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Helical turbulence: Turbulent viscosity and instability of the second moments

Author

Listed:
  • Belian, A.
  • Chkhetiani, O.
  • Golbraikh, E.
  • Moiseev, S.

Abstract

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.

Suggested Citation

  • Belian, A. & Chkhetiani, O. & Golbraikh, E. & Moiseev, S., 1998. "Helical turbulence: Turbulent viscosity and instability of the second moments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 258(1), pages 55-68.
    • Handle: RePEc:eee:phsmap:v:258:y:1998:i:1:p:55-68
    DOI: 10.1016/S0378-4371(98)00212-X
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    Cited by:

    1. Chkhetiani, Otto G. & Gledzer, Evgeny B., 2017. "Helical turbulence with small-scale energy and helicity sources and external intermediate scale noises as the origin of large scale generation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 416-433.
    2. Yue Qiu & Ding Yuan & Jun Wen & Yubo Fan & Tinghui Zheng, 2018. "Numerical identification of the rupture locations in patient-specific abdominal aortic aneurysmsusing hemodynamic parameters," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 21(1), pages 1-12, January.

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