Chantry, Matthew, Tuckermann, Laurette S. and Barkley, Dwight (2016) Turbulent-laminar patterns in shear flows without walls. Journal of Fluid Mechanics, 791 . doi:10.1017/jfm.2016.92 ISSN 0022-1120.

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Abstract

Turbulent–laminar intermittency, typically in the form of bands and spots, is a ubiquitous feature of the route to turbulence in wall-bounded shear flows. Here we study the idealised shear between stress-free boundaries driven by a sinusoidal body force and demonstrate quantitative agreement between turbulence in this flow and that found in the interior of plane Couette flow – the region excluding the boundary layers. Exploiting the absence of boundary layers, we construct a model flow that uses only four Fourier modes in the shear direction and yet robustly captures the range of spatiotemporal phenomena observed in transition, from spot growth to turbulent bands and uniform turbulence. The model substantially reduces the cost of simulating intermittent turbulent structures while maintaining the essential physics and a direct connection to the Navier–Stokes equations. We demonstrate the generic nature of this process by introducing stress-free equivalent flows for plane Poiseuille and pipe flows that again capture the turbulent–laminar structures seen in transition.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Turbulence -- Mathematical models, Fluid dynamics
Journal or Publication Title:	Journal of Fluid Mechanics
Publisher:	Cambridge University Press
ISSN:	0022-1120
Official Date:	March 2016
Dates:	Date Event March 2016 Published 24 February 2016 Available 1 February 2016 Accepted 7 December 2015 Submitted
Volume:	791
Number of Pages:	14
DOI:	10.1017/jfm.2016.92
Status:	Peer Reviewed
Publication Status:	Published
Date of first compliant deposit:	25 August 2016
Date of first compliant Open Access:	26 August 2016
Funder:	France. Agence nationale de la recherche (ANR)
Grant number:	Grant TRANSFLOW
Adapted As:
Open Access Version:	ArXiv

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