Combined effect of free and forced convection on MHD flow in a rotating porous channel

Author:

Rao D. R. V. Prasada1,Krishna D. V.1,Debnath Lokenath23

Affiliation:

1. Department of Mathematics, Post Graduate Centre, Anantapur, Andhra Pradesh, India

2. Mathematical Institute, University of Oxford, Oxford, UK

3. Mathematics Department, East Carolina University, Greenville, North Carolina 27834, USA

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 numberG, the Hartmann numberH, the Ekman numberE, and the suction Reynolds numberS. 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 parameterS. 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.

Funder

University Of Oxford

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

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