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Hydrodynamic Theory of Coating

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A prototypical problem in the study of coating is that of a solid plunging into or being withdrawn from a liquid bath. If the fluid does not wet the solid, the solid remains dry unless it is withdrawn at sufficiently high speed so that fluid is entrained by viscous drag. We show that there exists a critical speed above which a three-phase contact line is no longer sustainable, and the solid is being coated with a liquid film. We explain the nature of this transition by matching the highly curved contact line region to the static profile far away from it. The thickness of the entrained film also depends on the wetting properties of the fluid. All our theoretical predictions are compared in detail to experiment.

This talk is part of the BPI Seminar Series series.

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