Force multipole moments for a spherically symmetric particle in solution |
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Authors: | R. Schmitz |
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Affiliation: | Institut für Theoretische Physik A, RWTH Aachen, Sommerfeldstraße, 5100 Aachen, FR Germany |
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Abstract: | We present a general theorem for the force multipole moments of arbitrary order induced in a spherically symmetric particle immersed in a fluid whose motion satisfies the linear Navier-Stokes equation for steady incompressible viscous flow. The multipole moments are expressed in terms of the unperturbed fluid velocity field. It is shown that for a particle with a finite extension only a few terms give rise to fluid perturbations which are not confined to the interior of the particle. We give explicit results for a polymer satisfying the Debye-Bueche-Brinkman equations and for a hard sphere with mixed slip-stick boundary conditions. |
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