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Experimental Check of Infinite Divisibility for the Velocity Cascade in Developed Turbulence

  • A. Naert
  • B. Chabaud
  • B. Hébral
  • B. Castaing
Conference paper
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 36)

Abstract

Interest raised recently about Infinite Divisibility [1, 2] of dissipation logarithm distributions (IDD) and Extended Self Similarity (ESS) [3] of velocity difference moments [4]. However the largest confusion exists about experimental tests. The relation between IDD and ESS lie on the Kol-mogorov refined hypothesis [5] whose verification is not exempt of problems [6, 7]. On the other hand, the multifractal approach [8] and others focused on a distribution of local velocity amplitudes independently of the dissipation field. Some generalizations [9] have been shown [10] to yield both ESS and infinite divisibility for the distributions of logarithms of these velocity amplitudes (the last one hereafter refered as ID).

Keywords

Reynolds Number High Reynolds Number Velocity Amplitude Infinite Divisibility Levy Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • A. Naert
    • 1
  • B. Chabaud
    • 1
  • B. Hébral
    • 1
  • B. Castaing
    • 1
  1. 1.CRTBT, laboratoire associé à l’UJFCNRSGrenoble-Cedex 9France

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