Evaluation of permeability for columnar dendrite with developed secondary arm by phase-field and lattice Boltzmann method

Abstract

Permeability is a very essential parameter in simulations for predicting macrosegregation. In our previous study, we have developed the permeability prediction method using phase-field and lattice Boltzmann methods [Acta Mater. 164 (2019) 237-249, Acta Mater. 188 (2020) 282-287]. In this study, we evaluate the permeability for columnar dendrites with developed secondary arms by the phase-field and lattice Boltzmann methods. As a result, it is concluded that the dimensionless permeability for flow of normal and parallel directions are approximated by Kozeny-Carman equation except for regions with developed secondary arms.