Effect of Hall Current and Wall Conductance on Hydromagnetic Natural Convective Flow Between Vertical Walls

This paper has examined the analytical solution of steady fully developed natural convective ow of a viscous incompressible and electrically conducting uid between vertical channel by taking the Hall current and induced magnetic eld into account. We have obtained the non-dimensional simultaneous ordinary differential equations using the suitable non-dimensional variables and parameters in the governing equations of the model. By obtaining the analytical solution of the simultaneous ordinary differential equations, the effects of the Hall current and the Hartmann number on the primary and secondary components of the velocity, induced magnetic eld and induced current density are presented by the graphs. The in uence of the Hall current is to increase both the primary and secondary components of the velocity and induced magnetic eld proles but decrease the components of induced current density. It is found that the effect of Hartmann number is to decrease both the primary and secondary components of velocity and induced current density but increase the components of the induced magnetic eld.