• Logarithmic scaling in the near-dissipation range of turbulence

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      https://www.ias.ac.in/article/fulltext/pram/064/03/0315-0321

    • Keywords

       

      Logarithmic scaling; near-dissipation range; turbulence; extended self-similarity

    • Abstract

       

      A logarithmic scaling for structure functions, in the formSp [ln(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.

    • Author Affiliations

       

      K R Sreenivasan1 A Bershadsk1 2

      1. The Abdus Salam International Center for Theoretical Physics, Strada Costiera, Trieste - 11,34100, Italy
      2. ICAR, P.O. Box 31155, Jerusalem - 91000, Israel
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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