Thermal dispersion in porous media: one-equation model

In this work, the methods of volume average and multiple scale expansion are employed to obtain one macroscopic equation governing thermal dispersion in a rigid homogeneous porous medium. The structure of the real porous medium is described here by a spatially periodic model. The theoretical longitudinal thermal dispersion coefficient for a stratified system is compared with numerical data obtained from a random walk method, and good agreement is achieved.