Advanced SearchSearch Tips
A Similarity Solution for the Directional Casting of Peritectic Alloys in the Presence of Shrinkage-Induced Flow
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
A Similarity Solution for the Directional Casting of Peritectic Alloys in the Presence of Shrinkage-Induced Flow
Yu, Ho-Seon; Jeong, Jae-Dong; Lee, Jun-Sik;
  PDF(new window)
This paper presents a similarity solution for the directional casting of binary peritectic alloys in the presence of shrinkage-induced flow. The present model retains essential ingredients of alloy solidification, such as temperature-solute coupling, macrosegregation, solid-liquid property differences, and finite back diffusion in the primary phase. An algorithm for simultaneously determining the peritectic and liquidus positions is newly developed, which proves to be more efficient and stable than the existing scheme. Sample calculations are performed for both hypo- and hyper-peritectic compositions. The results show that the present analysis is capable of properly resolving the solidification characteristics of peritectic alloys so that it can be used for validating numerical models as a test solution.
Binary Peritectic Alloy;Directional Casting;Similarity Solution;Shrinkage-Induced Flow;
 Cited by
Beckermann, C. and Viskanta, R., 1993, 'Mathematical Modeling of Transport Phenomena during Alloy Solidification,' Appl Mech Rev, Vol. 46, pp. 1-27

Ni, J. and Incropera, F. P., 1995, 'Extension of the Continuum Model for Transport Phenomena Occurring during Metal alloy Solidification-Ⅱ. Microscopic Considerations,' Int. J. Heat Mass Transfer, Vol. 38, pp. 1285-1296 crossref(new window)

Schneider, M. C. and Beckermann, C., 1995, 'Formation of Macrosegregation by Multicomponent Thermosolutal Convection during the Solidification of Steel,' Metall. Trans. A, Vol. 26A, pp. 2373-2388 crossref(new window)

Swaminathan, C. R. and Voller, V. R., 1997, 'Toward a General Numerical Scheme for Solidification Systems,' Int. J. Heat Mass Transfer, Vol. 40, pp. 2859-2868 crossref(new window)

Krane, M. J. M., Incropera, F. P. and Gaskell, D. R., 1997, 'Solidification of Ternary Metal Alloys-Ⅰ.Model Development,' Int. J. Heat Mass Transfer, Vol. 40, pp. 3827-3835 crossref(new window)

Krane, M. J. M. and Incropera, F. P., 1997, 'Solidification of Ternary Metal Alloys-Ⅱ.Predictions of Convective Phenomena and Solidification Behavior in Pb-Sb-Sn Alloys,' Int. J. Heat Mass Transfer, Vol. 40, pp. 3837-3847 crossref(new window)

Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere Publ., New York

Muehlbauer, J. C., Hatcher, J. D., Lyons, D. W. and Sunderland, J. E., 1973, 'Transient Heat Transfer Analysis of Alloy Solidification,' J. Heat Transfer, Vol. 95, pp. 324-331

Worster, M. G., 1986, 'Solidification of an Alloy from am Cooled Boundary,' J. Fluid Mech., Vol. 167, pp. 481-501 crossref(new window)

Braga, S. L. and Viskanta, R., 1990, 'Solidification of a Binary Alloy solution on a Cold Isothermal Surface,' Int. J. Heat Mass Transfer, Vol. 33, pp. 745-754 crossref(new window)

Chung, J. D., Lee, J. S., Ro, S. T. and Yoo, H., 1999, 'An Analytical Approach to the Conduction-Dominated Solidification of Binary Mixtures,' Int. J. Heat Mass Transfer, Vol. 42, pp. 373-377 crossref(new window)

Voller, V. R., 1997, 'A Similarity Solution for the Solidification a Multicomponent Alloy,' Int. J. Heat Mass Transfer, Vol. 40, pp. 2869-2877 crossref(new window)

정재동, 유호선, 이준식, 1998, '혼합물 응고문제에 대한 확장된 해석해,' 대한기계학회논문집(B), 제22권, 제2호, pp. 184-192

Kurz, W. and Fisher, D. J., 1989, Fundamentals of Solidification, Trans. Tech. Publication, Switzerland

Trivedi, R., 1995, 'Theory of Layered-Structure Formation in Peritectic Systems,' Metall. Mater. Trans. A, Vol. 26A, pp. 1583-1590 crossref(new window)

Zeisler-Mashl, K. L. and Lograsso, T. A., 1997, 'The Occurrence and Periodicity of Oscillating Peritectic Microstructures Developed during Directional Solidification,' Metall. Mater. Trans. A, Vol. 28A, pp. 1543-1552 crossref(new window)

Park, J.-S. and Trivedi, R., 1998, 'Convection-Induced Novel Oscillating Microstructure Formation in Peritectic Systems,' J. Crystal Growth, Vol. 187, pp. 511-515 crossref(new window)

Clyne, T. W. and Kurz, W., 1981, 'Solute Redistribution during Solidification with Rapid State Diffusion,' Metall. Trans. A, Vol. 12A, pp. 965-971 crossref(new window)

Ohno, A., 1976, The Solidification of Metals, Chijin Shokan, Japan

Ni, J. and Beckermann, C., 1991, 'A Volume-Averaged Two-Phase Model for Transport Phenomena during Solidification,' Metall. Trans. B, Vol. 22B, pp. 349-361 crossref(new window)

Touloukian, Y. S., Powell, R. W., Ho, C. Y. and Klemens, P. G., 1970, Thermophysical Properties of Matter, IFI/Plenum Press, New York/Washington

Kaviany, M., 1998, Principles of Heat Transfer, Curse Pack, University of Michigan

John, D. H. and Hogan, L. M., 1987, 'A simple Prediction of the Rate of the Peritectic Transformation,' Acta Metall., Vol. 35, pp. 171-174 crossref(new window)