Axisymmetric spheroidal squirmers and self-diffusiophoretic particles

Abstract

We study, by means of an exact analytical solution, the motion of a spheroidal, axisymmetric squirmer in an unbounded fluid, as well as the low Reynolds number hydrodynamic flow associated to it. In contrast to the case of a spherical squirmer --- for which, e.g., the velocity of the squirmer and the magnitude of the stresslet associated with the flow induced by the squirmer are respectively determined by the amplitudes of the first two slip ("squirming") modes --- for the spheroidal squirmer each squirming mode either contributes to the velocity, or contributes to the stresslet. The results are straightforwardly extended to the self-phoresis of axisymmetric, spheroidal, chemically active particles in the case when the phoretic slip approximation holds.

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Cited by in corpus (8)

• The Bank Of Swimming Organisms at the Micron Scale (BOSO-Micro)
• Interactions in Active Colloids
• Minimum Dissipation Theorem for Microswimmers
• Wall curvature driven dynamics of a microswimmer
• Exact axisymmetric interaction of phoretically active Janus particles
• Active spheroids in viscosity gradients
• Enhanced velocity fluctuations in interacting swimmer suspensions
• Swimming efficiency in viscosity gradients