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Effects of Heat and Mass Transfer on MHD Flow Past a Moving Porous Plate through Porous Medium with Viscous Dissipation


Affiliations
1 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-171005, India
     

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The present study deals with the effects of heat and mass transfer on MHD free convective flow of an incompressible and electrically-conducting fluid along an infinite vertical moving plate embedded in the porous medium by taking into account the effect of viscous dissipation. A uniform magnetic field is applied perpendicular to the plane of the plate. The dimensionless governing equations are solved analytically using two-term harmonic and non-harmonic functions. The numerical calculations are performed to illustrate the influence of parameters used in the problem on the velocity, temperature and concentration. The graphical representations of the numerical results reveal that increased cooling of the plate and the Eckert number leads to a rise in the velocity profile. Also, an increase in Prandtl number leads to decrease in the temperature.

Keywords

MHD, Heat and Mass Transfer, Porous Medium, Viscous Dissipation Mathematical Subject Classification (2010):76D05, 76D10.
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  • Effects of Heat and Mass Transfer on MHD Flow Past a Moving Porous Plate through Porous Medium with Viscous Dissipation

Abstract Views: 222  |  PDF Views: 1

Authors

Khem Chand
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-171005, India
Nidhi Thakur
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-171005, India

Abstract


The present study deals with the effects of heat and mass transfer on MHD free convective flow of an incompressible and electrically-conducting fluid along an infinite vertical moving plate embedded in the porous medium by taking into account the effect of viscous dissipation. A uniform magnetic field is applied perpendicular to the plane of the plate. The dimensionless governing equations are solved analytically using two-term harmonic and non-harmonic functions. The numerical calculations are performed to illustrate the influence of parameters used in the problem on the velocity, temperature and concentration. The graphical representations of the numerical results reveal that increased cooling of the plate and the Eckert number leads to a rise in the velocity profile. Also, an increase in Prandtl number leads to decrease in the temperature.

Keywords


MHD, Heat and Mass Transfer, Porous Medium, Viscous Dissipation Mathematical Subject Classification (2010):76D05, 76D10.