Unsteady MHD Free Convective Three Phase Flow Through Porous Medium Sandwiched Between Viscous Fluids
International Journal of Systems Science and Applied Mathematics
Volume 1, Issue 4, November 2016, Pages: 91-108
Received: Oct. 28, 2016; Accepted: Nov. 15, 2016; Published: Jan. 21, 2017
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Authors
Joseph K. Moses, Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria
Idowu A. S, Department of Mathematics, University of Ilorin, Ilorin, Nigeria
Lawal A. B, Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria
Darius P. B. Yusuf, Department of Mathematics, Kaduna State College of Education, Kafanchan, Nigeria
Onwubuoya C., Department of Computer Science, Novena University, Ogume, Nigeria
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Abstract
In this paper, the unsteady MHD free convective flow through porous medium sandwiched between electrically conducting viscous-incompressible fluids in a horizontal channel with heat and mass transfer, with the assumptions that the upper and lower channel are non-porous (clear regions) and the middle channel as porous respectively have been studied. The governing equations of the flow were transformed to ordinary differential equation by a regular perturbation method and the expression for the velocity, temperature, and concentration for the flow were obtained. It is observed that the fluid velocity decreases with an increase in Prandtl number, Radiation parameter, Hartmann number and Schmidt number. Some of these governing parameters had little effect on the velocity profile while others had significant effect on this velocity profile. The same was seen on the temperature profile and concentration profile. Finally the governing parameters had effects on the flow and this study does aid in the practical usage of such flow or when confronted with such a flow.
Keywords
MHD, Free Convective, Porous Medium, Unsteady Flow, Heat and Mass Transfer
To cite this article
Joseph K. Moses, Idowu A. S, Lawal A. B, Darius P. B. Yusuf, Onwubuoya C., Unsteady MHD Free Convective Three Phase Flow Through Porous Medium Sandwiched Between Viscous Fluids, International Journal of Systems Science and Applied Mathematics. Vol. 1, No. 4, 2016, pp. 91-108. doi: 10.11648/j.ijssam.20160104.20
Copyright
Copyright © 2016 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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