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Turbulent Statistics in terms of coherent structure in the boundary layer

https://doi.org/10.18384/2310-7251-2021-4-75-85

Abstract

Aim of study: investigation the ergodicity of a dynamical system for a set equations of amplitudes Tollmien-Schlichting waves, with the help of approximation stochastic behavior of turbulent pulsations, and comparison the pulsation characteristics of a developed turbulent boundary layer in terms of the waveguide model with experiment at zero pressure gradient. Methodology. The paper uses machine analytics and a complex of MATHEMATICA application programs. A number of results are obtained on the basis of dynamical systems theory. Results. The convergence of time averages and phase averages is shown. In addition, a good convergence of the theoretical results due to the coherent component with the experimental results has been demonstrated. Research implication.The applicability of the waveguide model for studying the statistics of flow velocity pulsations in the turbulent boundary layer for an incompressible fluid at zero pressure gradient is shown.

About the Author

S. S. Selim
Moscow Institute of Physics and Technology (National Research University); Tanta University
Russian Federation


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