Nonlinear thin film rupture has been analyzed by investigating the stability of films under the influence of a nonuniform electrostatic field to finite amplitude disturbances. The dynamics of the liquid film is formulated using the Navier-Stokes equations including a body force term due to van der Waals attractions. The effect of the electric field is included in the analysis only in the boundary condition at the liquid vapor interface. The governing equation was solved by finite difference method as part of an initial value problem for spatial periodic boundary conditions. The electric field stabilizes the film and increases the time to rupture when a long wavelength perturbation is introduced.

1.
Bankoff
S. G.
,
Miksis
M. J.
,
Kim
H.
, and
Gwinner
R.
,
1994
, “
Design Considerations for the Rotating Electrostatic Liquid Film Radiator
,”
Nuclear Engineering and Design
, Vol.
149
, pp.
441
447
.
2.
Benjamin
T. B.
,
1957
, “
Wave Formation of Laminar Flow Down an Inclined Plane
,”
Journal of Fluid Mechanics
, Vol.
20
, pp.
505
515
.
3.
Coward
A. V.
, and
Renardy
Y. Y.
,
1995
, “
Small Amplitude Oscillatory Forcing on a Two-Layer Plane Channel Flow
,”
Bulletin of American Physical Society
, Vol.
40
, pp.
1950
1956
.
4.
Kim
H.
,
Bankoff
S. G.
, and
Miksis
M. J.
,
1992
, “
The Effect of an Electrostatic Field on Film Flow Down an Inclined Plane
,”
Physics of Fluids
, Vol.
4
, pp.
2117
2130
.
5.
Landau, L. D., and Lifshitz, E. M., 1960, Electrodynamics of Continuous Media, Pergamon Press, New York, New York.
6.
Or
A. C.
, and
Kelly
R. E.
,
1996
, “
Marangoni Convections of a Thin Deformable Layer of Liquid Subjected to Finite-Amplitude Nonplanar Oscillations
,”
Bulletin of American Physical Society
, Vol.
40
, pp.
1949
1954
.
7.
Ruckenstein
E.
, and
Jain
R. K.
,
1974
, “
Spontaneous Rupture of Thin Liquid Films
,”
Chemical Society, Faraday Transactions
, Vol.
270
, pp.
132
146
.
8.
William
M. B.
, and
Davis
S. H.
,
1982
, “
Nonlinear Theory of Film Rupture
,”
Journal of Colloid Interface Science
, Vol.
90
, pp.
220
228
.
9.
Woods
D. R.
, and
Lin
S. P.
,
1995
, “
Instability of a Liquid Film Flow Over a Vibrating Inclined Plane
,”
Journal of Fluid Mechanics
, Vol.
58
, pp.
391
400
.
10.
Yih
C. S.
,
1963
, “
Stability of Liquid Flow Down an Inclined Plane
,”
Physics of Fluids
, Vol.
6
, pp.
321
326
.
11.
Yih
C. S.
,
1968
, “
Instability of Unsteady Flows or Configurations, Part I: Instability of a Horizontal Liquid Layer on an Oscillating Plane
,”
Journal of Fluid Mechanics
, Vol.
31
, pp.
737
742
.
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