ANZIAM J.
47 (2005), 65-74
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Symmetry analysis of rotating fluid
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K. Fakhar
Department of Mathematics
University of Science and Technology of China
Hefei
Anhui 230026
P. R. China
kamranfakhar@yahoo.com
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Zu-Chi Chen
Department of Mathematics
University of Science and Technology of China
Hefei
Anhui 230026
P. R. China
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Xiaoda Ji
Department of Mathematics
University of Science and Technology of China
Hefei
Anhui 230026
P. R. China
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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.
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Australian Mathematical Publishing Association Inc.
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Australian MS
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