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Localized edge states nucleate turbulence in extended plane Couette cells

Published online by Cambridge University Press:  08 March 2010

TOBIAS M. SCHNEIDER ,
DANIEL MARINC  and
BRUNO ECKHARDT
TOBIAS M. SCHNEIDER
Affiliation:
Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA
DANIEL MARINC
Affiliation:
Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany Aerodynamisches Institut, RWTH Aachen, D-52062 Aachen, Germany
BRUNO ECKHARDT*
Affiliation:
Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany Department of Mechanical Engineering, TU Delft, 2928 CA Delft, The Netherlands
*
†Email address for correspondence: bruno.eckhardt@physik.uni-marburg.de
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Abstract

We study the turbulence transition of plane Couette flow in large domains where localized perturbations are observed to generate growing turbulent spots. Extending previous studies on the boundary between laminar and turbulent dynamics we determine invariant structures intermediate between laminar and turbulent flow. In wide but short domains we find states that are localized in spanwise direction, and in wide and long domains the states are also localized in downstream direction. These localized states act as critical nuclei for the transition to turbulence in spatially extended domains.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 646 , 10 March 2010 , pp. 441 - 451
Copyright
Copyright © Cambridge University Press 2010

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