International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 1, Pages 165-182
doi:10.1155/S0161171282000167
Combined effect of free and forced convection on MHD flow in a rotating porous channel
1Department of Mathematics, Post Graduate Centre, Anantapur, Andhra Pradesh, India
2Mathematical Institute, University of Oxford, Oxford, UK
3Mathematics Department, East Carolina University, Greenville 27834, North Carolina, USA
Received 2 September 1979; Revised 2 July 1980
Copyright © 1982 D. R. V. Prasada Rao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper gives a steady linear theory of the combined effect of the free and forced convection in rotating hydromagnetic viscous fluid flows in a porous channel under the action of a uniform magnetic field. The flow is governed by the Grashof number G, the Hartmann number H, the Ekman number E, and the suction Reynolds number S. The solutions for the velocity field, temperature distribution, magnetic field, mass rate of flow and the shear stresses on the channel boundaries are obtained using a perturbation method with the small parameter S. The nature of the associated boundary layers is investigated for various values of the governing flow parameters. The velocity, the temperature, and the shear stresses are discussed numerically by drawing profiles with reference to the variations in the flow parameters.