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The steady, two dimensional flow of a copper (Cu) - water nanofluid over a permeable a stretching sheet in the presence of porous medium and Newtonian heating. Using the similarity transformations, the governing equations have been transformed into a system of ordinary differential equations. These differential equations are highly nonlinear which cannot be solved analytically. Therefore, fourth order Runge-Kutta Gill procedure together with shooting technique has been used for solving it. Numerical results are obtained for the skin-friction coefficient and the local Nusselt number as well as the velocity and temperature profiles for different values of the governing parameters, namely, permeability parameter, volume fraction of nanoparticles, conjugate parameter for Newtonian heating, and Prandtl number.