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Attached flow structure and streamwise energy spectra in a turbulent boundary layer

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Title: Attached flow structure and streamwise energy spectra in a turbulent boundary layer
Authors: Srinath, S
Vassilicos, JC
Cuvier, C
Laval, J-P
Stanislas, M
Foucaut, J-M
Item Type: Journal Article
Abstract: On the basis of (i) particle image velocimetry data of a turbulent boundary layer with large field of view and good spatial resolution and (ii) a mathematical relation between the energy spectrum and specifically modeled flow structures, we show that the scalings of the streamwise energy spectrum E11(kx) in a wave-number range directly affected by the wall are determined by wall-attached eddies but are not given by the Townsend-Perry attached eddy model's prediction of these spectra, at least at the Reynolds numbers Reτ considered here which are between 103 and 104. Instead, we find E11(kx)∼k−1−px where p varies smoothly with distance to the wall from negative values in the buffer layer to positive values in the inertial layer. The exponent p characterizes the turbulence levels inside wall-attached streaky structures conditional on the length of these structures. A particular consequence is that the skin friction velocity is not sufficient to scale E11(kx) for wave numbers directly affected by the wall.
Issue Date: 1-May-2018
Date of Acceptance: 1-May-2018
URI: http://hdl.handle.net/10044/1/60551
DOI: https://dx.doi.org/10.1103/PhysRevE.97.053103
ISSN: 1539-3755
Publisher: American Physical Society
Journal / Book Title: Physical Review E
Volume: 97
Issue: 5
Copyright Statement: © 2018 American Physical Society.
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: 320560
Keywords: Science & Technology
Physical Sciences
Physics, Fluids & Plasmas
Physics, Mathematical
Physics
PARTICLE IMAGE VELOCIMETRY
LARGE-SCALE MOTIONS
PIPE-FLOW
WALL TURBULENCE
3-DIMENSIONAL STRUCTURES
INTENSITY
PIV
SIMILARITY
CHANNEL
REGION
Publication Status: Published
Article Number: 053103
Online Publication Date: 2018-05-14
Appears in Collections:Faculty of Engineering
Aeronautics



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