Thin Liquid Film Morphology Driven by Electro-Static Field

Emily M. Tian; Thomas P. Svobodny; Jason D. Phillips

doi:10.3879/j.issn.1000-0887.2011.08.008

Volume 32 Issue 8

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Emily M. Tian, Thomas P. Svobodny, Jason D. Phillips. Thin Liquid Film Morphology Driven by Electro-Static Field[J]. Applied Mathematics and Mechanics, 2011, 32(8): 973-980. doi: 10.3879/j.issn.1000-0887.2011.08.008

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Thin Liquid Film Morphology Driven by Electro-Static Field

doi: 10.3879/j.issn.1000-0887.2011.08.008

Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA

Received Date: 2011-01-17
Rev Recd Date: 2011-05-24
Publish Date: 2011-08-15

Abstract

Abstract

The development of stationary patterns on a thin polymer surface subject to an electric field was studied by means of a hexagonal-planform weakly nonlinear stability analysis and numerical simulations.The time evolution of the interface between air and polymer film on the unbounded spatial domain was described by the thin film equation,incorporating the electric driving force and the surface diffusion.The nonlinear interfacial growth includes the amplitude equations and superpo sition of one-dimensional structures at regular orientations.The pattern selection is driven by the subcritical instability mechanism in which the relative thickness of the polymer film plays a critical role.
- thin film,
- pattern formation,
- electrohydrodynamic instability

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References(28)

References

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