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We study a generalized Navier-Stokes model describing the thin-film flows innon-dilute suspensions of ATP-driven microtubules or swimming bacteria that areenclosed by a moving ring-shaped container. Considering Stokes' second problem,which concerns the motion of an oscillating boundary, our numerical analysispredicts that a periodically rotating ring will oscillate at a higher frequencyin an active fluid than in a passive fluid, due to an activity-inducedreduction of the fluid inertia. In the case of a freely suspendedfluid-container system that is isolated from external forces or torques, activefluid stresses can induce large fluctuations in the container's angularmomentum if the confinement radius matches certain multiples of the intrinsicvortex size of the active suspension. This effect could be utilized totransform collective microscopic swimmer activity into macroscopic motion inoptimally tuned geometries.

Stokes' second problem and reduction of inertia in active fluids