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  Experimental study of the bottleneck in fully developed turbulence

Küchler, C., Bewley, G., & Bodenschatz, E. (2019). Experimental study of the bottleneck in fully developed turbulence. Journal of Statistical Physics, 175(3-4), 617-639. doi:10.1007/s10955-019-02251-1.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-B315-B Version Permalink: http://hdl.handle.net/21.11116/0000-0003-B316-A
Genre: Journal Article

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 Creators:
Küchler, Christian1, Author              
Bewley, G., Author
Bodenschatz, Eberhard1, Author              
Affiliations:
1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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Free keywords: Turbulence; Fluid dynamics; Anemometry
 Abstract: The energy spectrum of incompressible turbulence is known to reveal a pileup of energy at those high wavenumbers where viscous dissipation begins to act. It is called the bottleneck effect (Donzis and Sreenivasan in J Fluid Mech 657:171-188, 2010; Falkovich in Phys Fluids 6:1411-1414, 1994; Frisch et al. in Phys Rev Lett 101:144501, 2008; Kurien et al. in Phys Rev E 69:066313, 2004; Verma and Donzis in Phys A: Math Theor 40:4401-4412, 2007). Based on direct numerical simulations of the incompressible Navier-Stokes equations, results from Donzis and Sreenivasan (657:171-188, 2010) pointed to a power-law decrease of the strength of the bottleneck with increasing intensity of the turbulence, measured by the Taylor micro-scale Reynolds number R. Here we report the first experimental results on the dependence of the amplitude of the bottleneck as a function of R in a wind-tunnel flow. We used an active grid (Griffin et al. in Control of long-range correlations in turbulence, arXiv:1809.05126, 2019) in the variable density turbulence tunnel (VDTT) (Bodenschatz et al. in Rev Sci Instrum 85:093908, 2014) to reach R>5000, which is unmatched in laboratory flows of decaying turbulence. The VDTT with the active grid permitted us to measure energy spectra from flows of different R, with the small-scale features appearing always at the same frequencies. We relate those spectra recorded to a common reference spectrum, largely eliminating systematic errors which plague hotwire measurements at high frequencies. The data are consistent with a power law for the decrease of the bottleneck strength for the finite range of R in the experiment.

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Language(s): eng - English
 Dates: 2019-03-082019-05
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1007/s10955-019-02251-1
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Title: Journal of Statistical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 175 (3-4) Sequence Number: - Start / End Page: 617 - 639 Identifier: -