No net motion for oscillating near-spheres at low Reynolds numbers
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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.
1953 ◽
Vol 25
(5)
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pp. 932-938
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1993 ◽
Vol 59
(559)
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pp. 713-720
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2018 ◽
Vol 191
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pp. 19-30
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2010 ◽
Vol 1
(1-2)
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pp. 15-20
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2015 ◽
Vol 63
(5)
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pp. 217-224