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Slender-body approximations for electro-phoresis and electro-rotation of polarizable particles. (English) Zbl 1151.76640
Summary: Slender-body asymptotic theory is used to evaluate the translational and rotational electrophoretic velocities of initially uncharged polarizable bodies of revolution. These velocities are obtained as asymptotic expansions in the small particle slenderness. Conducting particles which lack fore-aft symmetry translate parallel to the applied field direction, regardless of their orientation relative to it. Both conducting and dielectric particles tend to align with the field. The translational and rotational velocities of dielectric particles are asymptotically smaller than those of comparable conducting particles.
MSC:
76W05Magnetohydrodynamics and electrohydrodynamics
76M45Asymptotic methods, singular perturbations (fluid mechanics)