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Velocity circulation intermittency in finite-temperature turbulent superfluid helium

Nicolás P. Müller1, Yuan Tang2,3, Wei Guo2,3, and Giorgio Krstulovic1

  • 1Université Côte d'Azur, Observatoire de la Côte d'Azur, CNRS, Laboratoire Lagrange, Boulevard de l'Observatoire CS 34229 - F 06304 NICE Cedex 4, France
  • 2National High Magnetic Field Laboratory, 1800 East Paul Dirac Drive, Tallahassee, Florida 32310, USA
  • 3Mechanical Engineering Department, FAMU-FSU College of Engineering, Florida State University, Tallahassee, Florida 32310, USA

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Phys. Rev. Fluids 7, 104604 – Published 11 October, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.104604

Abstract

We study intermittency of circulation moments in turbulent superfluid helium by using experimental grid turbulence and numerical simulations of the Hall-Vinen-Bekarevich-Khalatnikov model. More precisely, we compute the velocity circulation Γr in loops of size r laying in the inertial range. For both experimental and numerical data, the circulation variance shows a clear Kolmogorov scaling 〈Γr2〉∼r8/3 in the inertial range, independently of the temperature. Scaling exponents of high-order moments are comparable, within error bars, to previously reported anomalous circulation exponents in classical turbulence and low-temperature quantum turbulence numerical simulations.

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Phys. Rev. Fluids 7, 104604– Published 11 October, 2022
  • Received 27 April 2022
  • Accepted 22 September 2022
Article part of CHORUS
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