Periodic and Chaotic Orbits of Plane-Confined Micro-rotors in Creeping Flows

Enkeleida Lushi*, Petia M. Vlahovska

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

We explore theoretically the complex dynamics and emergent behaviors of spinning spheres immersed in viscous fluid. The particles are coupled to each other via the fluid in which they are suspended: Each particle disturbs the surrounding fluid with a rotlet field and that fluid flow affects the motion of the other particles. We notice the emergence of intricate periodic or chaotic trajectories that depend on the rotors initial position and separation. The point-rotor motions confined to a plane bear similarities to the classic 2D point-vortex dynamics. Our analyses highlight the complexity of the interaction between just a few rotors and suggest richer behavior in denser populations. We discuss how the model gives insight into more complex systems and suggest possible extensions for future theoretical studies.

Original languageEnglish (US)
Pages (from-to)1111-1123
Number of pages13
JournalJournal of Nonlinear Science
Volume25
Issue number5
DOIs
StatePublished - Oct 4 2015

Keywords

  • Active suspension
  • Rotor
  • Spinning particle
  • Stokes flow
  • Vortex dynamics

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Applied Mathematics

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