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Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method

The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of a constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame. HAM is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problem...

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Main Authors: Abdul Aziz, Zainal, Nazari, Mojtaba, Salah, Faisal, Ling, Dennis Chuan Chin
Format: Article
Published: 2012
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/46734/
http://dx.doi.org/10.1155/2012/601917
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spelling my.utm.467342017-09-19T00:52:38Z http://eprints.utm.my/id/eprint/46734/ Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method Abdul Aziz, Zainal Nazari, Mojtaba Salah, Faisal Ling, Dennis Chuan Chin QA Mathematics The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of a constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame. HAM is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. The approximate analytic solution for constant accelerated flow is obtained by using HAM. HAM contains the auxiliary parameter which provides us with a straightforward way to obtain the convergence region of the series solution. Graphical results are plotted and the consequences discussed. The obtained solutions clearly satisfy the governing equations and all the imposed initial and boundary conditions. Many interesting results can be obtained as the special cases of the presented analysis. The influence of the material parameters of a third-grade fluid and rotation upon the velocity field is finally deliberated. 2012 Article PeerReviewed Abdul Aziz, Zainal and Nazari, Mojtaba and Salah, Faisal and Ling, Dennis Chuan Chin (2012) Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method. Mathematical Problems in Engineering . ISSN 1024-123X http://dx.doi.org/10.1155/2012/601917
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Abdul Aziz, Zainal
Nazari, Mojtaba
Salah, Faisal
Ling, Dennis Chuan Chin
Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method
description The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of a constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame. HAM is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. The approximate analytic solution for constant accelerated flow is obtained by using HAM. HAM contains the auxiliary parameter which provides us with a straightforward way to obtain the convergence region of the series solution. Graphical results are plotted and the consequences discussed. The obtained solutions clearly satisfy the governing equations and all the imposed initial and boundary conditions. Many interesting results can be obtained as the special cases of the presented analysis. The influence of the material parameters of a third-grade fluid and rotation upon the velocity field is finally deliberated.
format Article
author Abdul Aziz, Zainal
Nazari, Mojtaba
Salah, Faisal
Ling, Dennis Chuan Chin
author_facet Abdul Aziz, Zainal
Nazari, Mojtaba
Salah, Faisal
Ling, Dennis Chuan Chin
author_sort Abdul Aziz, Zainal
title Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method
title_short Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method
title_full Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method
title_fullStr Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method
title_full_unstemmed Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method
title_sort constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method
publishDate 2012
url http://eprints.utm.my/id/eprint/46734/
http://dx.doi.org/10.1155/2012/601917
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score 13.211869

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