Universiti Teknologi Malaysia Institutional Repository

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

Darafshani, Mehri Esmaeili (2010) Lie group structure for the first problem of stoke’s for rotating flow of third grade fluid. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

[img]
Preview
PDF
36Kb
[img]
Preview
PDF
84Kb
[img]
Preview
PDF
31Kb

Abstract

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.

Item Type:Thesis (Masters)
Additional Information:Thesis (Sarjana Sains (Matematik)) - Universiti Teknologi Malaysia, 2010; Supervisor : Dr. Kamran Fakhar
Uncontrolled Keywords:lie groups, problem of Stoke’s, third grade fluid
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:16519
Deposited By: Ms Zalinda Shuratman
Deposited On:01 Feb 2012 04:54
Last Modified:01 Feb 2012 05:00

Repository Staff Only: item control page