Abstract
We consider a solid plate being withdrawn from a bath of liquid which it does not wet. At low speeds, the meniscus rises below a moving contact line, leaving the rest of the plate dry. At a critical speed of withdrawal, this solution bifurcates into another branch via a saddle-node bifurcation: two branches exist below the critical speed, the lower branch is stable, the upper branch is unstable. The upper branch eventually leads to a solution corresponding to film deposition. We add the local analysis of the upper branch of the bifurcation to a previous analysis of the lower branch. We thus provide a complete description of the dynamical wetting transition in terms of matched asymptotic expansions.
Original language | English |
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Article number | 072104 |
Pages (from-to) | 072104-1-072104-10 |
Number of pages | 10 |
Journal | Physics of fluids |
Volume | 24 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2012 |
Keywords
- METIS-288421
- IR-81798