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Self-sustaining process in Taylor-Couette flow
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Dessup, Tommy, Tuckerman, Laurette S., Wesfreid, José Eduardo, Barkley, Dwight and Willis, Ashley (2018) Self-sustaining process in Taylor-Couette flow. Physical Review Fluids, 3 . 123902. doi:10.1103/PhysRevFluids.3.123902
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Official URL: https://doi.org/10.1103/PhysRevFluids.3.123902
Abstract
The transition from Tayor vortex flow to wavy-vortex flow is revisited. The self-sustaining process (SSP) of Waleffe [Phys. Fluids 9, 883 (1997)] proposes that a key ingredient in transition to turbulence in wall-bounded shear flows is a three-step process involving rolls advecting streamwise velocity, leading to streaks which become unstable to a wavy perturbation whose nonlinear interaction with itself feeds the rolls. We investigate this process in Taylor-Couette flow. The instability of Taylor-vortex flow to wavy-vortex flow, a process which is the inspiration for the second phase of the SSP, is shown to be caused by the streaks, with the rolls playing a negligible role, as predicted by Jones [J. Fluid Mech. 157, 135 (1985)] and demonstrated by Martinand et al. [Phys. Fluids 26, 094102 (2014)]. In the third phase of the SSP, the nonlinear interaction of the waves with themselves reinforces the rolls. We show this both quantitatively and qualitatively, identifying physical regions in which this reinforcement is strongest, and also demonstrate that this nonlinear interaction depletes the streaks.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QC Physics | ||||||
| Divisions: | Faculty of Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Taylor vortices | ||||||
| Journal or Publication Title: | Physical Review Fluids | ||||||
| Publisher: | American Physical Society | ||||||
| ISSN: | 2469-990X | ||||||
| Official Date: | 21 December 2018 | ||||||
| Dates: |
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| Date of first compliant deposit: | 3 January 2019 | ||||||
| Volume: | 3 | ||||||
| Article Number: | 123902 | ||||||
| DOI: | 10.1103/PhysRevFluids.3.123902 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Publisher Statement: | © 2018 American Physical Society | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| RIOXX Funder/Project Grant: |
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