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Theoretical perspective on the route to turbulence in a pipe
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Barkley, Dwight (2016) Theoretical perspective on the route to turbulence in a pipe. Journal of Fluid Mechanics, 803 . pp. 1-79. doi:10.1017/jfm.2016.465 ISSN 0022-1120.
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Official URL: https://doi.org/10.1017/jfm.2016.465
Abstract
The route to turbulence in pipe flow is a complex, nonlinear, spatiotemporal process for which an increasingly clear theoretical understanding has emerged. This understanding is explained to the reader in several steps, exploiting analogies to co-existing thermodynamic phases and to excitable and bistable media. In the end, simple equations encapsulating the keys physical properties of pipe turbulence provide a comprehensive picture of all large-scale states and stages of the transition process. Important among these are metastable localized puffs, localized edge states, puff splitting and interactions between puffs, the critical point for the onset of sustained turbulence via spatiotemporal intermittency (directed percolation), and finally the rise of fully turbulent flow in the form of expanding weak and strong turbulent slugs.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Turbulence -- Mathematical models., Pipe -- Fluid dynamics. | ||||||||
Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||
Publisher: | Cambridge University Press | ||||||||
ISSN: | 0022-1120 | ||||||||
Official Date: | September 2016 | ||||||||
Dates: |
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Volume: | 803 | ||||||||
Number of Pages: | 79 | ||||||||
Page Range: | pp. 1-79 | ||||||||
DOI: | 10.1017/jfm.2016.465 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 21 July 2016 | ||||||||
Date of first compliant Open Access: | 8 May 2017 | ||||||||
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