Instabilities of driven films

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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
• Minerva Center for Nonlinear Physics of
  Complex Systems

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Thermally driven film
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Thermally driven film
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(No Transcript)
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Similar (later) computation Davies Troian, PRE
016308 (2003)
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Double shock structure

• Double-shock structure of a widening capillary
  ridge of a thermally driven film for V0.01,
  K0.6. Successive curves correspond to equal time
  intervals ?t200.
• UCS -- undercompressive shock, LS -- Lax shock

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Dispersion relations
(b) Dispersion curves ?(k) for the perturbations
of thermally driven spreading films for V 0.002
and (1) G0.0, (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 G0.001
and (1) V0.0006, (2) V 0.001, (3) V 0.002,
(4) V 0.004, (5) V 0.01, (6) V 0.02, (7) V
0.04
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Stability regions
stable
longitudinal instability ridge widening
with double-shock structure
fingering instability
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Dewetting instability
Harald Hoppe,Marcus Heuberger,and Jacob Klein,
Phys. Rev. Lett. 86, 4863 (2001)
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Dewetting of a polymer film (Seemann et al, PRL
87 196101 (2001)
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Evaporating water film(Lipson Leiserson)
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Evaporating polar films
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Evaporating polar films
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Time sequences for a propagating front
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Front instability at smaller evaporation rates
stable
unstable
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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).

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