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The steady two-dimensional magnetohydrodynamic free convective laminar flow of an electrically conducting, viscous and incompressible fluid with finite electrical conductivity past an infinite heated vertical porous plate has been investigated. The coupled ordinary differential equations governing the velocity, the temperature and induced magnetic field distributions are solved analytically. The effects of Prandtl number (P r ), Grashof number (Gr), magnetic field parameter (M), and suction parameter (V 0 ) on the flow field are analysed using graphs. The study reveals that the increase of the Prandtl number (Pr) and the suction velocity (V 0 ) lead to a decrease in the temperature, velocity and the induced magnetic field in the boundary layer region whereas increase in Grashof number and magnetic field parameter lead to increased induced magnetic field.

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In this paper, Stokes problem of a free convective flow past a vertical infinite plate in a rotating system in presence of variable magnetic field is investigated. The fluid considered is electrically conducting. The equations governing the flow in this case are non-linear, thus they cannot be solved analytically. The finite difference method (FDM) and computer will be employed in solving the non-linear equations. The effects of the various parameters entering into the problem are discussed extensively and are shown graphically. Discussion of results is done by investigating the parameters: m (the Hall parameter), E (rotational parameter) and 2 M (The Magnetic parameter). If Gr > 0 (=0.5) then this is plate cooling by free convection currents, while when Gr < 0 (=-0.5), this is plate heating by free convection currents. The effect of a variable magnetic field is to retard the fluid motion by affecting the velocity and temperature.

A mathematical model of magneto hydro dynamic fluid flow in a slider bearing is presented. A generalized two dimensional Reynolds-type equation is derived using the equations of motion. The equation is solved numerically using finite difference scheme which involves the conjugate Gradient method. The pressure is used to evaluate the bearing characteristics such as load carrying capacity and friction parameter. The results are presented graphically. It is found that increased magnetic field leads to increased friction.