Abstract
In this paper, the steady two-dimensional hydromagnetic free convective flow of an incompressible viscous and electrically conducting fluid between two parallel vertical porous plates has been considered. The effect of induced magnetic field arising due to the motion of an electrically conducting fluid is taken into account. The governing equations of the motion are a set of simultaneous ordinary differential equations and their analytical solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expression for the induced current density has been also obtained. The effects of various non-dimensional parameters on the velocity profile, the induced magnetic field profile, the temperature profile and the induced current density profile have been shown in the graphs. It is found that the effect of suction parameter is to decrease the velocity field and induced current density while it has increasing effect on the induced magnetic field.
Highlights
Analysis on the free convection in an electrically conducting and viscous incompressible fluid in the presence of an external magnetic field has received considerable attention in the literature due to the useful applications in various branches of science and technology, such as fire engineering, nuclear science, combustion modeling, geophysics etc
The present magnetohydrodynamic free convection model is described by a number of physical parameters such as the Prandtl number (Pr), the magnetic Prandtl number (Pm), the suction parameter (V0) and the Hartmann number (Ha)
The hydromagnetic free convective flow between two vertical parallel porous plates has been studied by taking into account the effect of induced magnetic field
Summary
Analysis on the free convection in an electrically conducting and viscous incompressible fluid in the presence of an external magnetic field has received considerable attention in the literature due to the useful applications in various branches of science and technology, such as fire engineering, nuclear science, combustion modeling, geophysics etc. Denno (1972) investigated the effect of non uniform magnetic field on the magnetohydrodynamic channel flow between two parallel plates of infinite extent. Nanousis (1996) considered the two dimensional laminar flow of a viscous incompressible and electrically conducting fluid near an oscillating porous plate in the presence of uniform suction. Singha and Deka (2006), investigated the unsteady natural convection of an electrically conducting fluid between two heated parallel plates in the presence of a uniform
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