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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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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