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

K. R. Sreenivasan, A. Bershadskii

Research output: Contribution to journalArticle

Abstract

A tentative suggestion is made that the flatness of the velocity derivative could reach an infinite value at finite (though very largo) 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.

Original languageEnglish (US)
Pages (from-to)939-945
Number of pages7
JournalPramana - Journal of Physics
Volume64
Issue number6 SPEC. ISS.
StatePublished - Jun 2005

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flatness
suggestion
Reynolds number
Navier-Stokes equation

Keywords

  • Derivative flatness
  • High-Reynolds-number turbulence
  • Navler-Stokes singularities

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Does the flatness of the velocity derivative blow up at a finite Reynolds number? / Sreenivasan, K. R.; Bershadskii, A.

In: Pramana - Journal of Physics, Vol. 64, No. 6 SPEC. ISS., 06.2005, p. 939-945.

Research output: Contribution to journalArticle

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