4.4 Article

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

Journal

PHYSICAL REVIEW FLUIDS
Volume 4, Issue 2, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevFluids.4.024607

Keywords

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Funding

  1. Australian Research Council
  2. NSFC [11632006]

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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.

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