Transitions and probes in turbulent helium

Virginie Emsellem, Leo P. Kadanoff, Detlef Lohse, Patrick Tabeling, Z. Jane Wang

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Abstract

Previous analysis of a helium turbulence experiment by Zocchi et al. and Tabeling et al. [Phys. Rev. E 50, 3693 (1994); 53, 1613 (1996)] shows a transition at the Taylor Reynolds number Re lambda ~ 700. Here correlation function data are analyzed which gives further evidence for this transition. It is seen in both the power spectrum and in structure function measurements. Two possible explanations may be offered for this observed transition: that it is intrinsic to the turbulence flow in this closed box experiment or that it is an effect of a change in the flow around the anemometer. We particularly examine a pair of ``probe effects.'' The first is a thermal boundary layer which does exist about the probe and does limit the probe response, particularly at high frequencies. Arguments based on simulations of the response and upon observations of dissipation suggest that this effect is only crucial beyond Re lambda ~ 2000. The second effect is produced by vortex shedding behind the probe. This has been seen to produce a large modification in some of the power spectra for large Re lambda . It might also complicate the interpretation of the experimental results for higher values of the Reynolds number. However, there seems to be a remaining range of data for Re lambda <1300 uncomplicated by these effects, and which are thus suggestive of an intrinsic transition.
Original languageEnglish
Pages (from-to)2672-2681
JournalPhysical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics
Volume55
Issue number3
DOIs
Publication statusPublished - 1997

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Probe
helium
probes
Power Spectrum
Reynolds number
power spectra
Turbulence
turbulence
anemometers
Vortex Shedding
thermal boundary layer
vortex shedding
Structure-function
Experiment
boxes
Correlation Function
Boundary Layer
Dissipation
dissipation
Closed

Keywords

  • IR-50345

Cite this

Emsellem, Virginie ; Kadanoff, Leo P. ; Lohse, Detlef ; Tabeling, Patrick ; Wang, Z. Jane. / Transitions and probes in turbulent helium. In: Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics. 1997 ; Vol. 55, No. 3. pp. 2672-2681.
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abstract = "Previous analysis of a helium turbulence experiment by Zocchi et al. and Tabeling et al. [Phys. Rev. E 50, 3693 (1994); 53, 1613 (1996)] shows a transition at the Taylor Reynolds number Re lambda ~ 700. Here correlation function data are analyzed which gives further evidence for this transition. It is seen in both the power spectrum and in structure function measurements. Two possible explanations may be offered for this observed transition: that it is intrinsic to the turbulence flow in this closed box experiment or that it is an effect of a change in the flow around the anemometer. We particularly examine a pair of ``probe effects.'' The first is a thermal boundary layer which does exist about the probe and does limit the probe response, particularly at high frequencies. Arguments based on simulations of the response and upon observations of dissipation suggest that this effect is only crucial beyond Re lambda ~ 2000. The second effect is produced by vortex shedding behind the probe. This has been seen to produce a large modification in some of the power spectra for large Re lambda . It might also complicate the interpretation of the experimental results for higher values of the Reynolds number. However, there seems to be a remaining range of data for Re lambda <1300 uncomplicated by these effects, and which are thus suggestive of an intrinsic transition.",
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Transitions and probes in turbulent helium. / Emsellem, Virginie; Kadanoff, Leo P.; Lohse, Detlef ; Tabeling, Patrick; Wang, Z. Jane.

In: Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics, Vol. 55, No. 3, 1997, p. 2672-2681.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - Transitions and probes in turbulent helium

AU - Emsellem, Virginie

AU - Kadanoff, Leo P.

AU - Lohse, Detlef

AU - Tabeling, Patrick

AU - Wang, Z. Jane

PY - 1997

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N2 - Previous analysis of a helium turbulence experiment by Zocchi et al. and Tabeling et al. [Phys. Rev. E 50, 3693 (1994); 53, 1613 (1996)] shows a transition at the Taylor Reynolds number Re lambda ~ 700. Here correlation function data are analyzed which gives further evidence for this transition. It is seen in both the power spectrum and in structure function measurements. Two possible explanations may be offered for this observed transition: that it is intrinsic to the turbulence flow in this closed box experiment or that it is an effect of a change in the flow around the anemometer. We particularly examine a pair of ``probe effects.'' The first is a thermal boundary layer which does exist about the probe and does limit the probe response, particularly at high frequencies. Arguments based on simulations of the response and upon observations of dissipation suggest that this effect is only crucial beyond Re lambda ~ 2000. The second effect is produced by vortex shedding behind the probe. This has been seen to produce a large modification in some of the power spectra for large Re lambda . It might also complicate the interpretation of the experimental results for higher values of the Reynolds number. However, there seems to be a remaining range of data for Re lambda <1300 uncomplicated by these effects, and which are thus suggestive of an intrinsic transition.

AB - Previous analysis of a helium turbulence experiment by Zocchi et al. and Tabeling et al. [Phys. Rev. E 50, 3693 (1994); 53, 1613 (1996)] shows a transition at the Taylor Reynolds number Re lambda ~ 700. Here correlation function data are analyzed which gives further evidence for this transition. It is seen in both the power spectrum and in structure function measurements. Two possible explanations may be offered for this observed transition: that it is intrinsic to the turbulence flow in this closed box experiment or that it is an effect of a change in the flow around the anemometer. We particularly examine a pair of ``probe effects.'' The first is a thermal boundary layer which does exist about the probe and does limit the probe response, particularly at high frequencies. Arguments based on simulations of the response and upon observations of dissipation suggest that this effect is only crucial beyond Re lambda ~ 2000. The second effect is produced by vortex shedding behind the probe. This has been seen to produce a large modification in some of the power spectra for large Re lambda . It might also complicate the interpretation of the experimental results for higher values of the Reynolds number. However, there seems to be a remaining range of data for Re lambda <1300 uncomplicated by these effects, and which are thus suggestive of an intrinsic transition.

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