Scale interactions and spectral energy transfer in turbulent channel flow
File(s)20180802 JFM_MC_HC_YH.pdf (2.08 MB)
Accepted version
Author(s)
Cho, Minjeong
Hwang, Yongyun
Choi, Haecheon
Type
Journal Article
Abstract
Spectral energy transfer in a turbulent channel flow is investigated at Reynolds number Re ≃1700 , based on the wall shear velocity and channel half-height, with a particular emphasis on full visualization of triadic wave interactions involved in turbulent transport. As in previous studies, turbulent production is found to be almost uniform, especially over the logarithmic region, and the related spanwise integral length scale is approximately proportional to the distance from the wall. In the logarithmic and outer regions, the energy balance at the integral length scales is mainly formed between production and nonlinear turbulent transport, the latter of which plays the central role in the energy cascade down to the Kolmogorov microscale. While confirming the classical role of the turbulent transport, the triadic wave interaction analysis unveils two new types of scale interaction processes, highly active in the near-wall and the lower logarithmic regions. First, for relatively small energy-containing motions, part of the energy transfer mechanisms from the integral to the adjacent small length scale in the energy cascade is found to be provided by the interactions between larger energy-containing motions. It is subsequently shown that this is related to involvement of large energy-containing motions in skin-friction generation. Second, there exists a non-negligible amount of energy transfer from small to large integral scales in the process of downward energy transfer to the near-wall region. This type of scale interaction is predominant only for the streamwise and spanwise velocity components, and it plays a central role in the formation of the wall-reaching inactive part of large energy-containing motions. A further analysis reveals that this type of scale interaction leads the wall-reaching inactive part to scale in the inner units, consistent with the recent observation. Finally, it is proposed that turbulence production and pressure–strain spectra support the existence of the self-sustaining process as the main turnover dynamics of all the energy-containing motions.
Date Issued
2018-11-10
Date Acceptance
2018-08-06
Citation
Journal of Fluid Mechanics, 2018, 854, pp.474-504
ISSN
0022-1120
Publisher
Cambridge University Press (CUP)
Start Page
474
End Page
504
Journal / Book Title
Journal of Fluid Mechanics
Volume
854
Copyright Statement
© 2018 Cambridge University Press. This paper has been accepted for publication and will appear in a revised form, subsequent to peer-review and/or editorial input by Cambridge University Press.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000444082700003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
turbulent boundary layers
turbulent flows
NEAR-WALL TURBULENCE
SELF-SUSTAINING PROCESS
BOUNDARY-LAYERS
ATTACHED EDDIES
STREAK INSTABILITY
REYNOLDS-NUMBERS
SHEAR-FLOW
FLUCTUATIONS
MOTION
AMPLIFICATION
Publication Status
Published
Date Publish Online
2018-09-10