Towards a dynamical theory of multifractals in turbulence

Victor Yakhot, K. R. Sreenivasan

Research output: Contribution to journalArticlepeer-review

Abstract

Making use of the exact equations for structure functions, supplemented by the equations for dissipative anomaly as well as an estimate for the Lagrangian acceleration of fluid particles, we obtain a main result of the multifractal theory of turbulence. The central element of the theory is a dissipation cut-off that depends on the order of the structure function. An expression obtained for the exponents sn in the scaling relations (∂u/∂x)n / √(∂u/∂x)2n/2 ∝ Resn, between the velocity gradients ∂u/∂x and the Reynolds number Re, agrees well with experimental data.

Original languageEnglish (US)
Pages (from-to)147-155
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume343
Issue number1-4
DOIs
StatePublished - Nov 15 2004

Keywords

  • Dynamical systems
  • Turbulence

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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