Skip to main content
Top
Published in: Metallurgical and Materials Transactions B 6/2014

01-12-2014

Phase-Field Simulation of Concentration and Temperature Distribution During Dendritic Growth in a Forced Liquid Metal Flow

Authors: Lifei Du, Rong Zhang

Published in: Metallurgical and Materials Transactions B | Issue 6/2014

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A phase-field model with convection is employed to investigate the effect of liquid flow on the dendritic structure formation of a Ni-Cu alloy during rapid solidification. Temperature and solute diffusion are significantly changed with induced liquid metal flow, and distribution changes of concentration and temperature are also analyzed and discussed. The solute segregation is affected due to the concentration diffusion layer thickness change caused by the liquid flow. The flow reduces the solute segregation in the upstream and leads to a fast dendrite growing, while solidifying in the downstream gets constrained with the large solute diffusion layer. Increasing flow velocity increases the asymmetry of dendrite morphology with much more suppressed growth in the downstream. The temperature distribution is also asymmetrical due to the non-uniform latent heat released during solidification coupling with heat diffusion changed by the liquid flow. Therefore, the forced liquid flow significantly affects the dendrite morphology, concentration, and temperature distributions in the solidifying microstructure.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
2.
4.
go back to reference J.A. Warren and W.J. Boettinger: Acta Metall. Mater., 1995, vol. 43, pp. 689–703.CrossRef J.A. Warren and W.J. Boettinger: Acta Metall. Mater., 1995, vol. 43, pp. 689–703.CrossRef
5.
6.
go back to reference S.G. Kim, W.T. Kim, and T. Suzuki: Phys. Rev. E, 1999, vol. 60, pp. 7186–97.CrossRef S.G. Kim, W.T. Kim, and T. Suzuki: Phys. Rev. E, 1999, vol. 60, pp. 7186–97.CrossRef
8.
go back to reference I. Loginova, G. Amberg, and J. Agren: Acta Mater., 2001, vol. 49, pp. 573–81.CrossRef I. Loginova, G. Amberg, and J. Agren: Acta Mater., 2001, vol. 49, pp. 573–81.CrossRef
9.
go back to reference J.A. Warren, R. Kobayashi, A.E. Lobovsky, and W.C. Carter: Acta Mater., 2003, vol. 51, pp. 6035–58.CrossRef J.A. Warren, R. Kobayashi, A.E. Lobovsky, and W.C. Carter: Acta Mater., 2003, vol. 51, pp. 6035–58.CrossRef
10.
11.
go back to reference J.J. Li, J.C. Wang, and G.C. Yang: J. Cryst. Growth, 2007, vol. 309, pp. 65–69.CrossRef J.J. Li, J.C. Wang, and G.C. Yang: J. Cryst. Growth, 2007, vol. 309, pp. 65–69.CrossRef
12.
go back to reference Z.J. Wang, J.J. Li, J.C. Wang, and Y.H. Zhou: Acta Mater., 2012, vol. 60, pp. 1957–64.CrossRef Z.J. Wang, J.J. Li, J.C. Wang, and Y.H. Zhou: Acta Mater., 2012, vol. 60, pp. 1957–64.CrossRef
13.
14.
go back to reference B. Nestler, H. Garcke, and B. Stinner: Phys. Rev. E, 2005, vol. 71, p. 041609.CrossRef B. Nestler, H. Garcke, and B. Stinner: Phys. Rev. E, 2005, vol. 71, p. 041609.CrossRef
15.
go back to reference Y.L. Huang, A. Bracchi, T. Niermann, M. Seibt, D. Danilov, B. Nestler, and S. Schneider: Scripta Mater., 2005, vol. 53, pp. 93–97.CrossRef Y.L. Huang, A. Bracchi, T. Niermann, M. Seibt, D. Danilov, B. Nestler, and S. Schneider: Scripta Mater., 2005, vol. 53, pp. 93–97.CrossRef
16.
go back to reference R.J. Zhang, M. Li, and J. Allison: Comput. Mater. Sci., 2010, vol. 47, pp. 832–38.CrossRef R.J. Zhang, M. Li, and J. Allison: Comput. Mater. Sci., 2010, vol. 47, pp. 832–38.CrossRef
17.
go back to reference B. Nestler and A. Choudhury: Curr. Opin. Solid State Mater. Sci., 2011, vol. 15, pp. 93–105.CrossRef B. Nestler and A. Choudhury: Curr. Opin. Solid State Mater. Sci., 2011, vol. 15, pp. 93–105.CrossRef
18.
go back to reference L.F. Du, R. Zhang, L.M. Zhang, and L. Liu: in The 8th Pacific Rim International Congress on Advanced Materials and Processing, ed. F. Marquis, Wiley, New York, 2013, pp. 2765–72. L.F. Du, R. Zhang, L.M. Zhang, and L. Liu: in The 8th Pacific Rim International Congress on Advanced Materials and Processing, ed. F. Marquis, Wiley, New York, 2013, pp. 2765–72.
