Advertisement

Applied Mathematics and Mechanics

, Volume 8, Issue 10, pp 901–910 | Cite as

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

  • Tsai Shu-tang
  • Ma Bai-kun
Article

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.

Keywords

Vortex Vorticity Turbulence Model Reynolds Stress Velocity Fluctuation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [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.zbMATHMathSciNetGoogle Scholar
  2. [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. [3]
    Launder, B.E. and D.B. Spalding,Mathematical Models of Turbulence, Academic Press, London and New York (1972).Google Scholar
  4. [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.Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1987

Authors and Affiliations

  • Tsai Shu-tang
    • 1
    • 2
  • Ma Bai-kun
    • 3
  1. 1.Dept. of Modern Mech.University of Science and Technology of ChinaHefei
  2. 2.Shanghai Institute of Applied Mathematics and MechanicsShanghai
  3. 3.Dept. of Modern Mech.University of Science and Technology of ChinaHefei

Personalised recommendations