Free Convection Flow with Variable Viscosity Through Horizontal Channel Embedded in Porous Medium

ABSTRACT

Laminar free convection flow of viscous, incompressible fluid with variable viscosity and viscous dissipation through two horizontal parallel walls embedded in a porous medium is studied. Arrhenius model is used in which the variable viscosity is used to be decreasing exponentially with temperature. An approximation technique is defined to obtain the solution of the coupled non-linear equations of the velocity and the temperature fields. The expressions for wall shear stress and the rate of heat transfer are also derived. The effects of various parameters, entered into the momentum and energy equations, are studied on velocity field, temperature distribution, wall shear stress and rate of heat transfer, and are shown graphically.