Slip-enhanced Rayleigh-Plateau instability of a liquid film on a fibre

Chengxi Zhao, Yixin Zhang, Ting Si*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
22 Downloads (Pure)

Abstract

Boundary conditions at a liquid-solid interface are crucial to dynamics of a liquid film coated on a fibre. Here, a theoretical framework based on axisymmetric Stokes equations is developed to explore the influence of liquid-solid slip on the Rayleigh-Plateau instability of a cylindrical film on a fibre. The new model not only shows that the slip-enhanced growth rate of perturbations is overestimated by the classical lubrication model, but also indicates a slip-dependent dominant wavelength, instead of a constant value obtained by the lubrication method, which leads to larger drops formed on a more slippery fibre. The theoretical findings are validated by direct numerical simulations of Navier-Stokes equations via a volume-of-fluid method. Additionally, the slip-dependent dominant wavelengths predicted by our model agree with the experimental results provided by Haefner et al. (Nat. Commun., vol. 6, issue 1, 2015, 7409).

Original languageEnglish
Article numberA46
JournalJournal of fluid mechanics
Volume954
DOIs
Publication statusPublished - 9 Jan 2023

Keywords

  • capillary flows
  • lubrication theory
  • thin films
  • 2023 OA procedure

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