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Dynamic drying transition via free-surface cusps

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)760-786
Number of pages27
JournalJournal of Fluid Mechanics
Early online date12 Nov 2018
DateAccepted/In press - 27 Sep 2018
DateE-pub ahead of print - 12 Nov 2018
DatePublished (current) - 10 Jan 2019


We study air entrainment by a solid plate plunging into a viscous liquid, theoretically and numerically. At dimensionless speeds Ca = Uη/γ of order unity, a near-cusp forms due to the presence of a moving contact line. The radius of curvature of the cusp’s tip scales with the slip length multiplied by an exponential of −Ca. The pressure from the air flow drawn inside the cusp leads to a bifurcation, at which air is entrained, i.e. there is ‘wetting failure’. We develop an analytical theory of the threshold to air entrainment, which predicts the critical capillary number to depend logarithmically on the viscosity ratio, with corrections coming from the slip in the gas phase.

    Research areas

  • contact lines, gas/liquid flow, interfacial flows (free surface)

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