Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Friction-enhanced lifetime of bundled quantum vortices

Luca Galantucci

Giorgio Krstulovic

Carlo F. Barenghi

  • Istituto per le Applicazioni del Calcolo “M. Picone,” IAC CNR, Via dei Taurini 19, 00185 Roma, Italy and Joint Quantum Centre Durham–Newcastle and School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom

  • Laboratoire Lagrange, CNRS, Observatoire de la Côte d'Azur, Université Côte d'Azur, Boulevard de l'Observatoire CS 34229, 06304 Nice, Cedex 4, France

  • Joint Quantum Centre Durham–Newcastle and School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom

Phys. Rev. Fluids 8, 014702 – Published 19 January, 2023

DOI: https://doi.org/10.1103/PhysRevFluids.8.014702

Abstract

We show that a toroidal bundle of quantized vortex rings in superfluid helium generates a large-scale wake in the normal fluid which reduces the overall friction experienced by the bundle, thus greatly enhancing its lifetime, as observed in experiments. This collective effect is similar to the drag reduction observed in systems of active, hydrodynamically cooperative agents such as bacteria in aqueous suspensions, fungal spores in the atmosphere, and cyclists in pelotons.

Physics Subject Headings (PhySH)

Article Text

References (37)

  1. H. López, J. Gachelin, C. Douarche, H. Auradou, and E. Clément, Turning Bacteria Suspensions into Superfluids, Phys. Rev. Lett. 115, 028301 (2015).
  2. V. A. Martinez, E. Clément, J. Arlt, C. Douarche, A. Dawson, J. Schwarz-Linek, A. K. Creppy, V. Škultéty, A. N. Morozov, H. Auradou, and W. C. K. Poon, A combined rheometry and imaging study of viscosity reduction in bacterial suspensions, Proc. Natl. Acad. Sci. USA 117, 2326 (2020).
  3. S. Guo, D. Samanta, Y. Peng, X. Xu, and X. Cheng, Symmetric shear banding and swarming vortices in bacterial superfluids, Proc. Natl. Acad. Sci. USA 115, 7212 (2018).
  4. M. Roper, A. Seminara, M. M. Bandi, A. Cobb, H. R. Dillard, and A. Pringle, Dispersal of fungal spores on a cooperatively generated wind, Proc. Natl. Acad. Sci. USA 107, 17474 (2010).
  5. B. Blocken, T. van Druenen, Y. Toparlar, F. Malizia, P. Mannion, T. Andrianne, T. Marchal, G.-J. Maas, and J. Diepens, Aerodynamic drag in cycling pelotons: New insights by CFD simulation and wind tunnel testing, J. Wind Eng. Ind. Aeronaut. 179, 319 (2018).
  6. J. Belden, M. M. Mansoor, A. Hellum, S. R. Rahman, A. Meyer, C. Pease, J. Pacheco, S. Koziol, and T. T. Truscott, How vision governs the collective behaviour of dense cycling pelotons, J. R. Soc. Interface 16, 20190197 (2019).
  7. M. Reichert and H. Stark, Circling particles and drafting in optical vortices, J. Phys.: Condens. Matter 16, S4085 (2004).
  8. K. Grujic and O. Helleso, Dielectric microsphere manipulation and chain assembly by counter-propagating waves in a channel waveguide, Opt. Express 15, 6470 (2007).
  9. G. Gamota, Creation of Quantized Vortex Rings in Superfluid Helium, Phys. Rev. Lett. 31, 517 (1973).
  10. P. Walmsley and A. Golov, Quantum and Quasiclassical Types of Superfluid Turbulence, Phys. Rev. Lett. 100, 245301 (2008).
  11. P. Walmsley and A. Golov, Reconnections of Quantized Vortex Rings in Superfluid He4 at Very Low Temperatures, Phys. Rev. Lett. 113, 125302 (2014).
  12. B. Guenin and G. Hess, Observations of quantized vorticity generated in superfluid He4 flow through 2μm-diameter orifices, J. Low Temp. Phys. 33, 243 (1978).
  13. D. I. Bradley, D. O. Clubb, S. N. Fisher, A. M. Guénault, R. P. Haley, C. J. Matthews, G. R. Pickett, V. Tsepelin, and K. Zaki, Emission of Discrete Vortex Rings by a Vibrating Grid in Superfluid He3B: A Precursor to Quantum Turbulence, Phys. Rev. Lett. 95, 035302 (2005).
  14. C. F. Barenghi and R. J. Donnelly, Vortex rings in classical and quantum systems, Fluid Dyn. Res. 41, 051401 (2009).
