Existence results and numerical simulation of magnetohydrodynamic viscous flow over a shrinking sheet with suction

Journal article

Authors/Editors

Siginer, Dennis

Research Areas

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Publication Details

Author list: Akyildiz FT, Siginer DA

Publisher: Elsevier

Place: OXFORD

Publication year: 2010

Journal acronym: MATH COMPUT MODEL

Volume number: 52

Issue number: 1-2

Start page: 346

End page: 354

Number of pages: 9

ISSN: 0895-7177

Languages: English-Great Britain (EN-GB)

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Abstract

This paper presents an analysis and a semi-analytical study of the boundary value problem resulting from a self-similar transformation of the partial differential equations governing the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet with suction. Existence of a solution is shown using the fixed point argument and the boundary value problem is solved. Galerkin-Legendre spectral method with domain truncation is used to obtain approximate analytical solutions. The approximate solutions computed confirm the theoretical analysis. (C) 2010 Elsevier Ltd. All rights reserved.

Keywords

Boundary layer, Domain truncation, Galerkin-Legendre spectral method, MHD flow, Schauder theory

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