Two-Phase Predictive Finite-Element Flow Model for Semi-Solid Slurries

Semisolid metal alloys have a special microstructure of globular grains suspended in a liquid metal matrix. This particular physical state of the matter can be exploited to produce near-net- shape parts with improved mechanical properties. However, the behavior of the slurry is strongly influenced by the local solid fraction and state of agglomeration. Different flow instabilities ·associated with the combined flow and solidification process result, which make difficult the application of semi-solid processing in the casting industry. Moreover, the rheology of semisolid materials is not well understood. Most of the theory has been derived from experimental data, which are somewhat difficult to measure. A model that accounts for the multiphase nature of semisolid slurries is required to get more insight into such complex flows. This paper describes a mixture model for semisolid slurries. It assumes that the mixture of liquid-solid components behaves as a single fluid as far as overall mass and momentum balances are concerned. The coupling force between the phases is derived on the assumption that the slurry is a fluid saturated isotropic media. The proposed methodology is implemented in a finite element code. The model is then applied to the the filling of an industrial-scale capillary flow viscometer. Segregation patterns are obtained and discussed.