Mjm. Krane et al., SOLIDIFICATION OF A TERNARY METAL ALLOY - A COMPARISON OF EXPERIMENTAL MEASUREMENTS AND MODEL PREDICTIONS IN A PB-SB-SN SYSTEM, Metallurgical and materials transactions. A, Physical metallurgy andmaterials science, 29(3), 1998, pp. 843-853
Experiments were performed with a Pb-5 pct Sb-35 pct Sn system to expe
rimentally validate simulations made with a continuum mixture model fo
r ternary alloy solidification. Temperature histories were measured du
ring casting, and composition profiles were found in the solidified in
got. Dendritic arm spacings were found from optical micrographs of the
alloy microstructure and used to determine a constant in the Blake-Ko
zeny submodel for the mushy zone permeability in the liquid-solid inte
raction term of the momentum equations. Scaling analysis from a previo
us work and a large uncertainty in the permeability constant suggested
that predictions of the composition are extremely sensitive to the ch
oice of a permeability model. Three simulations were performed using t
he permeability constant as a parameter, and measured temperatures and
compositions were compared with predictions based on different model
constants. While the thermal histories had good agreement, the results
near the liquidus interface, where all of the significant advection o
f solute occurs, suggest that the Blake-Kozeny model significantly und
erpredicts the resistance of the dendritic array to fluid flow.