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Force multipole moments for a spherically symmetric particle in solution

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  • Schmitz, R.

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.

Suggested Citation

  • Schmitz, R., 1980. "Force multipole moments for a spherically symmetric particle in solution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(1), pages 161-178.
    • Handle: RePEc:eee:phsmap:v:102:y:1980:i:1:p:161-178
    DOI: 10.1016/0378-4371(80)90067-9
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