Emergent Universal Drag Law in a Model of Superflow.

Despite the fundamentally different dissipation mechanisms, many laws and phenomena of classical turbulence equivalently manifest in quantum turbulence. The Reynolds law of dynamical similarity states that two objects of the same geometry across different length scales are hydrodynamically equivalent under the same Reynolds number, leading to a universal drag coefficient law. In this Letter we confirm the existence of a universal drag law in a superfluid wake, facilitated by the nucleation of quantized vortices. We numerically study superfluid flow across a range of Reynolds numbers for the paradigmatic classical hard wall and the Gaussian obstacle, popular in experimental quantum hydrodynamics. In addition, we provide a feasible method for measuring superfluid drag forces in an experimental environment using control volumes.

• Publication year

  2024

• Venue

  Physical Review Letters

• Publication date

  2024-06-20

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/s31t-tjl9arXiv 2406.14049PMID 40864950
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Superflow passing over a rough surface: Vortex nucleation

  2024cited by this paper
• Quantum viscosity and the Reynolds similitude of a pure superfluid

  2024cited by this paper
• Drag force on an accelerating flat plate at low Reynolds numbers

  2024cited by this paper
• Drag force on a circular cylinder in stratified flow: a two-dimensional numerical study

  2022cited by this paper
• Rotating quantum wave turbulence

  2022cited by this paper
• Dissipation anomaly in a turbulent quantum fluid

  2022cited by this paper
• Josephson-Anderson Relation and the Classical D’Alembert Paradox

  2021cited by this paper
• Starting Flow Past an Airfoil and its Acquired Lift in a Superfluid.

  2019cited by this paper
• Onsager's Conjecture and Anomalous Dissipation on Domains with Boundary

  2018cited by this paper
• Direct simulation of sound generation by a two-dimensional flow past a wedge

  2018cited by this paper
• A moving control volume approach to computing hydrodynamic forces and torques on immersed bodies

  2017cited by this paper
• Fluid Mechanics Fundamentals And Applications

  2016cited by this paper
• Observation of von Kármán Vortex Street in an Atomic Superfluid Gas.

  2016cited by this paper
• Emergence of a turbulent cascade in a quantum gas

  2016cited by this paper
• Observation of vortex-antivortex pairing in decaying 2D turbulence of a superfluid gas

  2016cited by this paper
• Superfluid Reynolds number and the transition from potential flow to turbulence in superfluid 4He at millikelvin temperatures

  2015cited by this paper
• Critical velocity for vortex shedding in a Bose-Einstein condensate

  2015cited by this paper
• Quantum, or classical turbulence?

  2014cited by this paper
• Identifying a Superfluid Reynolds Number via Dynamical Similarity.

  2014influential reference
• Effective viscosity in quantum turbulence: A steady-state approach

  2014cited by this paper
• Onsager-Kraichnan condensation in decaying two-dimensional quantum turbulence.

  2013cited by this paper
• Thermally and mechanically driven quantum turbulence in helium II

  2012cited by this paper
• Separation

  2012cited by this paper
• Bose-Einstein Condensation

  2011cited by this paper
• On the sub-mechanics of the Universe

  2010cited by this paper
• Bénard-von Kármán vortex street in a Bose-Einstein condensate.

  2010cited by this paper
• Turbulent velocity spectra in superfluid flows

  2010cited by this paper
• On the Effect of the Internal Friction of Fluids on the Motion of Pendulums

  2009cited by this paper
• Symmetries and conservation laws

  2009cited by this paper
• Observation of vortex dipoles in an oblate Bose-Einstein condensate.

  2009cited by this paper
• On the drag of two-dimensional flow about a circular cylinder

  2004cited by this paper
• Kolmogorov spectrum of superfluid turbulence: numerical analysis of the Gross-Pitaevskii equation with a small-scale dissipation.

  2004cited by this paper
• An intrinsic velocity-independent criterion for superfluid turbulence

  2003cited by this paper
• Energy spectrum of superfluid turbulence with no normal-fluid component.

  2002cited by this paper
• Two-dimensional turbulence in square and circular domains with no-slip walls

  2001cited by this paper
• Observation of Vortex Lattices in Bose-Einstein Condensates

  2001cited by this paper
• Vortex shedding and drag in dilute Bose-Einstein condensates

  2000influential reference
• DECAY OF GRID TURBULENCE IN A FINITE CHANNEL

  1999cited by this paper
• LOCAL INVESTIGATION OF SUPERFLUID TURBULENCE

  1998cited by this paper
• KOLMOGOROV TURBULENCE IN LOW-TEMPERATURE SUPERFLOWS

  1997cited by this paper
• Vortex Dynamics in the Cylinder Wake

  1996cited by this paper
• Fluid mechanics

  1994cited by this paper
• Transition to dissipation in a model of superflow.

  1992cited by this paper
• Three-dimensional vortex dynamics in superfluid 4He: Line-line and line-boundary interactions.

  1985cited by this paper
• Introductory talk

  1977cited by this paper
• VORTICES IN AN IMPERFECT BOSE GAS. IV. TRANSLATIONAL VELOCITY.

  1966cited by this paper
• Fluid Dynamic Drag: Practical Information on Aerodynamic Drag and Hydrodynamic Resistance

  1965cited by this paper
• On the drag and shedding frequency of two-dimensional bluff bodies

  1954cited by this paper
• On the development of turbulent wakes from vortex streets

  1953cited by this paper
• Dissipation of energy in the locally isotropic turbulence

  1941cited by this paper
• Modern developments in fluid dynamics : an account of theory and experiment relating to boundary layers, turbulent motion and wakes

  1939cited by this paper
• Grenzschichten in Flüssigkeiten mit kleiner Reibung

  year unknowncited by this paper
• XV. On the uniform motion of a sphere through a viscous fluid

  year unknowncited by this paper

• Mechanism for the anomalous minimization of superfluid critical velocity: Superfluid stability along a step potential

  2026cites this paper
• Dynamic similarity of vortex shedding in a superfluid flowing past a penetrable obstacle

  2026influential citation
• Impurity-controlled vortex mobility and pair-breaking in fermionic superfluid rings

  2025cites this paper
• Vortex Line Density in a Superfluid Turbulent Wake in the Zero Temperature Limit

  2025cites this paper