In the present article, we discussed the velocity slip effects on the heat and mass fluxes of a viscous electrically conducting fluid flow over a stretching sheet in the presence of viscous dissipation, Ohmic dissipation and thermal radiation. A system of governing nonlinear PDEs is converted into a set of nonlinear ODEs by suitable similarity transformations. The numerical and analytical solutions are presented for the governing non-dimensional ODEs using shooting method and hypergeometric function respectively. The results are discussed for skin friction coefficient, concentration field, non-dimensional wall temperature and non-dimensional wall concentration. The non-dimensional wall concentration increases with slip and magnetic parameters and decreases with Schmidt number. Furthermore, comparisons are found to be good with bench mark solutions. Ó 2015 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Abstract. The application of second law of thermodynamics to an electrically conducting incompressible nano uid slip ow over a stretching sheet is investigated in the presence of thermal radiation and non-uniform heat source/sink, both analytically and numerically. The governing dimensionless equations for this investigation are solved analytically by hypergeometric function and numerically by using Runge-Kutta-Gill method with shooting technique. The e ects of magnetic parameter, nanosolid volume fraction parameter, slip parameter, and suction parameter on velocity pro le are discussed for Ag nanoparticles. Further, in addition to these parameters, the e ects of radiation parameter and non-uniform heat source/sink parameters on temperature pro le and entropy generation number are also discussed. Finally, the results of these pro les of Ag nanoparticles are compared with those of the Cu, Al2O3, and TiO2 nanoparticles. It is inferred that the e ect of slip and non-uniform heat source parameters decrease the entropy generation. The metallic nanoparticles create more entropy than the non-metallic nanoparticles.

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