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Stabilizing role of a curvature correction to line tension

SIAM Journal on Applied Mathematics, ISSN: 0036-1399, Vol: 69, Issue: 2, Page: 524-551
2008
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We study the effects that a curvature correction to the line tension has on the equilibrium and stability of liquid droplets laid upon a rigid substrate. In the simple case of cylindric liquid bridges we prove that even a tiny curvature correction prevents the onset of wildly oscillating perturbations that would make the contact line unstable if a negative line tension were present alone. However, if the curvature correction is not large enough, unstable modes that are not related to the classical Rayleigh instability can persist. © 2008 Society for Industrial and Applied Mathematics.

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