Directional solidification of binary melts with a non-equilibrium mushy layer

International Journal of Heat and Mass Transfer

Volumn 49, Issue 25-26, 2006, Pages 4903-4909

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

^a URAL FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

Constitutional supercooling; Crystal growth; Mushy layer; Solidification

Indexed keywords

CRYSTAL GROWTH; DENSITY (SPECIFIC GRAVITY); PHASE TRANSITIONS; SOLIDIFICATION; SOLUTIONS; SUPERCOOLING;

BULK CRYSTALLIZATION; CONSTITUTIONAL SUPERCOOLING; MUSHY LAYERS;

BINARY ALLOYS;

BINARY ALLOYS; CRYSTAL GROWTH; DENSITY (SPECIFIC GRAVITY); PHASE TRANSITIONS; SOLIDIFICATION; SOLUTIONS; SUPERCOOLING;

EID: 33750346192     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2006.05.046     Document Type: Article

References (24)

1. Huppert E.H., and Worster M.G. Dynamic solidification of a binary melt. Nature 314 (1985) 703-707
2. Worster M.G. Solidification of an alloy from a cooled boundary. J. Fluid Mech. 167 (1986) 481-501
3. Parker R.L. Crystal Growth Mechanisms: Energetics Kinetics and Transport Solid State Physics vol. 25 (1970), Academic Press, New York and London
4. Carslaw H.S., and Jaeger J.C. Conduction of Heat in Solids (1959), Oxford University Press
5. Riley D.S., Smith F.T., and Poots G. The inward solidification of spheres and circular cylinders. Int. J. Heat Mass Transfer 17 (1974) 1507-1516
6. Ivantsov G.P. The diffusion supercooling in crystallization of a binary mixture. Dokl. Akad. Nauk. SSSR 81 (1951) 179-182
7. Hills R.N., Loper D.E., and Roberts P.H. A thermodynamically consistent model of a mushy zone. Quart. J. Mech. Appl. Mathematics 36 (1983) 505-539
8. Borisov V.T. Theory of Two-Phase (Mushy) Zone of a Metal Ingot (1987), Metallurgiya Publishing House, Moscow
9. Kerr R.C., Woods A.W., Worster M.G., and Huppert H.E. Solidification of an alloy cooled from above Part 1. Equilibrium growth. J. Fluid Mech. 216 (1990) 323-342
10. Alexandrov D.V. Solidification with a quasiequilibrium mushy region: analytical solution of nonlinear model. J. Cryst. Growth 222 (2001) 816-821
11. Alexandrov D.V. Solidification with a quasiequilibrium two-phase zone. Acta Mater. 49 (2001) 759-764
12. Alexandrov D.V., and Aseev D.L. One-dimensional solidification of an alloy with a mushy zone: thermodiffusion and temperature-dependent diffusivity. J. Fluid Mech. 527 (2005) 57-66
13. Buyevich Yu.A., Alexandrov D.V., and Mansurov V.V. Macrokinetics of Crystallization (2001), Begell House, New York, Wallingford
14. Buyevich Yu.A., and Alexandrov D.V. Heat Transfer in Dispersions (2005), Begell House Inc., New York, Wallingford
15. Batchelor G.K. Transport properties of two-phase materials with random structure. Annu. Rev. Fluid Mech. 6 (1974) 227-255
16. Scheil E. Bemerkungen zur schichtkiistallbildung. Z Metalld 34 (1942) 70-72
17. Flemings M.C. Solidification Processing (1974), McGrow-Hill Book Company, New York
18. Buyevich Yu.A., and Mansurov V.V. Kinetics of the intermediate stage of phase transition in batch crystallization. J. Cryst. Growth 104 (1990) 861-867
19. Zeldovich Ya.B. On the theory of formation of a new phase. Cavitation. Zh. Eksperiment. Tekhnich. Fiz. 12 (1942) 525-536
20. Frenkel J. Kinetic Theory of Liquids (1955), Dover, New York
21. Chernov A.A., Givargizov Ye.I., and Bagdasarov Kh.S. Modern crystallography. Crystallization Processes vol. 3 (1990), Nauka Publishing House, Moscow
22. Nayfen A.H. Introduction to perturbation techniques (1981), Wiley-Interscine Publication, New York, Chichester, Brisbane, Toronto
23. Fedoryuk M.V. Asymptotics Integrals and Series (1987), Nauka Publishing House, Moscow
24. Polyanin A.D., and Zaytsev V.F. Handbook of Exact Solutions for Ordinary Differential Equations (2001), CRC Press, Boca Raton New York