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Thin liquid film morphology driven by electro-static field

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

Online published: 2011-08-20

Abstract

The development of stationary patterns on a thin polymer surface subject to an electric field is studied by means of the hexagonal-planform weakly nonlinear stability analysis and numerical simulations. The time evolution of the interface between the air and the polymer film on the unbounded spatial domain is described by a thin film equation, incorporating the electric driving force and the surface diffusion. The nonlinear interfacial growth includes the amplitude equations and superposition 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.

Cite this article

E. M. TIAN;T. P. SVOBODNY;J. D. PHILLIPS . Thin liquid film morphology driven by electro-static field[J]. Applied Mathematics and Mechanics, 2011 , 32(8) : 1039 -1046 . DOI: 10.1007/s10483-011-1479-9

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