Three-Sphere Low Reynolds Number Swimmer with a Cargo Container

Details Three-Sphere Low Reynolds Number Swimmer with a Cargo Container Three-Sphere Low Reynolds Number Swimmer with a Cargo Container

2007-11-23

arxiv.org/abs/0711.3772v2

Euro. Phys. J. E 25, 1 (2008)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 1 figure

Scientific paper

10.1140/epje/i2007-10276-2

A recently introduced model for an autonomous swimmer at low Reynolds number that is comprised of three spheres connected by two arms is considered when one of the spheres has a large radius. The Stokes hydrodynamic flow associated with the swimming strokes and net motion of this system can be studied analytically using the Stokes Green's function of a point force in front of a sphere of arbitrary radius $R$ provided by Oseen. The swimming velocity is calculated, and shown to scale as $1/R^3$ with the radius of the sphere.

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