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Decay of helicity in homogeneous turbulence

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Abstract

The self-similar relaxation of helicity in homogeneous turbulence has been considered taking into account integral invariants ∫ ∞0 r m 〈u(x)ω(x + r)〉 dr = I h m (where ω = curlu and r = |r|). It has been shown that integral invariants with m = 3 for both helicity and energy are possible in addition to helical analogs of Loitsyanskii (m = 4) and Birkhoff-Saffman (m = 2) invariants associated with the conservation laws of momentum and angular momentum, respectively. Helicity always relaxes more rapidly than the energy. Its decay exponent is in the interval from −3/2 to −5/2 versus the interval from −6/5 to −10/7 for the energy.

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Authors and Affiliations

  1. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russia

    A. O. Levshin & O. G. Chkhetiani

  2. Space Research Institute, Russian Academy of Sciences, ul. Profsoyuznaya 84/32, Moscow, 117810, Russia

    O. G. Chkhetiani

Authors
  1. A. O. Levshin
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  2. O. G. Chkhetiani
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Correspondence to O. G. Chkhetiani.

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Original Russian Text © A.O. Levshin, O.G. Chkhetiani, 2013, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 98, No. 10, pp. 670–675.

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Levshin, A.O., Chkhetiani, O.G. Decay of helicity in homogeneous turbulence. Jetp Lett. 98, 598–602 (2014). https://doi.org/10.1134/S0021364013230070

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  • DOI: https://doi.org/10.1134/S0021364013230070

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