Nonlinear equations on controlling interface patterns during solidification of a dilute binary alloy

  • Zidong Wang
  • Yongli Zhou
  • Guowei Chang
  • Hanqi Hu
Article

Abstract

In nonequilibrium nonlinear region, by assuming that there is local equilibrium at the solid/liquid interface, and considering that curvature, temperature and composition at the solid/liquid interface which are related to perturbation amplitude are nonlinear, nonlinear equations of the time dependence of the perturbation amplitude of the solid/liquid interface during solidification of a dilute binary alloy are established. Crystal growth from nonsteady state to steady state can be controlled by these nonlinear equations.

Keywords

nonequilibrium nonlinearity solidification 

References

  1. 1.
    Mullins, W. W., Sekerka, R. F., Stability of a plane interface during solidification of a dilute binary alloy,J. Applied. Phys., 1964, 35: 444.CrossRefGoogle Scholar
  2. 2.
    Wang Zidong, Hu Hanqi, Nonlinear dynamics theory on steady state interface pattern during solidification of a dilute binary alloy,Science in China, Ser. E, 1997, 40(2): 192.CrossRefGoogle Scholar
  3. 3.
    Li Rusheng,Nonequilibrium Thermodynamics and Dissipation Structure (in Chinese), Beijing: Qinghua University Press, 1986, 50–55.Google Scholar
  4. 4.
    Eshelman, M. A., Seetharaman, V., Trivedi, R., Cellular spacing—I. steady-state growth,Acta Met., 1988, 36(4): 1165.CrossRefGoogle Scholar

Copyright information

© Science in China Press 1999

Authors and Affiliations

  • Zidong Wang
    • 1
  • Yongli Zhou
    • 1
  • Guowei Chang
    • 1
  • Hanqi Hu
    • 1
  1. 1.School of Material Science and EngineeringUniversity of Science and Technology BeijingBeijingChina

Personalised recommendations