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Analytical Study on Unsteady MHD Free Convection and Mass Transfer Flow Past a Vertical Porous Plate
American Journal of Applied Mathematics
Volume 3, Issue 2, April 2015, Pages: 64-74
Received: Feb. 4, 2015; Accepted: Feb. 24, 2015; Published: Mar. 30, 2015
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Authors
S. F. Ahmmed, Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
M. K. Das, Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
L. E. Ali, Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
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Abstract
The unsteady MHD free convection and mass transfer boundary layer flow past a semi-infinite vertical porous plate immersed in a porous medium with heat source is studied. The plate moves with a uniform velocity in the direction of the fluid flow while the free stream velocity is considered to follow the exponentially increasing small perturbation law. The governing equations are solved analytical by using perturbation technique depending on the physical parameters including the Radiation parameter (R), the Magnetic parameter (M), the Prandtl number (Pr), the Grashof number for heat transfer (Gr), the Modified Grashof number for mass transfer (Gc), the Schmidt number (Sc), the soret number (S0), the permeability parameter (K) and the heat source (Q). The influence of these parameters on velocity field, temperature field, concentration field, skin friction, Nusselt number and Sherwood number at the plate are discussed with graphically.
Keywords
MHD, Heat and Mass Transfer, Porous Plate, Perturbation Law, Heat Source, Soret Number
To cite this article
S. F. Ahmmed, M. K. Das, L. E. Ali, Analytical Study on Unsteady MHD Free Convection and Mass Transfer Flow Past a Vertical Porous Plate, American Journal of Applied Mathematics. Vol. 3, No. 2, 2015, pp. 64-74. doi: 10.11648/j.ajam.20150302.16
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