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2019 | OriginalPaper | Chapter

K41 Versus K62: Recent Developments

Authors : R. A. Antonia, S. L. Tang, L. Danaila, L. Djenidi, Y. Zhou

Published in: Fluid-Structure-Sound Interactions and Control

Publisher: Springer Singapore

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Abstract

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. Our recent work suggests that there are no valid reasons for abandoning K41. In particular, analytical considerations, based on the NS equations, which take into account the finite Reynolds number (FRN) effect, together with the available experimental laboratory data, seem to confirm a tendency towards the simple and elegant predictions of K41 as the Reynolds number increases. This is especially true when the focus is on the length scales which lie in the dissipative range. Incorrectly accounting for the FRN effect and the inclusion of the atmospheric surface layer (ASL) data, likely to have been affected by the proximity to the surface, appear to be the major factors which have contributed to a nearly unchallenged acceptance of K62.

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Metadata
Title
K41 Versus K62: Recent Developments
Authors
R. A. Antonia
S. L. Tang
L. Danaila
L. Djenidi
Y. Zhou
Copyright Year
2019
Publisher
Springer Singapore
Book
Fluid-Structure-Sound Interactions and Control

Print ISBN: 978-981-10-7541-4

Electronic ISBN: 978-981-10-7542-1

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-981-10-7542-1_1

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