Canonical orbits for rapidly deforming planar microswimmers in shear flow
Eamonn A. Gaffney, Mohit P. Dalwadi, Clément Moreau, Kenta Ishimoto, Benjamin J. Walker
Abstract
Classically, the rotation of ellipsoids in shear Stokes flow is captured by Jeffery's orbits. Here, we demonstrate that Jeffery's orbits also describe high-frequency shape-deforming swimmers moving in the plane of a shear flow. In doing so, we support the use of these simple models for capturing shape-changing swimmer dynamics in studies of active matter and highlight the ubiquity of ellipsoid-like dynamics in complex systems.
Topics & Concepts
EllipsoidShear flowPhysicsShear (geology)PlanarFlow (mathematics)Classical mechanicsSimple shearDynamics (music)Stokes flowRotation (mathematics)MechanicsGeometryGeologyMathematicsComputer scienceShear stressAcousticsAstronomyComputer graphics (images)PetrologyMicro and Nano RoboticsMicrofluidic and Bio-sensing TechnologiesLattice Boltzmann Simulation Studies