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  • Letter
  • Open Access

Buckling instability in a chain of sticky bubbles

Carmen L. Lee1,* and Kari Dalnoki-Veress1,2,†

  • 1Department of Physics & Astronomy, McMaster University, Hamilton, Ontario L8S 4M1, Canada
  • 2Gulliver, CNRS UMR 7083, ESPCI Paris, Univ. PSL, 75005 Paris, France

  • *Present address: Physics Department, North Carolina State University, Raleigh, NC, USA.
  • †Contact author: dalnoki@mcmaster.ca
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Phys. Rev. Research 6, L022062 – Published 14 June, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L022062

Abstract

A slender object undergoing an axial compression will buckle to alleviate the stress. Typically the morphology of the deformed object depends on the bending stiffness for solids, or the viscoelastic properties for liquid threads. We study a chain of uniform sticky air bubbles that rise due to buoyancy through an aqueous bath. A buckling instability of the bubble chain with a characteristic wavelength is observed. If a chain of bubbles is produced faster than it is able to rise, the dominance of viscous drag over buoyancy results in a compressive stress that is alleviated by buckling the bubble chain. Using low Reynolds-number hydrodynamics, we predict the critical buckling speed, the terminal speed of a buckled chain, and the geometry of the buckles.

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Phys. Rev. Research 6, L022062– Published 14 June, 2024
  • Received 6 July 2023
  • Accepted 30 May 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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