Heriot-Watt Mathematics Report Series
HWM98-68, 20 Jan 1999
Macroscopic Models for Melting Derived from Averaging Microscopic Stefan Problems I: Simple Geometries with Kinetic Undercooling or Surface Tension
L A Herraiz and A A Lacey
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.
Google Scholar Search: links, citations and journal (if available)
Contact Details | 1998 Reports Index |
Full Index