The Double and Triple Velocity Correlations of Small Vortexes in Three-Vortex Model Theory and the Decay of Grid Produced Turbulence

Lin Duo-min; Cai Shu-tang

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Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(8): 659-664

Lin Duo-min, Cai Shu-tang. The Double and Triple Velocity Correlations of Small Vortexes in Three-Vortex Model Theory and the Decay of Grid Produced Turbulence[J]. Applied Mathematics and Mechanics, 1990, 11(8): 659-664.

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The Double and Triple Velocity Correlations of Small Vortexes in Three-Vortex Model Theory and the Decay of Grid Produced Turbulence

Lin Duo-min¹,
Cai Shu-tang²

1.
Shanghai Inst. of Appl. Math. Mech, Shanghai University of Technology, Shanghai;
2.
Univ. of Sci. Tech. of China, Hefei, Shanghai Inst. ofAppl, Math. Mech, Shanghai University ofTechnology, Shanghai

Received Date: 1989-05-22
Publish Date: 1990-08-15

Abstract

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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References(5)

References

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[3]	Batchelor,G.K.and A.A.Townsend,Decay of turbulence in the final period,Proc.Roy.Soc.London,A 194(1948),527-543.
[4]	Chou,P.V..(周培源),On the velocity correlations and the solutions of the equations of turbulent fluctuation,Quarterly of Applied Mathematics,3,1(1945),38-54.
[5]	瑰中磊、诸乾康、钮珍南、俞达诚,网格湍流微结构的实验研究,力学学报,20,3(1988)200-206.