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Local and global instabilities in the wake of a sphere

Published online by Cambridge University Press:  30 April 2008

BENOÎT PIER
BENOÎT PIER*
Affiliation:
Laboratoire de mécanique des fluides et d'acoustique, École centrale de Lyon, CNRS, Université Claude-Bernard Lyon 1, INSA Lyon, 36 avenue Guy-de-Collongue, 69134 Écully cedex, France
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Abstract

The global dynamics of open shear flows is closely related to the nature of their local instability characteristics, either convective or absolute. The present investigation revisits the wake of a sphere, obtains its global behaviour by direct numerical simulations and derives its local stability features, computed for the underlying basic flow under a quasi-parallel flow assumption. It is shown that both the axisymmetric and the planar symmetric basic flows exhibit domains of local absolute instability in the near-wake region. The largest absolute growth rates occur for instabilities developing on the non-axisymmetric basic wake and conserving its planar symmetry.

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Papers
Information
Journal of Fluid Mechanics , Volume 603 , 25 May 2008 , pp. 39 - 61
Copyright
Copyright © Cambridge University Press 2008

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