Numerical simulation of the effect of thermal dispersion on forced convection in a circular duct partly filled with a Brinkman-Forchheimer porous medium

A numerical simulation of the fully developed forced convection in a circul ar duct partly filled with a fluid saturated porous medium is presented. Th e Brinkman-Forchheimer-extended Darcy equation is used to describe the flui d flow in the porous region. The energy equation for the porous region acco unts for the effect of thermal dispersion. The dependence of the Nusselt nu mber on a number of parameters, such as the Reynolds number, the Darcy numb er, the Forchheimer coefficient, as well as the thickness of the porous reg ion is investigated. The numerical results obtained in this research are in agreement with published experimental data.