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Circular bubbles in a Hele-Shaw channel: a Hele-Shaw Newton's cradle

Abstract:

We consider the propagation of inviscid bubbles in a Hele-Shaw cell under a uniform background flow. We focus on the distinguished limit in which the hydrodynamic pressure gradient due to the external flow balances viscous drag effects due to thin liquid films between the bubbles and the cell walls (Bretherton, J. Fluid Mech., vol. 10, issue 2, 1961, pp. 166–188), with the ratio between these two effects measured by a single dimensionless parameter that we label δ. In...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/jfm.2022.1008

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Cambridge University Press
Journal:
Journal of Fluid Mechanics More from this journal
Volume:
954
Article number:
A21
Publication date:
2023-01-03
Acceptance date:
2022-12-29
DOI:
EISSN:
1469-7645
ISSN:
0022-1120
Language:
English
Keywords:
Pubs id:
1315544
Local pid:
pubs:1315544
Deposit date:
2022-12-19

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