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Pulsating flow of an incompressible micropolar fluid between permeable beds with an inclined uniform magnetic field. (English) Zbl 1408.76494

Summary: In this paper, we investigate the pulsating flow of an incompressible and slightly conducting micropolar fluid between two homogeneous permeable beds in the presence of an inclined uniform magnetic field. The flow between the permeable beds is assumed to be governed by Eringen’s micropolar fluid flow equations and that in the permeable beds by Darcy’s law with the Beavers-Joseph slip conditions at the fluid-permeable bed interfaces. It is assumed that a uniform magnetic field is applied at an angle \(\theta\) with the \(y\)-axis. 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 are studied numerically and the results are presented through graphs.

MSC:

76S05 Flows in porous media; filtration; seepage
76W05 Magnetohydrodynamics and electrohydrodynamics
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References:

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