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