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Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

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Published on: March 3, 2017

Large-scale intermittency in two-dimensional driven turbulence.

Yonggun Jun1, X L Wu

  • 1Department of Physics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 26, 2005
PubMed
Summary
This summary is machine-generated.

Two-dimensional turbulence, previously thought to be non-intermittent, exhibits significant intermittency. This study found intermittent behavior in soap film turbulence, comparable to 3D turbulence, linked to saddle point distributions.

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Area of Science:

  • Fluid Dynamics
  • Nonlinear Dynamics
  • Statistical Physics

Background:

  • Two-dimensional turbulence is often considered immune to intermittency due to the lack of vortex stretching.
  • Previous theoretical models suggested a lack of intermittency in 2D turbulent flows.

Purpose of the Study:

  • To investigate the presence and characteristics of intermittency in two-dimensional turbulence.
  • To compare intermittency in 2D turbulence with that observed in three-dimensional turbulence.
  • To identify the underlying mechanisms responsible for intermittency in 2D flows.

Main Methods:

  • Experimental generation of two-dimensional turbulence in a freely suspended soap film using electromagnetic forcing.
  • Measurement of velocity structure functions, Sp(l), on scales larger than the energy injection scale.
  • Analysis of the scaling exponent, zeta(p), of the structure functions to quantify intermittency.

Main Results:

  • The measured velocity structure function scaling exponent, zeta(p), deviates from the expected linear relationship with p.
  • Intermittent behavior was observed, comparable in magnitude to that found in fully developed three-dimensional turbulence.
  • The intermittency was found to correlate with the nonuniform distribution of saddle points within the flow.

Conclusions:

  • Two-dimensional turbulence is not immune to intermittency, contrary to prior beliefs.
  • Electromagnetic forcing in soap films generates intermittent 2D turbulence.
  • The distribution of saddle points is a key factor contributing to intermittency in these flows.