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Active particle motion in Poiseuille flow through rectangular channels.

Rahil N Valani1,2, Brendan Harding3, Yvonne M Stokes1

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Summary
This summary is machine-generated.

We studied active particle motion in fluid flow channels. We found diverse trajectories, including chaotic motion, influenced by flow speed and particle properties, with implications for microswimmers.

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Area of Science:

  • Physics
  • Fluid Dynamics
  • Statistical Mechanics

Background:

  • Active particles in fluid flow are crucial for understanding microswimmer dynamics.
  • Microfluidic channels often have rectangular cross-sections, influencing particle behavior.

Purpose of the Study:

  • To investigate the dynamics of a pointlike active particle in a unidirectional fluid flow channel.
  • To analyze particle trajectories and classify motion types under varying conditions.

Main Methods:

  • Derivation of a conserved quantity for general unidirectional flow.
  • Application to Poiseuille flow in rectangular channels, forming a 4D nonlinear conservative dynamical system.
  • Quantification of motion types and chaos using largest Lyapunov exponents and Poincaré maps.

Main Results:

  • Observed diverse active particle trajectories: swinging, trapping, tumbling, and wandering.
  • Identified regular (periodic, quasiperiodic) and chaotic motion.
  • Characterized "sticky" chaotic tumbling with long transients near periodic states.
  • Extended analysis to rectangular channels with varying width-to-height ratios.

Conclusions:

  • The study provides a framework for understanding active particle dynamics in microfluidic systems.
  • Results offer insights into the behavior of natural and artificial microswimmers in realistic channel geometries.
  • The findings are relevant for designing and controlling microfluidic devices and studying biological systems.