Heat and Mass Transfer with Free Convection MHD Flow Past a Vertical Plate Embedded in a Porous Medium

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.

Thermal-diffusion effects on mixed convection flow in a heat absorbing fluid with Newtonian heating and chemical reaction

“…u'(co,t') -*0, T'(ci,t') -* T, C'(cc,t') -* C, t' >0, (7) where T is ambient temperature, w e is frequency of oscillation, h is heat transfer coefficient, C and C are species concentration near and far away from the plate respectively. To reduce the above equations into their non-dimensional forms, we introduce the following non-dimensional quantities…”

“…The Soret driven free convective heat and mass transfer flow of a power law fluid past a vertical plate in a thermally stratified porous medium have been studied by Narayana et al [6]. Recently, Far had et al [7] found analytical solutions of MMD heat and mass transfer flow past vertical plate embedded in a porous medium in the presence of Soret and chemical effects.…”

MHD Flow of Micropolar Fluid over an Oscillating Vertical Plate Embedded in Porous Media with Constant Temperature and Concentration

“…The study of free convection MHD flow of a micropolar fluid over an oscillating infinite vertical plate saturated porous medium has important applications in geophysics and engineering and technology. These applications included the boundary layer control in the field of aerodynamics, MHD generators, extraction of geothermal resources, petroleum resource extraction, and nuclear reactors [27]. Nazar et al [28] used the Keller-Box method to obtain the numerical solutions for a steady flow of micropolar fluid over a stretching sheet.…”

Heat and Mass Transfer of Unsteady Hydromagnetic Free Convection Flow Through Porous Medium Past a Vertical Plate with Uniform Surface Heat Flux

“…The combined effects of Soret and Dufour on an unsteady mixed convection magnetohydrodynamics heat and mass transfer in a micropolar fluid saturated Darcian porous medium in the presence of thermal radiation, heat generation, Ohmic heating and chemical reaction have been investigated by Kasim et al [27]. Ali et al [28] developed the combined effects of heat and mass transfer on free convection unsteady MHD flow of viscous fluid embedded in a porous medium.…”

“…The objective of this work is to extend the study of Ali et al [28] to a vertical plate with a uniform surface heat flux immersed in an absorbing fluid, that is, to study the problem of free convection MHD flow of an incompressible, viscous, absorbing fluid past an accelerated vertical plate with constant surface heat flux embedded in a porous medium. The magnetic field is applied normal to the surface of the plate which is electrically insulated.…”