Localized Morphologies Observed in Directional Solidification of Binary Alloys into Three-Dimensional Flows

2001 ◽  
pp. 5-12
Author(s):  
B. Billia ◽  
N. Bergeon ◽  
D. Benielli ◽  
Y. Dabo ◽  
R. Guerin ◽  
...  
Keyword(s):  
Directional Solidification ◽  
Binary Alloys ◽  
Three Dimensional

Two- and three-dimensional simulations of the phase separation of elastically coherent binary alloys subject to external stresses

2000 ◽  
Vol 62 (5) ◽  
pp. 3160-3168 ◽  
Author(s):  
Daniel Orlikowski ◽  
Celeste Sagui ◽  
Andrés M. Somoza ◽  
Christopher Roland
Keyword(s):  
Phase Separation ◽  
Binary Alloys ◽  
Three Dimensional ◽  
External Stresses ◽  
Three Dimensional Simulations

scholarly journals Directional solidification of a binary alloy into a cellular convective flow: localized morphologies

1999 ◽  
Vol 395 ◽  
pp. 253-270 ◽  
Author(s):  
Y.-J. CHEN ◽  
S. H. DAVIS
Keyword(s):  
Directional Solidification ◽  
Binary Alloy ◽  
Temporal Dynamics ◽  
Three Dimensional ◽  
Multiple Scale ◽  
Solute Diffusion ◽  
Two Dimensional ◽  
Morphological Instability ◽  
Flow Strength ◽  
Weakly Nonlinear

A steady, two-dimensional cellular convection modifies the morphological instability of a binary alloy that undergoes directional solidification. When the convection wavelength is far longer than that of the morphological cells, the behaviour of the moving front is described by a slow, spatial–temporal dynamics obtained through a multiple-scale analysis. The resulting system has a parametric-excitation structure in space, with complex parameters characterizing the interactions between flow, solute diffusion, and rejection. The convection in general stabilizes two-dimensional disturbances, but destabilizes three-dimensional disturbances. When the flow is weak, the morphological instability is incommensurate with the flow wavelength, but as the flow gets stronger, the instability becomes quantized and forced to fit into the flow box. At large flow strength the instability is localized, confined in narrow envelopes. In this case the solutions are discrete eigenstates in an unbounded space. Their stability boundaries and asymptotics are obtained by a WKB analysis. The weakly nonlinear interaction is delivered through the Lyapunov–Schmidt method.

Three-dimensional cellular instabilities in directional solidification considering interfacial kinetics

1997 ◽  
Vol 55 (2) ◽  
pp. 824-836 ◽  
Author(s):  
Hwei-Yen Yang ◽  
Chi-Chuan Hwang ◽  
Yong-Yuan Luo ◽  
Jin-Yuan Hsieh
Keyword(s):  
Directional Solidification ◽  
Three Dimensional ◽  
Interfacial Kinetics
Sign in / Sign up

Export Citation Format

Share Document