Numerical Simulation of Interface Shape around an Insoluble Particle for Fe-C Alloys Using a Phase-field Model

摘要

The first trial for numerical simulations of solid/liquid interface shape change around an insoluble particle for Fe-C alloys has been carried out. Real-time interface shape evolution during unidirectional solidification has been calculated using the phase-field model with parameters determined by thin interface limit condition. The interface becomes concave near the particle because of solute enrichment in the liquid between interface and a particle. Liquid trench ahead of the particle and thin and thin liquid film along its surface remain until the late stage of solidification. The results are qualitatively in good agreement with the reported experimental observations. The effects of interface velocity and initial carbon content on the interface shape are also examined. Using the obtained interface shapes, the forces to the particle are estimated and the particle engulfment behavior by interface is discussed.