中国物理B ›› 2013, Vol. 22 ›› Issue (7): 78101-078101.doi: 10.1088/1674-1056/22/7/078101

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

A steady solution of the gasar eutectic growth in directional solidification

李向明, 李文琼, 金青林, 周荣   

  1. School of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093, China
  • 收稿日期:2012-10-24 修回日期:2013-01-05 出版日期:2013-06-01 发布日期:2013-06-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51201078, 51164018, and u0837603).

A steady solution of the gasar eutectic growth in directional solidification

Li Xiang-Ming (李向明), Li Wen-Qiong (李文琼), Jin Qing-Lin (金青林), Zhou Rong (周荣)   

  1. School of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093, China
  • Received:2012-10-24 Revised:2013-01-05 Online:2013-06-01 Published:2013-06-01
  • Contact: Li Xiang-Ming E-mail:lixiangming04@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51201078, 51164018, and u0837603).

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摘要： This paper presents the general mathematical model on gasar eutectic growth in directional solidification. Using multiple scale expansion and matching method, we obtain the global steady solution of gasar eutectic growth as the Peclet number ε«1, where ε is defined as the ratio of half an inter-pore spacing and solutal diffusion length. We also give the interfacial shape and predict the porosity of gasar eutectic growth. Results show that porosity is mainly determined by external pressure above metal melt and independent of pulling velocity. Our predicted results are in agreement with experimental data.

关键词: porosity, solidification, gasar eutectic growth, asymptotic solution

Abstract: This paper presents the general mathematical model on gasar eutectic growth in directional solidification. Using multiple scale expansion and matching method, we obtain the global steady solution of gasar eutectic growth as the Peclet number ε«1, where ε is defined as the ratio of half an inter-pore spacing and solutal diffusion length. We also give the interfacial shape and predict the porosity of gasar eutectic growth. Results show that porosity is mainly determined by external pressure above metal melt and independent of pulling velocity. Our predicted results are in agreement with experimental data.

Key words: porosity, solidification, gasar eutectic growth, asymptotic solution

中图分类号:  (Solidification)

  • 81.30.Fb
66.30.je (Diffusion of gases) 44.05.+e (Analytical and numerical techniques) 51.10.+y (Kinetic and transport theory of gases)