Numerical Modeling of the Interaction between a Foreign Particle an Solidifying Crystalline Interface

"The interaction between a solidification front and a spherical particle was modeled and simulated in order to study the phenomenon of ""pushing"". Finite element methods were employed in axisymetric domains. The drag force is calculated from the calculated fluid flow field and the repulsion force is the Lifshitz-Van der Waal force. The thermal field is decoupled from the force field. The model is applied to a metallic matrix containing particles with similar, lower or higher thermal conductivities than the matrix, resulting in planar, convex and concave interface shapes, respectively.The results show that the critical velocities for pushing for concave and convex interfaces are about one order of magnitude larger and one order of magnitude lower than the critical velocity for flat interfaces, respectively. The simulated results were in very good agreement with reported experimental results.IntroductionThe solidification interface of materials containing spherical particles in some cases can push the particle ahead the interface. This phenomenon generally occurs during the solidification of different materials such as, metallic alloys containing native particles, metal matrix composites containing particles or fibers as reinforcements and crystallization of semiconductor, optical, optoelectronic or biological materials. In all cases the interaction strongly determines the distribution of particles and the resulting physical and physic-chemical properties of the resulting material. The phenomenon has been investigated for many years both experimentally and by mathematical modeling [1-21]. The process is complex due to the variety of phenomena involved during pushing. In all cases, the physical problem depends on the properties, nature, and morphology of the interacting media; the particle, melt and solid; and external fields such as gravity, thermal and electromagnetic fields."