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Unsteady Boundary Layer Flow of Nanofluid Past an Impulsively Stretching Sheet

Published online by Cambridge University Press:  29 January 2013

M. Mustafa ,
T. Hayat  and
A. Alsaedi
M. Mustafa*
Affiliation:
Research Centre for Modeling and Simulation, National University of Sciences and Technology, Islamabad 44000, Pakistan
T. Hayat
Affiliation:
Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan
A. Alsaedi
Affiliation:
Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
*
*Corresponding author ([email protected])
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Abstract

The unsteady laminar boundary layer flow of nanofluid caused by a linearly stretching sheet is considered. Transport equations contain the simultaneous effects of Brownian motion and thermophoretic diffusion of nanoparticles. The relevant partial differential equations are non-dimensionalized and transformed into similar forms by using appropriate similarity transformations. The uniformly valid explicit expressions of velocity, temperature and nanoparticles volume fraction are derived. Convergence of the series solutions is carefully analyzed. It is observed that an increase in the strength of Brownian motion effect rises the temperature appreciably. However rate of heat transfer and nanoparticles concentration at the sheet is reduced when Brownian motion effect intensifies. It is also found that the temperature and nanoparticles concentration are increasing functions of the unsteady parameter.

Keywords

NanofluidUnsteady flowSimilar solution
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 3 , September 2013 , pp. 423 - 432
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

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