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Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (8): 703-708.

• 论文 •    下一篇

THE DOUBLE AND TRIPLE VELOCITY CORRELATIONS OF SMALL VORTEXES IN THREE-VORTEX MODEL THEORY AND THE DECAY OF GRID-PRODUCED TURBULENCE

林多敏1, 蔡树棠2   

  1. 1. Shanghai Inst. of Appl. Math. and Mech., Shanghai University of Technology, Shanghai;
    2. Univ. of Sci. Tech. of China, Hefei; Shanghai Inst. of Appl. Math. Mech., Shanghai University of Technology, Shanghai
  • 收稿日期:1989-05-22 出版日期:1990-08-18 发布日期:1990-08-18
  • 基金资助:
    National Natural Science Foundation of China

THE DOUBLE AND TRIPLE VELOCITY CORRELATIONS OF SMALL VORTEXES IN THREE-VORTEX MODEL THEORY AND THE DECAY OF GRID-PRODUCED TURBULENCE

Lin Duo-min1, Tsai Shu-tang2   

  1. 1. Shanghai Inst. of Appl. Math. and Mech., Shanghai University of Technology, Shanghai;
    2. Univ. of Sci. Tech. of China, Hefei; Shanghai Inst. of Appl. Math. Mech., Shanghai University of Technology, Shanghai
  • Received:1989-05-22 Online:1990-08-18 Published:1990-08-18
  • Supported by:
    National Natural Science Foundation of China

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摘要： 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].

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].

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