Abstract
An analysis is carried out in order to examine the effects of non-uniform heat source and thermal radiation on the transient free convective MHD flow past a vertical plate. In this model, an inclined magnetic field with periodic heat flux along the wall is included. The governing equations (in non-dimensional shape) are solved numerically by a fully implicit finite difference scheme. A parametric study is performed in order to illustrate the influences of the model dimensionless parameters, namely, the magnetic parameter, the heat source term, the Grashof number, the Prandtl number, and the radiation parameter. The velocity field and the temperature field are evaluated for several amounts of these parameters. The obtained numerical results are compared with the analytical solution in case of constant heat flux with no heat source, and a full agreement was found.
Highlights
There are a lot of recent studies on the effect of magnetohydrodynamics (MHD) on systems of fluid dynamics due to their wide applications in industrial manufacturing processes and cooling systems
The effect of heat generation on MHD flow over flat plates has been analyzed in many papers
The effects of magnetic parameter, heat source term, Grashof numer, Prandtl number and radiation parameter on the flow behavior and heat transfer process are presented through graphs, and their features are discussed
Summary
There are a lot of recent studies on the effect of magnetohydrodynamics (MHD) on systems of fluid dynamics due to their wide applications in industrial manufacturing processes and cooling systems. Authors in [10] studied the transient MHD free convection in a boundary layer flow through a porous medium past a moving infinite vertical plate in presence of heat source and chemical reaction. An analytical study of transient MHD free convective flow of a viscous incompressible fluid over an infinite vertical plate immersed in a porous medium with viscous dissipation effect and uniform heat flux in the presence of chemical reaction was carried out in [14]. Authors in [20] studied a theoretical model of transient MHD free convection flow with heat transfer of a viscous, incompressible, radiating and chemically reactive fluid past an impulsively moving vertical plate with ramped heat flux in the presence of inclined magnetic field. The effects of magnetic parameter, heat source term, Grashof numer, Prandtl number and radiation parameter on the flow behavior and heat transfer process are presented through graphs, and their features are discussed
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