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arXiv · 1501.02194

Influence of Slip on the Plateau-Rayleigh Instability on a Fibre

Sabrina Haefner·Michael Benzaquen·Oliver Baümchen·Thomas Salez·Robert Peters·Joshua D. McGraw·Karin Jacobs·Elie Raphaël·Kari Dalnoki-Veress
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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. In this article, 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. While 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.

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Sabrina Haefner, Michael Benzaquen, Oliver Baümchen, Thomas Salez, Robert Peters, Joshua D. McGraw, Karin Jacobs, Elie Raphaël, Kari Dalnoki-Veress. 2015-05-24. Influence of Slip on the Plateau-Rayleigh Instability on a Fibre. https://doi.org/10.1038/ncomms8409

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