The effect of Hall current on an unsteady MHD free convective viscous dissipative chemically reacting fluid flow along a vertical porous plate with thermal radiation

Abstract

The effect of hall current onan unsteady magnetohydrodynamic flow of heat and mass transfer of an electrically conducting incompressible fluid along an infinite vertical porous plate in presence ofthermal radiation, viscous dissipationand chemical reaction has been studied.The fluid is considered to be a gray, absorbing emitting but non - scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The dimensionless governing coupled, non - linear boundary layer partial differential equations are solved by an efficient finite element method forvelocity, temperature, concentration field and also the expression for shearing stress, Rate of heat and mass transferare obtained. The effect of thermal Grashof Number, solutal Grashof Number, Transpiration cooling parameter, Prandtl Number, Schmidt Number,Hartmann number, Thermal radiation parameter, Eckert number, Hall parameterand Chemical reaction parameter on the flow field are shown through graphs and tables.The numerical results for some special cases were compared with Sriramuluet al. (19) and were found to be in good agreement. This present problem has wide applications in several areas of science and technology viz. chemical catalytic reactors, thermal insulators, heat exchanger devices, nuclear waste repositories, drying of porous solids, enhanced oil and gas recovery, underground energy transport etc.