Multi-affine model for the velocity distribution in fully turbulent flows

T. Vicsek, Albert-L.barabasi

Research output: Contribution to journalArticle

30 Citations (Scopus)


A simple multi-affine model for the velocity distribution in fully developed turbulent flows is introduced to capture the essential features of the underlying geometry of the velocity field. The authors show that in this model the various relevant quantities characterizing different aspects of turbulence can be readily calculated. A simultaneous good agreement is found with the available experimental data for the velocity structure functions, the D q spectra obtained from studies of the velocity derivatives, and the exponent describing the scaling of the spectrum of the kinetic energy fluctuations. Their results are obtained analytically assuming a single free parameter. The fractal dimension of the region where the dominating contribution to dissipation comes from is estimated to be D approximately=2.88.

Original languageEnglish
Article number010
Pages (from-to)L845-L851
JournalJournal of Physics A: General Physics
Issue number15
Publication statusPublished - Dec 1 1991


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

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