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Related Experiment Videos

Rayleigh-Taylor turbulence in two dimensions.

Antonio Celani1, Andrea Mazzino, Lara Vozella

  • 1CNRS, INLN, 1361 Route des Lucioles, 06560 Valbonne, France.

Physical Review Letters
|May 23, 2006
PubMed
Summary

This study validates a theory for Rayleigh-Taylor (RT) turbulence using simulations, revealing Bolgiano-Obukhov scaling and Kraichnan scaling in thermal convection. The findings confirm predictions and explore intermittency effects in RT turbulence.

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Area of Science:

  • Fluid dynamics
  • Turbulence theory
  • Plasma physics

Background:

  • A recent phenomenological theory by Chertkov describes two- and three-dimensional Rayleigh-Taylor (RT) turbulence.
  • Understanding RT turbulence is crucial for various physical phenomena.

Purpose of the Study:

  • To confirm the spatiotemporal predictions of Chertkov's theory in two dimensions.
  • To investigate the breakdown of the phenomenological description due to intermittency.
  • To explore scaling laws in RT turbulence.

Main Methods:

  • Direct numerical simulations in two dimensions.
  • Analysis of small-scale statistics of velocity and temperature.
  • Examination of global observables like Nusselt and Reynolds numbers.

Main Results:

  • Confirmation of the theory's spatiotemporal predictions in 2D.
  • Observed Bolgiano-Obukhov scaling for small-scale velocity and temperature statistics.
  • Demonstrated that Nusselt and Reynolds numbers scale with the square root of the Rayleigh number.

Conclusions:

  • RT turbulence in 2D and 3D, without boundaries, realizes the Kraichnan scaling regime.
  • The findings suggest RT turbulence is a physical model for the 'ultimate state of thermal convection'.

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