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Journal article

Two-dimensional solidification and melting in potential flows

Abstract:
The problem of solidification or melting under the action of a forced hydrodynamic flow is considered. In the appropriate parameter régime, the problem admits a formulation in terms of analytic functions. It is shown that a crystal with a parabolic tip propagates without change of shape at a steady velocity. Some novel explicit solutions are presented.
Publication status:
Published

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Publisher copy:
10.1017/S0022112098003188

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
JOURNAL OF FLUID MECHANICS
Volume:
378
Pages:
1-18
Publication date:
1999-01-10
DOI:
ISSN:
0022-1120
URN:
uuid:453bd497-fde0-4bb6-af20-f72385d223ed
Source identifiers:
3549
Local pid:
pubs:3549
Language:
English

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