Hydrodynamic interactions between a sphere and a number of small particles
Fluid Dynamics
2015-06-22 v1 Soft Condensed Matter
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.
Cite
@article{arxiv.1408.1844,
title = {Hydrodynamic interactions between a sphere and a number of small particles},
author = {Maria L. Ekiel-Jezewska and B. U. Felderhof},
journal= {arXiv preprint arXiv:1408.1844},
year = {2015}
}
Comments
10 pages