Squirmer

A squirmer is an idealized spherical microswimmer propelled by a prescribed tangential surface slip velocity. The Lorentz reciprocal theorem for Stokes flow determines its rigid translation and rotation without solving its complete exterior flow.

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- Surface slip velocity Squirmer

Surface slip velocity

The surface slip velocity is the fluid velocity relative to the rigid motion of an active particle at its boundary. For a spherical force-free, torque-free swimmer of radius

a

with slip

u_{s}

,

V = - \frac{1}{4 π a ^{2}} \int_{r = a} u_{s} d S, ω = - \frac{3}{8 π a ^{4}} \int_{r = a} x \times u_{s} d S .

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