Abstract:

An" instantaneous thin layer" model for transnormal heat or mass transfer is brought forward in this paper. For transnormal heat or mass transfer, there is an interfacx existing in the medium, which divides the object into two parts; the“instantaneous thin layer", which is a thin Layer region around the heat or mass disturbance position, and the other part of the object. Heat or mass transfer in the"thin layer"is governed by the transnormal law Cnon-Fourier or non-Fick law and that in the other part is still complied with the traditional law (Fourier or Fick law) approximatively. Heat or mass transfer at the boundary surface of the"thin layer"region is satisfied to the continuous boundary condition (i. e.the fourth kind boundary condition).An example of one-dimensional transnormal heat conduction, resulted from a rectangular pulsed energy sauce, is presented in this paper. The hyperbolic non-Fourier heat conduction equation is employed to describe this transnormal thermal case and the finite diference method (FDM)combined with M acCormack's predictorcorrector scheme is used to solve it. The correlativity of the thickness of the thermal"instantaneous thin layer" to the thermal relaxation time, thermal diffusivity and the thermal disturbing source(includling its strength and instantaneity is obtained. M oreover, according to the analogy of the mass and heat transfer, the correlativity of the thicknes of the mass "instantaneous thin layer"to the mass relaxation time, mass diffusivity and the mass disturbing source is obtained too.

Key words: hyperbolic heat and mass transfer, non Fourier heat conduction, non Fick mass transfer, MacCormack's predictor-corrector scheme