Shell model of superfluid turbulence

Superfluid helium consists of two inter-penetrating fluids, a viscous normal fluid and an inviscid superfluid, coupled by a mutual friction. We develop a two-fluid shell model to study superfluid turbulence. We investigate the energy spectra and the balance of fluxes between the two fluids as a func...

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Bibliographic Details
Published in:arXiv.org 2011-10
Main Authors: Wacks, D H, Barenghi, C F
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Energy dissipation
Energy spectra
Fluid flow
Fluids
Fluxes
Helium
Kelvin waves
Superfluidity
Turbulence
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Summary:Superfluid helium consists of two inter-penetrating fluids, a viscous normal fluid and an inviscid superfluid, coupled by a mutual friction. We develop a two-fluid shell model to study superfluid turbulence. We investigate the energy spectra and the balance of fluxes between the two fluids as a function of temperature in continuously forced turbulence, and, in the absence of forcing, the decay of turbulence. We furthermore investigate deviations from the \(k^{-5/3}\) spectrum caused by the mutual friction force. We compare our results with experiments and existing calculations. We find that, at sufficiently low temperatures a build-up of energy develops at high wavenumbers suggesting the need for a further dissipative effect, such as the Kelvin wave cascade and phonon emission.
ISSN:2331-8422
DOI:10.48550/arxiv.1107.5983