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New Approaches and Concepts in Turbulence pp 131–139Cite as

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Solutions of exact kinetic equations for intermittent turbulence

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Abstract

A new approach to the problem of turbulence is described. This approach is based on conditional averaging of equation for a local characteristic of motion, which has a mechanism of self-amplification. An exact closed equation for conditionally averaged 3-D vorticity field (with fixed vorticity at a certain point) is obtained from the Navier-Stokes equation. Corresponding closed equation is derived for conditionally averaged vorticity gradient (vg) in 2-D turbulence. Solutions of these equations are presented. The conclusion is made that the local structure of turbulent flows is not unique. The nonuniqueness is due to the phenomenon of intermittency, which depends on the large-scale structure of turbulent flows. The high order two-point moments of vorticity and vg are presented. The developed method is quite general and can be applied to a variety of physical systems with strong interaction, including magnetized plasma.

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References

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Author information

Authors and Affiliations

  1. Institute for Nonlinear Science, University of California, San Diego La Jolla, California, 92093-0402, USA

    Dr. E. A. Novikov

Authors
  1. Dr. E. A. Novikov
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Editor information

Editors and Affiliations

  1. Institut für Hydromechanik, ETH Hönggerberg, CH-8093, Zürich, Switzerland

    Themistocles Dracos

  2. Tel Aviv University, Tel Aviv, 69978, Israel

    Arkady Tsinober

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© 1993 Springer Basel AG

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Novikov, E.A. (1993). Solutions of exact kinetic equations for intermittent turbulence. In: Dracos, T., Tsinober, A. (eds) New Approaches and Concepts in Turbulence. Monte Verità. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8585-0_9

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  • DOI: https://doi.org/10.1007/978-3-0348-8585-0_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9691-7

  • Online ISBN: 978-3-0348-8585-0

  • eBook Packages: Springer Book Archive

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