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Statistical transition to turbulence in plane channel flow
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Gomé, Sébastien, Tuckerman, Laurette S. and Barkley, Dwight (2020) Statistical transition to turbulence in plane channel flow. Physical Review Fluids, 5 (8). 083905. doi:10.1103/PhysRevFluids.5.083905 ISSN 2469-990X.
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Official URL: https://doi.org/10.1103/PhysRevFluids.5.083905
Abstract
Intermittent turbulent-laminar patterns characterize the transition to turbulence in pipe, plane Couette, and plane channel flows. The time evolution of turbulent-laminar bands in plane channel flow is studied via direct numerical simulations using the parallel pseudospectral code ChannelFlow in a narrow computational domain tilted by 24∘ with respect to the streamwise direction. Mutual interactions between bands are studied through their propagation velocities. Energy profiles show that the flow surrounding isolated turbulent bands returns to the laminar base flow over large distances. Depending on the Reynolds number, a turbulent band can either decay to laminar flow or split into two bands. As with past studies of other wall-bounded shear flows, in most cases survival probabilities are found to be consistent with exponential distributions for both decay and splitting, indicating that the processes are memoryless. Statistically estimated mean lifetimes for decay and splitting are plotted as a function of the Reynolds number and lead to the estimation of a critical Reynolds number Recross≃965, where decay and splitting lifetimes cross at greater than 106 advective time units. The processes of splitting and decay are also examined through analysis of their Fourier spectra. The dynamics of large-scale spectral components seem to statistically follow the same pathway during the splitting of a turbulent band and may be considered as precursors of splitting.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics 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): | Turbulence -- Mathematical models, Transition flow, Navier-Stokes equations -- Numerical solutions, Reynolds number | |||||||||
Journal or Publication Title: | Physical Review Fluids | |||||||||
Publisher: | American Physical Society | |||||||||
ISSN: | 2469-990X | |||||||||
Official Date: | 25 August 2020 | |||||||||
Dates: |
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Volume: | 5 | |||||||||
Number: | 8 | |||||||||
Article Number: | 083905 | |||||||||
DOI: | 10.1103/PhysRevFluids.5.083905 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Copyright Holders: | © 2020 American Physical Society | |||||||||
Date of first compliant deposit: | 12 August 2020 | |||||||||
Date of first compliant Open Access: | 12 August 2020 | |||||||||
RIOXX Funder/Project Grant: |
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