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Physics of Fluids / Volume 24 / Issue 2 / LETTERS

Phys. Fluids 24, 021702 (2012); http://dx.doi.org/10.1063/1.3682772 (7 pages)

Oscillatory bubbles induced by geometrical constraint

M. Pailha, A. L. Hazel, P. A. Glendinning, and A. Juel

Manchester Centre for Nonlinear Dynamics and School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom

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(Received 29 September 2011; accepted 3 January 2012; published online 9 February 2012)

We show that a simple change in pore geometry can radically alter the behavior of a fluid-displacing air finger, indicating that models based on idealized pore geometries fail to capture key features of complex practical flows. In particular, partial occlusion of a rectangular cross section can force a transition from a steadily propagating centered finger to a state that exhibits spatial oscillations formed by periodic sideways motion of the interface at a fixed distance behind the moving finger tip. We characterize the dynamics of the oscillations, which suggest that they arise from a global homoclinic connection between the stable and unstable manifolds of a steady, symmetry-broken solution.

© 2012 American Institute of Physics

KEYWORDS and PACS

Keywords

bubbles, fluid oscillations, pattern formation, two-phase flow

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3682772

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    M. Sahimi, “Flow phenomena in rocks: From continuum models to fractals, percolation, cellular automata, and simulated annealing,” Rev. Mod. Phys. 65, 1393 (1993).

    A. de Lózar, A. Heap, F. Box, A. L. Hazel, and A. Juel, “Partially-occluded tubes can force switch-like transitions in the behavior of propagating bubbles,” Phys. Fluids 21, 101702 (2009)PHFLE6000021000010101702000001.

    A. de Lózar, A. L. Hazel, and A. Juel, “Scaling properties of coating flows in rectangular channels,” Phys. Rev. Lett. 99, 234501 (2007).


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