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AbstractThis work determines the electrophoretic motion of two colloidal particles embedded in a viscous and unbounded electrolyte. Contrary to other works in the field, the advocated method does not calculate the perturbation electric potential and the electrolyte Stokes flow in the whole fluid domain and its range of applications is not restricted to the case of uniformly charged particles embedded...
Abstract We present a systematic method to asymptotically expand, with respect to a small slenderness or thickness parameter, the solution of a wide class of boundary integral equations arising in Electrostatics and Fluid Mechanics. The adopted point of view permits us to bypass the tedious matching rules of the widely employed method of matched asymptotic expansions. If each step of the proposed...
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