MHD fluid flow through porous medium with periodic permeability
DOI:
https://doi.org/10.29076/issn.2528-7737vol15iss39.2022pp1-13pKeywords:
Hartmann magnetic number, Mathew permeability model, effective viscosity, magnetorheological fluidAbstract
Fully developed flow of a magnetorheological fluid through a non-isotropic porous medium bounded by parallel plates under the effect of an external magnetic field is considered. Permeability is taken as a periodic function of the transverse direction of the fluid flow. The Darcy-Brinkman-Lapwood-Lorentz equation for the fluid flow in porous media has been used and solved under non-slip boundary conditions by Power Series Method and the results validated by the Numerical Shooting Method. Finally, the analysis of results is made of the influence on the velocity, volumetric flow, and wall shear stress taking into account the Ochoa-Tapia and Whitaker’s effective viscosity relationship.
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