Non-Darcian convection flow in a circular duct partially filled with porous medium

The flow and heat transfer in a circular duct bounded by a porous bed is considered. The entire flow region is divided into two zones. The clean fluid region is described by the Navier-Stokes equations, while the Brinkman-extended Darcy model is used in the flow through a porous bed. In either zone the momentum and temperature equations are coupled. In order to obtain a better insight into this complex problem, the Galerkin finite element analysis with quadratic polynomial approximations is applied. The behavior of the velocity and temperature is analyzed. The shear stress and the rate of heat transfer are also obtained for various governing parameters. © 2009 Springer Science+Business Media, Inc.