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Identifying a Superfluid Reynolds Number via Dynamical Similarity
M T Reeves1, T P Billam1,2, B P Anderson3
1Jack Dodd Centre for Quantum Technology, Department of Physics, University of Otago, Dunedin 9016, New Zealand.
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.
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.
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