Measurement of the onset of two-dimensional cellular solidification in the succinonitrile—acetone binary alloy

1995 ◽  
Vol 154 (1-2) ◽  
pp. 205-210
Author(s):  
Yashen Xia ◽  
Robert A. Brown
Keyword(s):  
1999 ◽  
Vol 395 ◽  
pp. 253-270 ◽  
Author(s):  
Y.-J. CHEN ◽  
S. H. DAVIS

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.


2016 ◽  
Vol 442 ◽  
pp. 14-24 ◽  
Author(s):  
Tomohiro Takaki ◽  
Munekazu Ohno ◽  
Yasushi Shibuta ◽  
Shinji Sakane ◽  
Takashi Shimokawabe ◽  
...  

1997 ◽  
Vol 56 (9) ◽  
pp. 5261-5270 ◽  
Author(s):  
Marcel Porta ◽  
Carlos Frontera ◽  
Eduard Vives ◽  
Teresa Castán

1999 ◽  
Vol 59 (1) ◽  
pp. 512-527
Author(s):  
X. Feng ◽  
E. A. Brener ◽  
D. E. Temkin ◽  
Y. Saito ◽  
H. Müller-Krumbhaar

2007 ◽  
Vol 335 (5-6) ◽  
pp. 336-341 ◽  
Author(s):  
Xiao Dong Wang ◽  
Patrick Petitpas ◽  
Christian Garnier ◽  
Jean-Pierre Paulin ◽  
Yves Fautrelle

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