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Instabilities of driven films

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

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Instabilities of driven films

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  1. 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 Minerva Center for Nonlinear Physics of Complex Systems

  2. Thermally driven film

  3. Thermally driven film

  4. Similar (later) computation Davies & Troian, PRE 016308 (2003)

  5. 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

  6. Dispersion relations (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 (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

  7. Stability regions stable longitudinal instability: ridge widening with double-shock structure fingering instability

  8. Dewetting instability Harald Hoppe,Marcus Heuberger,and Jacob Klein, Phys. Rev. Lett. 86, 4863 (2001)

  9. Dewetting of a polymer film (Seemann et al, PRL 87 196101 (2001)

  10. Evaporating water film(Lipson & Leiserson)

  11. Evaporating polar films

  12. Evaporating polar films

  13. Time sequences for a propagating front

  14. Front instability at smaller evaporation rates stable unstable

  15. Publications • A.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).

  16. Sliding droplet T. Podgorski, J.-M. Flesselles, and L. Limat, Phys. Rev. Lett. 87, 036102 (2001)

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