Collapse of the turbulent dissipative range on Kolmogorov scales | Zendy

R. A. Antonia | Zendy; L. Djenidi | Zendy; Luminita Danaila | Zendy

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Collapse of the turbulent dissipative range on Kolmogorov scales

Author(s) -

R. A. Antonia,

L. Djenidi,

Luminita Danaila

Publication year - 2014

Publication title -

physics of fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.188

H-Index - 180

eISSN - 1089-7666

pISSN - 1070-6631

DOI - 10.1063/1.4869305

Subject(s) - physics , turbulence , taylor microscale , kolmogorov microscales , reynolds number , dissipative system , scaling , statistical physics , compressibility , microscale chemistry , isotropy , reynolds decomposition , k epsilon turbulence model , intermittency , classical mechanics , reynolds stress equation model , mechanics , k omega turbulence model , thermodynamics , geometry , mathematics , reynolds equation , quantum mechanics , mathematics education

It is pointed out that the collapse of the turbulent dissipative range on Kolmogorov scales does not require either of the two major assumptions in Kolmogorov's [“The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers,” Dokl. Akad. Nauk USSR30, 299 (1941)] similarity hypothesis, i.e., R λ, the Taylor microscale Reynolds number, is very large and local isotropy is satisfied. In particular, the Kolmogorov velocity and length scales are shown to be the appropriate normalization scales when the large-scale terms in the transport equations for the second-order statistics can be neglected. Evidence for this scaling is discussed critically on the basis of the available data. It is also shown that this scaling breaks down when R λ becomes too small, typically below 20

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