Deformation and motion of a charged conducting drop in a dielectric liquid under a nonuniform electric field

As a tool for transporting a drop inside another fluid, a charged conducting drop driven by Coulombic force is considered. Specifically, deformation and motion of a charged conducting drop under nonuniform electric fields are studied using the perturbation method. For simplicity in analysis, the app...

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Bibliographic Details
Published in:Journal of colloid and interface science 2007-06, Vol.310 (2), p.599-606
Main Authors: Kim, J.G., Im, D.J., Jung, Y.M., Kang, I.S.
Format: Article
Language:English
Subjects:
Charged conducting drop
Chemistry
Coulombic force
Dielectric force
Drop deformation
Exact sciences and technology
General and physical chemistry
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Summary:As a tool for transporting a drop inside another fluid, a charged conducting drop driven by Coulombic force is considered. Specifically, deformation and motion of a charged conducting drop under nonuniform electric fields are studied using the perturbation method. For simplicity in analysis, the applied electric field is assumed to be expressed as the sum of a uniform field and a linear field and the flow is assumed to be in the Stokes flow range. The deformed drop shape due to electrical stress is computed to the first order of the electrical Weber number ( W). Then the electric force and the hydrodynamic drag are computed to derive the formula of the translation velocity, which is valid up to O ( W ) . Several important results have also been obtained for the effect of drop deformation on the electric and hydrodynamic forces exerted on the drop. Periodically oscillating motion of a conducting drop under electric field in a dielectric liquid between two electrodes.
ISSN:0021-9797
1095-7103
DOI:10.1016/j.jcis.2007.02.007