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

Published online by Cambridge University Press:  04 March 2019

K. Lippera ,
O. Dauchot ,
S. Michelin Open the ORCID record for S. Michelin [Opens in a new window]  and
M. Benzaquen Open the ORCID record for M. Benzaquen [Opens in a new window]
K. Lippera
Affiliation:
LadHyX, UMR CNRS 7646, Ecole polytechnique, 91128 Palaiseau, France
O. Dauchot
Affiliation:
EC2M, UMR CNRS 7083 Gulliver, ESPCI ParisTech, 10 rue Vauquelin, 75005 Paris, France
S. Michelin
Affiliation:
LadHyX, UMR CNRS 7646, Ecole polytechnique, 91128 Palaiseau, France
M. Benzaquen*
Affiliation:
LadHyX, UMR CNRS 7646, Ecole polytechnique, 91128 Palaiseau, France
*
†Email address for correspondence: michael.benzaquen@polytechnique.edu
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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.

JFM classification

Biological Fluid Dynamics: Propulsion
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 866 , 10 May 2019 , R1
Copyright
© 2019 Cambridge University Press 

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