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Exponentially Stagnation Point Flow of Non-Newtonian Nanofluid over an Exponentially Stretching Surface

S. Nadeem EMAIL logo , M. A. Sadiq , Jung-il Choi and Changhoon Lee

Abstract

The steady stagnation point flow of Jeffrey nanofluid over an exponential stretching surface under the boundary layer assumptions is discussed analytically. The transport equations include the effects of Brownian motion and thermophoresis. The boundary layer coupled partial differential equations of Jeffrey nanofluid are simplified with the help of suitable semi-similar transformations. The reduced equations are then solved analytically with the help of homotopy analysis method (HAM). The convergence of HAM solutions have been discussed by plotting h-curve. The expressions for velocity, temperature and nano particle volume fraction are computed for some values of the parameters namely, Jeffrey relaxation and retardation parameters B and λ1, stretching/ shrinking parameter A, suction injection parameter vw, Lewis number Le, the Brownian motion Nb, thermophoresis parameter Nt and Prandtl number Pr.

Received: 2011-8-23
Accepted: 2014-2-4
Published Online: 2014-4-1
Published in Print: 2014-6-1

©2014 by Walter de Gruyter Berlin/Boston

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