TY - JOUR
T1 - Macroscopic models for melting derived from averaging microscopic Stefan problems II
T2 - Effect of varying geometry and composition
AU - Lacey, A. A.
AU - Herraiz, L. A.
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0036062960&partnerID=8YFLogxK
U2 - 10.1017/S0956792501004818
DO - 10.1017/S0956792501004818
M3 - Article
SN - 0956-7925
VL - 13
SP - 261
EP - 282
JO - European Journal of Applied Mathematics
JF - European Journal of Applied Mathematics
IS - 3
ER -