Flow and Heat Transfer of a Nanofluid over an Exponentially Shrinking Sheet

Abstract

A mathematical model of the steady boundary layer flow and heat transfer of nanofluid due to an exponentially shrinking sheet is investigated. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The governing partial differential equations are transformed into ordinary differential equation by similarity transformations. The transformed equations are solved numerically by using shooting method. A similarity solution is presented which depends on the mass suction parameter S, Prandtl number Pr, Lewis number Le, Brownian motion Br and thermophoresis number Nt. It was found that the reduced Nusselt number is decreasing function of each dimensionless number.