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Simplifying the complexity of pipe flow
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Barkley, Dwight (2011) Simplifying the complexity of pipe flow. Physical Review E, Vol.84 (No.1). Article 016309 . doi:10.1103/PhysRevE.84.016309 ISSN 1063-651X.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.84.016309
Abstract
Transitional pipe flow is modeled as a one-dimensional excitable and bistable medium. Models are presented in two variables, turbulence intensity and mean shear, that evolve according to established properties of transitional turbulence. A continuous model captures the essence of the puff-slug transition as a change from excitability to bistability. A discrete model, which additionally incorporates turbulence locally as a chaotic repeller, reproduces almost all large-scale features of transitional pipe flow. In particular, it captures metastable localized puffs, puff splitting, slugs, localized edge states, a continuous transition to sustained turbulence via spatiotemporal intermittency (directed percolation), and a subsequent increase in turbulence fraction toward uniform, featureless turbulence.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Pipe -- Fluid dynamics -- Mathematical models, Turbulence -- Mathematical models | ||||
Journal or Publication Title: | Physical Review E | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1063-651X | ||||
Official Date: | August 2011 | ||||
Dates: |
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Volume: | Vol.84 | ||||
Number: | No.1 | ||||
Page Range: | Article 016309 | ||||
DOI: | 10.1103/PhysRevE.84.016309 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | IDRIS | ||||
Grant number: | 2010-1119 (IDRIS) |
Data sourced from Thomson Reuters' Web of Knowledge
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