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

Author

Listed:
  • Sabrina Haefner

    (Saarland University
    McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4M1)

  • 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
    Max Planck Institute for Dynamics and Self-Organization (MPIDS))

  • 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
    PCT Lab, UMR CNRS 7083 Gulliver, ESPCI ParisTech, PSL Research University)

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.

Suggested Citation

  • Sabrina Haefner & Michael Benzaquen & Oliver Bäumchen & Thomas Salez & Robert Peters & Joshua D. McGraw & Karin Jacobs & Elie Raphaël & Kari Dalnoki-Veress, 2015. "Influence of slip on the Plateau–Rayleigh instability on a fibre," Nature Communications, Nature, vol. 6(1), pages 1-6, November.
    • Handle: RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms8409
    DOI: 10.1038/ncomms8409
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