Diffusive Mass Transport in Periodic Boundary Conditions

Abstract

This paper presents approximate analytical solutions for mass transport in porous materials under periodic boundary conditions. The influence of mass concentration gradients and temperature gradients (Soret effect) on mass flux is accounted. The significance of this study is double‐fold: the solutions provide an approach not only to predict mass and temperature distribution but also to evaluate the importance of the transfer coefficients in mass transport analysis; and the solutions serve to gauge the accuracy of any numerical simulation methods that can be developed for more complex cases.