Energy spectrum of grid-generated He II turbulence

L. Skrbek, J. J. Niemela, K. R. Sreenivasan

Research output: Contribution to journalArticle

Abstract

A grid of bars towed through a sample of He II produces both superfluid turbulence and classical hydrodynamic turbulence. The two velocity fields—in the normal fluid and in the superfluid—have been observed to have the same energy spectral density over a large range of scales. Here, we introduce a characteristic scale [formula presented] where [formula presented] is the rate of turbulent energy dissipation per unit volume, and note that the energy spectrum in superfluid turbulence depends also on the quantum of circulation [formula presented] for wave numbers [formula presented] We propose that the spectral density in this range is of the form [formula presented] where C is the three-dimensional Kolmogorov constant in classical turbulence. This form is consistent with recent experiments in the temperature range [formula presented] on the temporal decay of the vortex line density in the grid-generated He II turbulence.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume64
Issue number6
DOIs
StatePublished - Jan 1 2001

Fingerprint

Energy Spectrum
Turbulence
energy spectra
turbulence
grids
Grid
Superfluid
Spectral Density
Range of data
Energy Dissipation
Energy Density
Vortex
Hydrodynamics
energy dissipation
hydrodynamics
Decay
vortices
Fluid
Three-dimensional
Unit

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Energy spectrum of grid-generated He II turbulence. / Skrbek, L.; Niemela, J. J.; Sreenivasan, K. R.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 64, No. 6, 01.01.2001.

Research output: Contribution to journalArticle

@article{9945b5fb99ca4fa6be782609e84d5de5,
title = "Energy spectrum of grid-generated He II turbulence",
abstract = "A grid of bars towed through a sample of He II produces both superfluid turbulence and classical hydrodynamic turbulence. The two velocity fields—in the normal fluid and in the superfluid—have been observed to have the same energy spectral density over a large range of scales. Here, we introduce a characteristic scale [formula presented] where [formula presented] is the rate of turbulent energy dissipation per unit volume, and note that the energy spectrum in superfluid turbulence depends also on the quantum of circulation [formula presented] for wave numbers [formula presented] We propose that the spectral density in this range is of the form [formula presented] where C is the three-dimensional Kolmogorov constant in classical turbulence. This form is consistent with recent experiments in the temperature range [formula presented] on the temporal decay of the vortex line density in the grid-generated He II turbulence.",
author = "L. Skrbek and Niemela, {J. J.} and Sreenivasan, {K. R.}",
year = "2001",
month = "1",
day = "1",
doi = "10.1103/PhysRevE.64.067301",
language = "English (US)",
volume = "64",
journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
number = "6",

}

TY - JOUR

T1 - Energy spectrum of grid-generated He II turbulence

AU - Skrbek, L.

AU - Niemela, J. J.

AU - Sreenivasan, K. R.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - A grid of bars towed through a sample of He II produces both superfluid turbulence and classical hydrodynamic turbulence. The two velocity fields—in the normal fluid and in the superfluid—have been observed to have the same energy spectral density over a large range of scales. Here, we introduce a characteristic scale [formula presented] where [formula presented] is the rate of turbulent energy dissipation per unit volume, and note that the energy spectrum in superfluid turbulence depends also on the quantum of circulation [formula presented] for wave numbers [formula presented] We propose that the spectral density in this range is of the form [formula presented] where C is the three-dimensional Kolmogorov constant in classical turbulence. This form is consistent with recent experiments in the temperature range [formula presented] on the temporal decay of the vortex line density in the grid-generated He II turbulence.

AB - A grid of bars towed through a sample of He II produces both superfluid turbulence and classical hydrodynamic turbulence. The two velocity fields—in the normal fluid and in the superfluid—have been observed to have the same energy spectral density over a large range of scales. Here, we introduce a characteristic scale [formula presented] where [formula presented] is the rate of turbulent energy dissipation per unit volume, and note that the energy spectrum in superfluid turbulence depends also on the quantum of circulation [formula presented] for wave numbers [formula presented] We propose that the spectral density in this range is of the form [formula presented] where C is the three-dimensional Kolmogorov constant in classical turbulence. This form is consistent with recent experiments in the temperature range [formula presented] on the temporal decay of the vortex line density in the grid-generated He II turbulence.

UR - http://www.scopus.com/inward/record.url?scp=85035283256&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85035283256&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.64.067301

DO - 10.1103/PhysRevE.64.067301

M3 - Article

VL - 64

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 6

ER -