Electroconvection in a Suspended Fluid Film: A Linear Stability Analysis
نویسندگان
چکیده
A suspended fluid film with two free surfaces convects when a sufficiently large voltage is applied across it. We present a linear stability analysis for this system. The forces driving convection are due to the interaction of the applied electric field with space charge which develops near the free surfaces. Our analysis is similar to that for the two-dimensional Bénard problem, but with important differences due to coupling between the charge distribution and the field. We find the neutral stability boundary of a dimensionless control parameter R as a function of the dimensionless wave number κ. R,
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تاریخ انتشار 2007