Scaling laws of wave-cascading superfluid turbulence

Phenomenological model is constructed for superfluid turbulence for two distinct energy cascade scenarios, sound wave cascade and critically-balanced Kelvin wave cascade, using the method for magneto-fluid turbulence theory. Excitations along dispersion relations are used as the primary energy reser...

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Bibliographic Details
Published inAIP advances Vol. 7; no. 6; pp. 065009 - 065009-9
Main Author Narita, Y.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.06.2017
AIP Publishing LLC
Subjects
Computational fluid dynamics
Filaments
Fluid flow
Fluids
Kelvin waves
Scaling laws
Sound waves
Superfluidity
Turbulence
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Summary:Phenomenological model is constructed for superfluid turbulence for two distinct energy cascade scenarios, sound wave cascade and critically-balanced Kelvin wave cascade, using the method for magneto-fluid turbulence theory. Excitations along dispersion relations are used as the primary energy reservoir. The spectral indices in the inertial range are estimated as −3/2 for the long-wavelength sound wave cascade, −3 in the direction to the mean filaments for the Kelvin wave cascade, and −5/3 perpendicular to the filament direction.
ISSN:2158-3226
2158-3226
DOI:10.1063/1.4985725