Solidification and compositional convection of a ternary alloy

Journal of Fluid Mechanics

Volumn 497, Issue , 2003, Pages 167-199

  Thompson, Andrew F ^a   Huppert, Herbert E ^a   Worster, M Grae ^a   Aitta, Anneli ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITION; COOLING; DIFFUSION; HEAT CONVECTION; SOLUTIONS; TERNARY SYSTEMS;

COMPOSITIONAL CONVECTION;

SOLIDIFICATION;

ALLOY; CONVECTION; FLUID FLOW; INDUSTRIAL APPLICATION; SOLIDIFICATION; TERNARY MIXTURE;

EID: 0842279681     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211200300661X     Document Type: Article

References (30)

1. AITTA, A., HUPPERT, H. E. & WORSTER, M. G. 2001a Solidification in ternary systems. In Interactive Dynamics of Convection and Solidification (ed. P. Ehrhard, D. S. Riley & P. H. Steen), pp. 113-122. Kluwer.
2. AITTA, A., HUPPERT, H. E. & WORSTER, M. G. 2001b Diffusion-controlled solidification of a ternary melt from a cooled boundary. J. Fluid Mech. 432, 201-217 (herein referred to as AHW).
3. ANDERSON, D. M. 2003 A model for diffusion-controlled solidification of ternary alloys in mushy layers. J. Fluid Mech. 483, 165-197.
4. BATCHELOR, C. K. 1974 Transport properties of two-phase materials with random structure. Annu. Rev. Fluid Mech. 6, 227-255.
5. BLOOMFIELD, L. J. & HUPPERT, H. E. 2003 Solidification and convection of a ternary solution cooled from the side. J. Fluid Mech. 489, 269-299.
6. CHEN, C. F. & CHEN, F. 1991 Experimental study of directional solidification of aqueous ammonium chloride solution. J. Fluid Mech. 227, 567-586.
7. COPLEY, S. M., GIAMEI, A. F., JOHNSON, S. M. & HORNBECKER, M. F. 1970 The origin of freckles in unidirectionally solidified castings. Metall. Trans. 1, 2193-2204.
8. FOWLER, A. C. 1985 The formation of freckles in binary alloys. IMA J. Appl. Maths 35, 159-174.
9. HUPPERT, H. E. 1990 The fluid mechanics of solidification. J. Fluid Mech. 212, 209-240.
10. HUPPERT, H. E. & SPARKS, R. S. J. 1980 Restrictions on the composition of mid-ocean ridge basalts: a fluid dynamical investigation. Nature 286, 46-48.
11. HUPPERT, H. E. & SPARKS, R. S. J. 1984 Double-diffusive convection due to crystallization in magmas. Annu. Rev. Earth Planet. Sci. Lett. 12, 11-37.
12. HUPPERT, H. E. & WORSTER, M. G. 1985 Dynamic solidification of a binary melt. Nature 314, 703-707.
13. HUPPERT, H. E. & WORSTER, M. G. 1991 Vigorous motions in magma chambers and lava lakes. IMA Proceedings-Preprint Series 862.
14. KERR, R. C., WOODS, A. W., WORSTER, M. G. & HUPPERT, H. E. 1990a Solidification of an alloy cooled from above. Part 2. Non-equilibrium interfacial kinetics. J. Fluid Mech. 217, 331-348.
15. KERR, R. C., WOODS, A. W., WORSTER, M. G. & HUPPERT, H. E. 1990b Solidification of an alloy cooled from above. Part 3. Compositional stratification within the solid. J. Fluid Mech. 218, 337-354.
16. LIDE, D. R. 1997 CRC Handbook of Chemistry and Physics, 78th Edn. CRC Press.
17. MULLINS, W. W. & SEKERKA, R. F. 1964 Stability of a planar interface during solidification of a dilute binary alloy. J. Appl. Phys. 35, 444-451.
18. PHILLIPS, O. M. 1991 Flow and Reactions in Permeable Rocks. Cambridge University Press.
19. SARAZIN, J. R. & HELLAWELL, A. 1992 Studies of channel-plume convection during solidification. In Interactive Dynamics of Convection and Solidification (ed. S. H. Davis, H. E. Huppert, U. Müller & M. G. Worster), pp. 143-145. Kluwer.
20. TAIT, S. & JAUPART, C. 1992 Compositional convection in a reactive crystalline mush and melt differentiation. J. Geophys. Res. 97, B5, 6735-6756.
21. THOMPSON, A. F., HUPPERT, H. E. & WORSTER, M. G. 2003 Appendix: A global conservation model for diffusion-controlled solidification of a ternary alloy. J. Fluid Mech. 483, 191-197.
22. TURNER, J. S., HUPPERT, H. E., & SPARKS, R. S. J. 1986 Komatiites II: Experimental and theoretical investigations of post-emplacement cooling and crystallization. J. Petrol. 27, 397-437.
23. WEST, D. R. F. 1982 Ternary Equilibrium Diagrams, 2nd Edn. Chapman and Hall.
24. WETTLAUFER, J. S., WORSTER, M. G. & HUPPERT, H. E. 1997 Natural convection during solidification of an alloy from above with application to the evolution of sea ice. J. Fluid Mech. 344, 291-316.
25. WETTLAUFER, J. S., WORSTER, M. G. & HUPPERT, H. E. 2000 The solidification of leads: Theory, experiment and field observations. J. Geophys. Res. 105, 1123-1134.
26. WOODS, A. W. & HUPPERT, H. E. 1989 The growth of compositionally stratified solid above a horizontal boundary. J. Fluid Mech. 199, 29-53.
27. WORSTER, M. G. 1990 Structure of a convecting mushy layer. Appl. Mech. Rev. 43, 5, S59-S62.
28. WORSTER, M. G. 1991 Natural convection in a mushy layer. J. Fluid Mech. 224, 335-359.
29. WORSTER, M. G. 1992 The dynamics of mushy layers. In Interactive Dynamics of Convection and Solidification (ed. S. H. Davis, H. E. Huppert, U. Müller & M. G. Worster), pp. 113-138. Kluwer.
30. WORSTER, M. G. 2000 Solidification of Fluids. In Perspectives in Fluid Dynamics (ed. G. K. Batchelor, H. K. Moffatt & M. G. Worster), pp. 393-446. Cambridge University Press.