Title

Series solutions of nano boundary layer flows by means of the homotopy analysis method

Authors

Authors

J. Cheng; S. J. Liao; R. N. Mohapatra;K. Vajraveju

Comments

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Abbreviated Journal Title

J. Math. Anal. Appl.

Keywords

boundary layer; nano fluidics; Navier boundary condition; homotopy; analysis method; ANALYTIC SOLUTION; STRETCHING SHEET; 2ND-GRADE FLUID; HEAT-TRANSFER; KDV; EQUATION; MHD FLOW; AXISYMMETRICAL FLOW; EXPLICIT SOLUTION; 3RD-GRADE; FLUID; ROTATING FLOW; Mathematics, Applied; Mathematics

Abstract

We present here a 'similar' solution for the nano boundary layer with nonlinear Navier boundary condition. Three types of flows are considered: (i) the flow past a wedge; (ii) the flow in a convergent channel; (iii) the flow driven by an exponentially-varying outer flows. The resulting differential equations are solved by the homotopy analysis method. Different from the perturbation methods, the present method is independent of small physical parameters so that it is applicable for not only weak but also strong nonlinear flow phenomena. Numerical results are compared with the available exact results to demonstrate the validity of the present solution. The effects of the slip length e, the index parameters n and m on the velocity profile and the tangential stress are investigated and discussed. (c) 2008 Elsevier Inc. All rights reserved.

Journal Title

Journal of Mathematical Analysis and Applications

Volume

343

Issue/Number

1

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

233

Last Page

245

WOS Identifier

WOS:000255653900021

ISSN

0022-247X

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