July 3-8, 2016
The steady flow of viscous, incompressible, conducting fluid flow past a spherical solid core embedded in another spherical porous medium is considered. The exact solution is obtained for the flow in the presence of transverse magnetic field. The considered fluid flow is governed by Brinkman equation in porous region and by Stokes equation in the fluid region with additional Lorentz’s force due to applied magnetic field. The flows in the two regions are matched across the interface by assuming continuity of velocity and stress across the interface. Further, no-slip condition at the solid surface and uniform velocity far from the flow region are used.
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Dinesh P. A., Jayalakshmamma D.V., and Chandrashekhar D.V., "Exact solution for viscous fluid flow in porous medium with magnetic field" in "Sixth International Conference on Porous Media and Its Applications in Science, Engineering and Industry", ECI Symposium Series, (2016). https://dc.engconfintl.org/porous_media_vi/5