Collinear swimmer propelling a cargo sphere at low Reynolds number
arXiv:1408.3530 · doi:10.1103/PhysRevE.90.053013
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.
arXiv comment15 pages, 9 figures
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- Swimming of a linear chain with a cargo in an incompressible viscous fluid with inertia