English

Collinear swimmer propelling a cargo sphere at low Reynolds number

Fluid Dynamics 2015-06-22 v3

Abstract

The swimming velocity and rate of dissipation of a linear chain consisting of two or three little spheres and a big sphere is studied on the basis of low Reynolds number hydrodynamics. The big sphere is treated as a passive cargo, driven by the tail of little spheres via hydrodynamic and direct elastic interaction. The fundamental solution of Stokes' equations in the presence of a sphere with no-slip boundary condition, as derived by Oseen, is used to model the hydrodynamic interactions between the big sphere and the little spheres.

Keywords

Cite

@article{arxiv.1408.3530,
  title  = {Collinear swimmer propelling a cargo sphere at low Reynolds number},
  author = {B. U. Felderhof},
  journal= {arXiv preprint arXiv:1408.3530},
  year   = {2015}
}

Comments

15 pages, 9 figures