Macroscopic models for melting derived from
averaging microscopic Stefan problems II:
Effect of varying geometry and composition
2002 ◽
Vol 13
(3)
◽
pp. 261-282
◽
Keyword(s):
A mushy region is assumed to consist of a fine mixture of two distinct phases separated by free boundaries. A method of multiple scales, with restrictions on the form of the microscopic free boundaries, is used to derive a macroscopic model for the mushy region. The final model depends both on the microscopic structure and on how the free-boundary temperature varies with curvature (Gibbs–Thomson effect), kinetic undercooling, or, for an alloy, composition.
2000 ◽
Vol 11
(2)
◽
pp. 153-169
◽
Keyword(s):
2018 ◽
Vol 30
(3)
◽
pp. 529-556
1976 ◽
Vol 347
(1651)
◽
pp. 537-546
◽
Keyword(s):
2018 ◽
Vol 211
◽
pp. 02008
◽
1996 ◽
Vol 21
(2)
◽
pp. 245-252
◽
1998 ◽
Vol 218
(2)
◽
pp. 293-305
◽
Keyword(s):
1989 ◽
Vol 6
(1)
◽
pp. 1-20
◽
2010 ◽
Vol 29
(2)
◽
pp. 166-181
◽