Experimental, numerical, and analytical velocity spectra in turbulent quantum fluid

CF Barenghi; Victor Lvov; PE Roche

doi:10.1073/pnas.1312548111

Experimental, numerical, and analytical velocity spectra in turbulent quantum fluid

CF Barenghi, Victor Lvov, PE Roche

Weizmann Institute of Science

Research output: Contribution to journal › Review article › peer-review

77 Citations (Scopus)

Abstract

Turbulence in superfluid helium is unusual and presents a challenge to fluid dynamicists because it consists of two coupled, interpenetrating turbulent fluids: the first is inviscid with quantized vorticity, and the second is viscous with continuous vorticity. Despite this double nature, the observed spectra of the superfluid turbulent velocity at sufficiently large length scales are similar to those of ordinary turbulence. We present experimental, numerical, and theoretical results that explain these similarities, and illustrate the limits of our present understanding of superfluid turbulence at smaller scales.

Original language	English
Pages (from-to)	4683-4690
Number of pages	8
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	111
Issue number	SUPPL. 1
DOIs	https://doi.org/10.1073/pnas.1312548111
Publication status	Published - 25 Mar 2014

Bibliographical note

Engineering and Physical Sciences Research Council [EP/I019413/1]; Region Rhone-Alpes; [ANR-09-BLAN-0094]
C.F.B. is grateful to Y. A. Sergeev, A. W. Baggaley, and L. K. Sherwin, and to the Engineering and Physical Sciences Research Council for financial support (Grant EP/I019413/1). P.-E. R. acknowledges discussions with E. L v que and support from ANR-09-BLAN-0094 and Region Rhone-Alpes.

All Science Journal Classification (ASJC) codes

General

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10.1073/pnas.1312548111

Cite this

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abstract = "Turbulence in superfluid helium is unusual and presents a challenge to fluid dynamicists because it consists of two coupled, interpenetrating turbulent fluids: the first is inviscid with quantized vorticity, and the second is viscous with continuous vorticity. Despite this double nature, the observed spectra of the superfluid turbulent velocity at sufficiently large length scales are similar to those of ordinary turbulence. We present experimental, numerical, and theoretical results that explain these similarities, and illustrate the limits of our present understanding of superfluid turbulence at smaller scales.",

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AU - Lvov, Victor

AU - Roche, PE

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N2 - Turbulence in superfluid helium is unusual and presents a challenge to fluid dynamicists because it consists of two coupled, interpenetrating turbulent fluids: the first is inviscid with quantized vorticity, and the second is viscous with continuous vorticity. Despite this double nature, the observed spectra of the superfluid turbulent velocity at sufficiently large length scales are similar to those of ordinary turbulence. We present experimental, numerical, and theoretical results that explain these similarities, and illustrate the limits of our present understanding of superfluid turbulence at smaller scales.

AB - Turbulence in superfluid helium is unusual and presents a challenge to fluid dynamicists because it consists of two coupled, interpenetrating turbulent fluids: the first is inviscid with quantized vorticity, and the second is viscous with continuous vorticity. Despite this double nature, the observed spectra of the superfluid turbulent velocity at sufficiently large length scales are similar to those of ordinary turbulence. We present experimental, numerical, and theoretical results that explain these similarities, and illustrate the limits of our present understanding of superfluid turbulence at smaller scales.

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DO - 10.1073/pnas.1312548111

M3 - Review article

SN - 0027-8424

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JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

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ER -

Experimental, numerical, and analytical velocity spectra in turbulent quantum fluid

Abstract

Bibliographical note

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