Abstract
This study examines the steady and two-dimensional flow of non-Newtonian Prandtl-Eyring fluid over an isothermal sphere under buoyancy forces and non-Darcy porous media. We consider the uniform external magnetic field B0, by neglecting induced magnetic field, perpendicular to the sphere. The corresponding concerned equations are transmuted to a set of nonlinear partial differential equations which contain the flow parameters, the Prandtl fluid parameter (ε), Elastic parameter (δ), Forchheimer parameter (Λ), Hartmann number (M), Darcy number (Da), velocity slip parameter (Sf) and thermal jump parameter (ST). and Prandtl number Pr. The reduced system of PDE's is solved numerically by using bvp4c scheme in MATLAB. The numerical results are obtained for the physical parameters. The finding shows that the skin friction coefficient and the Nusselt number reduce with increasing Forchheimer parameter Λ.
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