Abstract
The statistical modeling of fluctuating kinetic energy in turbulent and non-turbulent fluid of a turbulent flow are presented and self-similar solutions applied to budget equations of conditionally averaged fluctuating kinetic energy are obtained. The equations were constructed on basis of the method of autonomous statistical modeling of turbulent flows (ASMTurb method) and allow to calculate the conditional averages both fluctuating kinetic energy and terms of the budget equations. The total statistical averages are found with help algebraic ratios between total and conditional averages through the agency of external intermittency factor. Testing the ASMTurb method is presented in the form of ASMTurb model for self-similar region of the two-stream plane mixing layer. Test results showed that the constructed here ASMTurb model is deeper and more accurate than RANS model. A comparison is performed between predictions and known experimental data for energy-containing fluctuating structure of the turbulent flow in mixing layer and excellent agreements are noted.