Monte Carlo simulation of the dynamic evolution of binary lamellar eutectic in directional solidification
Wang Wei-Min (王伟民)a, Niu Yu-Chao (牛玉超)a, Chen Jun-Hua (陈俊华)a, Bian Xiu-Fang (边秀房)a, Liu Jun-Ming (刘俊明)b
a Key Laboratory of Liquid Structure and Heredity of Materials, Shandong University, Jinan 250061, China; b Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China
Abstract The dynamic evolution of the lamellar eutectic of binary alloys in directional solidification is studied in detail using the Monte Carlo technique. The simulated results can be summarized into two aspects: (1) the lamellar spacing $\lambda$ is found to be inversely proportional to the chemical potential difference $\Delta\mu$, predicting a linear relationship between the kinetic supercooling $\Delta T_{\rm k}$ and total supercooling at the solid/liquid (S/L) interface; (2) as the solidifying velocity $R$ is low, the dynamic product $\lambda^{2}R$ shows a considerable dependence on temperature gradient $G_{\rm T}$ in the liquid in front of the S/L interface, although this dependence becomes much weaker at a high $R$.
Received: 31 January 2004
Revised: 23 February 2004
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 50231040 and 50301008).
Cite this article:
Wang Wei-Min (王伟民), Niu Yu-Chao (牛玉超), Chen Jun-Hua (陈俊华), Bian Xiu-Fang (边秀房), Liu Jun-Ming (刘俊明) Monte Carlo simulation of the dynamic evolution of binary lamellar eutectic in directional solidification 2004 Chinese Physics 13 1520
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