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Energy spectra of developed turbulence in helium superfluids
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L'vov, V. S., Nazarenko, Sergey and Skrbek, L. (2006) Energy spectra of developed turbulence in helium superfluids. In: Workshop on Universal Features in Turbulence - From Quantum to Cosmological Scales, Univ Warwick, Coventry, ENGLAND, DEC 05-10, 2005. Published in: JOURNAL OF LOW TEMPERATURE PHYSICS, 145 (1-4). pp. 125-142. doi:10.1007/s10909-006-9230-8 ISSN 0022-2291.
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Official URL: http://dx.doi.org/10.1007/s10909-006-9230-8
Abstract
We suggest a "minimal model" for the 3D turbulent energy spectra in superfluids, based on their two-fluid description. We start from the Navier-Stokes equation for the normal fluid and from the coarse-grained hydrodynamic equation for the superfluid component (obtained from the Euler equation for the superfluid velocity after averaging over the vortex lines) and introduce a mutual friction coupling term, proportional to the counterflow velocity, the average superfluid vorticity and to the temperature dependent parameter q = alpha/(1+alpha'), where alpha and alpha' denote the dimensionless parameters characterizing the mutual friction between quantized vortices and the normal component of the liquid. We then derive the energy balance equations, taking into account the cross-velocity correlations. We obtain all asymptotical solutions for normal and superfluid energy spectra for limiting cases of small/big normal to superfluid density ratio and coupling. We discuss the applicability of our model to superfluid He II and to He-3-B.
| Item Type: | Conference Item (UNSPECIFIED) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Journal or Publication Title: | JOURNAL OF LOW TEMPERATURE PHYSICS | ||||
| Publisher: | SPRINGER/PLENUM PUBLISHERS | ||||
| ISSN: | 0022-2291 | ||||
| Official Date: | November 2006 | ||||
| Dates: |
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| Volume: | 145 | ||||
| Number: | 1-4 | ||||
| Number of Pages: | 18 | ||||
| Page Range: | pp. 125-142 | ||||
| DOI: | 10.1007/s10909-006-9230-8 | ||||
| Publication Status: | Published | ||||
| Title of Event: | Workshop on Universal Features in Turbulence - From Quantum to Cosmological Scales | ||||
| Location of Event: | Univ Warwick, Coventry, ENGLAND | ||||
| Date(s) of Event: | DEC 05-10, 2005 |
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