Title

Nano boundary layers over stretching surfaces

Authors

Authors

R. A. Van Gorder; E. Sweet;K. Vajravelu

Comments

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Abbreviated Journal Title

Commun. Nonlinear Sci. Numer. Simul.

Keywords

Nanofluidics; Navier boundary condition; Homotopy Analysis Method; Stretching sheet; HOMOTOPY ANALYSIS METHOD; VISCOUS-FLOW; PLATE; EQUATIONS; BRANCH; SLIP; Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; Physics, Mathematical

Abstract

In this paper, we present similarity solutions for the nano boundary layer flows with Navier boundary condition. We consider viscous flows over a two-dimensional stretching surface and an axisymmetric stretching surface. The resulting nonlinear ordinary differential equations are solved analytically by the Homotopy Analysis Method. Numerical Solutions are obtained by using a boundary value problem solver, and are shown to agree well with the analytical solutions. The effects of the slip parameter K and the suction parameter s on the fluid velocity and on the tangential stress are investigated and discussed. As expected, we find that for such fluid flows at nano scales, the shear stress at the wall decreases (in an absolute sense) with an increase in the slip parameter K. (C) 2009 Elsevier B.V. All rights reserved.

Journal Title

Communications in Nonlinear Science and Numerical Simulation

Volume

15

Issue/Number

6

Publication Date

1-1-2010

Document Type

Article

Language

English

First Page

1494

Last Page

1500

WOS Identifier

WOS:000275352300009

ISSN

1007-5704

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