Study on Mathematical Model of Homogenization of Dendritic Segregation

摘要

The cosine solution of the Fick-2 Law,which was considered as the mathematical model of homogenization of dendritic segregation,has always been used to analyze high temperature diffusion.Cosine solution can not exactly describe the actual distribution of alloying elements in dendrite,as the slope of cosine curve is quite gentle.Based on segregation ratio SR,a new mathematical model was established by using Gauss solution of the Fick-2 Law.The new model could describe the evolution of homogenization of alloying elements during the process of high temperature,which was proved by some specific examples.