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Abstract
We consider, both theoretically and experimentally, the deformation due to an electric field of a pinned nearlyhemispherical static sessile drop of an ionic fluid with a high conductivity resting on the lower substrate of a parallelplate 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 zerofield 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 zerofield 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.
Original language  English 

Article number  122106 
Number of pages  20 
Journal  Physics of Fluids 
Volume  26 
Issue number  12 
DOIs  
Publication status  Published  19 Dec 2014 
Keywords
 conducting drop
 electrical field
 Young–Laplace equations
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Projects
 1 Finished

Anisotropic liquid dielectrophoresis and interfacial forces
Wilson, S., Brown, C., Tsakonas, C., Duffy, B., Mottram, N. & Corson, L.
EPSRC (Engineering and Physical Sciences Research Council)
1/03/12 → 28/02/15
Project: Research