Convective Flow and Heat Transfer in an Inclined Composite Porous Medium

Abstract

An analytical study of non-Darcian convective flow and heat transfer in an inclined composite porous medium is performed. The flow is modeled using the Darcy-Lapwood-Brinkman equation. The viscous and Darcy dissipation terms are included in the energy equation. The governing equations are coupled and nonlinear because of the inclusion of dissipation terms and buoyancy force. The equations are solved using a straightforward perturbation method. The effects of various parameters such as porous parameter, inclination angle, Grashoff number, ratios of heights, permeabilities, and thermal conductivities are discussed.