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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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
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