Statistics of turbulence in the energy-containing range of Taylor-Couette compared to canonical wall-bounded flows

Dominik Krug, Xiang Yang, Charitha M. De Silva, Rodolfo Ostilla-Mónico, Roberto Verzicco, Ivan Marusic, Detlef Lohse

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Considering structure functions of the streamwise velocity component in a framework akin to the extended self-similarity hypothesis (ESS), de Silva et al. (J. Fluid Mech., vol. 823, 2017, pp. 498-510) observed that remarkably the large-scale (energy-containing range) statistics in canonical wall-bounded flows exhibit universal behaviour. In the present study, we extend this universality, which was seen to encompass also flows at moderate Reynolds number, to Taylor-Couette flow. In doing so, we find that also the transversal structure function of the spanwise velocity component exhibits the same universal behaviour across all flow types considered. We further demonstrate that these observations are consistent with predictions developed based on an attached-eddy hypothesis. These considerations also yield a possible explanation for the efficacy of the ESS framework by showing that it relaxes the self-similarity assumption for the attached-eddy contributions. By taking the effect of streamwise alignment into account, the attached-eddy model predicts different behaviour for structure functions in the streamwise and in the spanwise directions and that this effect cancels in the ESS framework - both consistent with the data. Moreover, it is demonstrated here that also the additive constants, which were previously believed to be flow dependent, are indeed universal at least in turbulent boundary layers and pipe flow where high Reynolds number data are currently available.

Original languageEnglish (US)
Pages (from-to)797-819
Number of pages23
JournalJournal of Fluid Mechanics
Volume830
DOIs
StatePublished - Nov 10 2017

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wall flow
Wall flow
Turbulence
turbulence
Statistics
statistics
Reynolds number
vortices
Boundary layer flow
Pipe flow
pipe flow
boundary layer flow
energy
Couette flow
turbulent boundary layer
high Reynolds number
Fluids
alignment
fluids
predictions

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Krug, Dominik ; Yang, Xiang ; De Silva, Charitha M. ; Ostilla-Mónico, Rodolfo ; Verzicco, Roberto ; Marusic, Ivan ; Lohse, Detlef. / Statistics of turbulence in the energy-containing range of Taylor-Couette compared to canonical wall-bounded flows. In: Journal of Fluid Mechanics. 2017 ; Vol. 830. pp. 797-819.
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Statistics of turbulence in the energy-containing range of Taylor-Couette compared to canonical wall-bounded flows. / Krug, Dominik; Yang, Xiang; De Silva, Charitha M.; Ostilla-Mónico, Rodolfo; Verzicco, Roberto; Marusic, Ivan; Lohse, Detlef.

In: Journal of Fluid Mechanics, Vol. 830, 10.11.2017, p. 797-819.

Research output: Contribution to journalArticle

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