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Influence of slip on the Plateau–Rayleigh instability on a fibre

Sabrina Haefner, Michael Benzaquen, Oliver Bäumchen, Thomas Salez, Robert Peters, Joshua D. McGraw, Karin Jacobs, Elie Raphaël and Kari Dalnoki-Veress ()
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Sabrina Haefner: Saarland University
Michael Benzaquen: PCT Lab, UMR CNRS 7083 Gulliver, ESPCI ParisTech, PSL Research University
Oliver Bäumchen: McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4M1
Thomas Salez: PCT Lab, UMR CNRS 7083 Gulliver, ESPCI ParisTech, PSL Research University
Robert Peters: McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4M1
Joshua D. McGraw: Saarland University
Karin Jacobs: Saarland University
Elie Raphaël: PCT Lab, UMR CNRS 7083 Gulliver, ESPCI ParisTech, PSL Research University
Kari Dalnoki-Veress: McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4M1

Nature Communications, 2015, vol. 6, issue 1, 1-6

Abstract: Abstract The Plateau–Rayleigh instability of a liquid column underlies a variety of fascinating phenomena that can be observed in everyday life. In contrast to the case of a free liquid cylinder, describing the evolution of a liquid layer on a solid fibre requires consideration of the solid–liquid interface. Here we revisit the Plateau–Rayleigh instability of a liquid coating a fibre by varying the hydrodynamic boundary condition at the fibre–liquid interface, from no slip to slip. Although the wavelength is not sensitive to the solid–liquid interface, we find that the growth rate of the undulations strongly depends on the hydrodynamic boundary condition. The experiments are in excellent agreement with a new thin-film theory incorporating slip, thus providing an original, quantitative and robust tool to measure slip lengths.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms8409

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DOI: 10.1038/ncomms8409

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