NATURAL CONVECTION OF A NON-NEWTONIAN FLUID IN A VERTICAL CHANNEL WITH WALL TEMPERATURE IN THE PRESENCE OF HEAT SOURCE

Abstract

The phenomenon of convective heat and mass transfer has been intensively investigated due to many industrial applications, such as air conditioning of room, material processing, cooling of nuclear reactors and many other practical situations. The natural convection heat transfer of liquid metals in a confined enclosure is considered an important problem to passive cooling system. Fluids with additive/suspension are considered non Newtonian, which can be fully described by the theory of micro polar fluids first developed by Eringen [1]. Chamkha et al. [2]   was the first to study the fully developed free convection of a micro polar fluid in a vertical channel. This study was further extended by Cheng [3] to include mass transfer, Natural convection in an enclose field with fluid-saturated porous medium. The purpose of this article is to extend the work of Cheng by taking the vertical channel. The solution of the boundary value problem will be obtained by using exact method. In this work we aim to study the fully developed heat and mass transfer by natural convection of as micropolar fluid inside a plane vertical channel for asymmetric wall temperature in presence of heat source. The closed form exact solutions are derived and the effect of the vortex viscosity parameter on the flow, heat transfer and mass transfer characteristics such as the velocity, microrotaion, volume, flow rates ,total heat rate added to the fluid and the total species rate added to the fluid are examined.