Effect of the Velocity Slip Boundary Condition on the Flow and Heat Transfer of Nanofluids Over a Stretching Sheet

In the presence of nanoparticle fractions and on taking into account the dynamic effects including the Brownian motion and thermophoresis, the developments of the second order slip velocity on the boundary layer flow and heat transfer over a stretching surface is presented. The governing partial differential equations system were transformed into a system of non-linear ordinary equations using similarity transformations. It was found that the solution depends on the first order and second order slip factors, Prandtl, Brownian motion, Lewis, and thermophoresis numbers. This system has been then numerically solved by the Chebyshev pseudospectral differentiationmatrix (ChPDM) where the reduced Nusselt and Sherwood numbers is investigated against the previous five parameters. The current results show that the second order slip parameter influences strongly on the flow velocity and surface shear stress on the stretching sheet and also the reduced Nusselt and reduced Sherwood numbers.