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Dynamics of rigid fibers interacting with triangular obstacles in microchannel flows

Zhibo Li1,*, Clément Bielinski2,*, Anke Lindner1,†, Olivia du Roure1,‡, and Blaise Delmotte2,§

  • 1Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), UMR7636 CNRS, ESPCI Paris, PSL Research University, Sorbonne Université, Université Paris Cité, 75005 Paris, France
  • 2Laboratoire d'Hydrodynamique (LadHyX), CNRS, École polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France

  • *These authors contributed equally to this work.
  • anke.lindner@espci.fr
  • olivia.duroure@espci.fr
  • §blaise.delmotte@cnrs.fr

Phys. Rev. Fluids 9, 044302 – Published 8 April, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.044302

Abstract

Fiber suspensions flowing in structured media are encountered in many biological and industrial systems. Interactions between fibers and the transporting flow as well as fiber contact with obstacles can lead to complex dynamics. In this work, we combine microfluidic experiments and numerical simulations to study the interactions of a rigid fiber with an individual equilateral triangular pillar in a microfluidic channel. Four dominant fiber dynamics are identified: transport above or below the obstacle, pole vaulting, and trapping, in excellent agreement between experiments and modeling. The dynamics are classified as a function of the length, angle, and lateral position of the fibers at the channel entry. We show that the orientation and lateral position close to the obstacle are responsible for the fiber dynamics and we link those to the initial conditions of the fibers at the channel entrance. Direct contact between the fibers and the pillar is required to obtain strong modification of the fiber trajectories, which is associated to irreversible dynamics. Longer fibers are found to be more laterally shifted by the pillar than shorter fibers that rather tend to remain on their initial streamline. Our findings could in the future be used to design and optimize microfluidic sorting devices to sort rigid fibers by length.

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