Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Effect of Convection on the Solidification Microstructure of Hyper-Peritectic Systems

과포정계 합금의 응고조직에 미치는 대류의 영향

  • Published : 2001.07.01
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Abstract

This study has examined the microstructural development in the Bridgman type directional solidification of hyper-peritectic Sn-Cd alloys, and the temperature and flow field have been numerically simulated to see if there is any change induced by convection. The directional solidification experiments carried out in quartz tubes with inside diameters of 0.4∼6mm showed that the resulting microstructures are clearly dependent on the size of tube diameters. The bigger ampoules where the effect of convection is highly expected produced saw-like structures resulting from the primary $\alpha$ and peritectic $\beta$ phase growing together at a planar solid-liquid front, with the former being surrounded by the latter. In the smaller ampoules, where the effect of convection is expected low however, the saw structure disappears, and as is understood from the theoretical prediction based on diffusion-controlled solidification the initial growth of the primary $\alpha$ phase is replaced by the nucleation of the peritectic $\beta$ phase whose growth continues to the end of the solidification.

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References

  1. Kurz, W., Fisher, D. J., 1989, Fundamentals of Solidification, 3rd ed. Trans Tech Publications
  2. Chang, C. J., Brown, R. A., 1983, 'Radial Segregation Induced by Natural Convection and Melt/Solid Interface Shape in Vertical Bridgman Growth,' J. Crystal Growth, Vol. 63, pp. 343-364 https://doi.org/10.1016/0022-0248(83)90225-7
  3. Carlson, E. M., Fripp, A. L. and Crouch, R. K., 1984, 'Thermal Convection during Bridgman Crystal Growth,' J. Crystal Growth, Vol. 68, pp. 747-756 https://doi.org/10.1016/0022-0248(84)90114-3
  4. Kuppurao, S., Brandon, S. and Derby, J. J., 1995, 'Modeling the Vertical Bridgman Growth of Cadmium Zine Telluride: Ⅰ. Quasi-Steady Analysis of Heat Transfer and Convection,' J. Crystal Growth, Vol. 155, pp. 93-102 https://doi.org/10.1016/0022-0248(95)00219-7
  5. Chin, L. Y. and Carlson, F. M., 1983, 'Finite Element Analysis of the Control of Interface Shape in Bridgman Crystal Growth,' J. Crystal Growth, Vol. 62, pp. 561-567 https://doi.org/10.1016/0022-0248(83)90400-1
  6. Dutta, P. S., Bhat, H. L. and Kumar, V., 1995, 'Numerial Analysis of Melt-Solid Interface Shapes and Growth Rates of Gallium Antimonide in a Single-Zone Vertical Bridgman Furnace,' J. Crystal Growth, Vol. 154, pp. 213-222 https://doi.org/10.1016/0022-0248(95)00152-2
  7. Morvan, D., Ganaoui, M. E. and Bontoux, P., 1999, 'Numerical Simulation of a 2-D Crystal Growth Problem in Vertical Bridgman - Stockbarger Furnace: Latent Heat Effect and Crystal-Melt Interface Morphology,' Int. J. Heat Mass Transfer, Vol. 42, pp. 573-579 https://doi.org/10.1016/S0017-9310(98)00141-0
  8. 김한상, 김민수, 노승탁, 김학민, 1990, '원봉의 일방향 응고과정에 대한 수치해석,' 대한기계학회논문집, Vol. 14, No. 4, pp. 1033-1041
  9. 정재동, 유호선, 이준식, 1998, 'An Extended Analytical Solution for the Mixture Solidification Problem,' 대한기계학회논문집, Vol. 22, No. 2, pp. 184-192
  10. Park, J. S. and Trivedi, R., 1998, 'Convection- Induced Novel Oscillating Microstructure Formation in Peritectic Systems,' J. Crystal Growth, Vol. 187, pp. 511-515 https://doi.org/10.1016/S0022-0248(97)00884-1
  11. Wang, C. A. and Witt, A. F., 1984, 'Analysis of Crystal Growth Characteristics in a Conventional Vertical Bridgman Configyration,' J. Crystal Growth, Vol. 66, pp. 299-308 https://doi.org/10.1016/0022-0248(84)90212-4
  12. Watring, D. A. and Lehoczky, S. L., 1996, 'Magneto-Hydrodynamic Damping of Convection During Vertical Bridgman - Stockbarger Growth of HgCdTe,' J. Crystal Growth, Vol. 167, pp. 478-487 https://doi.org/10.1016/0022-0248(96)00279-5
  13. 문승재, 노승탁, 1995, 'Effects of Angular Velocity Change on the Flow Field and Heat Transfer in the Bridgman Crystal Growth Process,' 대한기계학회논문집, Vol. 19, No. 3, pp. 771-783
  14. Oreper, G. M. and Szekely, J., 1984, 'The Effect of a Magnetic Field on Transport Phenomena in a Bridgman-Stockbarger Crystal Growth,' J. Crystal Growth, Vol. 67, pp. 405-419 https://doi.org/10.1016/0022-0248(84)90033-2
  15. Kim, D. H., Adornato, P. M. and Brown, R. A., 1988, 'Effect of Vertical Magnetic Field on Convection and Segregation in Vertical Bridgman Crystal Growth,' J. Crystal Growth, Vol. 89, pp. 339-356 https://doi.org/10.1016/0022-0248(88)90419-8
  16. Trivedi, R., 1995, Metall. Mater. Trans. A, Vol. 26A, pp. 1583-1589 https://doi.org/10.1007/BF02647608
  17. McFadden, G. B. and Coriell, S. R., 1987, 'Thermosolutal Convection During Directional Solidification. Ⅱ.Flow Transitions,' Phys. Fluids, Vol. 30, No. 3, pp. 659-671 https://doi.org/10.1063/1.866370
  18. McFadden, G. B., Coriell, S. R. and Boisvert, R. F., 1985, 'Double-Diffusive Convection with Sidewalls,' Phys. Fluids, Vol. 28, No. 9, pp. 2716-2722 https://doi.org/10.1063/1.865229
  19. Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Wachington, DC. Hemishere
  20. Kim, C. J. and Ro, S. T., 1995, 'A block-Correction Aided Strongly Implicit Solver for the Five-Point Formulation of Elliptic Differential Equations,' Int. J. Heat Mass Transfer, Vol. 38, No. 6, pp. 999-1008 https://doi.org/10.1016/0017-9310(94)00223-I