Hydrodynamic theory of coating

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Presentation transcript:

Hydrodynamic theory of coating Jens Eggers Hydrodynamic theory of coating …with Bruno Andreotti, Marc Fermigier, Jacco Snoeijer, Johanna Ziegler

Dynamical wetting transition continuous transition discontinuous transition Deraguin+Levi 1964 de Gennes 1986 apparent contact angle at the transition?

U Small scale physics stationary Huh and Scriven’s paradox: moving contact line stationary U h

Lubrication equations y nm h(x) g liquid bath note additional parameter x gravity viscous s.t.

Matching: Pull! matching impossible! U>Uc liquid bath g no overlap! compare curvature : microscopic length l U>Uc liquid bath g no overlap! match! U<Uc liquid bath g matching impossible! outer meniscus

Critical speed matching condition “Cox-Voinov” curvature

Wetting transition Delon et al., JFM 2007 Derjaguin+Levi 1964: at transition Derjaguin+Levi 1964: transient experiment:

Beyond the transition h x after before h apparent contact line x sim theory contact line

Another transition plate angle Ziegler et al., EPJ `09

Wetting transition new film solution! Delon et al., JFM 2007

The Landau Levich Derjaguin film II LL-equation I: bath

The dimple! II III balance includes gravity! I: bath

A range of new solutions

Phase diagram new thick film solutions! Experiment: complete wetting partial wetting

The film profile the dimple! new thick film theory LLD film theory bath Snoeijer et al., PRL `08

The big picture 1/2 Derjaguin 1/2 2/3 so far! 1

A fun movie made in Bristol Bristol Evening Post …work with Philippe Brunet, Robert Deegan