Title: Hydromagnetic forced flow of a viscous fluid through a heterogeneous porous medium induced by an impervious rotating disk

Authors: Neetu Srivastava

Addresses: Department of Mathematics, Amrita Vishwa Vidyapeetham, Bengaluru 560035, Karnataka, India

Abstract: This research is concerned with the forced flow of an electrically conducting viscous incompressible fluid in heterogeneous porous medium due to the rotation of disk. Whole analysis is carried out in the presence of normal magnetic field. It is assumed that the flow in the porous medium is governed by the Brinkman equation. Invoking suitable transformations, the flow governing partial differential equations are non-dimensionalised and are solved using the perturbation method. At the interface (porous-porous medium), a modified set of matching condition suggested by Ochoa-Tapia and Whitaker is applied. Analytical expressions for the velocities, moment at the disk and shearing stress are computed and the effects of various parameters upon them are examined.

Keywords: heterogeneous; porous medium; magnetohydrodynamics; MHD; hydromagnetic forced flow; viscous fluids; impervious rotating disks; incompressible fluids; partial differential equations; PDEs; perturbation; velocities; shearing stress.

DOI: 10.1504/IJDSDE.2015.072839

International Journal of Dynamical Systems and Differential Equations, 2015 Vol.5 No.4, pp.288 - 301

Available online: 04 Nov 2015 *

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