Static Control of Nanoparticles in Stagnation Point Flow of Carreau Nanofluid Flow over an Exponentially Stretching Surface

Abstract

The present work is devoted to analyze the Stagnation point flow of a Carreau fluid in the presence of nanoparticles over an exponential stretching sheet. Additionally we studied condition of zero normal flux of nanoparticles is introduced at the surface along with convective boundary condition. Moreover consideration of nanoparticles which are passively control at the surface is physically more realistic condition. The modeled equations for Carreau nanofluid are converted into nonlinear ordinary differential equations by utilizing suitable similarity transformations. The resulting equations were numerically solved using Runge Kutta method with shooting technique for various values of governing parameters. Obtained numerical results have been compared with previously published data and found in good agreement. The effects of various non dimensional parameters on velocity, temperature and concentration are discussed in detail and presented through graphs. It is found that velocity profile increases with increasing the Weissenberg number.