A similarity solution for the solidification of a multicomponent alloy

International Journal of Heat and Mass Transfer

Volumn 40, Issue 12, 1997, Pages 2869-2877

  Voller, V R ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALLOYS; EUTECTICS; FLOW OF FLUIDS; MATHEMATICAL MODELS; SEGREGATION (METALLOGRAPHY); SOLIDIFICATION; TEMPERATURE;

EUTECTIC REACTION; MUSHY REGION; SIMILARITY SOLUTION; SOLUTE TEMPERATURE COUPLING;

NUMERICAL METHODS;

ALLOYS; FLUID FLOW; SOLIDIFICATION;

EID: 0031215120     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(96)00330-4     Document Type: Article

References (17)

1. Crank, J., Free and Moving Boundary Problems. Clarendon Press. Oxford, 1984.
2. Swaminathan, C. R. and Voller, V. R., Towards a general numerical scheme for solidification systems. International Journal of Heat and Mass Transfer, 1997, 40, 2859-2868.
3. Clyne, T. W. and Kurz, W., Solute redistribution during solidification with rapid state diffusion. Metallurgical Transactions A, 1981, 12, 965-971.
4. Chiareli, A. O. P. and Worster, M. G., On measurement and prediction of the solid fraction within mushy layers. Journal of Crystal Growth, 1992, 125, 487-494.
5. Goodman, T. R., The heat balance integral and its application to problems involving a change of phase. Transactions of ASME, 1958, 80, 335-342.
6. Tien, R. H. and Geiger. G. E., A heat-transfer analysis of the solidification of a binary eutectic system. Journal of Heat Transfer, 1967, 89, 230-234.
7. Tien, R. H. and Geiger, G. E., The uni-dimensional solidification of a binary eutectic system with a time-dependent surface temperature. Journal of Heat Transfer, 1968, 90, 27-31.
8. Cho, S. H. and Sunderland, J. E., Heat-conduction problems with melting or freezing. Journal of Heat Transfer, 1969, 91, 421-426.
9. Muehlbauer, J. C., Hatcher, J. D., Lyons, D. W. and Sunderland, J. E., Transient heat transfer analysis of alloy solidification. Journal of Heat Transfer, 1973, 95, 324-331.
10. Voller, V. R., Development and application of a heat balance integral method for analysis of metallurgical solidification. Applied Mathematics Modeling, 1989, 13, 3-11.
11. Flemings, M. C. and Nero, G. E., macro-segregation, part 1. Transactions of the Metallurgical Society AIME, 1968, 242, 41-49.
12. Rubinstein, Li, The Stefan problem. Transactions of Mathematical Monographs, Vol. 27. American Mathematical Societies, 1971.
13. Goodman, T. R., Discussion of a heat-transfer analysis of the solidification of a binary eutectic system. Journal of Heat Transfer, 1967, 89, 230-234.
14. Braga, S. L. and Viskanta, R., Solidification of a binary solution on a cold isothermal surface. International Journal of Heat and Mass Transfer, 1990, 33, 745-754.
15. Fang, L. J., Cheung, F. B., Linehan, J. H. and Pedersen, D. R., Selective freezing of a dilute salt solution on a cold ice surface. Journal of Heat Transfer, 1984, 106, 385-393.
16. Grae Worster, M., Solidification of an alloy cooled from a boundary. Journal of Fluid Mechanics, 1986, 167, 481-501.
17. Voller, V. R. and Sundarraj, S., A model of inverse segregation : the role of microporosity. International Journal of Heat and Mass Transfer, 1995, 38, 1009-1018.