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

  • K. Lippera (a1), O. Dauchot (a2), S. Michelin (a1) and M. Benzaquen (a1)


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.


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