Volume 84, Number 1, October 2008
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||18 September 2008|
Localized states in sheared electroconvection
Department of Physics, University of Toronto - 60 St. George St., Toronto, Ontario, Canada M5S 1A7
2 Defence Research & Development Canada - 9 Grove Street, Dartmouth, Nova Scotia, Canada B2Y 3Z7
Corresponding author: firstname.lastname@example.org
Accepted: 25 August 2008
Electroconvection in a thin, sheared fluid film displays a rich sequence of bifurcations between different flow states as the driving voltage is increased. We present a numerical study of an annular film in which a radial potential difference acts on induced surface charges to drive convection. The film is also sheared by independently rotating the inner edge of the annulus. This simulation models laboratory experiments on electroconvection in sheared smectic liquid crystal films. The applied shear competes with the electrical forces, resulting in oscillatory and strongly subcritical bifurcations between localized vortex states close to onset. At higher forcing, the flow becomes chaotic via a Ruelle-Takens-Newhouse scenario. The simulation allows flow visualization not available in the physical experiments, and sheds light on previously observed transitions in the current-voltage characteristics of electroconvecting smectic films.
PACS: 47.20.Ky – Nonlinearity, bifurcation, and symmetry breaking / 47.54.-r – Pattern selection; pattern formation / 47.27.ek – Direct numerical simulations
© EPLA, 2008
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