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Unsteady flow separation on slip boundaries

Phys. Fluids 20, 097101 (2008); doi:10.1063/1.2923193

Published 3 September 2008

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Francois Lekien1 and George Haller2
1École Polytechnique, Université Libre de Bruxelles, CP 165/11, B-1050 Brussels, Belgium
2Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge Massachusetts 02139, USA
We derive analytic criteria for the location and angle of unsteady particle separation and reattachment in two-dimensional flows with free-slip boundary conditions. Our wall-based criteria show that, in general, fluid breakaway from the boundary takes place at locations different from either instantaneous or averaged stagnation points. Indeed, for time-varying flows, separation does not occur along a free streamline or along an average free streamline. We apply the formula to transport in randomized Rayleigh–Bénard convection cells, as well as to boundary current separation and reattachment in high-frequency radar data collected in Monterey Bay, California. ©2008 American Institute of Physics
History: Received 1 June 2007; accepted 17 December 2007; published 3 September 2008
Permalink: http://link.aip.org/link/?PHFLE6/20/097101/1
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