Thin-film rupture for large slip

Journal article

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. © Springer Science+Business Media B.V. 2009.

Authors: Peschka, D; Muench, A; Niethammer, B

• Publication status: Published
• Journal: JOURNAL OF ENGINEERING MATHEMATICS
• Volume: 66
• Issue: 1-3
• Pages: 33-51
• Publication date: 2010-03-01
• DOI: 10.1007/s10665-009-9342-7
• EISSN: 1573-2703
• ISSN: 0022-0833
• Language: English
• Keywords: Asymptotic behavior of solutions; Jet break-up; Self-similarity; Lubrication theory; Self-similar solutions of second kind