ANZIAM J.
47 (2005), 6574

Symmetry analysis of rotating fluid

K. Fakhar
Department of Mathematics
University of Science and Technology of China
Hefei
Anhui 230026
P. R. China
kamranfakhar@yahoo.com


ZuChi Chen
Department of Mathematics
University of Science and Technology of China
Hefei
Anhui 230026
P. R. China



Xiaoda Ji
Department of Mathematics
University of Science and Technology of China
Hefei
Anhui 230026
P. R. China



Abstract

The machinery of Lie theory (groups and
algebras) is applied to the unsteady equations of
motion of rotating fluid. A specialfunction type
solution for the steady state is derived. It is
then shown how the solution generates an infinite
number of timedependent 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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