Thin film rupture for large slip
- Peschka, Dirk
- Münch, Andreas
- Niethammer, Barbara
2010 Mathematics Subject Classification
- 76A20 35B40 76D08 60G18
- Asymptotic behavior of solutions, Thin fluid films, Lubrication theory, Self-similar processes
This paper studies the rupture of thin liquid films on hydrophobic substrates, assuming large slip at the liquidsolid interface. Using a recently developed em 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. For this regime we also prove finite-time rupture.
- J. Engrg. Math., 66 (2010) pp. 33--51.