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Analytic theory for the selection of Saffman-Taylor fingers in the presence of thin film effectsThe present analytic theory for the width selection of Saffman-Taylor (1958) fingers in the presence of the thin film effect establishes that, in the limit of a small capillary number and a small gap-to-width ratio, fingers whose relative width is smaller than 1/2 are possible. It is established that a fully nonlinear analysis is required for this problem in order to obtain even the correct (and rather preliminary) scaling law. The way in which the selection rule for arbitrary small capillary number is obtainable is also presented.
Document ID
19910038230
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Tanveer, S.
(Ohio State University Columbus, United States)
Date Acquired
August 15, 2013
Publication Date
April 9, 1990
Publication Information
Publication: Proceedings, Series A - Mathematical and Physical Sciences
Volume: 428
Issue: 1875
ISSN: 0080-4630
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
91A22853
Funding Number(s)
CONTRACT_GRANT: NAS1-18605
CONTRACT_GRANT: NSF DMS-87-13246
Distribution Limits
Public
Copyright
Other

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