Investigation of the forced convection heat transfer in the presence of radiation in metal foams using HPM

Forced convection heat transfer in metal foams in the presence of radiation heat transfer is studied using the homotopy perturbation method (HPM). To see wall effects, Darcy-Brinkman model for the flow in porous media is used. A constant heat flux is imposed at the wall and the radiation heat transfer is modeled by a temperature-dependent conductivity. In the present study the case of conjugate convection and radiation heat transfer is analyzed by a semi-analytical approach for the first time. Effects of the radiation parameters (λ, Tr) and porous medium shape parameter (s) on the Nusselt number and dimensionless temperature profile are investigated. Moreover, a discussion on the accuracy and limitations of the HPM method will be presented.