Logarithmic scaling in the near-dissipation range of turbulence

K. R. Sreenivasan, A. Bershadskii

Research output: Contribution to journalArticlepeer-review


A logarithmic scaling for structure functions, in the form Sp ∼ [In(r/η)]ζp, where η is the Kolmogorov dissipation scale and ζp are the scaling exponents, is suggested for the statistical description of the near-dissipation range for which classical power-law scaling does not apply. From experimental data at moderate Reynolds numbers, it is shown that the logarithmic scaling, deduced from general considerations for the near-dissipation range, covers almost the entire range of scales (about two decades) of structure functions, for both velocity and passive scalar fields. This new scaling requires two empirical constants, just as the classical scaling does, and can be considered the basis for extended self-similarity.

Original languageEnglish (US)
Pages (from-to)315-321
Number of pages7
JournalPramana - Journal of Physics
Issue number3 SPEC. ISS.
StatePublished - Mar 2005


  • Extended self-similarity
  • Logarithmic scaling
  • Near-dissipation range
  • Turbulence

ASJC Scopus subject areas

  • General Physics and Astronomy


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