What happens to the initial planar instability when the thermal gradient is increased during directional solidification?

doi:10.1088/1674-1056/20/10/108104

中国物理B ›› 2011, Vol. 20 ›› Issue (10): 108104-108104.doi: 10.1088/1674-1056/20/10/108104

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

What happens to the initial planar instability when the thermal gradient is increased during directional solidification?

王志军, 王锦程, 李俊杰, 杨根仓, 周尧和

State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China

收稿日期:2011-01-20 修回日期:2011-06-15 出版日期:2011-10-15 发布日期:2011-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 51071128), the Program for New Century Excellent Talents in University (Grant No. NCET-09-0683), the Fund of State Key Laboratory of Solidification Processing in Northwestern Polytechnical University, China (Grant Nos. 17-TZ-2007, 03-TP-2008, and 24-TZ-2009), the National Basic Research Program of China (Grant No. 2011CB610401), and the China Postdoctoral Science Foundation (Grant No. 20110491689).

What happens to the initial planar instability when the thermal gradient is increased during directional solidification?

Wang Zhi-Jun(王志军), Wang Jin-Cheng(王锦程)^†, Li Jun-Jie(李俊杰), Yang Gen-Cang(杨根仓), and Zhou Yao-He(周尧和)

State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China

Received:2011-01-20 Revised:2011-06-15 Online:2011-10-15 Published:2011-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 51071128), the Program for New Century Excellent Talents in University (Grant No. NCET-09-0683), the Fund of State Key Laboratory of Solidification Processing in Northwestern Polytechnical University, China (Grant Nos. 17-TZ-2007, 03-TP-2008, and 24-TZ-2009), the National Basic Research Program of China (Grant No. 2011CB610401), and the China Postdoctoral Science Foundation (Grant No. 20110491689).

摘要/Abstract

摘要： The positive thermal gradient is one of the most important parameters during directional solidification. The increase of the thermal gradient usually stabilizes the planar interface in the steady state analysis. However, in the initial transient range of planar instability, the thermal gradient presents complicated effects. Time-dependent analysis shows that the increase of the thermal gradient can enhance both the stabilizing effects and the destabilizing effects on a planar interface. The incubation time first decreases and then increases with the increase of the thermal gradient. Moreover, the initial average wavelength always increases with the thermal gradient increasing, contrary to the effect of the thermal gradient on the steady cellular/dendritic spacing. This reveals the types of spacing adjustment after planar instability.

Abstract: The positive thermal gradient is one of the most important parameters during directional solidification. The increase of the thermal gradient usually stabilizes the planar interface in the steady state analysis. However, in the initial transient range of planar instability, the thermal gradient presents complicated effects. Time-dependent analysis shows that the increase of the thermal gradient can enhance both the stabilizing effects and the destabilizing effects on a planar interface. The incubation time first decreases and then increases with the increase of the thermal gradient. Moreover, the initial average wavelength always increases with the thermal gradient increasing, contrary to the effect of the thermal gradient on the steady cellular/dendritic spacing. This reveals the types of spacing adjustment after planar instability.

Key words: directional solidification, thermal gradient, transient behaviour, initial planar instability

中图分类号: (Solidification)

81.30.Fb

47.20.Ib (Instability of boundary layers; separation) 47.20.Ma (Interfacial instabilities (e.g., Rayleigh-Taylor))

王志军, 王锦程, 李俊杰, 杨根仓, 周尧和. What happens to the initial planar instability when the thermal gradient is increased during directional solidification?[J]. 中国物理B, 2011, 20(10): 108104-108104.

Wang Zhi-Jun(王志军), Wang Jin-Cheng(王锦程), Li Jun-Jie(李俊杰), Yang Gen-Cang(杨根仓), and Zhou Yao-He(周尧和) . What happens to the initial planar instability when the thermal gradient is increased during directional solidification?[J]. Chin. Phys. B, 2011, 20(10): 108104-108104.

参考文献 19

[1]	Langer J S 1980 Rev. Mod. Phys. 52 1
[2]	Somboonsuk K, Mason J T and Trivedi R 1984 Metall. Trans. A 15 967
[3]	Billia B and Trivedi R 1993 Handbook of Crystal Growth (Amsterdam: Elsevier) Vol. 1 p. 899
[4]	Boettinger W J, Coriell1 S R, Greer A L, Karma A, Kurz W, Rappaz M and Trivedi R 2000 Acta Mater. 48 43
[5]	Wang Z J, Wang J C and Yang G C 2010 Chin. Phys. B 19 017305
[6]	Georgelin M and Pocheau A 1998 Phys. Rev. E 57 3189
[7]	Georgelin M and Pocheau A 1998 Eur. Phys. J. B 4 169
[8]	Teng J, Liu S and Trivedi R 2009 Acta Mater. 57 3497
[9]	Warren J A and Langer J S 1993 Phys. Rev. E 47 2702
[10]	Huang W, Geng X and Zhou Y 1993 J. Cryst. Growth 134 105
[11]	Ma D and Jie W 1996 Acta Phys. Sin. (Overseas Edition) 5 306
[12]	Losert W, Shi B Q and Cummins H Z 1998 Proc. Natl. Acad. Sci. 95 431
[13]	Wang Z J, Wang J C and Yang G C 2009 Appl. Phys. Lett. 94 061920
[14]	Mullins W W and Sekerka R F 1964 J. Appl. Phys. 35 444
[15]	Wang Z J, Wang J C and Yang G C 2008 Acta Phys. Sin. 57 1246 (in Chinese)
[16]	Wang Z J, Wang J C and Yang G C 2009 Cryst. Res. Technol. 44 43
[17]	Chen M W, Lan M, Yuan L, Wang Y Y, Wang Z D and Xu J J 2009 it Chin. Phys. B 18 1691
[18]	Wang Z J, Wang J C and Yang G C 2009 Phys. Rev. E 80 052603
[19]	Ding G L 1997 Morphological Characteristics and Transitions During the Solidification of Binary Alloys (Xi'an: Xi'an Northwestern Polytechnical University Press) (in Chinese)

What happens to the initial planar instability when the thermal gradient is increased during directional solidification?

What happens to the initial planar instability when the thermal gradient is increased during directional solidification?

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