Soret Effects on Non-Fourier Heat and Non-Fickian Mass Diffusion Transfer in a Slab

Abstract

In this article, non-Fickian and non-Fourier models were used for the rapid heat and mass transfer problem in a slab. The boundaries are convective and insulated sides, and the solution takes the Soret effect into consideration. The Laplace transform method is used to obtain a local-analytic solution in the transformed domain and then inverted to obtain the results in physical quantities. The results show that the temperature and concentration curves possess discontinuities when the relaxation-time in the non-Fourier heat conduction and non-Fickian mass diffusion problem is considered. These discontinuities are caused by wave propagation. Propagated waves are reflected at the insulated side and grow weaker as time passes. When considering the Soret effect for mass transfer, the intensity of concentration rise in the discontinuities will increase.

The authors are indebted to the referees for their valuable comments and, thus, improvement of this article.