Heat And Mass Transfer on MHD flow Past an Exponentially Accelerated Vertical Plate Through Porous Medium

Heat And Mass Transfer on MHD flow Past an Exponentially Accelerated Vertical Plate Through Porous Medium

 K. Balu 1   A. Selvaraj2

1 Research Scholar Department of Mathematics, Vels Institute of Science, Technology and Advanced Studies, Chennai- 600117, India.

2 Department of Mathematics, Vels Institute of Science, Technology and Advanced Studies, Chennai- 600117, India.

Email: aselvaraj_ind@yahoo.co.in

Abstract
In this paper, we analyze the magnetic hydrodynamics of the fluid flow past an exponentially accelerated inclined vertical plate with mass distribution with varying temperature and heat source through a porous medium. Applying a larger number of possible non-dimensional necessary conditions with limitations and starting conditions is a mathematical workout. The plate temperature is extended on an inclined vertical plate alongside at time t, and the focus level is close to the plate. The dimensionless administering conditions in the current examination are tackled utilizing the inverse Laplace transform technique. The velocity outlines are graphically explained for different physical parameters: heat Grashof value, mass Grashof value, Schmidt value, and duration. It has been observed that the velocity increases with an increase in the thermal grashof number Gr and also with an expansion in the time t of the plate, but the velocity increments with an increase in the permeability of the porous medium while decreasing in the presence of magnetic parameters. The impacts of boundaries M, K, t, and Sc on the velocity profiles are demonstrated graphically

Keywords: MHD, Porous medium; Exponentially, Accelerated, Vertical plate, Laplace transform.