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Multiscaling in superfluid turbulence: A shell-model study.

Vishwanath Shukla1, Rahul Pandit2

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Physical Review. E
|November 15, 2016
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Summary
This summary is machine-generated.

This study reveals that multiscaling behavior in three-dimensional superfluid turbulence is more complex than in fluid turbulence. The findings explore velocity structure functions and their dependence on fluid properties.

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Area of Science:

  • Physics
  • Fluid Dynamics
  • Quantum Turbulence

Background:

  • Superfluid turbulence exhibits complex dynamics governed by the Hall-Vinen-Bekharevich-Khalatnikov (HVBK) equations.
  • Understanding multiscaling behavior is crucial for characterizing energy dissipation and cascade processes.

Purpose of the Study:

  • To investigate the multiscaling behavior of velocity structure functions in three-dimensional superfluid turbulence.
  • To analyze the influence of normal-fluid fraction and mutual-friction coefficients on these scaling properties.

Main Methods:

  • Utilized a shell model based on the Gledzer-Okhitani-Yamada model for the 3D HVBK equations.
  • Examined the dependence of multiscaling exponents on key physical parameters.

Main Results:

  • The multiscaling exponents were found to depend on the normal-fluid fraction and mutual-friction coefficients.
  • The complexity of multiscaling behavior in superfluid turbulence was quantitatively demonstrated.

Conclusions:

  • Superfluid turbulence displays more intricate multiscaling properties compared to classical fluid turbulence.
  • The developed 3D-HVBK shell model provides a valuable tool for studying quantum turbulence.