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Transport of flexible fibers in confined microchannels

Jean Cappello, Mathias Bechert, Camille Duprat, Olivia du Roure, François Gallaire, and Anke Lindner
Phys. Rev. Fluids 4, 034202 – Published 5 March 2019

Abstract

When transported in confined geometries rigid fibers show interesting transport dynamics induced by friction with the top and bottom walls. Fiber flexibility causes an additional coupling between fiber deformation and transport and is expected to lead to more complex dynamics. A first crucial step for their understanding is the characterization of the deformed fiber shape. Here we characterize this shape for a fiber transported in a confined plug flow perpendicular to the flow direction using a combination of microfluidic experiments and numerical simulations. In the experiments, size, initial orientation, and mechanical properties of the fibers are controlled using microfabrication techniques and in situ characterization methods. The numerical simulations use modified Brinkman equations as well as full three-dimensional simulations. We show that the bending of a perpendicular fiber results from the force distribution acting on the elongated object and is proportional to the elasto-viscous number, which compares viscous to elastic forces. We quantitatively characterize the influence of the confinement on the fiber deformation. The precise understanding of the deformation of a flexible fiber in a confined geometry can also be used in future to understand the deformation and transport of more complex deformable particles in confined flows, such as vesicles or red blood cells.

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  • Received 13 July 2018

DOI:https://doi.org/10.1103/PhysRevFluids.4.034202

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Jean Cappello1,*, Mathias Bechert2,*, Camille Duprat3, Olivia du Roure1, François Gallaire2, and Anke Lindner1,†

  • 1Laboratoire de Physique et Mécanique des Milieux Hétérogènes, UMR 7636, CNRS, ESPCI Paris, PSL Research University, Université Paris Diderot, Sorbonne Université, Paris 75005, France
  • 2Laboratory of Fluid Mechanics and Instabilities, École Polytechnique Fédérale de Lausanne, Lausanne 1015, Switzerland
  • 3Laboratoire d'Hydrodynamique (LadHyX), École polytechnique, Department of Mechanics, Palaiseau, France

  • *These authors contributed equally.
  • Corresponding author: anke.lindner@espci.fr

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Vol. 4, Iss. 3 — March 2019

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