中国物理B ›› 2004, Vol. 13 ›› Issue (9): 1520-1525.doi: 10.1088/1009-1963/13/9/027

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Monte Carlo simulation of the dynamic evolution of binary lamellar eutectic in directional solidification

王伟民1, 牛玉超1, 陈俊华1, 边秀房1, 刘俊明2   

  1. (1)Key Laboratory of Liquid Structure and Heredity of Materials, Shandong University, Jinan 250061, China; (2)Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China
  • 收稿日期:2004-01-31 修回日期:2004-02-23 出版日期:2004-06-21 发布日期:2005-06-21
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 50231040 and 50301008).

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   

  1. 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
  • Received:2004-01-31 Revised:2004-02-23 Online:2004-06-21 Published:2005-06-21
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 50231040 and 50301008).

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摘要： 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 λ is found to be inversely proportional to the chemical potential difference Δμ, predicting a linear relationship between the kinetic supercooling ΔT_k and total supercooling at the solid/liquid (S/L) interface; (2) as the solidifying velocity R is low, the dynamic product λ^{2}R shows a considerable dependence on temperature gradient G_T in the liquid in front of the S/L interface, although this dependence becomes much weaker at a high R.

关键词: eutectic, solidification, Monte Carlo method

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 $R$.

Key words: eutectic, solidification, Monte Carlo method

中图分类号:  (Solidification)

  • 81.30.Fb