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

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.