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Chin. Phys. B, 2008, Vol. 17(9): 3516-3522    DOI: 10.1088/1674-1056/17/9/063
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Phase field simulation of the columnar dendritic growth and microsegregation in a binary alloy

Li Jun-Jie(李俊杰), Wang Jin-Cheng(王锦程), and Yang Gen-Cang(杨根仓)
State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China
Abstract  This paper applies a phase field model for polycrystalline solidification in binary alloys to simulate the formation and growth of the columnar dendritic array under the isothermal and constant cooling conditions. The solidification process and microsegregation in the mushy zone are analysed in detail. It is shown that under the isothermal condition solidification will stop after the formation of the mushy zone, but dendritic coarsening will progress continuously, which results in the decrease of the total interface area. Under the constant cooling condition the mushy zone will solidify and coarsen simultaneously. For the constant cooling solidification, microsegregation predicted by a modified Brody-Flemings model is compared with the simulation results. It is found that the Fourier number which characterizes microsegregation is different for regions with different microstructures. Dendritic coarsening and the larger area of interface should account for the enhanced Fourier number in the region with well developed second dendritic arms.
Keywords:  phase field model      solidification      columnar dendrite      microsegregation  
Received:  23 January 2008      Revised:  24 February 2008      Accepted manuscript online: 
PACS:  68.70.+w (Whiskers and dendrites (growth, structure, and nonelectronic properties))  
  64.70.D- (Solid-liquid transitions)  
  64.75.-g (Phase equilibria)  
  81.30.Fb (Solidification)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 50401013) and Doctorate Foundation of Northwestern Polytechnical University, China.

Cite this article: 

Li Jun-Jie(李俊杰), Wang Jin-Cheng(王锦程), and Yang Gen-Cang(杨根仓) Phase field simulation of the columnar dendritic growth and microsegregation in a binary alloy 2008 Chin. Phys. B 17 3516

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