Spectral approximation for a nonlinear partial differential equation arising in thin film flow of a non-Newtonian fluid

Journal article

Authors / Editors

Siginer, Dennis

Research Areas

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Publication Details

Author list: Akyildiz FT, Siginer DA, Kaplan H

Publisher: Elsevier

Place: AMSTERDAM

Publication year: 2012

Journal: Communications in Nonlinear Science and Numerical Simulation (1007-5704)

Journal acronym: COMMUN NONLINEAR SCI

Volume number: 17

Issue number: 1

Start page: 35

End page: 44

Number of pages: 10

ISSN: 1007-5704

eISSN: 1878-7274

Languages: English-Great Britain (EN-GB)

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Abstract

Start-up thin film flow of fluids of grade three over a vertical longitudinally oscillating solid wall in a porous medium is investigated. The governing non-linear partial differential equation representing the momentum balance is solved by the Fourier-Galerkin approximation. The effect of the porosity, material constants as well as oscillations on the drainage rate and flow enhancement is explored and clarified. (C) 2011 Elsevier B.V. All rights reserved.

Keywords

Drainage rate, Film flow, Fourier-Galerkin method, Third-grade fluid

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