Abstract: A new three-dimensional numerical model combining the lattice Boltzmann(LB) and cellular automaton(CA) met-hods was developed to simulate heat transport, fluid flow, solute diffusion, and dendritic growth in the process of the Al-4.7%Cu solidification of the single-phase solid solution alloy. In the coupled model, the dendritic growth was simulated by the cellular auto-maton method, and the temperature field, the flow field and the concentration field in the process of dendritic growth were numerically solved using the lattice Boltzmann method based on the molecule-kinetic theory. The simulation results verify that the change of dendrite morphology and the solute concentration during the solidification process which were reproduced. The effects of natural convection and undercooling on the dendrite morphology and composition distribution were studied quantitatively. The results show that under the condition of pure diffusion, the dendritic growth is symmetrical, the relationship between the tip velocity, the tip radius and the undercooling degree of the steady growth of simulated free dendrite is in good agreement with the predictions of the Lipton-Glicksman-Kurz(LGK) model. Under the condition of natural convection, themorphology of dendrite growth is asymmetric, that is to say, the dendritic growth in the upstream region of the natural flow is promoted, as well as the dendrite growth in the downstream region is inhibited. The effect of undercooling on dendrite growth is also great, the increase of undercooling leads to the increase of dendrite growth, and the secondary arms increase and coarsen, the solute concentration at the solid-liquid interface of the dendrite tip increases, which aggravates the solute segregation.
骈松, 张照, 包羽冲, 刘林, 李日. 基于三维LBM-CA模型模拟Al-4.7%Cu合金的枝晶形貌和成分分布*[J]. 《材料导报》期刊社, 2017, 31(20): 140-146.
PIAN Song, ZHANG Zhao, BAO Yuchong, LIU Lin, LI Ri. Simulation of Dendrite Morphology and Composition Distribution of Al-4.7%Cu Alloy Based on Three Dimensional LBM-CA Model. Materials Reports, 2017, 31(20): 140-146.
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2017, Vol. 31 
