The objective of this paper is to study the dependence of the electrostatic force that act on a particle within the interface between two immiscible fluids on the parameters such as the dielectric properties of the fluids and particles, the particle’s position within the interface, and the electric field strength. It is shown that the component of electrostatic force normal to the interface varies as a2, where a is the particle radius, and since in equilibrium it is balanced by the vertical capillary force, the interfacial deformation caused by the particle changes when an external electric field is applied. In addition, there are lateral electrostatic forces among the particles due to the dipole-dipole interactions which, when the distance between two particles is O(a), vary as a2, and remain significant for submicron sized particles.
Electrostatic Forces on Particles Floating Within the Interface Between Two Immiscible Fluids
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Aubry, N, & Singh, P. "Electrostatic Forces on Particles Floating Within the Interface Between Two Immiscible Fluids." Proceedings of the ASME 2007 International Mechanical Engineering Congress and Exposition. Volume 8: Heat Transfer, Fluid Flows, and Thermal Systems, Parts A and B. Seattle, Washington, USA. November 11–15, 2007. pp. 1969-1976. ASME. https://doi.org/10.1115/IMECE2007-44095
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