Hall effects on the hydromagnetic convective flow through a rotating channel under general wall conditions

M. Guria - R. N. Jana

Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721 102, West Bengal, India

Abstract
Hall effects on the combined free and forced convective flow through a rotating channel in the presence of a uniform transverse magnetic field under general wall conditions have been considered. An exact solution of the governing equations has been obtained. The velocity profiles, induced magnetic field and critical Grashof number have been discussed for non-conducting, conducting and perfectly conducting plates. It is found that the primary velocity u₁ at any point decreases, whereas the secondary velocity w₁ increases near the lower plate and decreases near the upper plate with the increase of the Hall parameter. It is found that the induced magnetic field h_x is significantly affected by the Hall parameter. The induced magnetic field h_z decreases near the lower portion of the channel and increases near the upper portion of the channel with the Hall parameter increase. It is interesting to note that the shear stress components due to primary and secondary flows do not vanish at the plates η = ±1 when Grashof number \Gr = 0. The heat transfer characteristic has also been studied, taking viscous and Joule dissipation into account. Tables 4, Figs 10, Refs 16.