Abstract
Abstract
Highlights
When applied to fluid media and interfaces, electric fields give rise to a wide variety of phenomena relevant for both fundamental research and industrial applications
The leaky-dielectric model used in this analysis, subsequently formalized by Melcher & Taylor (1969), hypothesizes that the rate of accumulation of surface charge is balanced by Ohmic currents from the bulk and that surface charge is advected by the flow
Our model improves upon past theories that had neglected the effect of straining flows or been limited to axisymmetric deformations
Summary
When applied to fluid media and interfaces, electric fields give rise to a wide variety of phenomena relevant for both fundamental research and industrial applications. While models for rigid particles are well developed (Jones 1984; Das & Saintillan 2013), the case of deformable droplets is significantly more complex due to the nonlinear coupling between deformations, fluid flow and interfacial charge dynamics In his original analysis, Taylor (1966) performed a first-order small-deformation theory for an axisymmetric dielectric drop in an electric field, neglecting shape and charge transients as well as interfacial charge advection by the flow. Feng (2002) performed an analysis in which he included the effect of both rotational and straining flows on charge transport As his analysis was limited to two dimensions, the drop deformation and tilt angle in the Quincke regime were found not to depend on the viscosity ratio, similar to the Taylor regime, and the critical electric field for the onset of rotation was the same as that for a solid cylindrical particle.
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