Abstract: With the first boundary condition of one-dimensional porous media in view, this paper seeks to solve the general differential equations of heat and mass transfer under the condition of highly intense and rapid drying by taking into account of both non-Fourier effect and non-Fick effect at the same time. The coupling phenomena between non-Fourier heat transfer and non-Fick mass transfer in wet porous media is also investigated. Thus it helps to establish the theoretical basis for correct confirmation and control of temperature field and moisture field in wet porous media.

Key words: heat relaxation, mass relaxation, heat and mass coupling, wet porous media