Fiber Buckling in Confined Viscous Flows: An Absolute Instability Described by the Linear Ginzburg-Landau Equation

Jean Cappello, Olivia du Roure, François Gallaire, Camille Duprat, and Anke Lindner
Phys. Rev. Lett. 129, 074504 – Published 12 August 2022
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Abstract

We explore the dynamics of a flexible fiber transported by a viscous flow in a Hele-Shaw cell of height comparable to the fiber height. We show that long fibers aligned with the flow experience a buckling instability. Competition between viscous and elastic forces leads to the deformation of the fiber into a wavy shape convolved by a Bell-shaped envelope. We characterize the wavelength and phase velocity of the deformation as well as the growth and spreading of the envelope. Our study of the spatiotemporal evolution of the deformation reveals a linear and absolute instability arising from a local mechanism well described by the Ginzburg-Landau equation.

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  • Received 23 September 2021
  • Revised 6 April 2022
  • Accepted 19 July 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.074504

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsPolymers & Soft MatterNonlinear Dynamics

Authors & Affiliations

Jean Cappello1, Olivia du Roure1, François Gallaire2, Camille Duprat3, and Anke Lindner1

  • 1PMMH, ESPCI Paris, Sorbonne University, University Paris Cité, 75005 Paris, France
  • 2LMFI, EPFL, 1015 Lausanne, Switzerland
  • 3LadHyX, Department of Mechanics, CNRS, École Polytechnique, 91128 Palaiseau, France

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Issue

Vol. 129, Iss. 7 — 12 August 2022

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