Non-Newtonian Fluid Flow with Arrhenius Reaction between Heated Parallel Plates through a Porous Medium
A.W. Ogun Sola1, B.A. Peter2

1A.W. Ogun Sola, Molipa Road, I-ODE, Ogun, Nigeria.
2B.A. Peter, Molipa Road, I-ODE, Ogun, Nigeria.
Manuscript received on 6 April 2014 | Revised Manuscript received on 17 April 2014 | Manuscript Published on 30 April 2014 | PP: 137-142 | Volume-3 Issue-11, April 2014 | Retrieval Number: K16100431114/14©BEIESP
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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, M1 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.
Keywords: Non-Newtonian Fluid, Weighted Residual Method, Third Grade Fluid And Arrhenius Reaction.

Scope of the Article: Fluid Mechanics