The interactive dynamics of flow and directional solidification in a Hele-Shaw cell. Part 2. Stability analysis and nonlinear simulations

Journal of Fluid Mechanics

Volumn 470, Issue , 2002, Pages 269-290

  Buddhavarapu, Sudhir S ^a   Meiburg, Eckart ^a,b  

^a University of Southern California ^*  (United States)

^b University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY ALLOYS; BOUNDARY LAYERS; COMPUTER SIMULATION; INTERFACES (MATERIALS); SOLIDIFICATION;

WAVENUMBERS;

POTENTIAL FLOW;

DYNAMICS; NON-LINEAR SYSTEM; SOLIDIFICATION; STABILITY;

EID: 0037058347     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112002001933     Document Type: Article

References (39)

1. The effect of rapid solidification velocity on the microstructure of Ag-Cu alloys
2. Flow-induced morphological instabilities: The rotating disc
3. Flow-induced morphological instabilities: Stagnation point flows
4. Flow-induced changes of the morphological stability in directional solidification: Localized morphologies
5. Solutal convection and morphological instability in directional solidification of binary alloys
6. Solutal convection and morphological instability in directional solidification of binary alloys II: Effect of the density difference between the two phases
7. Directional solidification of a binary alloy into a cellular convective flow: Localized morphologies
8. Effect of a forced Couette flow on coupled convective and morphological instabilities during unidirectional solidification
9. Two-dimensional solidification and melting in potential flows
10. The effect of shear flows on solidification microstructure
11. Fluid flow and microstructure development
12. Hydrodynamic interactions in directional solidification
13. Effects of flow on morphological stability
14. Theory of stability of a solid-liquid interface during growth from stirred melts
15. Theory of stability of a solid-liquid interface during growth from stirred melts. II
16. Hydrodynamic and morphological stability of the unidirectional solidification of a freezing binary alloy: A simple model
17. Coupled convective and morphological instability in a simple model of the solidification of a binary alloy, including a shear flow
18. Interactions of flows with crystal-melt interface
19. Long-wave instabilities in directional solidification with remote flow
20. Dispersion in tracer flow in fractured geothermal systems
21. Interface stability during solidification of a stirred binary-alloy melt
22. Control of diameter in Czochralski and related crystal growth techniques
23. Instabilities and pattern formation in crystal growth
24. Compact finite difference schemes with spectral-like resolution
25. Stability of a planar interface during solidification of a dilute binary alloy
26. Miscible quarter five-spot displacements in a Hele-Shaw cell and the role of flow-induced dispersion
27. The influence of oscillatory and steady shears on interfacial stability during directional solidification
28. Shear stabilization of morphological instability during directional solidification
29. Shear stabilization of a solidifying front: Weakly nonlinear analysis in a longwave limit
30. Morphological stability
31. Velocity and shape selection of dendritic crystals in a forced flow
32. Phasefield simulation of dendritic growth in a shear flow
33. Dendritic growth of randomly oriented nuclei in a shear flow
34. The interactive dynamics of flow and directional solidification in a Hele-Shaw cell. Part 1. Experimental investigation of parallel shear flow