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Dynamics and Stability of Low Reynolds Number Swimming Near a Wall |
Abstract |
Locomotion of microorganisms and tiny arti … Locomotion of microorganisms and tiny artificial swimmers is governed by low- Reynolds-number hydrodynamics, where viscous effects dominate and inertial effects are negligible. While the theory of low-Reynolds-number locomotion is well studied for unbounded fluid domains, the presence of a boundary has a significant influence on the swimmer's trajectories, and poses problems of dynamic stability of its motion. In this paper we consider a simple theoretical model of a micro-swimmer near a wall, study its dynamics, and analyze the stability of its motion. We highlight the underlying geometric structure of the dynamics, and establish a relation between the reversing symmetry of the system and existence and stability of periodic and steady solutions of motion near the wall. The results are demonstrated by numerical simulations and validated by motion experiments with robotic swimmer prototypes. periments with robotic swimmer prototypes. +
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Authors | Yizhar Or, Sebastian Zhang, Richard M Murray + |
ID | 2010i + |
Source | SIAM Journal of Applied Dynamical Systems (SIADS), 10(3):1013â1041 + |
Tag | ozm10-siads + |
Title | Dynamics and Stability of Low Reynolds Number Swimming Near a Wall + |
Type | Preprint + |
Categories | Papers |
Modification date This property is a special property in this wiki.
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15 May 2016 06:16:16 + |
URL This property is a special property in this wiki.
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http://www.cds.caltech.edu/~murray/preprints/ozm10-siads_s.pdf + |
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Dynamics and Stability of Low Reynolds Number Swimming Near a Wall + | Title |
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