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SIMILARITY SOLUTIONS TO THE STEFAN PROBLEM AND THE BINARY ALLOY PROBLEM

Abstract:
We present a catalogue of explicit similarity solutions to the Stefan problem and the binary alloy problem; the most general case includes convective heat transfer due to a fluid motion driven by a density change at the solid-liquid interface. The free boundary is either an ellipsoid or a hyperboloid; in the latter case we note that for certain parameter regimes there may be two solutions (with different initial data), a situation which does not occur in the one-dimensional case. © 1988 Oxford University Press.
Publication status:
Published

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Publisher copy:
10.1093/imamat/40.3.147

Authors


Journal:
IMA JOURNAL OF APPLIED MATHEMATICS
Volume:
40
Issue:
3
Pages:
147-161
Publication date:
1988-01-01
DOI:
EISSN:
1464-3634
ISSN:
0272-4960
URN:
uuid:4a6233ae-b2fc-4ac7-90c4-7042df6dfad7
Source identifiers:
15950
Local pid:
pubs:15950
Language:
English

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