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Phys. Rev. Lett. 102, 144501 (2009) [4 pages]

Force Balance at the Transition from Selective Withdrawal to Viscous Entrainment

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François Blanchette* and Wendy W. Zhang
The Physics Department & James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA

Received 9 July 2008; published 7 April 2009

See accompanying Physics Synopsis

We simulate the evolution of the steady-state interface in the selective withdrawal regime. Selective withdrawal ends when the upward pull exerted by the viscous flow in the withdrawing liquid layer overcomes the downward force due to surface tension. The lower-layer dynamics are unimportant. The dominant contribution to the surface-tension force comes from the large area where the interface is weakly deflected, instead of the small area where the surface is most distorted. A scaling estimate based on this idea yields results that agree quantitatively with both simulations and previous experiments.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.144501
DOI:
10.1103/PhysRevLett.102.144501
PACS:
47.55.nm, 47.15.G−

*Now at School of Natural Sciences, University of California Merced, Merced, CA, 95343 USA.

fblanchette@ucmerced.edu

See Also

Comment: J. Eggers and S. Courrech du Pont, Comment on “Force Balance at the Transition from Selective Withdrawal to Viscous Entrainment”, Phys. Rev. Lett. 105, 089401 (2010).