Effects of physical parameters on the cell-to-dendrite transition in directional solidification

doi:10.1088/1674-1056/24/7/078108

Abstract A quantitative cellular automaton model is used to study the cell-to-dendrite transition (CDT) in directional solidification. We give a detailed description of the CDT by carefully examining the influence of the physical parameters, including: the Gibbs–Thomson coefficient Γ, the solute diffusivity D_l, the solute partition coefficient k₀, and the liquidus slope m_l. It is found that most of the parameters agree with the Kurz and Fisher (KF) criterion, except for k₀. The intrinsic relations among the critical velocity V_cd, the cellular primary spacing λ_{c, max}, and the critical spacing λ_cd are investigated.

Keywords: directional solidification cell-to-dendrite transition dendrite growth cellular automaton

Received: 31 October 2014
Revised: 27 January 2015
Accepted manuscript online:

PACS:	81.30.-t	(Phase diagrams and microstructures developed by solidification and solid-solid phase transformations)
	68.70.+w	(Whiskers and dendrites (growth, structure, and nonelectronic properties))
	81.30.Fb	(Solidification)
	81.10.Aj	(Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51271213 and 51323008), the National Basic Research Program of China (Grant No. 2011CB610402), the National High Technology Research and Development Program of China (Grant No. 2013AA031103), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20116102110016), and the China Postdoctoral Science Foundation (Grant No. 2013M540771).

Corresponding Authors: Lin Xin
E-mail: xlin@nwpu.edu.cn

Cite this article:

Wei Lei (魏雷), Lin Xin (林鑫), Wang Meng (王猛), Huang Wei-Dong (黄卫东) Effects of physical parameters on the cell-to-dendrite transition in directional solidification 2015 Chin. Phys. B 24 078108

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Effects of physical parameters on the cell-to-dendrite transition in directional solidification

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