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    • Does the flatness of the velocity derivative blow up at a finite Reynolds number?

      K R Sreenivasan A Bershadskii

      Volume 64 Issue 6 June 2005 pp 939-945

    • Fulltext

       

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      https://www.ias.ac.in/article/fulltext/pram/064/06/0939-0945

    • Keywords

       

      High-Reynolds-number turbulence; derivative flatness; Navier-Stokes singu-larities

    • Abstract

       

      A tentative suggestion is made that the flatness of the velocity derivative could reach an infinite value at finite (though very large) Reynolds number, with possible implications for the singularities of the Navier—Stokes equations. A direct test of this suggestion requires measurements at Reynolds numbers presently outside the experimental capacity, so an alternative suggestion that can be tested at accessible Reynolds numbers is also made.

    • Author Affiliations

       

      K R Sreenivasan1 A Bershadskii1 2

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

    • Dates

       
      Published
      June 2005

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