Transient turbulence in plane Couette flow

Plane Couette flow, the flow between two parallel plates moving in opposite directions, belongs to the group of shear flows where turbulence occurs while the laminar profile is stable. Experimental and numerical studies show that at intermediate Reynolds numbers turbulence is transient and that the...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2010-01, Vol.81 (1 Pt 2), p.015301-015301, Article 015301
Hauptverfasser: Schneider, Tobias M, De Lillo, Filippo, Buehrle, Juergen, Eckhardt, Bruno, Dörnemann, Tim, Dörnemann, Kay, Freisleben, Bernd
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container_issue 1 Pt 2
container_start_page 015301
container_title Physical review. E, Statistical, nonlinear, and soft matter physics
container_volume 81
creator Schneider, Tobias M
De Lillo, Filippo
Buehrle, Juergen
Eckhardt, Bruno
Dörnemann, Tim
Dörnemann, Kay
Freisleben, Bernd
description Plane Couette flow, the flow between two parallel plates moving in opposite directions, belongs to the group of shear flows where turbulence occurs while the laminar profile is stable. Experimental and numerical studies show that at intermediate Reynolds numbers turbulence is transient and that the lifetimes are distributed exponentially. However, these studies have remained inconclusive about a divergence in lifetimes above a critical Reynolds number. The extensive numerical results for flow in a box of width 2pi and length 8pi presented here cover observation times up to 12,000 units and show that while the lifetimes increase rapidly with Reynolds number, they do not indicate a divergence and therefore no transition to persistent turbulence.
doi_str_mv 10.1103/PhysRevE.81.015301
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title Transient turbulence in plane Couette flow
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