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Emergent Universal Drag Law in a Model of Superflow
M T M Christenhusz1, A Safavi-Naini2, H Rubinsztein-Dunlop1
1University of Queensland, Australian Research Council Centre of Excellence for Engineered Quantum Systems, School of Mathematics and Physics, St. Lucia, Queensland 4072, Australia.
This study confirms a universal drag law in superfluid wakes, similar to classical turbulence. Quantized vortex nucleation enables this phenomenon, offering insights into quantum turbulence dynamics.
Area of Science:
- Fluid Dynamics
- Quantum Mechanics
- Condensed Matter Physics
Background:
- Classical turbulence exhibits universal laws like the Reynolds law of dynamical similarity.
- Quantum turbulence shares many phenomena with classical turbulence despite different dissipation mechanisms.
- Understanding quantum turbulence is crucial for advancing fluid dynamics and condensed matter physics.
Purpose of the Study:
- To confirm the existence of a universal drag law in a superfluid wake.
- To investigate the role of quantized vortex nucleation in superfluid hydrodynamics.
- To provide a feasible experimental method for measuring superfluid drag forces.
Main Methods:
- Numerical simulation of superfluid flow across a range of Reynolds numbers.
- Modeling classical hard wall and Gaussian obstacles for comparison.
- Developing a control volume method for experimental drag force measurement.
Main Results:
- Confirmation of a universal drag law in superfluid wakes.
- Demonstration that quantized vortex nucleation facilitates this universal law.
- Validation of numerical models against established fluid dynamics principles.
Conclusions:
- Superfluid turbulence exhibits universal drag characteristics analogous to classical turbulence.
- Quantized vortices play a key role in establishing universal laws in superfluids.
- The proposed measurement method offers a practical approach for experimental verification.
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