Small scale turbulence and the finite Reynolds number effect

被引:28
作者
Antonia, R. A. [1 ]
Djenidi, L. [1 ]
Danaila, L. [2 ]
Tang, S. L. [3 ]
机构
[1] Univ Newcastle, Sch Engn, Newcastle, NSW 2308, Australia
[2] Univ Rouen, CORIA CNRS UMR 6614, F-76801 St Etienne, France
[3] Harbin Inst Technol, Shenzhen Grad Sch, Inst Turbulence Noise Vibrat Interact & Control, Shenzhen 518055, Peoples R China
基金
澳大利亚研究理事会;
关键词
VELOCITY STRUCTURE FUNCTIONS; ENERGY-DISSIPATION; INERTIAL-RANGE; DEPENDENCE; SKEWNESS; INTERMITTENCY; STATISTICS; VORTICITY; EQUATION; FLATNESS;
D O I
10.1063/1.4974323
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Failure to recognize the importance of the finite Reynolds number effect on small scale turbulence has, by and large, resulted in misguided assessments of the first two hypotheses of Kolmogorov ["Local structure of turbulence in an incompressible fluid for very large Reynolds numbers," Dokl. Akad. Nauk SSSR 30, 299-303 (1941)] or K41 as well as his third hypothesis [A. N. Kolmogorov, " A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number," J. Fluid Mech. 13, 82-85 (1962)] or K62. As formulated by Kolmogorov, all three hypotheses require local isotropy to be valid and the Reynolds number to be very large. In the context of the first hypothesis, there is now strong evidence to suggest that this requirement can be significantly relaxed, at least for dissipative scales and relatively low order moments of the velocity structure function. As the scale increases, the effect of the large scale motion on these moments becomes more prominent and higher Reynolds numbers are needed before K41 and K62 can be tested unambiguously.
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页数:9
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