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Boundary layer flow of nanofluid over an exponentially stretching surface

Sohail Nadeem1* and Changhoon Lee2

Author Affiliations

1 Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad 44000, Pakistan

2 Department of Computational Science and Engineering, Yonsei University, Seoul, Korea

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Nanoscale Research Letters 2012, 7:94  doi:10.1186/1556-276X-7-94

Published: 30 January 2012

Abstract

The steady boundary layer flow of nanofluid over an exponential stretching surface is investigated analytically. The transport equations include the effects of Brownian motion parameter and thermophoresis parameter. The highly nonlinear coupled partial differential equations are simplified with the help of suitable similarity transformations. The reduced equations are then solved analytically with the help of homotopy analysis method (HAM). The convergence of HAM solutions are obtained by plotting h-curve. The expressions for velocity, temperature and nanoparticle volume fraction are computed for some values of the parameters namely, suction injection parameter α, Lewis number Le, the Brownian motion parameter Nb and thermophoresis parameter Nt.

Keywords:
nanofluid; porous stretching surface; boundary layer flow; series solutions; exponential stretching