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

Tang, Shunlin; Antonia, Robert A.; Djenidi, Lyazid; Zhou, Yu

Title: Can small-scale turbulence approach a quasi-universal state?
Creator: Tang, Shunlin; Antonia, Robert A.; Djenidi, Lyazid; Zhou, Yu
Relation: Physical Review Fluids Vol. 4, Issue 2, no. 024607
Publisher Link: http://dx.doi.org/10.1103/PhysRevFluids.4.024607
Publisher: American Physical Society
Resource Type: journal article
Date: 2019
Description: 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.
Subject: turbulence; quasi-universal; analytical considerations
Identifier: http://hdl.handle.net/1959.13/1413685
Identifier: uon:36662
Identifier: ISSN:2469-990X
Language: eng
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