No net motion for oscillating near-spheres at low Reynolds numbers. (4th March 2019)

• Record Type: Journal Article
• Authors: Lippera, K.; Dauchot, O.; Michelin, S.; Benzaquen, M.
• Is Part Of: Journal of fluid mechanics. Volume 866(2019)
• Publication Date: 2019-03-04
• Subjects: flow–structure interactions, -- propulsion; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2019.130
• Languages: English
• ISSNs: 0022-1120

Abstract

Abstract : We investigate the flow around an oscillating nearly spherical particle at low, yet non-vanishing, Reynolds numbers ( $Re$ ), 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.