Lie group structure for the first problem of stoke’s for rotating flow of third grade fluid

In this dissertation the first problem of Stoke’s for the rotating flow of third grade fluid will be considered. A method known as Lie group method which reduces the system of nonlinear partial differential equations to a system of ordinary differential equations on the basis of the underlying symme...

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Main Author: Darafshani, Mehri Esmaeili
Format: Thesis
Language:English
Published: 2010
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Online Access:http://eprints.utm.my/id/eprint/16519/7/MehriEsmaeiliDarafshaniMFSA2010.pdf
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spelling my-utm-ep.165192017-09-18T04:38:57Z Lie group structure for the first problem of stoke’s for rotating flow of third grade fluid 2010 Darafshani, Mehri Esmaeili QA Mathematics In this dissertation the first problem of Stoke’s for the rotating flow of third grade fluid will be considered. A method known as Lie group method which reduces the system of nonlinear partial differential equations to a system of ordinary differential equations on the basis of the underlying symmetry structure has been adopted. The Lie method is quite useful in reducing a complex system to an easy-to-handle system of ordinary differential equation. As the governing equations describing the fluid motions are highly complex and nonlinear in nature. The Lie group method seems to be an appropriate choice to handle these nonlinear equations. In this dissertation the Lie group structure for problem will be found under discussion and thereby using the Lie symmetries to obtain the reductions. Further,a series type solution for the problem considered have been obtained. 2010 Thesis http://eprints.utm.my/id/eprint/16519/ http://eprints.utm.my/id/eprint/16519/7/MehriEsmaeiliDarafshaniMFSA2010.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
language English
topic QA Mathematics
spellingShingle QA Mathematics
Darafshani, Mehri Esmaeili
Lie group structure for the first problem of stoke’s for rotating flow of third grade fluid
description In this dissertation the first problem of Stoke’s for the rotating flow of third grade fluid will be considered. A method known as Lie group method which reduces the system of nonlinear partial differential equations to a system of ordinary differential equations on the basis of the underlying symmetry structure has been adopted. The Lie method is quite useful in reducing a complex system to an easy-to-handle system of ordinary differential equation. As the governing equations describing the fluid motions are highly complex and nonlinear in nature. The Lie group method seems to be an appropriate choice to handle these nonlinear equations. In this dissertation the Lie group structure for problem will be found under discussion and thereby using the Lie symmetries to obtain the reductions. Further,a series type solution for the problem considered have been obtained.
format Thesis
qualification_level Master's degree
author Darafshani, Mehri Esmaeili
author_facet Darafshani, Mehri Esmaeili
author_sort Darafshani, Mehri Esmaeili
title Lie group structure for the first problem of stoke’s for rotating flow of third grade fluid
title_short Lie group structure for the first problem of stoke’s for rotating flow of third grade fluid
title_full Lie group structure for the first problem of stoke’s for rotating flow of third grade fluid
title_fullStr Lie group structure for the first problem of stoke’s for rotating flow of third grade fluid
title_full_unstemmed Lie group structure for the first problem of stoke’s for rotating flow of third grade fluid
title_sort lie group structure for the first problem of stoke’s for rotating flow of third grade fluid
granting_institution Universiti Teknologi Malaysia, Faculty of Science
granting_department Faculty of Science
publishDate 2010
url http://eprints.utm.my/id/eprint/16519/7/MehriEsmaeiliDarafshaniMFSA2010.pdf
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