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Influence of slip on the dynamics of two-dimensional wakes

Published online by Cambridge University Press:  25 August 2009

DOMINIQUE LEGENDRE ,
ERIC LAUGA  and
JACQUES MAGNAUDET
DOMINIQUE LEGENDRE*
Affiliation:
Université de Toulouse; INPT, UPS; (Institut de Mécanique des Fluides de Toulouse IMFT); Allée Camille Soula, F-31400 Toulouse, France CNRS; IMFT; F-31400 Toulouse, France
ERIC LAUGA
Affiliation:
Department of Mechanical and Aerospace Engineering, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA
JACQUES MAGNAUDET
Affiliation:
Université de Toulouse; INPT, UPS; (Institut de Mécanique des Fluides de Toulouse IMFT); Allée Camille Soula, F-31400 Toulouse, France CNRS; IMFT; F-31400 Toulouse, France
*
†Email address for correspondence: legendre@imft.fr
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Abstract

We study numerically the two-dimensional flow past a circular cylinder as a prototypical transitional flow, and investigate the influence of a generic slip boundary condition on the wake dynamics. We show that slip significantly delays the onset of recirculation and shedding in the wake behind the cylinder. As expected, the drag on the cylinder decreases with slip, with an increased drag sensitivity for large Reynolds numbers. We also show that past the critical shedding Reynolds number, slip decreases the vorticity intensity in the wake, as well as the lift forces on the cylinder, but increases the shedding frequency. We further provide evidence that the shedding transition can be interpreted as a critical accumulation of surface vorticity, similarly to related studies on wake instability of axisymmetric bodies. Finally, we propose that our results could be used as a passive method to infer the effective friction properties of slipping surfaces.

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 633 , 25 August 2009 , pp. 437 - 447
Copyright
Copyright © Cambridge University Press 2009

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