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Influence of confinement on a two-dimensional wake

Published online by Cambridge University Press:  21 October 2011

Luca Biancofiore ,
François Gallaire  and
Richard Pasquetti
Luca Biancofiore
Affiliation:
Laboratoire J. A. Dieudonné Université de Nice Sophia Antipolis, Parc Valrose, F-06108 Nice CEDEX 02, France
François Gallaire*
Affiliation:
EPFL/LFMI, Route Cantonale, Lausanne, Switzerland
Richard Pasquetti
Affiliation:
Laboratoire J. A. Dieudonné Université de Nice Sophia Antipolis, Parc Valrose, F-06108 Nice CEDEX 02, France
*
†Email address for correspondence: [email protected]
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Abstract

The spatio-temporal development of an incompressible two-dimensional viscous wake flow confined by two flat slipping plates is investigated by means of direct numerical simulation (DNS), using a spectral Chebyshev multi-domain method. The limit between unstable and stable configurations is determined with respect to several non-dimensional parameters: the confinement, the velocity ratio and two different Reynolds numbers, and . The comparison of such limit curves with theoretical results obtained by Juniper (J. Fluid Mech., vol. 565, 2006, pp. 171–195) confirms the existence of a region at moderate confinement where the instability is maximal. Moreover, instabilities are also observed under sustained co-flow, in the form of a vacillating front. Using a direct computation of the two-dimensional base flow, we perform a local linear stability analysis for several velocity profiles prevailing at different spatial locations, so as to determine the local spatio-temporal nature of the flow: convectively unstable or absolutely unstable. Comparisons of the DNS and local stability analysis results are provided and discussed.

JFM classification

Instability: Absolute/convective instability Wakes/Jets: Wakes
Type
Papers
Information
Journal of Fluid Mechanics , Volume 688 , 10 December 2011 , pp. 297 - 320
Copyright
Copyright © Cambridge University Press 2011

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