Title

Nano Boundary Layers Over Stretching Surfaces

Keywords

Homotopy Analysis Method; Nanofluidics; Navier boundary condition; Stretching sheet

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. © 2009 Elsevier B.V. All rights reserved.

Publication Date

6-1-2010

Publication Title

Communications in Nonlinear Science and Numerical Simulation

Volume

15

Issue

6

Number of Pages

1494-1500

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.cnsns.2009.06.004

Socpus ID

72049110958 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/72049110958

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