Coexistence of two singularities in dewetting flows: regularizing the corner tip
Coexistence of two singularities in dewetting flows: regularizing the corner tip
Entrainment in wetting and dewetting flows often occurs through the formation of a corner with a very sharp tip. This corner singularity comes on top of the divergence of viscous stress near the contact line, which is only regularized at molecular scales. We investigate the fine structure of corners appearing at the rear of sliding drops. Experiments reveal a sudden decrease of tip radius, down to 20????m, before entrainment occurs. We propose a lubrication model for this phenomenon, which compares well to experiments. Despite the disparity of length scales, it turns out that the tip size is set by the classical viscous singularity, for which we deduce a nanometric length from our macroscopic measurements.
1-4
Peters, Ivo
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Snoeijer, Jacco H.
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Daerr, Adrian
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Limat, Laurent
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9 September 2009
Peters, Ivo
222d846e-e620-4017-84cb-099b14ff2d75
Snoeijer, Jacco H.
8fdb9a6c-c085-479e-aa19-1c29b2ccdfaf
Daerr, Adrian
1e4b79ad-e212-4472-8819-684c8d39c71b
Limat, Laurent
34f6e52e-1a85-45de-88de-8cebaa4f730e
Peters, Ivo, Snoeijer, Jacco H., Daerr, Adrian and Limat, Laurent
(2009)
Coexistence of two singularities in dewetting flows: regularizing the corner tip.
Physical Review Letters, 103 (114501), .
(doi:10.1103/PhysRevLett.103.114501).
Abstract
Entrainment in wetting and dewetting flows often occurs through the formation of a corner with a very sharp tip. This corner singularity comes on top of the divergence of viscous stress near the contact line, which is only regularized at molecular scales. We investigate the fine structure of corners appearing at the rear of sliding drops. Experiments reveal a sudden decrease of tip radius, down to 20????m, before entrainment occurs. We propose a lubrication model for this phenomenon, which compares well to experiments. Despite the disparity of length scales, it turns out that the tip size is set by the classical viscous singularity, for which we deduce a nanometric length from our macroscopic measurements.
Text
Coexistence of Two Singularities in Dewetting Flows Regularizing the Corner Tip.pdf
- Accepted Manuscript
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Published date: 9 September 2009
Organisations:
Aerodynamics & Flight Mechanics Group
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Local EPrints ID: 399967
URI: http://eprints.soton.ac.uk/id/eprint/399967
PURE UUID: ba496610-7c1b-4847-893b-7c1ba7ec80f6
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Date deposited: 08 Sep 2016 15:59
Last modified: 15 Mar 2024 03:52
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Author:
Jacco H. Snoeijer
Author:
Adrian Daerr
Author:
Laurent Limat
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