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In this paper, the problem of boundary layer flow and heat transfer of MHD  power-law fluid over a porous sheet in the presence of partial slip is  investigated numerically. We assume a temperature dependent thermal  conductivity and slip conditions are employed in terms of shear stress. The  suitable similarity transformations are used, to transform the governing  partial differential equations (PDEs) into a system of nonlinear ordinary  differential equations (ODEs). The resulting system of ODEs is solved  numerically using Matlab bvp4c solver. The numerical values obtained for the  velocity and temperature depend on power-law index, slip parameters,  permeability, suction/injection parameter, Prandlt number and Nusselt number.  The effects of various parameters on the flow and heat transfer  characteristics are presented through graphs and tables and discussed from  physical point of view.

Influence of variable thermal conductivity and thermal radiation on slip flow and heat transfer of MHD power-law fluid over a porous sheet