Abstract
An analysis to investigate the combined effects of heat and mass transfer on free convection unsteady magnetohydrodynamic (MHD) flow of viscous fluid embedded in a porous medium is presented. The flow in the fluid is induced due to uniform motion of the plate. The dimensionless coupled linear partial differential equations are solved by using Laplace transform method. The solutions that have been obtained are expressed in simple forms in terms of elementary functionexp(·)and complementary error functionerfc(·). They satisfy the governing equations; all imposed initial and boundary conditions and can immediately be reduced to their limiting solutions. The influence of various embedded flow parameters such as the Hartmann number, permeability parameter, Grashof number, dimensionless time, Prandtl number, chemical reaction parameter, Schmidt number, and Soret number is analyzed graphically. Numerical solutions for skin friction, Nusselt number, and Sherwood number are also obtained in tabular forms.
Highlights
The process of heat transfer or heat and mass transfer together occurs simultaneously in a moving fluid and plays an important role in the design of chemical processing equipment, nuclear reactors, and formation and dispersion of fog
Muthucumaraswamy et al [12] presented an exact solution to the problem of flow past an impulsively started infinite vertical plate in the presence of uniform heat and mass flux at the plate using Laplace transform technique
Motivated by the above investigations the present paper aims to study the combined heat and mass effects on the unsteady MHD free convection flow of an incompressible viscous fluid passing through a porous medium
Summary
The process of heat transfer or heat and mass transfer together occurs simultaneously in a moving fluid and plays an important role in the design of chemical processing equipment, nuclear reactors, and formation and dispersion of fog. It is used to study the movement of natural gas oil and water through oil channels or reservoirs, and in the field of agriculture engineering to study the underground water resources (see e.g., Hayat and Abbas [13], Rahman and Sattar [14], Kim [15], Kaviany [16], Vafai and Tien [17], Jha and Apere [18], Mandal et al [19], Katagiri [20]) In view of such applications, Chaudhary and Jain [21] analyzed the magnetohydrodynamic free convection flow past an accelerated surface embedded in a porous medium and obtained the exact solutions for the velocity, temperature, and concentration fields using Laplace transform method. The effect of heat mass transfer on unsteady MHD free convection flow past a moving vertical plate in a porous medium was investigated by Das and Jana [26] They considered the impulsive, uniform, and oscillating motions of the plate with constant heat and mass diffusion and developed the exact solutions using Laplace transform technique.
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