Analysis of dispersion effects and non-thermal equilibrium, non-Darcian, variable porosity incompressible flow through porous media

The present work involves the numerical simulation of forced convective incompressible flow through porous media, and the associated transport processes. A full general model for the momentum equation was employed. The mathematical model for energy transport was based on the two-phase equation model which assumes no local thermal equilibrium between the fluid and the solid phases. The investigation aimed at a comprehensive analysis of the influence of a variety of effects such as the inertial effects, boundary effects, porosity variation effects, thermal dispersion effects, validity of local thermal equilibrium assumption and two dimensionality effects on the transport processes in porous media. The results presented in this work provide detailed yet readily accessible error maps for assessing the importance of various simplifying assumptions which are commonly used by researchers.