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1 International Journal of Applied Mechanics and Engineering

1 2012

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Three dimensional free convection MHD flow in a vertical channel through a porous medium with heat source and chemical reaction

Rath P. K., Kar M., Dash G. C., Das M.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 4

1253-1266

The present study is devoted to a three dimensional free convective MHD flow in a vertical channel packed with a porous material having uniform porosity in the presence of a heat source and chemical reaction. One of the walls of the channel is impermeable whereas the other is permeable. The heat, mass and momentum transfer phenomena are coupled due to the presence of convective terms associated with buoyancy effects. Moreover, the presence of a heat source and chemical reaction of the diffusing species makes the study interesting. Though the method of solution is straightforward and valid for a flow with a small Reynolds number still the discussion reveals some answers to awaited queries. The presence of diffusing species with chemical reaction prevents back flow of cross flow velocity. It is interesting to note that the absence of a magnetic field with a low Reynolds number as well as the presence of a magnetic field with a moderately large Reynolds number gives rise to back flow.