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Stokes theory of thin-film rupture

D. Moreno-Boza*, A. Martínez-Calvo†, and A. Sevilla‡

  • Grupo de Mecánica de Fluidos, Departamento de Ingeniería Térmica y de Fluidos, Universidad Carlos III de Madrid. Avda. de la Universidad 30, 28911, Leganés, Madrid, Spain

  • *damoreno@pa.uc3m.es
  • †amcalvo@ing.uc3m.es
  • ‡alejandro.sevilla@uc3m.es
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Phys. Rev. Fluids 5, 014002 – Published 6 January, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.014002

Abstract

The structure of the flow induced by the van der Waals destabilization of a nonwetting liquid film placed on a solid substrate is studied by means of theory and numerical simulations of the Stokes equations. Our analysis reveals that lubrication theory, which yields hmin∝τ1/5, where hmin is the minimum film thickness and τ is the time until breakup, cannot be used to describe the local flow close to rupture. Instead, the slender lubrication solution is shown to experience a crossover to a universal self-similar solution of the Stokes equations that yields hmin∝τ1/3, with an opening angle of 37∘ off the solid.

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Phys. Rev. Fluids 5, 014002– Published 6 January, 2020
  • Received 11 June 2019
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