Dynamic drying transition via free-surface cusps

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Presentation transcript:

Dynamic drying transition via free-surface cusps Jens Eggers Dynamic drying transition via free-surface cusps Catherine Kamal James Sprittles Jacco Snoeijer

Two small Ca-Re problems silicone drop, advancing contact angle: stable Chen, `88 liquid bath U receding contact angle: transition liquid bath

Two fundamental points There cannot be a “universal” contact line law that works for any material The moving contact line represents a global, coupled problem: there is no strictly local description …but global effects are small for advancing contact lines at low speeds

Wetting transition Delon et al., JFM 2007 above transition at transition

Plunging plate experiment

Experiment and simulation broad agreement between experiment and finite element simulation using simple slip model Vandre, Kumar 2014

Failure of low-Ca expansion Ca small saddle-node bifurcation GL: no bifurcation for small M! Cox:

Mechanism for bifurcation (M<<1) air pressure builds up here first solve M=0 problem!

Benney+Timson solution Jacqmin, JFM 2002

A solution for arbitrary Ca free uniform flow Stokes: boundary conditions: !

An inner solution (M=0) In analogy with Jeong and Moffatt, JFM 1992 U Stokeslet R

Mechanism for bifurcation (M<<1) extra contribution to the velocity: steady shape: viewed from a distance… Stokes flow around a loaded crack!

Similarity theory FEM simulation theory with gas-liquid slip

Conclusions Solution differs qualitatively from prediction of low-Ca theory (formally) production of sub-sliplength length scales wetting behavior obliterated Eddi, Winkels, Snoeijer, PF 2013 “Short time dynamics of viscous drop spreading” Latka, Boelens, Nagel, de Pablo, PF 2018 “Drop splashing is independent of substrate wetting”