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Power fluctuations in turbulence.

Wouter J T Bos1, Rémi Zamansky2

  • 1LMFA, CNRS, Ecole Centrale de Lyon, Université de Lyon, Ecully 69134, France.

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PubMed
Summary
This summary is machine-generated.

Introducing kinetic energy generates turbulent flow. Fluctuations in this energy injection create a universal inertial range proportional to the energy spectrum, regardless of injection method.

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Area of Science:

  • Fluid dynamics
  • Turbulence theory
  • Statistical mechanics

Background:

  • Turbulent flow requires continuous kinetic energy input.
  • Energy injection mechanisms often involve fluctuations.
  • Understanding energy dissipation across scales is crucial in turbulence.

Purpose of the Study:

  • To investigate the spectral properties of turbulent fluctuations.
  • To determine if energy injection methods affect the universal inertial range.
  • To analyze the relationship between power fluctuations and the energy spectrum.

Main Methods:

  • Theoretical analysis of turbulent flow dynamics.
  • Examination of energy injection models (velocity-dependent forces, large-scale forcing).
  • Spectral analysis of power fluctuations and energy spectrum.

Main Results:

  • A universal inertial range is demonstrated for turbulent fluctuations.
  • This range is shown to be proportional to the energy spectrum.
  • The universality holds for different energy injection methods, including shear flows and large-scale forcing.

Conclusions:

  • The spectral characteristics of turbulent fluctuations exhibit universality.
  • Energy injection fluctuations play a key role in establishing the inertial range.
  • The findings provide insights into the fundamental nature of turbulence across various scales.