Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium
International Journal of Management and Fuzzy Systems
Volume 3, Issue 2, April 2017, Pages: 15-27
Received: Nov. 4, 2016;
Accepted: Mar. 24, 2017;
Published: Apr. 25, 2017
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Gilbert Magiboi Nalisi, Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Jeconia Abongo Okello, Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Johana Kibet Sigey, Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Mark Erick. Mwiti Kimathi, Department of Industrial and Engineering Mathematics, Technical University of Kenya, Nairobi, Kenya
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We analyze the effects of hall current and radiation on unsteady hydromagnetic free convection flow of a viscous incompressible electrically conducting fluid past an inclined parabolic accelerated plate in a porous medium by applying a transverse magnetic field which makes an angle α to the inclined plate.The fluid is assumed to be viscous, incompressible and electrically conducting with a strong magnetic field. Using the modified Ohm’s law and the Bossinesq approximation the governing equations of the problem are reduced to local non-similarity boundary layer equations using suitable transformation.The dimensionless governing equations of flow field are solved numerically by Crank-Nicolson finite difference method for different values of governing flow parameters. The velocity and temperature profiles are shown through graphs.
MHD Free Convection Flows, Heat Transfer, Hall Currents, Radiation, Transverse Magnetic Field, Inclined Parabolic Accelerated Plate, Porous Medium
To cite this article
Gilbert Magiboi Nalisi,
Jeconia Abongo Okello,
Johana Kibet Sigey,
Mark Erick. Mwiti Kimathi,
Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium, International Journal of Management and Fuzzy Systems.
Vol. 3, No. 2,
2017, pp. 15-27.
Copyright © 2017 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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Mohana Ramana R Girish Kumar J.(2015) Viscous dissipation effects on MHD flow past a parabolic started plate with variable temperature and mass diffusion International journal Of Scientific & Engineering Research, Vol. 6, Issue 9, pp 57-62.
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