19.
go back to reference A. Bogno, G. Reinhart, A. Buffet, H.N. Thi, B. Billia, T. Schenk, N. Mangelinck-Noel, N. Bergeon, and J. Baruchel: J. Cryst. Growth, 2011, vol. 318, pp. 1134–38.CrossRef A. Bogno, G. Reinhart, A. Buffet, H.N. Thi, B. Billia, T. Schenk, N. Mangelinck-Noel, N. Bergeon, and J. Baruchel: J. Cryst. Growth, 2011, vol. 318, pp. 1134–38.CrossRef
20.
go back to reference A. Bogno, H. Nguyen-Thi, A. Buffet, G. Reinhart, B. Billia, N. Mangelinck-Noel, N. Bergeon, J. Baruchel, and T. Schenk: Acta Mater., 2011, vol. 59, pp. 4356–65.CrossRef A. Bogno, H. Nguyen-Thi, A. Buffet, G. Reinhart, B. Billia, N. Mangelinck-Noel, N. Bergeon, J. Baruchel, and T. Schenk: Acta Mater., 2011, vol. 59, pp. 4356–65.CrossRef
21.
go back to reference N. Bergeon, A. Ramirez, L. Chen, B. Billia, J.H. Gu, and R. Trivedi: J. Mater. Sci., 2011, vol. 46, pp. 6191–202.CrossRef N. Bergeon, A. Ramirez, L. Chen, B. Billia, J.H. Gu, and R. Trivedi: J. Mater. Sci., 2011, vol. 46, pp. 6191–202.CrossRef
22.
go back to reference Y. Chen, A.A. Bogno, N.M. Xiao, B. Billia, X.H. Kang, H. Nguyen-Thi, X.H. Luo, and D.Z. Li: Acta Mater., 2012, vol. 60, pp. 199–207.CrossRef Y. Chen, A.A. Bogno, N.M. Xiao, B. Billia, X.H. Kang, H. Nguyen-Thi, X.H. Luo, and D.Z. Li: Acta Mater., 2012, vol. 60, pp. 199–207.CrossRef
23.
go back to reference C. Beckermann, H.J. Diepers, I. Steinbach, A. Karma, and X. Tong: J. Comput. Phys., 1999, vol. 154, pp. 468–96.CrossRef C. Beckermann, H.J. Diepers, I. Steinbach, A. Karma, and X. Tong: J. Comput. Phys., 1999, vol. 154, pp. 468–96.CrossRef
24.
25.
26.
go back to reference C.W. Lan, M.H. Lee, M.H. Chuang, and C.J. Shih: J. Cryst. Growth, 2006, vol. 295, pp. 202–208.CrossRef C.W. Lan, M.H. Lee, M.H. Chuang, and C.J. Shih: J. Cryst. Growth, 2006, vol. 295, pp. 202–208.CrossRef
27.
28.
go back to reference D. Medvedev, T. Fischaleck, and K. Kassner: Phys. Rev. E, 2006, vol. 74, p. 031606.CrossRef D. Medvedev, T. Fischaleck, and K. Kassner: Phys. Rev. E, 2006, vol. 74, p. 031606.CrossRef
29.
go back to reference M. Amoorezaei, S. Gurevich, and N. Provatas: Acta Mater, 2010, vol. 58, pp. 6115–24.CrossRef M. Amoorezaei, S. Gurevich, and N. Provatas: Acta Mater, 2010, vol. 58, pp. 6115–24.CrossRef
30.
go back to reference R.Z. Xiao, Z.P. Wang, C.S. Zhu, W.S. Li, and L. Feng: Adv. Mater. Res. Switz., 2011, vol. 154–155, pp. 401–406. R.Z. Xiao, Z.P. Wang, C.S. Zhu, W.S. Li, and L. Feng: Adv. Mater. Res. Switz., 2011, vol. 154–155, pp. 401–406.
31.
go back to reference L.F. Du, R. Zhang, and L.M. Zhang: Sci. China Technol. Sci., 2013, vol. 56, pp. 2586–93.CrossRef L.F. Du, R. Zhang, and L.M. Zhang: Sci. China Technol. Sci., 2013, vol. 56, pp. 2586–93.CrossRef
32.
go back to reference W.J. Boettinger, J.A. Warren, C. Beckermann, and A. Karma: Annu. Rev. Mater. Res., 2002, vol. 32, pp. 163–94.CrossRef W.J. Boettinger, J.A. Warren, C. Beckermann, and A. Karma: Annu. Rev. Mater. Res., 2002, vol. 32, pp. 163–94.CrossRef
33.
go back to reference J.D. Anderson: Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill, New York, 1995. J.D. Anderson: Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill, New York, 1995.
34.
go back to reference A.A. Wheeler, W.J. Boettinger, and G.B. McFadden: Phys. Rev. A, 1992, vol. 45, pp. 7424–39.CrossRef A.A. Wheeler, W.J. Boettinger, and G.B. McFadden: Phys. Rev. A, 1992, vol. 45, pp. 7424–39.CrossRef
Metadata
Title
Phase-Field Simulation of Concentration and Temperature Distribution During Dendritic Growth in a Forced Liquid Metal Flow
Authors
Lifei Du
Rong Zhang
Publication date
01-12-2014
Publisher
Springer US
Published in
Metallurgical and Materials Transactions B / Issue 6/2014
Print ISSN: 1073-5615
Electronic ISSN: 1543-1916
DOI
https://doi.org/10.1007/s11663-014-0161-5

Other articles of this Issue 6/2014

Metallurgical and Materials Transactions B 6/2014 Go to the issue

Premium Partners