TY - JOUR
T1 - Numerical Modeling of One-Dimensional Binary Solidification with a Mushy Layer Evolution
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 157
EP - 185
PY - 2012
DA - 2012/05
SN - 5
DO - http://doi.org/10.4208/nmtma.2012.m1029
UR - https://global-sci.org/intro/article_detail/nmtma/5933.html
KW - Direct numerical simulation, Heat and mass transfer, Mushy layer, Solidification, Stefan problem.
AB - <p style="text-align: justify;">The numerical modeling of a binary solidification with
a mushy layer mechanism is considered in this manuscript. The nonlinear coupled system of equations describes the heat and mass
diffusions of a one-dimensional spatial variable in the semi-infinite interval.
Also formulated is a transformed system in a finite interval.
We propose numerical methods for solving the nonlinear system
using a threshold strategy based on fixed computation-domain approach.
Our calculated results and those from the LeadEx field experiment
are well-matched in their tendencies.</p>