(455e) A Squirmer Across Reynolds Numbers
AIChE Annual Meeting
Wednesday, November 11, 2015 - 9:30am to 9:45am
The self-propulsion of a spherical squirmer – a model swimming organism that achieves locomotion via steady tangential movement of its surface – is quantified across small to large Reynolds numbers (Re) via numerical solution of the Navier-Stokes equations. A fixed swimming stroke is considered. We show that fluid inertia leads to profound differences in the locomotion of so-called pusher versus puller squirmers. The swimming speed of a pusher increases monotonically with increasing Re. In contrast, a puller first slows down with increasing Re and then speeds up. We show that the large Re flow around a pusher is essentially irrotational (akin to a spherical bubble), while a large vortical structure develops at the rear of a puller (akin to a no-slip sphere under an external force). Consequently, it is found that the steady axisymmetric locomotion of a pusher is stable to Re that far exceed that of a puller or even a no-slip sphere. Additionally, we quantify fluid mixing at finite Re by a dilute collection of squirmers via the mechanism of drift diffusion. Here, we show that pullers, while less efficient swimmers, achieve a greater degree of mixing than pushers.