Can small-scale turbulence approach a quasi-universal state?

被引:10
作者
Tang, Shunlin [1 ]
Antonia, Robert A. [2 ]
Djenidi, Lyazid [2 ]
Zhou, Yu [1 ,3 ]
机构
[1] Harbin Inst Technol, Inst Turbulence Noise Vibrat Interact & Control, Shenzhen Grad Sch, Shenzhen 518055, Peoples R China
[2] Univ Newcastle, Discipline Mech Engn, Sch Engn, Newcastle, NSW 2308, Australia
[3] Digital Engn Lab Offshore Equipment, Shenzhen 518055, Peoples R China
基金
澳大利亚研究理事会;
关键词
REYNOLDS-NUMBER DEPENDENCE; ENERGY-DISSIPATION RATE; TRANSPORT-EQUATION; SELF-PRESERVATION; LOCAL-STRUCTURE; VELOCITY; INTERMITTENCY; HYPOTHESIS; SIMILARITY; STATISTICS;
D O I
10.1103/PhysRevFluids.4.024607
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
For the past 50 years or so, Kolmogorov's (1962) correction (K62) to his 1941 hypotheses (K41) has been embraced by an overwhelming majority of turbulence researchers. However, we show in this paper that there are no valid reasons for abandoning K41, a similarity framework known for its simplicity and elegance. In particular, analytical considerations, based on the Navier-Stokes equations, which take into account the finite Reynolds number (FRN) effect, together with all available experimental laboratory data, confirm a tendency towards the universal predictions of K41 as the Reynolds number continues to increase. This is especially true when the focus is on the energy spectrum and velocity structure function in the dissipative range. Incorrectly accounting for the FRN effect, which has been almost invariably mistaken for the intermittency effect, and the inclusion of the atmospheric surface layer data are the major factors which have contributed to the heretofore almost unrivalled acceptance of K62.
引用
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页数:12
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