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This summary is machine-generated.

We experimentally observed weak inertial-wave turbulence in rotating fluids. Increasing forcing transitions wave interactions to a continuous spectrum, matching weak turbulence theory predictions at high Reynolds and low Rossby numbers.

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Area of Science:

  • Fluid Dynamics
  • Geophysics
  • Wave Turbulence

Background:

  • Rotating turbulence is crucial in geophysical and astrophysical systems.
  • Understanding the transition from discrete wave interactions to continuous wave turbulence is key.
  • Weak turbulence theory (WTT) describes systems with many weakly interacting nonlinear waves.

Purpose of the Study:

  • To experimentally observe and characterize the weak inertial-wave turbulence regime.
  • To investigate the transition from discrete wave interactions to continuous spectra.
  • To validate weak turbulence theory predictions in a rotating fluid system.

Main Methods:

  • Generation of statistically steady homogeneous turbulent flow using rough boundaries.
  • Analysis of temporal and spatial spectra of the velocity field.
  • Bicoherence analysis to identify wave interactions and spectral characteristics.

Main Results:

  • Observed a transition from discrete spectral peaks to a continuous spectrum with increased forcing.
  • Bicoherence maps confirmed the shift from discrete resonances to WTT-like behavior.
  • Spatial spectra exhibited power-law behavior, accurately predicted by WTT under specific conditions.

Conclusions:

  • The study provides quantitative experimental evidence for the weak inertial-wave turbulence regime.
  • Experimental results align with the assumptions and predictions of weak turbulence theory.
  • The findings offer insights into energy transfer and spectral properties in rotating turbulent flows.