2020
DOI: 10.1103/physrevresearch.2.013188
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Rising bubble in a cell with a high aspect ratio cross-section filled with a viscous fluid and its connection to viscous fingering

Abstract: We investigate, both experimentally and theoretically, the velocity and shape of bubbles that rise in a vertical cell with a rectangular cross-section due to buoyancy. The shorter length of the cross-section is comparable to, and the longer length is larger than, the capillary length. This geometry allows us to confine the bubble in two lateral directions, where the bubble is strongly confined by the front and back walls of the cell, and weakly confined by the side walls. Due to this double confinement, one la… Show more

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Cited by 8 publications
(1 citation statement)
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“…We have recently focused on the lubricating film, using a vertically stood Hele-Shaw cell of millimeter thickness, filled with viscous liquid. As a result, we have established a number of scaling regimes for drag friction acting on fluids surrounded by another immiscible fluid [11][12][13][14]. Furthermore, other groups have explored closely related issues, using cells with smaller scales [15,16] and comparing numerical results with experiment [17].…”
Section: Introductionmentioning
confidence: 99%
“…We have recently focused on the lubricating film, using a vertically stood Hele-Shaw cell of millimeter thickness, filled with viscous liquid. As a result, we have established a number of scaling regimes for drag friction acting on fluids surrounded by another immiscible fluid [11][12][13][14]. Furthermore, other groups have explored closely related issues, using cells with smaller scales [15,16] and comparing numerical results with experiment [17].…”
Section: Introductionmentioning
confidence: 99%