Geometry of self-propulsion at low Reynolds number
- 1 January 1989
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 198 (-1) , 557-585
- https://doi.org/10.1017/s002211208900025x
Abstract
The problem of swimming at low Reynolds number is formulated in terms of a gauge field on the space of shapes. Effective methods for computing this field, by solving a linear boundary-value problem, are described. We employ conformal-mapping techniques to calculate swimming motions for cylinders with a variety of crosssections. We also determine the net translationl motion due to arbitrary infinitesimal deformations of a sphere.This publication has 14 references indexed in Scilit:
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