Helical turbulence: Turbulent viscosity and instability of the second moments

A. Belian, O. Chkhetiani, E. Golbraikh, S. Moiseev

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


The evolution of weak large-scale disturbances in the helical turbulence is considered. High-order statistical moments are taken into account in the frames of two-scale analog of Orszag diffusion approximation. The appearance of the instability of second moments is demonstrated for k < α/ν (k is wave vector, α and ν are proportional to the mean helicity and mean energy viscosity, respectively). Turbulent viscosity diminishing in comparison with the non-helical case is also demonstrated. These phenomenona qualitatively agree with previous results of other authors on the slow-down of energy transfer along the spectrum, from large to small scales at non-zero helicity.

Original languageEnglish
Pages (from-to)55-68
Number of pages14
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-2
StatePublished - 1 Sep 1998


  • Helical turbulence
  • Instability
  • Viscosity

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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