title: Magnetohydrodynamic free convection between vertical parallel porous plates in the presence of induced magnetic field.
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.
authors.affiliation: DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, India ; Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, India.
authors.lastname: Sarveshanand
authors.affiliation: Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, India.
authors.forename: A K
authors.initials: AK
authors.lastname: Singh
keywords: Free convection; Induced current density; Induced magnetic field; Porous plate