Combined Free and Forced Convection Effects on the Non-Newtonian Flow Through a Channel

The combined effect of free and forced convection on the flow of non-Newtonian liquid between two horizontal parallel walls with a linear axial temperature variation has been studied in this paper. The equations of motion and energy have been solved by two different methods, (i) An approximate method known as perturbation method in which the non-Newtonian parameter is the perturbation parameter, and (ii) Runge-Kutta numerical integration method. The results in both these methods have been compared. The flow phenomenon is characterized by the non-dimensional numbers like R (non-Newtonian number), G (Grashof number), K (Brinkman number) and N (a wall temperature parameter), and the effects of those numbers on the velocity and temperature fields, shear stress and the rate of heat transfer at the walls have been studied