Av. Kuznetsov et K. Vafai, COMPARISON BETWEEN THE 2-PHASE AND 3-PHASE MODELS FOR ANALYSIS OF POROSITY FORMATION IN ALUMINUM-RICH CASTINGS, Numerical heat transfer. Part A, Applications, 29(8), 1996, pp. 859-867
This article presents comparisons between an analytical and a numerica
l investigation of porosity formation within the mushy zone during the
solidification process. For this purpose, a three-phase model (liquid
, solid, and gas) of the mushy zone is utilized. This model takes into
account the release of the dissolved gas from the alloy as well as th
e heat transfer and interdendritic fluid flow in the two-phase region.
The main difference between the three-phase model and the two-phase m
odel (only liquid and solid), which is usually used to predict the por
osity distribution, is the inclusion of a term describing the porosity
formation in the continuity equation. The perturbation method irs use
d to obtain an analytical solution describing the porosity formation.
Pressure and porosity distributions predicted by these two models are
compared for the particular case of aluminum-rich AI-Cu castings.