Numerical prediction of the effective thermal conductivity of dendritic mushy zones

摘要

A numerical method has been proposed for predicting the effective thermal conductivity of dendritic mushy zones as a function of fraction solid. The proposed method estimates the value of the effective thermal conductivity by the finite-difference method using known morphologies of the mushy zone. Numerical solutions are presented for some simple two-dimensional shapes approximating columnar and equiaxed dendrites and some complex dendrites generated by a cellular-automaton-finite-difference model. Material: an Al-Cu alloy.