Abstract

The flow of a fluid of grade three between heated parallel plates is examined. It is assumed that the fluid is temperature-dependent and reacts satisfying Arrhenius law. We employed Galerkin weighted residual method to solve the resulting non-linear equations. The results show the effects of  Br Brinkman number, which is the parameter that controls the viscous dissipation,  which is the non-Newtonian parameter.

The result shows that the velocity of the flow decreases as Brinkman number, 1 M and  increases. The temperature of the flow decreases with increase in Frank  Kamenetskii parameter. We also deduce from the result that  Frank Kamenetskii parameter has considerable effects on the temperature profile of the system.