MHD REACTIVE THIRD GRADE VISCOUS FLUID FLOW BETWEEN CONVECTIVE COOLING HORIZONTAL PLATES WITH VARIABLE PROPERTIES AND THERMAL RADIATION

Abstract

In this study, the investigation on the flow of magnetohydrodynamic (MHD) reactive third grade viscous fluid between convective cooling horizontal plates with variable thermal conductivity, viscosity and pre-exponential force is examined. The thermal conductivity and viscosity of the fluids are based on non-linear relationship with the fluid temperature which represent reasonable real life model. The fluid is assumed to be optically thin and the contribution of thermal radiation is taken into account based on Cogley model whereas the chemical reaction is based on Arrhenius law. Following the concept of boundary layer approximation, the resulting governing equations of the model are steady, incompressible momentum and energy equations. The resulting governing equations which is non-linear couple ordinary differential equations do not have exact solution . Therefore a recent perturbation method known as Homotopy Analysis Method (HAM) is used to solve the governing equations after non-dimentionalization with appropriate dimensionless variables. Consequently, effects of pertinent emerging parameters on typical reaction rates such as Arrhenius, biomolecular, and sensitized reaction are investigated. Moreso, velocity and temperature behaviors were discussed and reported graphically for different flow parameters. The result shows that the skin friction coefficient and the heat transfer increase due to an increase in the value of variable thermal conductivity and decreases with increase in the value of variable viscosity parameter.