Self-propulsion velocity of N-sphere micro-robot
Fluid Dynamics
2012-06-06 v1 Mesoscale and Nanoscale Physics
Biological Physics
Abstract
The aim of this paper is to derive an analytical expression for the self-propulsion velocity of a micro-swimmer that consists of N spheres moving along a fixed line. The spheres are linked to each other by the rods of the prescribed lengths changing periodically. For the derivation we use the asymptotic procedure containing the two-timing method and a distinguished limit. Our final formula shows that in the main approximation the self-propulsion velocity is determined by the interactions between all possible triplets of spheres.
Keywords
Cite
@article{arxiv.1206.0890,
title = {Self-propulsion velocity of N-sphere micro-robot},
author = {Vladimir A. Vladimirov},
journal= {arXiv preprint arXiv:1206.0890},
year = {2012}
}
Comments
10 pages