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Mathematics
In this report we consider the two-dimensional steady-state turbulence model. We proved that the symmetry algebra is generated by the two dilatation operators and by the three translation operators. It is easy to see that the axisymmetric model does not admit one of the dilatation operators.
We can found solution which describes turbulent wake in the two-dimensional case. This solution is generated by linear combination of the dilatation operators. The obtained solution has velocity and energy matching with experimental data.
This work was supported in part by the Russian Foundation for Basic Research (the grants 04-01-00209 and 04-01-00130).
Note. Abstracts are published in author's edition
Last update: 06-Jul-2012 (11:52:45)