On the self-propulsion of an N-sphere micro-robot

Vladimir Vladimirov

doi:10.1017/jfm.2012.501

On the self-propulsion of an N-sphere micro-robot

Vladimir Vladimirov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The aim of this paper is to describe the self-propulsion of a micro-robot (or micro-swimmer) consisting of N spheres moving along a fixed line. The spheres are linked to each other by arms with their lengths changing periodically. We use the asymptotic procedure containing the two-timing method and a distinguished limit. We show that self-propulsion velocity appears (in the main approximation) as a linear combination of velocities of all possible triplets of spheres. Velocities and efficiencies of three-, four- and five-sphere swimmers are calculated.

Original language	English
Article number	R1
Pages (from-to)	R11-R111
Number of pages	11
Journal	Journal of Fluid Mechanics
Volume	716
Early online date	28 Jan 2013
DOIs	https://doi.org/10.1017/jfm.2012.501
Publication status	Published - Feb 2013

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10.1017/jfm.2012.501

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© 2013, Cambridge University Press. Reproduced in accordance with the publisher's self-archiving policy.
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Cite this

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abstract = "The aim of this paper is to describe the self-propulsion of a micro-robot (or micro-swimmer) consisting of N spheres moving along a fixed line. The spheres are linked to each other by arms with their lengths changing periodically. We use the asymptotic procedure containing the two-timing method and a distinguished limit. We show that self-propulsion velocity appears (in the main approximation) as a linear combination of velocities of all possible triplets of spheres. Velocities and efficiencies of three-, four- and five-sphere swimmers are calculated.",

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