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Instabilities of driven films. Len Pismen, Technion, Haifa, Israel COOPERATION: B. Rubinstein (now at UC Davis CA) A.Golovin ( now at NWU, Evanston IL ) A. Lyoushnin ( now in Perm, Russia ) Supported by Israel Science Foundation and - PowerPoint PPT Presentation
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Instabilities of driven filmsLen Pismen, Technion, Haifa, Israel
COOPERATION:B. Rubinstein (now at UC Davis CA)
A.Golovin (now at NWU, Evanston IL) A. Lyoushnin (now in Perm, Russia)
Supported by Israel Science Foundation and Minerva Center for Nonlinear Physics of Complex
Systems
Thermally driven film
Thermally driven film
Similar (later) computationDavies & Troian, PRE 016308 (2003)
Double shock structure
Double-shock structure of a widening capillary ridge of a thermally driven film for V=0.01, K=0.6. Successive curves correspond to equal time intervals t=200.
UCS -- undercompressive shock, LS -- Lax shock
Dispersion relations
(a) Dispersion curves (k) for the perturbations of thermally driven spreading films for G=0.001 and (1) V=0.0006, (2) V =0.001, (3) V =0.002, (4) V =0.004, (5) V =0.01, (6) V =0.02, (7) V =0.04
(b) Dispersion curves (k) for the perturbations of thermally driven spreading films for V =0.002 and (1) G=0.0, (2) G =0.001, (3) G =0.01, (4) G =0.1
Stability regions
stable
fingeringinstability
longitudinal instability:ridge widening withdouble-shock structure
Harald Hoppe,Marcus Heuberger,and Jacob Klein, Phys. Rev. Lett. 86, 4863 (2001)
Dewetting instability
Dewetting of a polymer film (Seemann et al, PRL 87 196101 (2001)
Evaporating water film(Lipson & Leiserson)
Evaporating polar films
Evaporating polar films
Time sequences for a propagating front
Front instability at smaller evaporation rates
stable unstable
PublicationsA.A.Golovin, B.Y.Rubinstein, and L.M.Pismen, Effect of van der Waals interactions on fingering instability of thermally driven thin wetting films, Langmuir, 17 3930 (2001).
A.V.Lyushnin, A.A.Golovin, and L.M.Pismen, Fingering instability of thin evaporating liquid films, Phys. Rev. E 65 021602 (2002).
T. Podgorski, J.-M. Flesselles, and L. Limat, Phys. Rev. Lett. 87, 036102 (2001)
Sliding droplet