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

Krug, D., Yang, X., de Silva, C. M., Ostilla-Monico, R., Verzicco, R., Marusic, I., et al. (2017). Statistics of turbulence in the energy-containing range of Taylor-Couette compared to canonical wall-bounded flows. Journal of Fluid Mechanics, 830, 797-819. doi:10.1017/jfm.2017.625.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-16C5-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-16C6-9
Genre: Journal Article

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 Creators:
Krug, D., Author
Yang, X., Author
de Silva, C. M., Author
Ostilla-Monico, R., Author
Verzicco, R., Author
Marusic, I., Author
Lohse, Detlef1, Author              
Affiliations:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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Free keywords: rotating turbulence; Taylor-Couette flow; turbulent boundary layers
 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.

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Language(s): eng - English
 Dates: 2017-10-062017-11-10
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1017/jfm.2017.625
 Degree: -

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Title: Journal of Fluid Mechanics
Source Genre: Journal
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Publ. Info: -
Pages: - Volume / Issue: 830 Sequence Number: - Start / End Page: 797 - 819 Identifier: -