5th International Conference on Advances in Solidification Processes (ICASP-5) 5th International Symposium on Cutting Edge of Computer Simulation of Solidification, Casting and Refining (CSSCR-5)

Permeability for flow of interdendritic liquid is a very important parameter in a macrosegregation prediction during alloy solidification. For systematical permeability prediction in various solidification conditions, a numerical simulation coupling a phase-field method and computational fluid dynamics would be the most promising approach. In our previous study, we have developed a permeability prediction method by large-scale simulations of phase-field and lattice Boltzmann methods [Takaki et al., (2018) submitted]. In the study, we have concluded that the permeability normal to a columnar dendrite in a regular hexagonal array can express one of the multiple columnar dendrites [Takaki et al., Acta Mater. 118 (2016) 230-243]. In addition, one advantage of the developed permeability prediction method is that we can use a periodic boundary condition for the single columnar dendrite. This means that we can apply the liquid flow in any direction to the single columnar dendrite. In this study, using the permeability prediction method developed in our previous study, we compute the permeability in various directions of a columnar dendrite. And, we investigate the direction dependent permeability of columnar dendrite in detail. Through the detail investigation, we attempt to develop a permeability tensor of the columnar dendrite.