Approximate solution of the problem of flow in a far plane momentumless turbulent wake

The flow in a far plane momentumless turbulent wake is described using a mathematical model obtained from the algebraic Rodi model of Reynolds stresses. The model is similar to the two-parameter $(k-\varepsilon)$ turbulence model in the far-wake approximation with a modified empirical constant in the diffusion terms of the equations. A group-theoretical analysis of the mathematical model of the wake was carried out and and a self-similar reduction of the equations of models to a system of ordinary differential equations was performed. An approximate solution of the corresponding boundary value problem is constructed using an asymptotic expansion of the solution in the neighborhood of the singular point.