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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

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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
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:
DateEvent
21 December 2018Published
30 November 2018Accepted
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:
Project/Grant IDRIOXX Funder NameFunder ID
TRANSFLOW[ANR] Agence Nationale de la Recherchehttp://dx.doi.org/10.13039/501100001665

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