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
Thermally driven film
Thermally driven film
Similar (later) computation Davies & 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 for the (k) 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 for the (k) 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 fingering instability longitudinal instability: ridge widening with double-shock structure
Dewetting instability Harald Hoppe, Marcus Heuberger, and Jacob Klein, Phys. Rev. Lett. 86, 4863 (2001)
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
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).
Sliding droplet T. Podgorski, J. -M. Flesselles, and L. Limat, Phys. Rev. Lett. 87, 036102 (2001)
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