Self-Similar Solutions of the Model k − ω for a Turbulent Far Wake

The semi-empirical k − ω turbulence model is considered in the far wake approximation. In this model the unknown quantities are the deficit of the mean velocity, the turbulent kinetic energy, and the specific energy dissipation rate. The group-theoretic analysis of the model is performed and a reduced self-similar system of ordinary differential equations is obtained and solved numerically. The calculated results are shown to be in good agreement with the available experimental data.