title: 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.
authors.affiliation: Department of Mechanics and Physics of Fluids, Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawinskiegop 5B, 02-106 Warsaw, Poland.
authors.forename: Maria L
authors.initials: ML
authors.lastname: Ekiel-Jeżewska
authors.affiliation: Institut für Theorie der Statistischen Physik, RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany.
authors.forename: B U
authors.initials: BU
authors.lastname: Felderhof