Flow and heat transfer in a porous medium saturated by a micropolar fluid between parallel permeable disks

Abstract

In this paper, the flow and heat transfer in a porous medium saturated by a micropolar fluid between two parallel permeable disks with uniform suction or injection through the surface of the disks is studied analytically using differential transform methods. It is assumed that the Darcy-Brinkman model is considered for the flow through the porous medium. The governing nonlinear partial differential equations of motion are transformed into a dimensionless form through von Karman's similarity transformation. The approximate solutions of these equations are obtained in the form of series with easily computable terms using differential transformations. The effects of the Reynolds number, the Darcy number, the vortex viscosity parameter, and the Prandtl number on the flow field and temperature distributions are determined and discussed. The results show that for different values of the Darcy number and vortex viscosity parameter, the shear stress is more for suction velocity and less for injection velocity, respectively. It is also found that the rate of heat transfer increases as Reynolds number increases for both suction and injection parameter. As the Darcy number and vortex viscosity parameter increases, the rate of heat transfer decreases for injection and increases for suction. © 2014 by Begell House, Inc.