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

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.

arXiv comment10 pages, no figures

References in corpus (8)

• Active Particles in Complex and Crowded Environments
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Emergence of macroscopic directed motion in populations of motile colloids
• Self-propulsion of pure water droplets by spontaneous Marangoni stress driven motion
• Flexive and Propulsive Dynamics of Elastica at Low Reynolds Numbers
• Spontaneous autophoretic motion of isotropic particles
• Magnetic Propulsion of Self-Assembled Colloidal Carpets: Efficient Cargo Transport via a Conveyor-Belt Effect
• Asymmetric steady streaming as a mechanism for acoustic propulsion of rigid bodies

Cited by in corpus (4)

• Reciprocal swimming at intermediate Reynolds number
• Acoustic propulsion of a small bottom-heavy sphere
• Purely viscous acoustic propulsion of bimetallic rods
• Acoustic radiation force and torque on spheroidal particles in an ideal cylindrical chamber