Hydrodynamic interactions between a sphere and a number of small particles

Abstract

Exact expressions are derived for the pair and three-body hydrodynamic interactions between a sphere and a number of small particles immersed in a viscous incompressible fluid. The analysis is based on the Stokes equations of low Reynolds number hydrodynamics. The results follow by a combination of the solutions for flow about a sphere with no-slip boundary condition derived by Stokes and Kirchhoff, and the result derived by Oseen for the Green tensor of Stokes' equations in the presence of a fixed sphere.

arXiv comment10 pages

References in corpus (4)

• A Simplest Swimmer at Low Reynolds Number: Three Linked Spheres
• Analytic results for the three-sphere swimmer at low Reynolds number
• Three-Sphere Low Reynolds Number Swimmer with a Cargo Container
• Collinear swimmer propelling a cargo sphere at low Reynolds number

Cited by in corpus (5)

• Hydrodynamic interaction between particles near elastic interfaces
• Hydrodynamic mobility of a solid particle nearby a spherical elastic membrane. I. Axisymmetric motion
• Hydrodynamic mobility of a solid particle nearby a spherical elastic membrane. II. Asymmetric motion
• Swimming of a linear chain with a cargo in an incompressible viscous fluid with inertia
• The quasi-normal modes of relativistic Fokker-Planck kinetic theory