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Inertial torque on a squirmer
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A small spheroid settling in a quiescent fluid experiences an inertial torque that aligns it so that it settles with its broad side first. Here we show that an active particle experiences such a torque too, as it settles in a fluid at rest. For a spherical squirmer, the torque is T = -9/8  mf (vs(0)  x vg(0)), where vs(0)  is the swimming velocity, vg(0) the settling velocity in the Stokes approximation, and mf the equivalent fluid mass. This torque aligns the swimming direction against gravity: swimming up is stable, swimming down is unstable. This talk is based on Candelier, F., Qiu, J., Zhao, L., Voth, G., & Mehlig, B. (2022). Inertial torque on a squirmer. Journal of Fluid Mechanics, 953, R1.
Title: Inertial torque on a squirmer
Description:
A small spheroid settling in a quiescent fluid experiences an inertial torque that aligns it so that it settles with its broad side first.
Here we show that an active particle experiences such a torque too, as it settles in a fluid at rest.
For a spherical squirmer, the torque is T = -9/8  mf (vs(0)  x vg(0)), where vs(0)  is the swimming velocity, vg(0) the settling velocity in the Stokes approximation, and mf the equivalent fluid mass.
This torque aligns the swimming direction against gravity: swimming up is stable, swimming down is unstable.
This talk is based on Candelier, F.
, Qiu, J.
, Zhao, L.
, Voth, G.
, & Mehlig, B.
(2022).
Inertial torque on a squirmer.
Journal of Fluid Mechanics, 953, R1.
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