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A mechanism for turbulence proliferation
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Frishman, Anna and Grafke, Tobias (2022) A mechanism for turbulence proliferation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478 (2265). doi:10.1098/rspa.2022.0218 ISSN 1364-5021.
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Official URL: https://doi.org/10.1098/rspa.2022.0218
Abstract
The subcritical transition to turbulence, as occurs in pipe flow, is believed to generically be a phase transition in the directed percolation universality class. At its heart is a balance between the decay rate and proliferation rate of localized turbulent structures, called puffs in pipe flow. Here we propose the first-ever dynamical mechanism for puff proliferation -- the process by which a puff splits into two. In the first stage of our mechanism, a puff expands into a slug. In the second stage, a laminar gap is formed within the turbulent core. The notion of a split-edge state, mediating the transition from a single puff to a two puff state, is introduced and its form is predicted. The role of fluctuations in the two stages of the transition, and how splits could be suppressed with increasing Reynolds number, are discussed. Using numerical simulations, the mechanism is validated within the stochastic Barkley model. Concrete predictions to test the proposed mechanism in pipe and other wall bounded flows, and implications for the universality of the directed percolation picture, are discussed.
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): | Turbulence -- Mathematical models, Transition flow, Laminar flow | |||||||||
Journal or Publication Title: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | |||||||||
Publisher: | The Royal Society Publishing | |||||||||
ISSN: | 1364-5021 | |||||||||
Official Date: | 28 September 2022 | |||||||||
Dates: |
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Volume: | 478 | |||||||||
Number: | 2265 | |||||||||
Number of Pages: | 14 | |||||||||
DOI: | 10.1098/rspa.2022.0218 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Open Access (Creative Commons) | |||||||||
Date of first compliant deposit: | 12 September 2022 | |||||||||
Date of first compliant Open Access: | 12 September 2022 | |||||||||
RIOXX Funder/Project Grant: |
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