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  Direct numerical simulations of spiral Taylor-Couette turbulence

Berghout, P., Dingemans, R. J., Zhu, X., Verzicco, R., Stevens, R. J. A. M., van Saarloos, W., et al. (2020). Direct numerical simulations of spiral Taylor-Couette turbulence. Journal of Fluid Mechanics, 887: A18. doi:10.1017/jfm.2020.33.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-9B5E-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-9B5F-3
Genre: Journal Article

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Berghout, P., Author
Dingemans, R. J., Author
Zhu, X., Author
Verzicco, R., Author
Stevens, R. J. A. M., Author
van Saarloos, W., Author
Lohse, Detlef1, Author              
Affiliations:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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Free keywords: Taylor-Couette flow; pattern formation; rotating turbulence
 Abstract: We perform direct numerical simulations of spiral turbulent Taylor-Couette (TC) flow for 400 6 Rei 6 1200 and 2000 6 Reo 6 1000, i.e. counter-rotation. The aspect ratio D height =gap width of the domain is 42 6 6 125, with periodic boundary conditions in the axial direction, and the radius ratio D ri =ro D 0:91. We show that, with decreasing Rei or with decreasing Reo, the formation of a turbulent spiral from an initially `featureless turbulent' flow can be described by the phenomenology of the Ginzburg-Landau equations, similar as seen in the experimental findings of Prigent et al. (Phys. Rev. Lett., vol. 89, 2002, 014501) for TC flow at D 0 :98 an D 430 and in numerical simulations of oblique turbulent bands in plane Couette flow by Rolland & Manneville (Eur. Phys. J., vol. 80, 2011, pp. 529-544). We therefore conclude that the Ginzburg-Landau description also holds when curvature effects play a role, and that the finite-wavelength instability is not a consequence of the no-slip boundary conditions at the upper and lower plates in the experiments. The most unstable axial wavelength z;c=d 41 in our simulations differs from findings in Prigent et al., where z;c =d 32, and so we conclude that z;c depends on the radius ratio . Furthermore, we find that the turbulent spiral is stationary in the reference frame of the mean velocity in the gap, rather than the mean velocity of the two rotating cylinders.

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Language(s): eng - English
 Dates: 2020-01-282020-03-25
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1017/jfm.2020.33
 Degree: -

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Title: Journal of Fluid Mechanics
Source Genre: Journal
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Pages: 16 Volume / Issue: 887 Sequence Number: A18 Start / End Page: - Identifier: -