This paper focuses on the study of the effects of radiation and chemical reaction on unsteady magnetohydrodynamic free convection flow of a dissipative fluid past an impulsively started infinite vertical plate in the presence of Newtonian heating and uniform mass diffusion. The dimensionless governing equations are unsteady, coupled, and nonlinear partial differential equations. An analytical method fails to give a closed-form solution. Hence, the implicit finite difference scheme of the Crank-Nicolson method is employed. The influence of the magnetic field parameter, radiation parameter, and chemical reaction parameter on the velocity field and skin friction for both air (Pr = 0.71) and water (Pr = 7) are extensively discussed with the help of graphs.
A numerical study is presented on the effects of chemical reaction and magnetic field on the unsteady free convection flow, heat and mass transfer characteristics in a viscous, incompressible and electrically conducting fluid past an exponentially accelerated vertical plate by taking into account the heat due to viscous dissipation. The problem is governed by coupled non-linear partial differential equations. The dimensionless equations of the problem have been solved numerically by the implicit finite difference method of Crank - Nicolson’s type. The effects of governing parameters on the flow variables are discussed quantitatively with the aid of graphs for the flow field, temperature field, concentration field, skin-friction, Nusselt number and Sherwood number. It is found that under the influence of chemical reaction, the flow velocity as well as concentration distributions reduce, while the viscous dissipation parameter leads to increase the temperature
The objective of the present study is to investigate diffusion-thermo (Dufour effect) and radiation effects on unsteady MHD free convection flow past an impulsively started infinite vertical plate with variable temperature and uniform mass diffusion in the presence of transverse applied magnetic field through porous medium. At time t > 0, the plate is given an impulsive motion with constant velocity in the vertical upward direction against to the gravitational field. At the same time the plate temperature is raised linearly with time t and the level of concentration near the plate is raised to. A magnetic field of uniform strength is applied normal to the direction to the flow. The dimensionless governing equations are solved in closed form by Laplace-transform technique. The effect of flow parameters on velocity, temperature, concentration, the rate of heat transfer and the rate of mass transfer are shown through graphs.
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