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Symmetry analysis of rotating fluid

Published online by Cambridge University Press:  17 February 2009

K. Fakhar ,
Zu-Chi Chen  and
Xiaoda Ji
K. Fakhar
Affiliation:
Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China; e-mail: [email protected].
Zu-Chi Chen
Affiliation:
Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China; e-mail: [email protected].
Xiaoda Ji
Affiliation:
Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China; e-mail: [email protected].
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Abstract

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The machinery of Lie theory (groups and algebras) is applied to the unsteady equations of motion of rotating fluid. A special-function type solution for the steady state is derived. It is then shown how the solution generates an infinite number of time-dependent solutions via three arbitrary functions of time. This algebraic structure also provides the mechanism to search for other solutions since its character is inferred from the basic equations.

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 1 , July 2005 , pp. 65 - 74
Copyright
Copyright © Australian Mathematical Society 2005

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