Formation of turbulent patterns near the onset of transition in plane Couette flow

Duguet Y, Schlatter P, Henningson DS (2010)

Publication Type: Journal article

Publication year: 2010

Journal

Journal of Fluid Mechanics Cambridge University Press (CUP)

Book Volume: 650

Pages Range: 119-129

DOI: 10.1017/S0022112010000297

Abstract

The formation of turbulent patterns in plane Couette flow is investigated near the onset of transition, using numerical simulation in a very large domain of size 800 h 2 h 356 h. Based on a maximum observation time of 20 000 inertial units, the threshold for the appearance of sustained turbulent motion is Rec = 324 1. For Rec < Re 380, turbulent-banded patterns form, irrespective of whether the initial perturbation is a noise or localized disturbance. Measurements of the turbulent fraction versus Re show evidence for a discontinuous phase transition scenario where turbulent spots play the role of the nuclei. Using a smaller computational box, the angle selection of the turbulent bands in the early stages of their development is shown to be related to the amplitude of the initial perturbation. Copyright © Cambridge University Press 2010.

Authors with CRIS profile

Philipp Schlatter

Involved external institutions

University of Paris 11 - Paris-Sud / Université Paris XI Paris-Sud FR France (FR) Royal Institute of Technology / Kungliga Tekniska Högskolan (KTH) SE Sweden (SE)

How to cite

APA:

Duguet, Y., Schlatter, P., & Henningson, D.S. (2010). Formation of turbulent patterns near the onset of transition in plane Couette flow. Journal of Fluid Mechanics, 650, 119-129. https://doi.org/10.1017/S0022112010000297

MLA:

Duguet, Y., Philipp Schlatter, and D. S. Henningson. "Formation of turbulent patterns near the onset of transition in plane Couette flow." Journal of Fluid Mechanics 650 (2010): 119-129.

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