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Article
Thin liquid film morphology driven by electro-static field
Applied Mathematics and Mechanics (English Edition)
  • E. M. Tian, Wright State University - Main Campus
  • Thomas P. Svobodny, Wright State University - Main Campus
  • J. D. Phillips, Wright State University - Main Campus
Document Type
Article
Publication Date
8-1-2011
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. © 2011 Shanghai University and Springer-Verlag Berlin Heidelberg.

DOI
10.1007/s10483-011-1479-9
Citation Information
E. M. Tian, Thomas P. Svobodny and J. D. Phillips. "Thin liquid film morphology driven by electro-static field" Applied Mathematics and Mechanics (English Edition) Vol. 32 (2011) p. 1039 - 1046 ISSN: 02534827
Available at: http://works.bepress.com/tom_svobodny/17/