Transitions and probes in turbulent helium

Virginie Emsellem, Leo P. Kadanoff, Detlef Lohse, Patrick Tabeling, and Z. Jane Wang
Phys. Rev. E 55, 2672 – Published 1 March 1997
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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 Reλ≈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 Reλ≈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 Reλ. 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 Reλ<1300 uncomplicated by these effects, and which are thus suggestive of an intrinsic transition.

  • Received 19 April 1996

DOI:https://doi.org/10.1103/PhysRevE.55.2672

©1997 American Physical Society

Authors & Affiliations

Virginie Emsellem1, Leo P. Kadanoff2, Detlef Lohse2,3, Patrick Tabeling1, and Z. Jane Wang2

  • 1Laboratoire de Physique Statistique, Ecole Normale Supérieure, 75231 Paris cedex 05, France
  • 2The James Franck Institute, The University of Chicago, Chicago, Illinois 60637
  • 3Fachbereich Physik der Universität Marburg, Renthof 6, 35032 Marburg, Germany

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Vol. 55, Iss. 3 — March 1997

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