Title

Series solutions of stagnation slip flow and heat transfer by the homotopy analysis method

Authors

Authors

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

Comments

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Abbreviated Journal Title

Sci. China Ser. G-Phys. Mech. Astron.

Keywords

stagnation slip flow; Navier boundary condition; nano-fluidics; heat; transfer; homotopy analysis method; DIFFERENTIAL-EQUATIONS; DECOMPOSITION METHOD; Physics, Multidisciplinary

Abstract

An analytical approximation for the similarity solutions of the two- and three-dimensional stagnation slip flow and heat transfer is obtained by using the homotopy analysis method. This method is a series expansion method, but it is different from the perturbation technique, because it is independent of small physical parameters at all. Instead, it is based on a continuous mapping in topology so that it is applicable for not only weakly but also strongly nonlinear flow phenomena. Convergent [m,m] homotopy Pad, approximants are obtained and compared with the numerical results and the asymptotic approximations. It is found that the homotopy Pad, approximants agree well with the numerical results. The effects of the slip length a"" and the thermal slip constant beta on the heat transfer characteristics are investigated and discussed.

Journal Title

Science in China Series G-Physics Mechanics & Astronomy

Volume

52

Issue/Number

6

Publication Date

1-1-2009

Document Type

Article

Language

English

First Page

893

Last Page

899

WOS Identifier

WOS:000266252200015

ISSN

1672-1799

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