Abstract
The dynamics of a viscous liquid film forming lenses or stable collars and the static stability of such collars are investigated in straight cylindrical capillaries for various approximations of the Young-Laplace equation. We find that the leading order approximation of the Young-Laplace equation in a thin-film expansion does not predict the known instability of wetting collars forming lenses. Hence, we propose a simple approximation that does. Numerical solution of the new extended evolution equation for a film in a tube of radius R T * gives a critical film thickness of 0.12 R T *, which demarks the transition between films that evolve into stable collars and those that break up to form lenses. New experimental measurements of the critical thickness agree well with the theoretical result, confirming the validity of the proposed evolution equation.
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