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Identifying a Superfluid Reynolds Number via Dynamical Similarity.

M T Reeves1, T P Billam1,2, B P Anderson3

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Researchers defined a superfluid Reynolds number (Re(s)) to characterize turbulent flow in superfluid systems. This new parameter reveals universal dynamics in vortex shedding, similar to classical fluid dynamics.

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Area of Science:

  • Fluid dynamics
  • Quantum fluid dynamics
  • Superfluidity

Background:

  • The Reynolds number is crucial for understanding turbulent flow in classical fluids.
  • Characterizing turbulence in inviscid superfluid systems presents significant challenges.
  • Quantum vortex shedding is a key phenomenon in superfluid dynamics.

Purpose of the Study:

  • To identify a parameter analogous to the Reynolds number for superfluid systems.
  • To investigate the dynamics of superfluid cylinder wakes.
  • To reveal the universality of turbulent wake dynamics in superfluids.

Main Methods:

  • Systematic study of two-dimensional superfluid cylinder wakes.
  • Observation of vortex shedding frequency.
  • Definition and application of a superfluid Reynolds number (Re(s)).

Main Results:

  • Observed dynamical similarity in vortex shedding frequency.
  • Demonstrated universality of turbulent wake dynamics using Re(s).
  • Identified a universal form for dimensionless shedding frequency for large obstacles.

Conclusions:

  • The superfluid Reynolds number (Re(s)) effectively characterizes the transition to turbulence in superfluid systems.
  • Turbulence transition in superfluids occurs at Re(s)≈0.7, independent of obstacle width for large obstacles.
  • Superfluid wake dynamics exhibit similarities to classical fluid dynamics.