Boundary layer Viscous Flow of Nanofluids and Heat Transfer Over a Nonlinearly Isothermal Stretching Sheet in the Presence of Heat Generation/Absorption and Slip Boundary Conditions

Abstract

<span class="fontstyle0">The steady two-dimensional flow of a viscous nanofluid of magnetohydrodynamic (MHD) flow and heat<br />transfer characteristics for the boundary layer flow over a nonlinear stretching sheet is considered. The<br />flow is caused by a nonlinear stretching sheet with effects of velocity, temperature and concentration<br />slips. Problem formulation is developed in the presence of heat generation/absorption and<br />suction/injection parameters on non-linear stretching sheet. The resulting governing equations are<br />converted into a system of nonlinear ordinary differential equations by applying a suitable similarity<br />transformation and then solved numerically using Keller-Box technique. Convergences of the derived<br />solutions are studied. The effects of the different parameters on the velocity, temperature, and<br />concentration profiles are shown and discussed. Numerical values of local skin-friction coefficient, local<br />Nusselt number and Sherwood number are tabulated. It is found that the velocity profiles decreases,<br />temperature and concentration profiles increases with increasing of velocity slip parameter, and the<br />thermal boundary layer thickness increases with increasing of Brownian motion and thermophoresis<br />parameters.</span>