Force multipole moments for a spherically symmetric particle in solution

R. Schmitz

Physica A: Statistical Mechanics and its Applications, 1980, vol. 102, issue 1, 161-178

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.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:102:y:1980:i:1:p:161-178

DOI: 10.1016/0378-4371(80)90067-9

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