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

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Corson, L.T., Tsakonas, C. ORCID: 0000-0002-7342-3405, Duffy, B.R., Mottram, N.J., Sage, I.C., Brown, C.V. ORCID: 0000-0002-1559-3238 and Wilson, S.K., 2014. Deformation of a nearly hemispherical conducting drop due to an electric field: theory and experiment. Physics of Fluids, 26 (12). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1063/1.4903223

Abstract

We consider, both theoretically and experimentally, the deformation due to an electric field of a pinned nearly-hemispherical static sessile drop of an ionic fluid with a high conductivity resting on the lower substrate of a parallel plate capacitor. Using both numerical and asymptotic approaches we find solutions to the coupled electrostatic and augmented Young–Laplace equations which agree very well with the experimental results. Our asymptotic solution for the drop interface extends previous work in two ways, namely to drops that have zero-field contact angles that are not exactly π/2 and to higher order in the applied electric field, and provides useful predictive equations for the changes in the height, contact angle and pressure as functions of the zero-field contact angle, drop radius, surface tension and applied electric field. The asymptotic solution requires some numerical computations, and so a surprisingly accurate approximate analytical asymptotic solution is also obtained.

Item Type:

Journal article

Alternative Title:

Deformation of a nearly hemispherical conducting drop by an electric field: theory and experiment [working title]

Publication Title:

Physics of Fluids

Creators:

Corson, L.T., Tsakonas, C., Duffy, B.R., Mottram, N.J., Sage, I.C., Brown, C.V. and Wilson, S.K.

Publisher:

AIP

Date:

2014