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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i4.30
pages 303-314

PULSATING FLOW OF AN INCOMPRESSIBLE MICROPOLAR FLUID BETWEEN PERMEABLE BEDS WITH AN IMPOSED UNIFORM MAGNETIC FIELD

T. K. V. Iyengar
Department of Mathematics, National Institute of Technology, Warangal-506004, Andhra Pradesh, India
Punnamchandar Bitla
Dept of Mathematics, Amrita School of Engineering, Coimbatore, Amrita Vishwa Vidyapeetham, Amrita University, India, 641112

RÉSUMÉ

In this paper, we investigate the pulsating flow of an incompressible and slightly conducting micropolar fluid between two homogeneous permeable beds under the influence of imposed uniform magnetic field. The micropolar fluid is injected into the channel from the lower permeable bed with a certain velocity and is sucked into the upper permeable bed with the same velocity. The fluid is driven by an unsteady pulsating pressure gradient. It is assumed that the uniform magnetic field is imposed in a direction normal to the flow. The flow between the permeable beds is assumed to be governed by micropolar fluid flow equations of A. C. Eringen and that in the permeable regions by Darcy's law. The Beavers-Joseph (BJ) slip boundary conditions are employed at the interfaces of the permeable beds. The equations are solved analytically and the expressions for velocity and microrotation are obtained. The effects of the magnetic parameter and the other material parameters on velocity and microrotation are studied and the results are presented through graphs.


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