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A new turbulence model with the separate consideration of large and small vortexes

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Abstract

Recently the k-ε model has been widely used, but it is a kind of gradient model. Because the life-time of turbulence vortexes is very long, in common flow problems the influence of up-stream vortexes must be important, and the vortexes are not in quasi-equilibrium. So the usefulness of the k-ε model and other gradient models is limited. In this paper, according to actual cases of the turbulence, the velocity fluctuations are separated into large and small vortexes, and the large vortexes consist of two parts, one comes from up-stream and around, the other is locally generated. Thus we get a turbulence model, which consists of three parts.

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References

  1. Chou, P.Y., On velocity correlations and the solutions to the equations of turbulent fluctuation,Quarterly of Applied Mathematics,3, 1, April (1945), 38–54.

    MATH  MathSciNet  Google Scholar 

  2. Chou, P.Y., On velocity correlations and the equations on turbulent vorticity fluctuation,Science Reports of Tsinghua University,5, 1, April (1948), 1–19.

    Google Scholar 

  3. Launder, B.E. and D.B. Spalding,Mathematical Models of Turbulence, Academic Press, London and New York (1972).

    Google Scholar 

  4. Launder, B.E., W.C. Reynolds, W. Rodi, J. Mathieu and D. Jeandel,Turbulence Models and Their Applications, Editions Eyrolles (1984), ISSN 0399-4198, Collections de la Direction des Etudes et Recherches d’Electrite de France, 56 CEA-EDF InRiA.

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Authors and Affiliations

  1. Dept. of Modern Mech., University of Science and Technology of China, Hefei

    Tsai Shu-tang

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

    Tsai Shu-tang

  3. Dept. of Modern Mech., University of Science and Technology of China, Hefei

    Ma Bai-kun

Authors
  1. Tsai Shu-tang
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  2. Ma Bai-kun
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Shu-tang, T., Bai-kun, M. A new turbulence model with the separate consideration of large and small vortexes. Appl Math Mech 8, 901–910 (1987). https://doi.org/10.1007/BF02454252

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  • DOI: https://doi.org/10.1007/BF02454252

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