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2 International Journal of Applied Mechanics and Engineering

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Determination of von Karman's constant using group theoretic methods

Avramenko A. A., Basok B. I., Kuznetsov A. V.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 2

329-335

The goal of this research is to obtain a theoretical value of von Karaman's constant from the first principaIs by utilizing renormalization group (RG) results. Fourier decomposition obtained in RG theory of turbulence is considered in the limit of small wavenumbers. Utilizing RG results, a theoretical value of the coefficient in the dissipation rate equation is also obtained.

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.