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A lattice Boltzmann-cellular automaton study on dendrite growth with melt convection in solidification of ternary alloys |
| Dong-Ke Sun(孙东科)1,2, Zhen-Hua Chai(柴振华)3, Qian Li(李谦)4, Guang Lin(林光)5 |
1 School of Mechanical Engineering, Southeast University, Nanjing 211189, China;
2 Open Project of State Key Laboratory of Advanced Special Steel, Shanghai University, Shanghai 200444, China;
3 School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China;
4 School of Materials Science and Engineering & Materials Genome Institute, Shanghai University, Shanghai 200444, China;
5 Department of Mathematics, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA |
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Abstract A lattice Boltzmann (LB)-cellular automaton (CA) model is employed to study the dendrite growth of Al-4.0 wt%Cu-1.0 wt%Mg alloy. The effects of melt convection, solute diffusion, interface curvature, and preferred growth orientation are incorporated into the coupled model by coupling the LB-CA model and the CALPHAD-based phase equilibrium solver, PanEngine. The dendrite growth with single and multiple initial seeds was numerically studied under the conditions of pure diffusion and melt convection. Effects of initial seed number and melt convection strength were characterized by new-defined solidification and concentration entropies. The numerical result shows that the growth behavior of dendrites, the final microstructure, and the micro-segregation are significantly influenced by melt convection during solidification of the ternary alloys. The proposed solidification and concentration entropies are useful characteristics bridging the solidification behavior and the microstructure evolution of alloys.
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Received: 08 March 2018
Revised: 09 May 2018
Accepted manuscript online:
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PACS:
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81.30.Fb
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(Solidification)
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47.11.-j
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(Computational methods in fluid dynamics)
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68.08.De
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(Liquid-solid interface structure: measurements and simulations)
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81.10.-h
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(Methods of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51728601 and 51771118). |
Corresponding Authors:
Dong-Ke Sun
E-mail: dksun@seu.edu.cn
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Cite this article:
Dong-Ke Sun(孙东科), Zhen-Hua Chai(柴振华), Qian Li(李谦), Guang Lin(林光) A lattice Boltzmann-cellular automaton study on dendrite growth with melt convection in solidification of ternary alloys 2018 Chin. Phys. B 27 088105
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