Journal
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS
Volume 58, Issue -, Pages 39-49Publisher
ELSEVIER
DOI: 10.1016/j.euromechflu.2016.01.008
Keywords
Nanofluid flow; Similarity solution; Numerical and analytical solutions
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In this analysis, the flow and heat transfer characteristics of a nanofluid over a stretching/shrinking surface with suction are investigated. Using a similarity transformation, the nonlinear system of partial differential equations is converted into nonlinear ordinary differential equations. These resulting equations are solved analytically and numerically using a collocation method. Multiple (dual: upper and lower branch) solutions are shown to exist in a range of the governing parameters. In addition, the reduced skin friction coefficient and the reduced heat transfer from the surface of the sheet as well as the velocity, temperature and concentration profiles are analyzed subject to several parameters of interest, namely suction parameter, Brownian motion and thermophoresis parameters, Prandtl number, nanofluid Lewis number and dimensionless slip parameter. The results indicate that the skin friction coefficient and the heat transfer from the surface of the sheet increase with suction effect. It is also observed that suction widens the range of the stretching/shrinking parameter for which the solution exists. (C) 2016 Elsevier Masson SAS. All rights reserved.
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