Unsteady motion of a bubble in a Hele-Shaw cell

New exact solutions of an idealized unsteady single-phase Hele-Shaw problem of air-bubble motion in a slot-type channel are constructed under the assumption of bubble symmetry relative to the central axis of the channel. Qualitative features of the interface evolution, which distinguish this case fr...

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Bibliographic Details
Published in:Fluid dynamics 2016-03, Vol.51 (2), p.253-265
Main Author: Alimov, M. M.
Format: Article
Language:English
Subjects:
Bubbles
Channels
Classical and Continuum Physics
Classical Mechanics
Engineering Fluid Dynamics
Evolution
Exact solutions
Fluid dynamics
Fluid- and Aerodynamics
Mathematical analysis
Physics
Physics and Astronomy
Symmetry
Unsteady
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Summary:New exact solutions of an idealized unsteady single-phase Hele-Shaw problem of air-bubble motion in a slot-type channel are constructed under the assumption of bubble symmetry relative to the central axis of the channel. Qualitative features of the interface evolution, which distinguish this case from the earlier considered cases of Hele-Shaw flow with different geometry, are detected.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462816020125