G. Vidyasagar


We study a two-dimensional free convection effects on the steady incompressible laminar MHD heat and mass transfer characteristics of a linearly started porous vertical plate, the velocity of the fluid far away from the plate surface is assumed zero for a quiescent state fluid. The variations of surface temperature and concentration are linear. All the fluid properties are assumed to be constant except for the density variations in the buoyancy force term of the linear momentum equation. The magnetic Reynolds number is assumed to be small, so that the induced magnetic field is neglected. No electrical field is assumed to exist and both viscous and magnetic dissipations are neglected. The Hall effects, the viscous dissipation and the joule heating terms are also neglected. The governing equations are solved numerically by using shooting method. Dimensionless velocity, temperature and concentration profiles are displayed graphically for different values of suction parameter (fw), magnetic parameter ( ), permeability parameter (K), local temperature Grashof number (Gr), local concentration Grashof number (Gc), Prandtl number ( ) and Schmidt number (Sc). The values of skin-friction, Nusselt number and Sherwood number for different physical parameters are also presented through tables.

Keywords: Porous medium, MHD, Heat transfer and Mass transfer, Vertical plate.



] Bejan A. and Khair K.R.. Heat and mass transfer by natural convection in a porous medium, Int.Commun. Heat Mass Transfer, Vol. 28, (1985).

] Callahan G.D. and Marner W.J. Transient free convection with mass transfer on an isothermal vertical flat plate, Int. J. Heat Mass Transfer, Vol.19, (1976).

] Chamkha A.J. and Khaled A.R.A.. Similarity solutions for hydromagnetic simultaneous heat and mass transfer by natural convection from an inclined plate with internal heat generation or absorption, Heat Mass Transfer, Vol. 37, (2001).

] Elabashbeshy E.M.A.. Heat and mass transfer along a vertical plate with variable temperature and concentration in the presence of magnetic filed, Int. J. Eng. Sci., Vol. 34, (1997).

] Erickson LE, Fan LT, Fox VG Heat and Mass transfer in the laminar boundary layer flow of a moving flat surface with constant surface velocity and temperature focusing on the effects of suction/injection, Ind. Eng. Chem., Vol. 5, (1966).

] Helmy K.A.. MHD unsteady free convection flow past a vertical porous plate, ZAMM, Vol.78, (1998).

] Huges W.F. and Young F.J. The Electro-Magneto Dynamics of fluids, John Wiley and Sons, New York, (1996).

] Ibrahim S.Y. and Makinde O.D. Chemically reacting MHD boundary layer flow of heat and mass transfer over a moving vertical plate with suction, Scientific Research and Essays, Vol. 5(19), (2010).

] Makinde O.D On MHD boundary-layer flow and mass transfer past a vertical plate in a porous medium with constant heat flux. Int. J. Num. Meth. Heat Fluid Flow, 19, (2009).

] Raptis A. Flow through a porous medium in the presence of magnetic field, Int. J. Energy Res., Vol.10, (1986).

] Raptis A., Tzivanidis G. and Kafousias N. Free convection and mass transfer flow through a porous medium bounded by an infinite vertical limiting surface with constant suction, Letter Heat Mass Transfer, Vol. 8, (1981).

] Soundalgekar V.M. Effects of mass transfer and free convection on the flow past an impulsively started vertical flat plate, ASME Journal Appl. Mech, Vol. 46, (1979).

] Soundalgekar V.M. and Wavre P.D. Unsteady free convection flow past an infinite vertical plate with constant suction and mass transfer, Int. J. Heat Mass Transfer, Vol.20, (1977).

] Vafai K. and Tien C.L. Boundary and inertia effects on flow and heat transfer in porous media, Int. J. Heat Mass Transfer, Vol. 24, (1981).

] Yih KA. Free convection effect on MHD coupled heat and mass transfer of a moving permeable vertical surface. Int. Commun. Heat Mass Transfer, Vol. 26 (1), (1999).

Full Text: pdf


  • There are currently no refbacks.

Free Web Counter