Logarithmic Boundary Layers in Strong Taylor-Couette Turbulence

Sander G. Huisman, Sven Scharnowski, Christian Cierpka, Christian J. Kähler, Detlef Lohse, Chao Sun

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41 Citations (Scopus)
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Abstract

We provide direct measurements of the boundary layer properties in highly turbulent Taylor-Couette flow up to Re=2×10 6 (Ta=6.2×10 12 ) using high-resolution particle image velocimetry and particle tracking velocimetry. We find that the mean azimuthal velocity profile at the inner and outer cylinder can be fitted by the von Kármán log law u + =1/κlny + +B . The von Kármán constant κ is found to depend on the driving strength Ta and for large Ta asymptotically approaches κ≈0.40 . The variance profiles of the local azimuthal velocity have a universal peak around y + ≈12 and collapse when rescaled with the driving velocity (and not with the friction velocity), displaying a log dependence of y + as also found for channel and pipe flows.
Original languageEnglish
Article number264501
Number of pages5
JournalPhysical review letters
Volume110
DOIs
Publication statusPublished - 2013

Keywords

  • IR-89941
  • METIS-296790

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