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Unstable Periodic Motion in Turbulent Flows : Volume 13, Issue 5 (21/09/2006)

By Kawahara, G.

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Book Id: WPLBN0004019784
Format Type: PDF Article :
File Size: Pages 9
Reproduction Date: 2015

Title: Unstable Periodic Motion in Turbulent Flows : Volume 13, Issue 5 (21/09/2006)  
Author: Kawahara, G.
Volume: Vol. 13, Issue 5
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Veen, L. V., Kida, S., & Kawahara, G. (2006). Unstable Periodic Motion in Turbulent Flows : Volume 13, Issue 5 (21/09/2006). Retrieved from

Description: Department of Mechanical Science, Graduate School of Engineering Science, Osaka University, Osaka 560-8531, Japan. Recently found unstable time-periodic solutions to the incompressible Navier-Stokes equation are reviewed to discuss their relevance to plane Couette turbulence and isotropic turbulence. It is shown that the periodic motion embedded in the Couette turbulence exhibits a regeneration cycle of near-wall coherent structures, which consists of formation and breakdown of streamwise vortices and low-velocity streaks. In phase space a turbulent state wanders around the corresponding periodic orbit for most of the time, so that the root-mean-squares of velocity fluctuations of the Couette turbulence agree very well with the temporal averages of those along the periodic orbit. The Kolmogorov universal-range energy spectrum is observed for the periodic motion embedded in high-symmetric turbulence at the Taylor-microscale Reynolds number ReΛ=67. A laminarization strategy inspired by investigation of the phase-space structure in the vicinity of the unstable periodic orbit is presented for the Couette turbulence.

Unstable periodic motion in turbulent flows

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