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Thin-film rupture for large slip

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Abstract

The rupture of thin liquid films on hydrophobic substrates, assuming large slip at the liquid-solid interface, is studied using a recently developed strong slip lubrication model, it is shown that the rupture passes through up to three self-similar regimes with different dominant balances and different scaling exponents. For one of these regimes the similarity is of second kind, and the similarity exponent is determined by solving a boundary-value problem for a nonlinear ODE. Furthermore, finite-time rupture is proved for this regime.

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Authors and Affiliations

  1. Weierstraß Institute for Applied Analysis and Stochastics (WIAS), Mohrenstraße 39, 10117, Berlin, Germany

    D. Peschka

  2. Mathematical Institute, University of Oxford, 24-29 St. Giles’, Oxford, OX1 3LB, UK

    A. Münch & B. Niethammer

Authors
  1. D. Peschka
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  2. A. Münch
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  3. B. Niethammer
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Correspondence to A. Münch.

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Peschka, D., Münch, A. & Niethammer, B. Thin-film rupture for large slip. J Eng Math 66, 33–51 (2010). https://doi.org/10.1007/s10665-009-9342-7

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  • DOI: https://doi.org/10.1007/s10665-009-9342-7

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