Convective Heat Transfer and MHD Viscoelastic Nanofluid Flow Induced by a Stretching Sheet

Abstract

In this paper we have investigated the viscoelastic nano-fluid flow and heat transfer over a stretching sheet in the presence of magnetic field. The effects of Brownian motion and thermophoresis are taken into account. The flow is governed by the viscoelastic non-Newtonian fluid obeying Walter’s liquid B ′ fluid model. The combined effects of stratifications (thermal and concentration) in the mixed convective flow past over a stretching surface is analyzed. The non-linear boundary layer equations together with the boundary conditions are reduced to a system of coupled non-linear ordinary differential equations by using the similarity transformations. The transformed equations are solved numerically by developing a finite difference scheme along with the Newton’s linearization technique. The study shows that the thermal boundary layer thickness appreciably increases with the increasing effects of Brownian motion, thermophoresis and magnetic field strength. However, the viscoelasticity of the nanofluid has reducing effect on thermal boundary layer thickness.