Nonlinear equations on controlling interface patterns during solidification of a dilute binary alloy
Article
Received:
- 12 Downloads
- 1 Citations
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 solidificationReferences
- 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.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.Li Rusheng,Nonequilibrium Thermodynamics and Dissipation Structure (in Chinese), Beijing: Qinghua University Press, 1986, 50–55.Google Scholar
- 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