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The separation of large vortexes and the closed equations of turbulence model

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Abstract

This paper presents a new kind of average for the locally-generated large vortexes so that the physical quantities of the locally-generated large vortexes and the external large vortexes can be rigorously separated from the equations for the large vortexes proposed in a previous paper. To the equations for the two kinds of large vortexes, some auxiliary relations are introduced, and the value of the length-scale lN of energy dissipation of the external large vortexes may be determined according to the actual circumstances of the disturbance of external sources. Thus, the resulting equations of the second moments of turbulent velocity fluctuations for the two kinds of large vortexes can be made closed, Meanwhile, the corresponding coefficients of diffusion in the previous paper are improved. Finally, a closed set of numerically-solvable equations of turbulence model are obtained.

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Authors and Affiliations

  1. Shanghai Inst. of Appl. Math. and Mech., Shanghai Univ. of Tech., Shanghai

    Lin Duo-min & Tsai Shu-tang

  2. Dept. of Modern Mech., Univ. of Sci. and Tech. of China, Hefei

    Tsai Shu-tang

Authors
  1. Lin Duo-min
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  2. Tsai Shu-tang
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Additional information

The Project Supported by National Natural Science Foundation of China. This paper was published in the Fourth National Fluid Mechanics Conference. Beijing, China. March (1989).

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Duo-min, L., Shu-tang, T. The separation of large vortexes and the closed equations of turbulence model. Appl Math Mech 10, 897–908 (1989). https://doi.org/10.1007/BF02017515

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  • DOI: https://doi.org/10.1007/BF02017515

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