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Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. I - Velocity selection. II - StabilityAn asymptotic theory is presented for the determination of velocity and linear stability of a steady symmetric bubble in a Hele-Shaw cell for small surface tension. First the bubble velocity relative to the fluid velocity at infinity is determined for small surface tension by means of a transcendentally small correction to the asymptotic series solution. In addition, a linear stability analysis shows that only the solution branch corresponding to the largest possible bubble velocity for given surface tension is stable, while all the others are unstable.
Document ID
19900031832
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Tanveer, S.
(Virginia Polytechnic Institute and State University Blacksburg, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Publication Information
Publication: Theoretical and Computational Fluid Dynamics
Volume: 1
Issue: 3 19
ISSN: 0935-4964
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
90A18887
Funding Number(s)
CONTRACT_GRANT: NAS1-18605
CONTRACT_GRANT: NSF DMS-87-13246
Distribution Limits
Public
Copyright
Other

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