180 likes | 399 Views
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?.
E N D
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?
Small scale physics Huh and Scriven’s paradox: moving contact line stationary h U
Lubricationequations nm h(x) note additional parameter s.t. gravity viscous y g liquid bath x
curvature Matching:Pull! g U<Uc no overlap! l : microscopic length match! liquid bath g U>Uc 0 liquid bath outer meniscus compare matching impossible!
curvature Critical speed “Cox-Voinov” 0 matching condition
Wetting transition • Derjaguin+Levi 1964: at transition Delon et al., JFM 2007 transient experiment:
Beyond the transition h after apparent contact line x sim theory before h x 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 LL-equation II I: bath
The dimple! balance includes gravity! III II I: bath
Phase diagram new thick film solutions! partial wetting Experiment: complete wetting
The film profile new thick film LLD film theory theory the dimple! bath Snoeijer et al., PRL `08
The big picture 1/2 Derjaguin 1/2 2/3 1 so far!
A fun movie made in Bristol Bristol Evening Post …work with Philippe Brunet, Robert Deegan