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Analytic theory for the selection of a two-dimensional needle crystal at arbitrary Peclet numberAn accurate analytic theory is presented for the velocity selection of a two-dimensional needle crystal for arbitrary Peclet number for small values of the surface tension parameter. The velocity selection is caused by the effect of transcendentally small terms which are determined by analytic continuation to the complex plane and analysis of nonlinear equations. The work supports the general conclusion of previous small Peclet number analytical results of other investigators, though there are some discrepancies in details. It also addresses questions raised on the validity of selection theory owing to assumptions made on shape corrections at large distances from the tip.
Document ID
19900025739
Document Type
Reprint (Version printed in journal)
Authors
Tanveer, S. (Virginia Polytechnic Institute and State University Blacksburg, United States)
Date Acquired
August 14, 2013
Publication Date
October 15, 1989
Publication Information
Publication: Physical Review A - General Physics, 3rd Series
Volume: 40
ISSN: 0556-2791
Subject Category
SOLID-STATE PHYSICS
Funding Number(s)
CONTRACT_GRANT: NSF DMS-87-13246
CONTRACT_GRANT: NAS1-18605
Distribution Limits
Public
Copyright
Other