Selfpropulsion of Vshape microrobot
Abstract
In this paper we study the selfpropulsion of a symmetric Vshape microrobot (or Vrobot) which consists of three spheres connected by two arms with an angle between them; the arms' lengths and the angle are changing periodically. Using an asymptotic procedure containing twotiming method and a distinguished limit, we obtain analytic expressions for the selfpropulsion velocity and Lighthill's efficiency. The calculations show that a version of Vrobot, aligned perpendicularly to the direction of selfswimming, is both the fastest one and the most efficient one. We have also shown that such $V$robot is faster and more efficient than a linear threesphere microrobot. At the same time the maximal selfpropulsion velocity of Vrobots is significantly smaller than that of comparable microorganisms.
 Publication:

arXiv eprints
 Pub Date:
 September 2012
 arXiv:
 arXiv:1209.2835
 Bibcode:
 2012arXiv1209.2835V
 Keywords:

 Physics  Fluid Dynamics;
 Mathematical Physics;
 Physics  Biological Physics;
 76D07;
 76Z10;
 70E60
 EPrint:
 10 pages