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Pattern selection and tip perturbations in the Saffman-Taylor problemAn analytic approach to the Saffman-Taylor problem of predicting the width of a viscous finger in a Hele-Shaw cell is presented. The first purpose is to provide a systematic description of the way in which the singular perturbation introduced by capillary forces leads to a solvability mechanism for pattern selection. It is then shown how recent experimental observations by Couder et al. (1986) may be interpreted in terms suggested by this mechanism.
Document ID
19880025812
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Hong, D. C.
(California Univ. Santa Barbara, CA, United States)
Langer, J. S.
(California, University Santa Barbara, United States)
Date Acquired
August 13, 2013
Publication Date
September 1, 1987
Publication Information
Publication: Physical Review A - General Physics, 3rd Series
Volume: 36
ISSN: 0556-2791
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
88A13039
Funding Number(s)
CONTRACT_GRANT: DE-FG03-84ER-45108
CONTRACT_GRANT: NSF PHY-82-17853
Distribution Limits
Public
Copyright
Other

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