Non-Kolmogorov scaling exponents and the geometry of high Reynolds number turbulence

Itamar Procaccia, Peter Constantin

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


Scaling behavior in turbulence is studied on the basis of its relation to the wrinkling, or fractalization, of the graph of the velocity field in 3+3 dimensions. We propose a novel mechanism for deviations from the Kolmogorov exponents, which is realized if the fine structure of turbulence tends locally towards two dimensionality. It is argued that some of the popular fractal and multifractal models of intermittency in turbulence are not consistent with fluid mechanics, and miss some essential physics.

Original languageEnglish (US)
Pages (from-to)3416-3419
Number of pages4
JournalPhysical review letters
Issue number22
StatePublished - 1993
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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