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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)35-44
Number of pages10
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume17
Issue number1
DOIs
Publication statusPublished - Jan 1 2012

Fingerprint

Thin Film Flow
Spectral Approximation
Galerkin Approximation
Non-Newtonian Fluid
Start-up
Porosity
Nonlinear Partial Differential Equations
Drainage
Partial differential equations
Porous Media
Porous materials
Flow of fluids
Momentum
Enhancement
Vertical
Oscillation
Fluid
Thin films
Fluids

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

Cite this

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Spectral approximation for a nonlinear partial differential equation arising in thin film flow of a non-Newtonian fluid. / Akyildiz, F. Talay; Siginer, Dennis A.; Kaplan, Huseyin.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 17, No. 1, 01.01.2012, p. 35-44.

Research output: Contribution to journalArticle

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