Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface

Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface

Consideration is given to the free drainage of an Oldroyd four-constant liquid from a vertical porous surface. The governing systems of quasilinear partial differential equations are solved by the Fourier-Galerkin spectral method. It is shown that Fourier-Galerkin approximations are convergent with...

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Main Authors: F. Talay Akyildiz, Mehmet Emir Koksal, Nurhan Kaplan
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/285809
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spelling doaj-3a60697f4c1649f0b5ce474d131e08732020-11-24T22:40:13ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/285809285809Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical SurfaceF. Talay Akyildiz0Mehmet Emir Koksal1Nurhan Kaplan2Department of Mathematics, University of Gaziantep, 27310 Gaziantep, TurkeyDepartment of Elementary Mathematics Education, Mevlana University, 42003 Konya, TurkeyDepartment of Mathematics, Nigde University, 51240 Nigde, TurkeyConsideration is given to the free drainage of an Oldroyd four-constant liquid from a vertical porous surface. The governing systems of quasilinear partial differential equations are solved by the Fourier-Galerkin spectral method. It is shown that Fourier-Galerkin approximations are convergent with spectral accuracy. An efficient and accurate algorithm based on the Fourier-Galerkin approximations for the governing system of quasilinear partial differential equations is developed and implemented. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented. The effect of the material parameters, elasticity, and porous medium constant on the centerline velocity and drainage rate is discussed.http://dx.doi.org/10.1155/2011/285809
collection DOAJ
language English
format Article
sources DOAJ
author F. Talay Akyildiz
Mehmet Emir Koksal
Nurhan Kaplan
spellingShingle F. Talay Akyildiz
Mehmet Emir Koksal
Nurhan Kaplan
Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface
Discrete Dynamics in Nature and Society
author_facet F. Talay Akyildiz
Mehmet Emir Koksal
Nurhan Kaplan
author_sort F. Talay Akyildiz
title Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface
title_short Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface
title_full Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface
title_fullStr Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface
title_full_unstemmed Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface
title_sort spectral approximation of an oldroyd liquid draining down a porous vertical surface
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2011-01-01
description Consideration is given to the free drainage of an Oldroyd four-constant liquid from a vertical porous surface. The governing systems of quasilinear partial differential equations are solved by the Fourier-Galerkin spectral method. It is shown that Fourier-Galerkin approximations are convergent with spectral accuracy. An efficient and accurate algorithm based on the Fourier-Galerkin approximations for the governing system of quasilinear partial differential equations is developed and implemented. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented. The effect of the material parameters, elasticity, and porous medium constant on the centerline velocity and drainage rate is discussed.
url http://dx.doi.org/10.1155/2011/285809
work_keys_str_mv AT ftalayakyildiz spectralapproximationofanoldroydliquiddrainingdownaporousverticalsurface
AT mehmetemirkoksal spectralapproximationofanoldroydliquiddrainingdownaporousverticalsurface
AT nurhankaplan spectralapproximationofanoldroydliquiddrainingdownaporousverticalsurface
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