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Fingering instability of a stretched liquid bridge

2019/12/04 by Sebastian Brulin, Brulin, Sebastian, Ilia V. Roisman +3
Engineering · Materials Science · #Electrohydrodynamics and Fluid Dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Heat Transfer #Pickering emulsions and particle stabilization

paper · pdf · doi:10.48550/arxiv.1912.02032

openalex publication_date 2019/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

When a liquid viscous bridge between two parallel substrates is stretched by accelerating one substrate, its interface recedes in the radial direction. In some cases the interface becomes unstable. Such instability leads to the emergence of a network of fingers. In this study the mechanisms of the fingering are studied experimentally and analysed theoretically. The experimental setup allows a constant acceleration of the movable substrate with up to 180 m/s2. The phenomena are observed using two high-speed video systems. The number of fingers is measured for different liquid viscosities and liquid bridge sizes. A linear stability analysis of the bridge interface takes into account the inertial, viscous and capillary effects in the liquid flow. The theoretically predicted maximum number of fingers, corresponding to a mode with the maximum amplitude, and a threshold for the onset of finger formation are proposed. Both models agree well with the experimental data up to the onset of emerging cavitation bubbles.

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