Analytical and numerical solutions of the problem of gravity-induced mixing of a light layer using the k–ε turbulence model

An analytical solution for the self-similar stage in the problem of gravity-induced turbulent mixing in a light (heavy) layer is obtained on the basis of the k – ε model equations. The solution obtained is compared with the results of a numerical investigation of the problem using both three-dimensi...

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Bibliographic Details
Published in:Fluid dynamics 2016-11, Vol.51 (6), p.745-756
Main Authors: Sin’kova, O. G., Statsenko, V. P., Yanilkin, Yu. V.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Classical Mechanics
Computational fluid dynamics
Computer simulation
Direct numerical simulation
Engineering Fluid Dynamics
Fluid- and Aerodynamics
Gravitation
K-epsilon turbulence model
Mathematical analysis
Mathematical models
Physics
Physics and Astronomy
Self-similarity
Three dimensional models
Turbulence models
Turbulent mixing
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Summary:An analytical solution for the self-similar stage in the problem of gravity-induced turbulent mixing in a light (heavy) layer is obtained on the basis of the k – ε model equations. The solution obtained is compared with the results of a numerical investigation of the problem using both three-dimensional direct numerical simulation and the k – ε model. The calculations were performed using the two- and three-dimensional versions of the EGAK method. The results of all the calculations and the available experimental data are in reasonable agreement.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462816060041