One-dimensional solidification of an alloy with a mushy zone: Thermodiffusion and temperature-dependent diffusivity

Journal of Fluid Mechanics

Volumn 527, Issue , 2005, Pages 57-66

  Alexandrov, Dmitri V ^a   Aseev, D L ^a  

^a URAL FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ALLOYS; FLUID MECHANICS; MASS TRANSFER; SOLIDIFICATION;

MUSHY ZONES; SOLUTE DIFFUSION; SORET EFFECTS; THERMOPHYSICAL PARAMETERS;

THERMAL DIFFUSION;

FLUID MECHANICS;

EID: 17044408393     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004003052     Document Type: Article

References (26)

1. Alexandrov, D. V. 2000 Linear analisis of dinamic instability of solidification with a quasiequilibrium mushy zone. Intl J. Fluid Mech. Res. 27, 239-247.
2. Alexandrov, D. V. 2001 Solidification with a quasiequilibrium mushy region: analytical solution of nonlinear model. J. Cryst. Growth 222, 816-821.
3. Alexandrov, D. V. 2004 A nonlinear instability analysis of crystallization processes with a two-phase zone. J. Metastable Nanocrystalline Mater. 20-21, 468-475.
4. Anderson, D. & Worster M. G. 1995 Weakly-nonlinear analisis of convection in a mushy layer during the solidification of binary alloy. J. Fluid Mech. 302, 307-331.
5. Anderson, D. & Worster M. G. 1996 A new oscillatory instability in a mushy layer during the solidification of binary alloy. J. Fluid Mech. 307, 245-267.
6. Batchelor, G. K. 1974 Transport properties of two-phase materials with random structure. Annu. Rev. Fluid Mech. 6, 227-255.
7. Borisov, V. T. 1987 Theory of Two-phase (mushy) Zone of a Metal Ingot Metallurgiya Publishing House, Moscow.
8. Bruson, A. & Gerl, M. 1980 Diffusion coefficient of Sn, Sb, Ag and Au in liquid Sn. Phys. Rev. B 21, 5447-5454.
9. Buyevich, Yu. A., Alexandrov, D. V. & Mansurov, V. V. 2001 Macrokinetics of Crystallization. Begell House, New-York-Wallingford.
10. Fowler, A. C. 1985 The formation of freckles in binary alloys. IMA J. Appl. Maths 35, 159-174.
11. Hills, R. N., Loper, D. E. & Roberts, P. H. 1983 A thermodynamically consistent model of a mushy zone. Q. J. Mech. Appl. Math. 36 505-539.
12. Hollinger, St. & Lücke, M. 1995 Influence of the Dufour effect on convection in binary gas mixtures. Phys. Rev. E 52, 642-657.
13. Huppert, E. H. & Worster, M. G. 1985 Dynamic solidification of a binary melt. Nature 314, 703-707.
14. Ivantsov, G. P. 1951 The diffusion supercooling in crystallization of a binary mixture. Dokl. Akad. Nauk SSSR 81, 179-182.
15. Kerr, R. C., Woods, A. W., Worster, M. G. & Huppert, H. E. 1990a Solidification of an alloy cooled from above. Part 1. Equilibrium growth. J. Fluid Mech. 216, 323-342.
16. Kerr, R. C., Woods, A. W., Worster, M. G. & Huppert, H. E. 1990b Solidification of an alloy cooled from above. Part 2. Non-equilibrium interfacial kinetics. J. Fluid Mech. 217, 331-348.
17. Kerr, R. C., Woods, A. W., Worster, M. G. & Huppert, H. E. 1990c Solidification of an alloy cooled from above. Part 3. Compositional stratification within the solid. J. Fluid Mech. 218, 337-354.
18. Kubicek, P. & Mrazek, L. 2001 Thermodiffusion and vaporization of metall from levitated droplet V. Czech. J. Phys. 46, 567-580.
19. 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.
20. Praizey, J. P. 1989 Benefits of microgravity for measuring thermotransport coefficients in liquid metallic alloys Intl J. Heat Mass Transfer 32, 2385-2401.
21. Van Vaerenbergh, S., Coriell, S. R. & McFadden, G. B. 2001 Morphological stability of a binary alloy: thermodiffusion and temperature-dependent diffusivity. J. Cryst. Growth 223, 565-572.
22. Van Vaerenbergh, S., Coriell, S. R., McFadden G. B., Murray B. T. & Legros, J. C. 1995 Modification of morphological stability by Soret diffusion. J. Cryst. Growth 147, 207-214.
23. Van Vaerenbergh, S., Garandet, J. P., Praizey J. P. & Legros, J. C. 1998 Reference Soret coefficients of natural isotopes and diluted alloys of tin. Phys. Rev. E 58, 1866-1873.
24. Van Vaerenbergh, S., Legros, J. C. & Hennenberg, M. 1996 Oscillations induced by purely diffusive processes in planar directional solidification from the melt. J. Cryst. Growth 158, 369-376.
25. Wollkind, D. J. & Segel, L. A. 1970 A nonlinear stability analisis of the freezing of a dilute binary alloy. Phil. Trans. R. Soc. Lond. A 268, 351-380.
26. Worster, M. G. 1986 Solidification of an alloy from a cooled boundary. J. Fluid Mech. 167, 481-501.