  15. H. Borner, T. Schmeling, and D. Schmidt, Experimental investigation of the circulation of large scale vortex rings in He II, Physica B+C 108, 1123 (1981).
  16. H. Borner, T. Schmeling, and D. Schmidt, Experiments on the circulation and propagation of large scale vortex rings in He II, Phys. Fluids 26, 1410 (1983).
  17. H. Borner and D. Schmidt, Investigation of large-scale vortex rings in He II by acoustic measurements of circulation, Lect. Notes Phys. 235, 135 (1985).
  18. K. Schwarz, Three-dimensional vortex dynamics in superfluid He4: Homogeneous superfluid turbulence, Phys. Rev. B 38, 2398 (1988).
  19. T. Araki, M. Tsubota, and S. Nemirovskii, Energy Spectrum of Superfluid Turbulence with No Normal-Fluid Component, Phys. Rev. Lett. 89, 145301 (2002).
  20. A. W. Baggaley, J. Laurie, and C. F. Barenghi, Vortex-Density Fluctuations, Energy Spectra, and Vortical Regions in Superfluid Turbulence, Phys. Rev. Lett. 109, 205304 (2012).
  21. R. J. Donnelly and C. F. Barenghi, The observed properties of liquid helium at the saturated vapor pressure, J. Phys. Chem. Ref. Data 27, 1217 (1998).
  22. W. Guo, S. B. Cahn, J. A. Nikkel, W. F. Vinen, and D. N. McKinsey, Visualization Study of Counterflow in Superfluid He4 using Metastable Helium Molecules, Phys. Rev. Lett. 105, 045301 (2010).
  23. B. Mastracci, S. Bao, W. Guo, and W. F. Vinen, Particle tracking velocimetry applied to thermal counterflow in superfluid He4: Motion of the normal fluid at small heat fluxes, Phys. Rev. Fluids 4, 083305 (2019).
  24. L. Galantucci, A. W. Baggaley, C. F. Barenghi, and G. Krstulovic, A new self-consistent approach of quantum turbulence in superfluid helium, Eur. Phys. J. Plus 135, 547 (2020).
  25. D. Kivotides, C. F. Barenghi, and D. C. Samuels, Triple vortex ring structure in superfluid helium II, Science 290, 777 (2000).
  26. L. Galantucci, M. Sciacca, and C. F. Barenghi, Coupled normal fluid and superfluid profiles of turbulent helium II in channels, Phys. Rev. B 92, 174530 (2015).
  27. D. Kivotides, Superfluid helium-4 hydrodynamics with discrete topological defects, Phys. Rev. Fluids 3, 104701 (2018).
  28. S. Yui, H. Kobayashi, M. Tsubota, and W. Guo, Fully Coupled Dynamics of the Two Fluids in Superfluid He4: Anomalous Anisotropic Velocity Fluctuations in Counterflow, Phys. Rev. Lett. 124, 155301 (2020).
  29. D. H. Wacks, A. W. Baggaley, and C. F. Barenghi, Coherent laminar and turbulent motion of toroidal vortex bundles, Phys. Fluids 26, 027102 (2014).
  30. H. Trenchard and M. Perc, Energy saving mechanisms, collective behavior and the variation range hypothesis in biological systems: A review, Biosystems 147, 40 (2016).
  31. P. Gualtieri, F. Picano, G. Sardina, and C. Casciola, Exact regularized point particle method for multiphase flows in the two-way coupling regime, J. Fluid Mech. 773, 520 (2015).
  32. C. F. Barenghi, R. J. Donnelly, and W. F. Vinen, Friction on quantized vortices in helium II. A review, J. Low Temp. Phys. 52, 189 (1983).
  33. P. Švančara, D. Duda, P. Hrubcová, M. Rotter, L. Skrbek, M. La Mantia, E. Durozoy, P. Diribarne, B. Rousset, M. Bourgoin, and M. Gibert, Ubiquity of particle-vortex interactions in turbulent counterflow of superfluid helium, J. Fluid Mech. 911, A8 (2021).
  34. L. Galantucci, C. F. Barenghi, N. G. Parker, and A. W. Baggaley, Mesoscale helicity distinguishes Vinen from Kolmogorov turbulence in helium-II, Phys. Rev. B 103, 144503 (2021).
  35. R. Hänninen and A. W. Baggaley, Vortex filament method as a tool for computational visualization of quantum turbulence, Proc. Natl. Acad. Sci. USA 111, 4667 (2014).
  36. D. Gottlieb, and S. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications (SIAM, Philadelphia, 1977).
  37. I. Proudman and J. Pearson, Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder, J. Fluid Mech. 2, 237 (1957).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation