Volume 3, Issue 3, September 2018, Page: 22-34
The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate
Damilare John Samuel, Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Babatunde Oluwaseun Ajayi, Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Received: Aug. 28, 2018;       Accepted: Sep. 14, 2018;       Published: Oct. 22, 2018
DOI: 10.11648/j.cbe.20180303.12      View  209      Downloads  9
Abstract
In this article, the effects of thermo-physical parameters on free convective flow of a chemically reactive power law fluid driven by exothermal plate is studied. The effect of thermal radiation on the fluid flow is investigated. Also, an exothermal surface reaction modeled by Arrhenius kinetics supplied heat to the power law fluid. Suitable similarity transformations are used to transform the non-linear partial differential equations into system of non-linear coupled ordinary differential equations. The obtained coupled non-linear ordinary differential equations are then solved numerically via fourth-order Runge-Kutta Fehlberg method. A parametric study is performed to illustrate the influence of thermal conductivity parameter, Grashof number, power-law index, velocity exponent parameter, Prandtl number, heat generation parameter, magnetic parameter, Eckert number, radiation parameter, Frank-Kamenetskii parameter, activation energy parameter, Brinkman number, reactant consumption parameter, and suction parameter on the fluid velocity and temperature profiles within the boundary layer. Numerical values of different controlling parameters for local skin friction coefficient and local Nusselt number are obtained and discussed. Comparison of the present work with existing literature was carried out and the results are in excellent agreement. The results also shows that skin friction coefficient decreases with increase in Eckert number, while the rate of heat transfer is enhanced at the surface of the plate as the Eckert number increase.
Keywords
Power Law Fluid, Viscous Dissipation, Natural Convection Heat Transfer, Fehlberg Method, Thermal Radiation
To cite this article
Damilare John Samuel, Babatunde Oluwaseun Ajayi, The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate, Chemical and Biomolecular Engineering. Vol. 3, No. 3, 2018, pp. 22-34. doi: 10.11648/j.cbe.20180303.12
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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