Quantum turbulence at finite temperature: the two-fluids cascade

Abstract : To model isotropic homogeneous quantum turbulence in superfluid helium, we have performed Direct Numerical Simulations (DNS) of two fluids (the normal fluid and the superfluid) coupled by mutual friction. We have found evidence of strong locking of superfluid and normal fluid along the turbulent cascade, from the large scale structures where only one fluid is forced down to the vorticity structures at small scales. We have determined the residual slip velocity between the two fluids, and, for each fluid, the relative balance of inertial, viscous and friction forces along the scales. Our calculations show that the classical relation between energy injection and dissipation scale is not valid in quantum turbulence, but we have been able to derive a temperature-dependent superfluid analogous relation. Finally, we discuss our DNS results in terms of the current understanding of quantum turbulence, including the value of the effective kinematic viscosity.
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https://hal.archives-ouvertes.fr/hal-00384944
Contributor : Philippe-Emmanuel Roche <>
Submitted on : Sunday, May 17, 2009 - 6:18:38 PM
Last modification on : Wednesday, November 20, 2019 - 2:34:41 AM
Long-term archiving on: Thursday, June 10, 2010 - 11:18:58 PM

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Philippe-Emmanuel Roche, Carlo Barenghi, Emmanuel Lévêque. Quantum turbulence at finite temperature: the two-fluids cascade. EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2009, 87, pp.54006. ⟨10.1209/0295-5075/87/54006⟩. ⟨hal-00384944⟩

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