Understanding the onset of oscillatory swimming in microchannels

  • Joost De Graaf*
  • , Arnold J.T.M. Mathijssen
  • , Marc Fabritius
  • , Henri Menke
  • , Christian Holm
  • , Tyler N. Shendruk
  • *Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Self-propelled colloids (swimmers) in confining geometries follow trajectories determined by hydrodynamic interactions with the bounding surfaces. However, typically these interactions are ignored or truncated to the lowest order. We demonstrate that higher-order hydrodynamic moments cause rod-like swimmers to follow oscillatory trajectories in quiescent fluid between two parallel plates, using a combination of lattice-Boltzmann simulations and far-field calculations. This behavior occurs even far from the confining walls and does not require lubrication results. We show that a swimmer's hydrodynamic quadrupole moment is crucial to the onset of the oscillatory trajectories. This insight allows us to develop a simple model for the dynamics near the channel center based on these higher hydrodynamic moments, and suggests opportunities for trajectory-based experimental characterization of swimmers' hydrodynamic properties.

Original languageEnglish
Pages (from-to)4704-4708
Number of pages5
JournalSoft Matter
Volume12
Issue number21
DOIs
Publication statusPublished - 2016

Bibliographical note

Funding Information:
AJTMM and TNS gratefully acknowledge funding from the ERC Advanced Grant (291234 MiCE) and EMBO (ALTF181-2013); JdG from an NWO Rubicon Grant (#680501210) and a Marie Sk?odowska-Curie Intra European Fellowship (G. A. No. 654916) within Horizon 2020. JdG and CH further thank the DFG for funding through the SPP 1726 "MicroswimmersFrom Single Particle Motion to Collective Behaviour". We would also like to thank A. Zttl, A. Doostmohammadi, and A. T. Brown for useful discussions.

Publisher Copyright:
© The Royal Society of Chemistry 2016.

Funding

AJTMM and TNS gratefully acknowledge funding from the ERC Advanced Grant (291234 MiCE) and EMBO (ALTF181-2013); JdG from an NWO Rubicon Grant (#680501210) and a Marie Sk?odowska-Curie Intra European Fellowship (G. A. No. 654916) within Horizon 2020. JdG and CH further thank the DFG for funding through the SPP 1726 "MicroswimmersFrom Single Particle Motion to Collective Behaviour". We would also like to thank A. Zttl, A. Doostmohammadi, and A. T. Brown for useful discussions.

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