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M is valid only in the neighborhood of the particle. However, the validity of the above mathematical argument becomes clear by considering an analytic continuation of the electric potential
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The fictitious flow field ∇Φ is not to be confused with the force-free slip-driven flow, which may be irrotational under certain conditions (Ref. 16). Also note that the flow associated with the forced particle motion is rotational
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The fictitious flow field ∇Φ is not to be confused with the force-free slip-driven flow, which may be irrotational under certain conditions (Ref. 16). Also note that the flow associated with the forced particle motion is rotational.
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