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Phase-field simulation of dendritic growth in a forced liquid metal flow coupling with boundary heat flux

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Abstract

A phase-field model with forced liquid metal flow was employed to study the effect of boundary heat flux on the dendritic structure forming of a Ni-40.8%Cu alloy with liquid flow during solidification. The effect of the flow field coupling with boundary heat extractions on the morphology change and distributions of concentration and temperature fields was analyzed and discussed. The forced liquid flow could significantly affect the dendrite morphology, concentration and temperature distributions in the solidifying microstructure. And coupling with boundary heat extraction, the solute segregation and concentration diffusion were changed with different heat flux. The morphology, concentration and temperature distributions were significantly influenced by increasing the heat extraction, which could relatively make the effect of liquid flow constrained. With increasing the initial velocity of liquid flow, the lopsided rate of the primary dendrite arm was enlarged and the transition of developing manner of the secondary arms moved to the large heat extraction direction. It was the competition between heat flux and forced liquid flow that finally determined microstructure forming during solidification.

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References

  1. Asta M, Beckermann C, Karma A, et al. Solidification microstructures and solid-state parallels: Recent developments, future directions. Acta Mater, 2009, 57: 941–971

    Article  Google Scholar 

  2. Chen L Q. Phase-field models for microstructure evolution. Annu Rev Mater Sci, 2002, 32: 113–140

    Article  Google Scholar 

  3. Boettinger W J, Warren J A, Beckermann C, et al. Phase-field simu lation of solidification. Annu Rev Mater Sci, 2002, 32: 163–194

    Article  Google Scholar 

  4. Loginova I S, Singer H M. The phase field technique for modeling multiphase materials. Rep Prog Phys, 2008, 71(10): 106501

    Article  Google Scholar 

  5. Steinbach I. Phase-field models in materials science. Modell Simul Mater Sci Eng, 2009, 17(7): 073001

    Article  MathSciNet  Google Scholar 

  6. Kobayashi R. Modeling and numerical simulations of dendritic crystal-growth. Phys D 1993, 63(3–4): 410–423

    Article  MATH  Google Scholar 

  7. Wheeler A A, Boettinger W J, Mcfadden G B. Phase-field model for isothermal phase-transitions in binary-alloys. Phys Rev A, 1992, 45: 7424–7439

    Article  Google Scholar 

  8. Wheeler A A, Boettinger W J, Mcfadden G B. Phase-field model of solute trapping during solidification. Phys Rev E, 1993, 47: 1893–1909

    Article  Google Scholar 

  9. Kim S G, Kim W T, Suzuki T. Interfacial compositions of solid and liquid in a phase-field model with finite interface thickness for isothermal solidification in binary alloys. Phys Rev E, 1998, 58(3): 3316–3323

    Article  Google Scholar 

  10. Kim S G, Kim W T, Suzuki T. Phase-field model for binary alloys. Phys Rev E, 1999, 60(6): 7186–7197

    Article  Google Scholar 

  11. Karma A. Phase-field formulation for quantitative modeling of alloy solidification. Phys Rev Lett, 2001, 87(11): 115701

    Article  Google Scholar 

  12. Karma A, Rappel W J. Quantitative phase-field modeling of dendritic growth in two and three dimensions. Phys Rev E, 1998, 57(4): 4323–4349

    Article  MATH  Google Scholar 

  13. Beckermann C, Diepers H-J, Steinbach I, et al. Modeling melt convection in phase-field simulations of solidification. J Comput Phys, 1999, 154: 468–496

    Article  MATH  Google Scholar 

  14. Lan C W, Shih C J. Phase field simulation of non-isothermal free dendritic growth of a binary alloy in a forced flow. J Cryst Growth, 2004, 264: 472–482

    Article  Google Scholar 

  15. Nestler B, Choudhury A. Phase-field modeling of multi-component systems. Curr Opin Solid St M, 2011, 15: 93–105

    Article  Google Scholar 

  16. Nestler B, Garcke H, Stinner B. Multicomponent alloy solidification: Phase-field modeling and simulations. Phys Rev E, 2005, 71(4): 041609

    Article  Google Scholar 

  17. Zhang R J, Li M, Allison J. Phase-field study for the influence of solute interactions on solidification process in multicomponent alloys. Comp Mater Sci, 2010, 47: 832–838

    Article  Google Scholar 

  18. Warren J, Boettinger W. Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method. Acta Metall Mater, 1995, 43: 689–703

    Article  Google Scholar 

  19. Loginova I, Amberg G, Agren J. Phase-field simulations of non-iso-thermal binary alloy solidification. Acta Mater, 2001, 49: 573–581

    Article  Google Scholar 

  20. Tang J, Xue X. Phase-field simulation of directional solidification of a binary alloy under different boundary heat flux conditions. J Mater Sci, 2009, 44: 745–753

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Science, Key Laboratory of Space Applied Physics and Chemistry, Ministry of Education, Northwestern Polytechnical University, Xi’an, 710072, China

    LiFei Du, Rong Zhang & LiMin Zhang

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  1. LiFei Du
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  2. Rong Zhang
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  3. LiMin Zhang
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Correspondence to LiFei Du.

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Du, L., Zhang, R. & Zhang, L. Phase-field simulation of dendritic growth in a forced liquid metal flow coupling with boundary heat flux. Sci. China Technol. Sci. 56, 2586–2593 (2013). https://doi.org/10.1007/s11431-013-5306-2

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  • DOI: https://doi.org/10.1007/s11431-013-5306-2

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