Boundary layer flow of nanofluid over an exponentially stretching surface

Sohail Nadeem; Changhoon Lee

doi:10.1186/1556-276X-7-94

Boundary layer flow of nanofluid over an exponentially stretching surface

Sohail Nadeem, Changhoon Lee

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

165 Citations (Scopus)

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.

Original language	English
Article number	94
Journal	Nanoscale Research Letters
Volume	7
DOIs	https://doi.org/10.1186/1556-276X-7-94
Publication status	Published - 2012

Bibliographical note

Funding Information:
This research was supported by WCU (World Class University) program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology R31-2008-000-10049-0.

All Science Journal Classification (ASJC) codes

Materials Science(all)
Condensed Matter Physics

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10.1186/1556-276X-7-94

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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.",

author = "Sohail Nadeem and Changhoon Lee",

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N2 - 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.

AB - 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.

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Boundary layer flow of nanofluid over an exponentially stretching surface

Abstract

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