title: Influence of slip on the Plateau-Rayleigh instability on a fibre.
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.
authors.affiliation: 1] Department of Experimental Physics, Saarland University, D-66041 Saarbrücken, Germany [2] Department of Physics and Astronomy, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4M1.
authors.forename: Sabrina
authors.initials: S
authors.lastname: Haefner
authors.affiliation: PCT Lab, UMR CNRS 7083 Gulliver, ESPCI ParisTech, PSL Research University, 75005 Paris, France.
authors.forename: Michael
authors.initials: M
authors.lastname: Benzaquen
authors.affiliation: 1] Department of Physics and Astronomy, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4M1 [2] Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany.
authors.forename: Oliver
authors.initials: O
authors.lastname: Bäumchen
authors.affiliation: PCT Lab, UMR CNRS 7083 Gulliver, ESPCI ParisTech, PSL Research University, 75005 Paris, France.
authors.forename: Thomas
authors.initials: T
authors.lastname: Salez
authors.affiliation: Department of Physics and Astronomy, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4M1.
authors.forename: Robert
authors.initials: R
authors.lastname: Peters
authors.affiliation: Department of Experimental Physics, Saarland University, D-66041 Saarbrücken, Germany.
authors.forename: Joshua D
authors.initials: JD
authors.lastname: McGraw
authors.affiliation: Department of Experimental Physics, Saarland University, D-66041 Saarbrücken, Germany.
authors.forename: Karin
authors.initials: K
authors.lastname: Jacobs
authors.affiliation: PCT Lab, UMR CNRS 7083 Gulliver, ESPCI ParisTech, PSL Research University, 75005 Paris, France.
authors.forename: Elie
authors.initials: E
authors.lastname: Raphaël
authors.affiliation: 1] Department of Physics and Astronomy, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4M1 [2] PCT Lab, UMR CNRS 7083 Gulliver, ESPCI ParisTech, PSL Research University, 75005 Paris, France.
authors.forename: Kari
authors.initials: K
authors.lastname: Dalnoki-Veress