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Application of the lie group theory to the analysis of flows in a turbulent boundary layer utilizing different turbulent viscosity models

Avramenko A. A., Kobzar S. G., Kuznetsov A. V., Bowen P. J.

International Journal of Applied Mechanics and Engineering

2003

Vol. 8, no 4

543-557

The properties of symmetry of turbulent boundary layer flows are studied utilizing the Lie group theory. The self-similar forms of the independent variables and the solution functions for the boundary-layer type flows for four models of turbulent viscosity are obtained. The developed approach of finding a self-similar transformation for turbulent boundary-layer problems makes it possible to obtain numerical and simplified analytical solutions for a number of important flow situations.