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 flux 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.