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Patterns in wall-bounded shear flows

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Tuckerman, Laurette S., Chantry, Matthew and Barkley, Dwight (2020) Patterns in wall-bounded shear flows. Annual Review of Fluid Mechanics, 52 (1). pp. 343-367. doi:10.1146/annurev-fluid-010719-060221

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Abstract

Experiments and numerical simulations have shown that turbulence in transitional wall-bounded shear flows frequently takes the form of long oblique bands if the domains are sufficiently large to accommodate them. These turbulent bands have been observed in plane Couette flow, plane Poiseuille flow, counter-rotating Taylor–Couette flow, torsional Couette flow, and annular pipe flow. At their upper Reynolds number threshold, laminar regions carve out gaps in otherwise uniform turbulence, ultimately forming regular turbulent–laminar patterns with a large spatial wavelength. At the lower threshold, isolated turbulent bands sparsely populate otherwise laminar domains, and complete laminarization takes place via their disappearance. We review results for plane Couette flow, plane Poiseuille flow, and free-slip Waleffe flow, focusing on thresholds, wavelengths, and mean flows, with many of the results coming from numerical simulations in tilted rectangular domains that form the minimal flow unit for the turbulent–laminar bands.

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Annual Review of Fluid Mechanics
Publisher: Annual Reviews
ISSN: 0066-4189
Official Date: January 2020
Dates:
DateEvent
January 2020Published
20 August 2019Available
23 May 2019Accepted
Volume: 52
Number: 1
Page Range: pp. 343-367
DOI: 10.1146/annurev-fluid-010719-060221
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Open Access Version:
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