Title

Series Solutions Of Stagnation Slip Flow And Heat Transfer By The Homotopy Analysis Method

Keywords

Heat transfer; Homotopy analysis method; Nano-fluidics; Navier boundary condition; Stagnation slip flow

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 Padé approximants are obtained and compared with the numerical results and the asymptotic approximations. It is found that the homotopy Padé approximants agree well with the numerical results. The effects of the slip length l and the thermal slip constant β on the heat transfer characteristics are investigated and discussed. © 2009 Science in China Press and Springer-Verlag GmbH.

Publication Date

6-1-2009

Publication Title

Science in China, Series G: Physics, Mechanics and Astronomy

Volume

52

Issue

6

Number of Pages

893-899

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11433-009-0117-y

Socpus ID

67649130773 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/67649130773

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