Author:
LACEY A. A.,HERRAIZ L. A.
Abstract
A mushy region is assumed to consist of a fine mixture of two distinct phases separated by
free boundaries. For simplicity, the fine structure is here taken to be periodic, first in one
dimension, and then a lattice of squares in two dimensions. A method of multiple scales
is employed, with a classical free-boundary problem being used to model the evolution of
the two-phase microstructure. Then a macroscopic model for the mush is obtained by an
averaging procedure. The free-boundary temperature is taken to vary according to
Gibbs–Thomson and/or kinetic-undercooling effects.
Publisher
Cambridge University Press (CUP)
Cited by
16 articles.
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