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Dynamical landscape of transitional pipe flow
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Frishman, Anna and Grafke, Tobias (2022) Dynamical landscape of transitional pipe flow. Physical Review E, 105 (4). 045108. doi:10.1103/PhysRevE.105.045108 ISSN 2470-0045.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.105.045108
Abstract
The transition to turbulence in pipes is characterized by a coexistence of laminar and turbulent states. At the lower end of the transition, localized turbulent pulses, called puffs, can be excited. Puffs can decay when rare fluctuations drive them close to an edge state lying at the phase-space boundary with laminar flow. At higher Reynolds numbers, homogeneous turbulence can be sustained, and dominates over laminar flow. Here we complete this landscape of localized states, placing it within a unified bifurcation picture. We demonstrate our claims within the Barkley model, and motivate them generally. Specifically, we suggest the existence of an antipuff and a gap-edge—states which mirror the puff and related edge state. Previously observed laminar gaps forming within homogeneous turbulence are then naturally identified as antipuffs nucleating and decaying through the gap edge. We also discuss alternatives to the suggested bifurcation diagram, which could be relevant for wall-bounded flows other than straight pipes.
Item Type: | Journal Article | |||||||||
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Subjects: | T Technology > TJ Mechanical engineering and machinery | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Turbulence -- Mathematical models, Fluid dynamics, Pipe -- Fluid dynamics, Transition flow -- Simulation methods, Nonlinear theories | |||||||||
Journal or Publication Title: | Physical Review E | |||||||||
Publisher: | American Physical Society | |||||||||
ISSN: | 2470-0045 | |||||||||
Official Date: | 27 April 2022 | |||||||||
Dates: |
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Volume: | 105 | |||||||||
Number: | 4 | |||||||||
Number of Pages: | 8 | |||||||||
Article Number: | 045108 | |||||||||
DOI: | 10.1103/PhysRevE.105.045108 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Reuse Statement (publisher, data, author rights): | This research was originally published in the Journal of Lipid Research. Frishman, Anna and Grafke, Tobias (2022) Dynamical landscape of transitional pipe flow. Physical Review E, 105 (4). 045108. doi:10.1103/PhysRevE.105.045108 © the American Society for Biochemistry and Molecular Biology | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Date of first compliant deposit: | 11 May 2022 | |||||||||
Date of first compliant Open Access: | 12 May 2022 | |||||||||
RIOXX Funder/Project Grant: |
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