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

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

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.

Keywords: directional solidification thermal gradient transient behaviour initial planar instability

Received: 20 January 2011
Revised: 15 June 2011
Accepted manuscript online:

PACS:	81.30.Fb	(Solidification)
	47.20.Ib	(Instability of boundary layers; separation)
	47.20.Ma	(Interfacial instabilities (e.g., Rayleigh-Taylor))

Fund: 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).

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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? 2011 Chin. Phys. B 20 108104

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

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