English

No net motion for oscillating near-spheres at low Reynolds numbers

Fluid Dynamics 2019-10-22 v1 Soft Condensed Matter

Abstract

We investigate the flow around an oscillating nearly-spherical particle at low, yet non-vanishing, Reynolds numbers, and the potential resulting locomotion. We analytically demonstrate that no net motion can arise up to order one in Re and order one in the asphericity parameter, regardless of the particle's shape. Therefore, geometry-induced acoustic streaming propulsion, if any, must arise at higher order.

Keywords

Cite

@article{arxiv.1902.03556,
  title  = {No net motion for oscillating near-spheres at low Reynolds numbers},
  author = {Kevin Lippera and Olivier Dauchot and Sébastien Michelin and Michael Benzaquen},
  journal= {arXiv preprint arXiv:1902.03556},
  year   = {2019}
}

Comments

10 pages, no figures