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 reduc...

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Bibliographic Details
Published in:Fluid dynamics 2019-03, Vol.54 (2), p.239-243
Main Author: Schmidt, A. V.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Classical Mechanics
Differential equations
Empirical analysis
Energy dissipation
Engineering Fluid Dynamics
Fluid- and Aerodynamics
Kinetic energy
Ordinary differential equations
Physics
Physics and Astronomy
Self-similarity
Turbulence models
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Summary: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.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462819010130