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Oscillating-grid experiments in water and superfluid helium.

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Turbulent fronts generated by oscillating grids advance diffusively. Their speed slightly decreases with increasing Reynolds numbers and is influenced by confinement, with a boundary layer related to the energy-containing length scale.

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Area of Science:

  • Fluid dynamics
  • Turbulence research
  • Experimental physics

Background:

  • Oscillating grids generate nearly homogeneous isotropic turbulence.
  • Previous studies suggested diffusive growth of turbulent fronts (d ~ sqrt[t]).

Purpose of the Study:

  • Revisit oscillating grid experiments to model turbulent front propagation.
  • Investigate the influence of tank geometry and Reynolds number on front dynamics.

Main Methods:

  • Experiments conducted in square and round tanks with water and superfluid helium.
  • Varying mesh Reynolds numbers up to 43000.
  • Studying turbulent front propagation in tubes of varying diameters.

Main Results:

  • No significant difference in front behavior between square and round tanks.
  • Weak decrease in power-law exponent for front advancement with increasing Reynolds number.
  • Turbulent front propagation halted in a very long tank.
  • Confinement in tubes (diameter D) resulted in a steady-state boundary H ~ 2D.

Conclusions:

  • Turbulent front dynamics are robust across different geometries.
  • Reynolds number has a subtle effect on front propagation.
  • Confinement effects are linked to the energy-containing length scale, influencing front stopping behavior.