Title

Homotopy analysis of the magnetohydrodynamic flow and heat transfer of a second grade fluid in a porous channel

Authors

Authors

B. Raftari; F. Parvaneh;K. Vajravelu

Comments

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Abbreviated Journal Title

Energy

Keywords

Homotopy analysis method; MHD flow; Heat transfer; Second grade fluid; Porous channel; STRESS-DEFORMATION RELATIONS; ARBITRARY WALL CONDUCTIVITY; FINITE-ELEMENT-METHOD; UNSTEADY MHD FLOW; PERTURBATION METHOD; STRETCHING SHEETS; PIPE-FLOW; ISOTROPIC MATERIALS; HARTMANN NUMBERS; UCM; FLUIDS; Thermodynamics; Energy & Fuels

Abstract

In this paper, we analyze the MHD (magnetohydrodynamic) flow and heat transfer of a second grade non-Newtonian fluid in a channel with porous wall. HAM (Homotopy analysis method) is used to obtain analytical solutions of the governing system of nonlinear ordinary differential equations. The analytical solutions are obtained in the form of infinite series and the convergence of the series solution is discussed explicitly. The obtained results are presented through graphs for several sets of values of the parameters, and the salient features of the solutions are analyzed. A comparison of our HAM results with the available numerical results in the literature (obtained by Runge-Kutta and shooting methods) shows that our results are accurate for a wide range of values of the parameters. (C) 2013 Elsevier Ltd. All rights reserved.

Journal Title

Energy

Volume

59

Publication Date

1-1-2013

Document Type

Article

Language

English

First Page

625

Last Page

632

WOS Identifier

WOS:000324787600061

ISSN

0360-5442

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