An Accurate Solution for the Steady Flow of Third-Grade Fluid in a Porous Half Space

In this paper, a simple and efficient analysis technique, Hankel-Pade method, is proposed to find the solution of anonlinear ordinary differential equation that appears in the studyof the steady flow of the third-grade fluid in a porous halfspace. The numerical solutions  for some cases of the model...

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Main Authors: Saeid ABBASBANDY, Hadi Roohani GHEHSAREH, Ishak HASHIM
Format: Article
Language:English
Published: Walailak University 2012-03-01
Series:Walailak Journal of Science and Technology
Subjects:
Online Access:http://wjst.wu.ac.th/index.php/wjst/article/view/248
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spelling doaj-5666c1b0d7754f37b7a769ccdf57fbec2020-11-25T01:15:33ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2012-03-019210.2004/wjst.v9i2.248216An Accurate Solution for the Steady Flow of Third-Grade Fluid in a Porous Half SpaceSaeid ABBASBANDY0Hadi Roohani GHEHSAREH1Ishak HASHIM2Department of Mathematics, Imam Khomeini International University, Ghazvin 34149Department of Mathematics, Imam Khomeini International University, Ghazvin 34149Centre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi SelangorIn this paper, a simple and efficient analysis technique, Hankel-Pade method, is proposed to find the solution of anonlinear ordinary differential equation that appears in the studyof the steady flow of the third-grade fluid in a porous halfspace. The numerical solutions  for some cases of the model'sparameters are obtained by using Hankel-Pade method. Theconvergence of the Hankel sequences is analyzed. Comparison toother available results for these problems reveals reliability andhigh accuracy of the proposed technique. Also the simpleanalytical expressions of the solutions of the governingnon-linear boundary-layer problems are developed as rationalapproximation solutions. The effectivity and convergence of therational approximation solutions are investigated by theillustrative graphs and tables.http://wjst.wu.ac.th/index.php/wjst/article/view/248Third-grade fluidporous half spaceanalytical solutionPadé approximationHankel-Padé method
collection DOAJ
language English
format Article
sources DOAJ
author Saeid ABBASBANDY
Hadi Roohani GHEHSAREH
Ishak HASHIM
spellingShingle Saeid ABBASBANDY
Hadi Roohani GHEHSAREH
Ishak HASHIM
An Accurate Solution for the Steady Flow of Third-Grade Fluid in a Porous Half Space
Walailak Journal of Science and Technology
Third-grade fluid
porous half space
analytical solution
Padé approximation
Hankel-Padé method
author_facet Saeid ABBASBANDY
Hadi Roohani GHEHSAREH
Ishak HASHIM
author_sort Saeid ABBASBANDY
title An Accurate Solution for the Steady Flow of Third-Grade Fluid in a Porous Half Space
title_short An Accurate Solution for the Steady Flow of Third-Grade Fluid in a Porous Half Space
title_full An Accurate Solution for the Steady Flow of Third-Grade Fluid in a Porous Half Space
title_fullStr An Accurate Solution for the Steady Flow of Third-Grade Fluid in a Porous Half Space
title_full_unstemmed An Accurate Solution for the Steady Flow of Third-Grade Fluid in a Porous Half Space
title_sort accurate solution for the steady flow of third-grade fluid in a porous half space
publisher Walailak University
series Walailak Journal of Science and Technology
issn 1686-3933
2228-835X
publishDate 2012-03-01
description In this paper, a simple and efficient analysis technique, Hankel-Pade method, is proposed to find the solution of anonlinear ordinary differential equation that appears in the studyof the steady flow of the third-grade fluid in a porous halfspace. The numerical solutions  for some cases of the model'sparameters are obtained by using Hankel-Pade method. Theconvergence of the Hankel sequences is analyzed. Comparison toother available results for these problems reveals reliability andhigh accuracy of the proposed technique. Also the simpleanalytical expressions of the solutions of the governingnon-linear boundary-layer problems are developed as rationalapproximation solutions. The effectivity and convergence of therational approximation solutions are investigated by theillustrative graphs and tables.
topic Third-grade fluid
porous half space
analytical solution
Padé approximation
Hankel-Padé method
url http://wjst.wu.ac.th/index.php/wjst/article/view/248
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