Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session F18: Fluids IV
8:00 AM–11:00 AM,
Tuesday, March 7, 2023
Room: Room 210
Sponsoring
Unit:
DFD
Chair: mohammed alhashim, Harvard University
Abstract: F18.00015 : Swimming the chaotic seas: invariant manifolds, tori, and the transport of swimmers in vortex flows*
10:48 AM–11:00 AM
Presenter:
Kevin A Mitchell
(UC Merced)
Authors:
Kevin A Mitchell
(UC Merced)
Nghia Le
(Bucknell University)
Tom H Solomon
(Bucknell University)
flow consisting of alternating fluid vortices. These swimmers could be
biological (e.g. bacteria or algae) or artificial (e.g. Janus
particles). Using dynamical systems techniques, we show that transport
from one vortex down the channel to another vortex is mediated by both
invariant tori and so-called Swimming Invariant Manifolds (SwIMs); SwIMs have
previously been emphasized as one-way barriers to swimmer transport,
but they also form chutes which guide swimmer passage between
vortices. The SwIM geometry thus plays a critical role in determining
transport rates of swimmers between vortices. The invariant tori, on
the other hand, lead both to trapping within vortex cells and
ballistic transport between vortex cells. Our theoretical framework
is applied to experiments on algae in microfluidic channels.
*Work supported by NSF CMMI-1825379
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