A Low-Reynolds-Number Treadmilling Swimmer Near a Semi-infinite Wall
We investigate the behavior of a treadmilling microswimmer in a two-dimensional unbounded domain with a semi-infinite no-slip wall. The wall can also be regarded as a probe or pipette inserted into the flow. We solve the governing evolution equations in an analytical form and numerically calculate trajectories of the swimmer for several different initial positions and orientations. We then compute the probability that the treadmilling organism can escape the vicinity of the wall. We find that many trajectories in a ‘wedge’ around the wall are likely to escape. This suggests that inserting a probe or pipette in a suspension of organism may push away treadmilling swimmers.
KeywordsHydrodynamic Interaction Escape Probability Symmetric Periodic Orbit Conformal Mapping Technique Tangential Velocity Profile
The authors are grateful for the hospitality of the Geophysical Fluid Dynamics Program at the Woods Hole Oceanographic Institution (supported by NSF), and thank Matthew D. Finn for his helpful advice and suggestions. Some of the numerical calculations for this project were performed at the Institute for Information Management and Communication of Kyoto University.
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