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Patterns in transitional shear turbulence. Part 1. Energy transfer and mean-flow interaction
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Gomé, Sébastien, Tuckerman, Laurette S. and Barkley, Dwight (2023) Patterns in transitional shear turbulence. Part 1. Energy transfer and mean-flow interaction. Journal of Fluid Mechanics, 964 . A16. doi:10.1017/jfm.2023.288 ISSN 0022-1120.
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Official URL: http://dx.doi.org/10.1017/jfm.2023.288
Abstract
Low Reynolds number turbulence in wall-bounded shear flows en route to laminar flow takes the form of spatially intermittent turbulent structures. In plane shear flows, these appear as a regular pattern of alternating turbulent and quasi-laminar flow. Both the physical and the spectral energy balance of a turbulent–laminar pattern in plane Couette flow are computed and compared to those of uniform turbulence. In the patterned state, the mean flow is strongly modulated and is fuelled by two mechanisms: primarily, the nonlinear self-interaction of the mean flow (via mean advection), and secondly, the extraction of energy from turbulent fluctuations (via negative spectral production, associated with an energy transfer from small to large scales). Negative production at large scales is also found in the uniformly turbulent state. Important features of the energy budgets are surveyed as a function of Re through the transition between uniform turbulence and turbulent–laminar patterns.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics Q Science > QC Physics T Technology > TA Engineering (General). Civil engineering (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Pattern formation (Physical sciences) , Turbulence , Fluid dynamic, Fluid dynamics -- Mathematical models, Shear flow , Reynolds number , Energy transfer , Fluid mechanics -- Mathematical models | ||||||||
Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||
Publisher: | Cambridge University Press | ||||||||
ISSN: | 0022-1120 | ||||||||
Official Date: | 10 June 2023 | ||||||||
Dates: |
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Volume: | 964 | ||||||||
Article Number: | A16 | ||||||||
DOI: | 10.1017/jfm.2023.288 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 30 May 2023 | ||||||||
Date of first compliant Open Access: | 31 May 2023 |
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