Viscous and Joule heating effects on non-Darcy MHD natural convection flow over a permeable sphere in porous media with internal heat generation

In the present paper, the effects of viscous dissipation, Joule heating and heat source/sink on non-Darcy MHD natural convection flow over an isoflux permeable sphere in a porous medium are numerically analyzed. These partial differential equations are transformed into the nonsimilar boundary layer equations and solved by the Keller box method. Numerical results for the wall shear stress and the Nusselt number are presented for the dimensionless coordinate ζ, the Forchheimer number Γ, the magnetic parameter M, the Darcy number Da, the Prandtl number Pr = 0.7, the Eckert number Ec, the heat source/sink parameter Ω, and the suction/blowing parameter φw = 0.5.