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External dissipation in driven two-dimensional turbulence

Rivera1, Wu

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

Physical Review Letters
|September 16, 2000
PubMed
Summary

Electromagnetic forcing creates turbulence in soap films. Air friction significantly dissipates energy, a key finding supported by the forced Navier-Stokes equation.

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Area of Science:

  • Fluid dynamics
  • Soft matter physics
  • Turbulence research

Background:

  • Investigating turbulence in free-standing soap films presents unique challenges.
  • Understanding energy dissipation mechanisms is crucial for fluid dynamics.
  • Electromagnetic forcing offers a controlled method to induce and study fluid motion.

Purpose of the Study:

  • To investigate turbulence in a freely suspended soap film.
  • To model fluid velocity fluctuations using the forced Navier-Stokes equation.
  • To quantify energy injection and dissipation rates within the soap film system.

Main Methods:

  • Inducing turbulence via electromagnetic forcing.
  • Measuring fluid velocity using particle tracking techniques.
  • Applying the forced Navier-Stokes equation with a linear drag term for analysis.

Main Results:

  • Velocity fluctuations are accurately described by the forced Navier-Stokes equation.
  • Quantified energy dissipation rates from internal viscosity and air friction.
  • Measured the rate of energy injection from electromagnetic forcing.
  • Air friction identified as a significant energy dissipation pathway.

Conclusions:

  • The forced Navier-Stokes equation with linear drag effectively models soap film turbulence.
  • Air friction plays a substantial role in energy dissipation in this system.
  • This study provides insights into turbulence and energy transfer in thin fluid films.

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