K41 Versus K62: Recent Developments

  • R. A. Antonia
  • S. L. TangEmail author
  • L. Danaila
  • L. Djenidi
  • Y. Zhou
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


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.



SL Tang wishes to acknowledge support given to him from NSFC through grant 11702074.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • R. A. Antonia
    • 1
  • S. L. Tang
    • 1
    Email author
  • L. Danaila
    • 3
  • L. Djenidi
    • 2
  • Y. Zhou
    • 1
  1. 1.Institute for Turbulence-Noise-Vibration Interaction and ControlShenzhen Graduate School, Harbin Institute of TechnologyShenzhenPeople’s Republic of China
  2. 2.School of EngineeringUniversity of NewcastleNSWAustralia
  3. 3.CORIA CNRS UMR 6614, Université de Rouen NormandieSaint Etienne du RouvrayFrance

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