Motion of a rigid particle in Stokes flow: a new second-kind boundary-integral equation formulation

A new singular boundary-integral equation of the second kind is presented for the stresses on a rigid particle in motion in Stokes flow. The integral equation is particularly suitable for the mobility problem – when the forces and moments on the particle are given. A generalized Faxen law is also presented. The power of the method is demonstrated by easily reproducing known results as well as new ones, both analytically and numerically, in infinite medium as well as in confined regions.

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