov hypothesis, a new law of wave heat transfer has been formulated having the form of the Fourier law, and a wave equation has been derived for heat transfer of parabolic type with a lagging argument in time equal to the relaxation time derived.
   
Author:  V. F. Formalev, É. M. Kartashov, and S. A. Kolesnik
Keywords:  anisotropic semispace, wave heat transfer, relaxation time, nonstationary temperature fi eld, boundary condition of the second type, thermal conductivity tensor
Page:  1537