A Simplified Theory of Intermittent Fully-Developed Turbulence

  • H. Mori
  • H. Fujisaka
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 5)


Fully-developed turbulence consists of hierarchies of eddies of various sizes, where a small-scale eddy is generated from a larger eddy and disintegrates into smaller eddies of about the half-length size in a finite time. Using FRISCH-SULEM-NELKIN’s β-model of in-termittency in a slightly-extended form, we discuss how many eddies are generated from one eddy by the energy cascade. Let N be the mean number of offspring for one cascade step. For the β-model, the 1941 KOLMOGOROV theory leads to N=23, whereas a recent theory of FUJISAKA and MORI leads to N≃6.32. This number is related to the intermit-tency exponent µ by µ=3-log2N ≃0.341. This is in agreement with the experiments µexp =0.3~0.4.


Turbulent Kinetic Energy Information Entropy Dissipative Structure Inertial Range Energy Cascade 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • H. Mori
    • 1
  • H. Fujisaka
    • 1
  1. 1.Department of PhysicsKyushu UniversityFukuoka 812Japan

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