title: Dynamic response of a thin sessile drop of conductive liquid to an abruptly applied or removed electric field.
abstract: We consider, both theoretically and experimentally, a thin sessile drop of conductive liquid that rests on the lower plate of a parallel-plate capacitor. We derive analytical expressions for both the initial deformation and the relaxation dynamics of the drop as the electric field is either abruptly applied or abruptly removed, as functions of the geometrical, electrical, and material parameters, and investigate the ranges of validity of these expressions by comparison with full numerical simulations. These expressions provide a reasonable description of the experimentally measured dynamic response of a drop of conductive ionic liquid 1-butyl-3-methyl imidazolium tetrafluoroborate.
authors.affiliation: Department of Mathematics & Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, United Kingdom.
authors.forename: L T
authors.initials: LT
authors.lastname: Corson
authors.affiliation: Department of Mathematics & Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, United Kingdom.
authors.forename: N J
authors.initials: NJ
authors.lastname: Mottram
authors.affiliation: Department of Mathematics & Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, United Kingdom.
authors.forename: B R
authors.initials: BR
authors.lastname: Duffy
authors.affiliation: Department of Mathematics & Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, United Kingdom.
authors.forename: S K
authors.initials: SK
authors.lastname: Wilson
authors.affiliation: School of Science & Technology, Nottingham Trent University, Clifton Lane, Nottingham NG11 8NS, United Kingdom.
authors.forename: C
authors.initials: C
authors.lastname: Tsakonas
authors.affiliation: School of Science & Technology, Nottingham Trent University, Clifton Lane, Nottingham NG11 8NS, United Kingdom.
authors.forename: C V
authors.initials: CV
authors.lastname: Brown