Combined effect of free and forced convection on MHD flow in a rotating porous channel

This paper gives a steady linear theory of the combined effect of the free and forced convection in rotating hydromagnetic viscous fluid flows in a porous channel under the action of a uniform magnetic field. The flow is governed by the Grashof number G, the Hartmann number H, the Ekman number E, an...

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Main Authors: D. R. V. Prasada Rao, D. V. Krishna, Lokenath Debnath
Format: Article
Language:English
Published: Wiley 1982-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171282000167
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author D. R. V. Prasada Rao
D. V. Krishna
Lokenath Debnath
author_facet D. R. V. Prasada Rao
D. V. Krishna
Lokenath Debnath
author_sort D. R. V. Prasada Rao
collection DOAJ
description This paper gives a steady linear theory of the combined effect of the free and forced convection in rotating hydromagnetic viscous fluid flows in a porous channel under the action of a uniform magnetic field. The flow is governed by the Grashof number G, the Hartmann number H, the Ekman number E, and the suction Reynolds number S. The solutions for the velocity field, temperature distribution, magnetic field, mass rate of flow and the shear stresses on the channel boundaries are obtained using a perturbation method with the small parameter S. The nature of the associated boundary layers is investigated for various values of the governing flow parameters. The velocity, the temperature, and the shear stresses are discussed numerically by drawing profiles with reference to the variations in the flow parameters.
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institution Kabale University
issn 0161-1712
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publishDate 1982-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-3e12232bc0a64c969e5ae8d3801dc8b12025-08-20T03:55:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015116518210.1155/S0161171282000167Combined effect of free and forced convection on MHD flow in a rotating porous channelD. R. V. Prasada Rao0D. V. Krishna1Lokenath Debnath2Department of Mathematics, Post Graduate Centre, Anantapur, Andhra Pradesh, IndiaDepartment of Mathematics, Post Graduate Centre, Anantapur, Andhra Pradesh, IndiaMathematical Institute, University of Oxford, Oxford, UKThis paper gives a steady linear theory of the combined effect of the free and forced convection in rotating hydromagnetic viscous fluid flows in a porous channel under the action of a uniform magnetic field. The flow is governed by the Grashof number G, the Hartmann number H, the Ekman number E, and the suction Reynolds number S. The solutions for the velocity field, temperature distribution, magnetic field, mass rate of flow and the shear stresses on the channel boundaries are obtained using a perturbation method with the small parameter S. The nature of the associated boundary layers is investigated for various values of the governing flow parameters. The velocity, the temperature, and the shear stresses are discussed numerically by drawing profiles with reference to the variations in the flow parameters.http://dx.doi.org/10.1155/S0161171282000167free and forced convection in a rotating fluid and magnetohydrodynamic boundary layers.
spellingShingle D. R. V. Prasada Rao
D. V. Krishna
Lokenath Debnath
Combined effect of free and forced convection on MHD flow in a rotating porous channel
International Journal of Mathematics and Mathematical Sciences
free and forced convection in a rotating fluid and magnetohydrodynamic boundary layers.
title Combined effect of free and forced convection on MHD flow in a rotating porous channel
title_full Combined effect of free and forced convection on MHD flow in a rotating porous channel
title_fullStr Combined effect of free and forced convection on MHD flow in a rotating porous channel
title_full_unstemmed Combined effect of free and forced convection on MHD flow in a rotating porous channel
title_short Combined effect of free and forced convection on MHD flow in a rotating porous channel
title_sort combined effect of free and forced convection on mhd flow in a rotating porous channel
topic free and forced convection in a rotating fluid and magnetohydrodynamic boundary layers.
url http://dx.doi.org/10.1155/S0161171282000167
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AT dvkrishna combinedeffectoffreeandforcedconvectiononmhdflowinarotatingporouschannel
AT lokenathdebnath combinedeffectoffreeandforcedconvectiononmhdflowinarotatingporouschannel