WIAS Preprint No. 1183, (2006)

Intermediate-asymptotic structure of a dewetting rim with strong slip



Authors

  • Evans, Peter L.
  • King, John R.
  • Münch, Andreas

2010 Mathematics Subject Classification

  • 76D08 76A20 34E10

Keywords

  • Lubrication theory, evolution, slip models

Abstract

When a thin viscous liquid film dewets, it typically forms a rim which spreads outwards, leaving behind a growing dry region. We consider the dewetting behaviour of a film, when there is strong slip at a liquid-substrate interface. The film can be modelled by two coupled partial differential equations (PDEs) describing the film thickness and velocity. Using asymptotic methods, we describe the structure of the rim as it evolves in time, and the rate of dewetting, in the limit of large slip lengths. An inner region emerges, closest to the dewetted region, where surface tension is important; in an outer region, three subregions develop. This asymptotic description is compared with numerical solutions of the full system of PDEs.

Appeared in

  • Appl. Math. Res eXpress, (2006) pp. 25262/1--25262/25.

Download Documents