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

F. Talay Akyildiz; Dennis A. Siginer; Huseyin Kaplan

doi:10.1016/j.cnsns.2011.04.009

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

F. Talay Akyildiz
, Dennis A. Siginer
, Huseyin Kaplan

Mechanical, Energy and Industrial Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	35-44
Number of pages	10
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	17
Issue number	1
DOIs	https://doi.org/10.1016/j.cnsns.2011.04.009
Publication status	Published - Jan 2012

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modelling and Simulation
General Engineering
Applied Mathematics

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10.1016/j.cnsns.2011.04.009

Cite this

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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.",

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

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AU - Siginer, Dennis A.

AU - Kaplan, Huseyin

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Y1 - 2012/1

N2 - 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.

AB - 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.

KW - Drainage rate

KW - Film flow

KW - Fourier-Galerkin method

KW - Third-grade fluid

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

Abstract

All Science Journal Classification (ASJC) codes

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