Slip Effects in a Flow and Heat Transfer of a Nanofluid Over a Nonlinearly Stretching Sheet Using Optimal Homotopy Asymptotic Method

Abstract

Steady, laminar fluid flow which results from the non-linear stretching of a flat surface in a nanofluid with slip effects has been investigated analytically. The flow is caused by a non-linear stretching surface with the slip effects of the velocity, the temperature, and concentration. The resulting non-linear governing equations with associated boundary conditions are solved using optimal homotopy asymptotic method (OHAM) with a local non-similar transformation. The influence of velocity slip parameter (δ), thermal slip parameter (β), concentration slip parameter (λ), Brownian motion number (Nb), thermophoresis number (Nt), stretching parameter (n) and Lewis number(Le) on the velocity, temperature and nanoparticle concentration profiles are shown graphically. The impact of physical parameters on rate of heat transfer (–g′(0)) and mass transfer (−h′(0)) is shown in graphical form and discussed in detail. Numerical solutions are used to show the validity of OHAM and a very good agreement has been observed. Keywords: Nanofluid, non-linear stretching sheet, Optimal Homotopy Asymptotic Method (OHAM), Slip effect