Skip to main content
SpringerLink
Log in

The double and triple velocity correlations of small vortexes in three-vortex model theory and the decay of grid-produced turbulence

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In the three-vortex model theory of turbulence [1,2] and double and the triple velocity correlation functions of small vortexes were employed. In this paper, the double and the triple velocity correlation functions of small vortexes are further discussed, and the expressions of some coefficients in the expansions in terms of relative displacement of two points are given. Finally, by using these coefficients, the decay of grid-produced trubulence is calculated. The result of calculations gives good agreement with the experimental data of G.K. Batchelor and A.A.Townsend [3].

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Tsai Shu-tang and Ma Bai-kun, A new turbulence model with the separate consideration of large and small vortexes,Appl. Math. Mech.,8, 10 (1987), 901–910.

    Google Scholar 

  2. Lin Duo-min and Tsai Shu-tang, The separation of large vortexes and the closed equations of turbulence model,Appl. Math. and Mech.,10, 10 (1989), 897–908.

    Google Scholar 

  3. Batchelor, G.K.and A.A. Townsend, Decay of turbulence in the final period,Proc. Roy. Soc. London, A194 (1948), 527–543.

    Google Scholar 

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

    Google Scholar 

  5. Wei Zhong-lei, Zhu Qian-kang, Niu Zhen-nan and Yu Da-cheng, The experimental results of micro-structure in grid-produced turbulence,Acta Mechanica Sinica,20, 3 (1988), 200–205. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shanghai Inst. of Appl. Math. and Mech., Shanghai University of Technology, Shanghai

    Lin Duo-min & Tsai Shu-tang

  2. Univ. of Sci. Tech. of China, Hefei

    Tsai Shu-tang

Authors
  1. Lin Duo-min
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tsai Shu-tang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The projects Supported by the National Natural Science Foundation of China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duo-min, L., Shu-tang, T. The double and triple velocity correlations of small vortexes in three-vortex model theory and the decay of grid-produced turbulence. Appl Math Mech 11, 703–708 (1990). https://doi.org/10.1007/BF02015144

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02015144

Keywords

Search

Navigation