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

T. Vicsek, Albert-L.barabasi

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

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
JournalJournal of Physics A: General Physics
Volume24
Issue number15
DOIs
Publication statusPublished - 1991

Fingerprint

Velocity Distribution
Velocity distribution
Turbulent Flow
turbulent flow
Turbulent flow
velocity distribution
Structure-function
Kinetic energy
Fractal Dimension
Velocity Field
Dissipation
Turbulence
fractals
dissipation
kinetic energy
turbulence
Exponent
Experimental Data
exponents
Scaling

ASJC Scopus subject areas

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

Cite this

Multi-affine model for the velocity distribution in fully turbulent flows. / Vicsek, T.; Albert-L.barabasi.

In: Journal of Physics A: General Physics, Vol. 24, No. 15, 010, 1991.

Research output: Contribution to journalArticle

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