Streak instability in near-wall turbulence revisited
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Accepted version
Author(s)
Cassinelli, A
de Giovanetti, M
Hwang, Y
Type
Journal Article
Abstract
The regeneration cycle of streaks and streamwise vortices plays a central role in the sustainment of near-wall turbulence. In particular, the streak breakdown phase in the regeneration cycle is the core process in the formation of the streamwise vortices, but its current understanding is limited particularly in a real turbulent environment. This study is aimed at gaining fundamental insight into the underlying physical mechanism of the streak breakdown in the presence of background turbulent fluctuation. We perform a numerical experiment based on direct numerical simulation, in which streaks are artificially generated by a body forcing computed from previous linear theory. Upon increasing the forcing amplitude, the artificially driven streaks are found to generate an intense fluctuation of the wall-normal and spanwise velocities in a fairly large range of amplitudes. This cross-streamwise velocity fluctuation shows its maximum at λ+ x ≈ 200 − 300 (λ+ x is the inner-scaled streamwise wavelength), but it only appears for λ+ x ≲ 3000 − 4000. Further examination with dynamic mode decomposition reveals that the related flow field is composed of sinuous meandering motion of the driven streaks and alternating cross-streamwise velocity structures, clearly reminiscent of sinuous-mode streak instability found in previous studies. Finally, it is shown that these structures are reasonably well aligned along the critical layer of the secondary instability, indicating that the surrounding turbulence does not significantly modify the inviscid inflectional mechanism of the streak breakdown via streak instability and/or streak transient growth.
Date Issued
2017-03-02
Date Acceptance
2017-02-09
Citation
Journal of Turbulence, 2017, 18 (5), pp.443-464
ISSN
1468-5248
Publisher
Taylor & Francis
Start Page
443
End Page
464
Journal / Book Title
Journal of Turbulence
Volume
18
Issue
5
Copyright Statement
© 2017 Informa UK Limited, trading as Taylor & Francis Group. This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Turbulence on 2 Mar 2017, available online: https://www.tandfonline.com/doi/full/10.1080/14685248.2017.1294757
Sponsor
Engineering and Physical Sciences Research Council
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/N019342/1
EP/N019342/1
Subjects
Fluids & Plasmas
0915 Interdisciplinary Engineering
0913 Mechanical Engineering
Publication Status
Published
Date Publish Online
2017-03-02