Electric field induced deformation of hemispherical sessile droplets of ionic liquid

Abstract

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Dynamic response of a thin sessile drop of conductive liquid to an abruptly applied or removed electric field

“…remains constant for all time. The type of model described by the differential equations (1,5,6,12), with boundary conditions (2,3,4,9,11,13) and volume constraint (14), is a relatively standard one for electric-field-induced drop deformation and flow. For example, a similar model was used by Craster and Matar [19], although they neglected gravity (because their typical film thicknesses are much smaller than we consider in the present work), treated infinite layers rather than a finite radius drop, and considered the case of a leaky dielectric layer, where ionic charge accumulates at the interface.…”

“…The deformation of films and drops of liquid due to an externally applied electric field is both a scientifically interesting and a practically important problem that has been studied both experimentally and theoretically for well over a century. Examples of this literature include the pioneering work by Swan [1], in which the surface of a resin film was destabilized by an electric field, the work on drops by Cheng and Miksis [2], Basaran and Scriven [3], Wohlhuter and Basaran [4], Berge and Peseux [5], Quilliet and Berge [6], Reznik et al [7], Mugele and Baret [8], Chen and Bonaccurso [9], Corson et al [10], Tsakonas et al [11], and the references therein, and Sec. III.C of the review article by Craster and Matar [12].…”

Dynamics of an Ellipse-Shaped Meniscus on a Substrate-Supported Drop under an Electric Field

“…Taylor and McEwan theoretically analyzed this problem, but instead of assuming an ellipsoidal shape and solving for the surrounding potential, they assumed that the interface was horizontal at its poles and guessed a potential that satisfied the upper boundary condition at the electrode [16]. Since then, Corson et al [17,18] theoretically analyzed a conducting drop in the limiting case where the distance between the substrate and the electrode was large, and obtained asymptotic results which predicted drop height for small surrounding electric fields. When a sessile drop on a substrate is placed under an electric potential difference between the substrate and an electrode above the drop, for sufficiently large potentials (where ellipsoidal shapes are no longer stable), the drop forms a conical shape known as the Taylor cone [11].…”

Deformation of a nearly hemispherical conducting drop due to an electric field: Theory and experiment

“…[24][25][26] As well as different fluids, these experiments also considered different substrate treatments (untreated, hydrophilic, and hydrophobic), and therefore the zero-field contact angles of the drops varied greatly (specifically from 15…”