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The aspect ratio dependence of the electroconvection phenomenon in a suspended nematic liquid crystal film with a rectangular boundary is investigated. Two-dimensional global stability analysis is carried out on the coupled electrohydrodynamic system to calculate the instability boundary of the phenomenon for different aspect ratios. The calculated critical
number (Rayleigh-like number) shows a rapidly decreasing trend in the low-aspect-ratio region (roughly
is defined as the aspect ratio of the film), and then the variation becomes slow until
, where the critical
number starts to increase slightly. Convective patterns of liquid films with different aspect ratios are also obtained from stability analysis and validated by particle image velocimetry measurement.
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