1206.0890 (Vladimir A. Vladimirov)

Self-propulsion velocity of N-sphere micro-robot    [PDF]

Vladimir A. Vladimirov

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.

View original: http://arxiv.org/abs/1206.0890