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The complex behavior of drop deposition on a hydrophobic surface isconsidered by looking at a model problem in which the evolution of aconstant-volume liquid bridge is studied as the bridge is stretched. The bridgeis pinned with a fixed diameter at the upper contact point, but the contactline at the lower attachment point is free to move on a smooth substrate.Experiments indicate that initially, as the bridge is stretched, the lowercontact line slowly retreats inwards. However at a critical radius, the bridgebecomes unstable, and the contact line accelerates dramatically, moving inwardsvery quickly. The bridge subsequently pinches off, and a small droplet is lefton the substrate. A quasi-static analysis, using the Young-Laplace equation, isused to accurately predict the shape of the bridge during the initial bridgeevolution, including the initial onset of the slow contact line retraction. Astability analysis is used to predict the onset of pinch-off, and aone-dimensional dynamical equation, coupled with a Tanner-law for the dynamiccontact angle, is used to model the rapid pinch-off behavior. Excellentagreement between numerical predictions and experiments is found throughout thebridge evolution, and the importance of the dynamic contact line model isdemonstrated.

The motion, stability and breakup of a stretching liquid bridge with a receding contact line