Rayleigh and depinning instabilities of forced liquid ridges on heterogeneous substrates

Details Rayleigh and depinning instabilities of forced liquid ridges on heterogeneous substrates Rayleigh and depinning instabilities of forced liquid ridges on heterogeneous substrates

2010-09-06

arxiv.org/abs/1009.0998v3

Physical Review E 83 (2011),016305

Nonlinear Sciences

Pattern Formation and Solitons

Physics synopsis link: http://physics.aps.org/synopsis-for/10.1103/PhysRevE.83.016305

Scientific paper

10.1103/PhysRevE.83.016305

Depinning of two-dimensional liquid ridges and three-dimensional drops on an inclined substrate is studied within the lubrication approximation. The structures are pinned to wetting heterogeneities arising from variations of the strength of the short-range polar contribution to the disjoining pressure. The case of a periodic array of hydrophobic stripes transverse to the slope is studied in detail using a combination of direct numerical simulation and branch-following techniques. Under appropriate conditions the ridges may either depin and slide downslope as the slope is increased, or first breakup into drops via a transverse instability, prior to depinning. The different transition scenarios are examined together with the stability properties of the different possible states of the system.

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