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TECHNICAL PAPERS: Heat Transfer in Manufacturing

Bridgman Crystal Growth of an Alloy With Thermosolutal Convection Under Microgravity Conditions

[+] Author and Article Information
James E. Simpson, Suresh V. Garimella

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907-1288e-mail: sureshg@ecn.purdue.edu

Henry C. de Groh

NASA Glenn Research Center, Cleveland, OH 44135

Reza Abbaschian

Department of Materials Science and Engineering, University of Florida, Gainesville, FL 32611

J. Heat Transfer 123(5), 990-998 (Mar 13, 2001) (9 pages) doi:10.1115/1.1389058 History: Received October 25, 1999; Revised March 13, 2001
Copyright © 2001 by ASME
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References

Abbaschian, R., Gokhale, A. B., Favier, J. J., and Coriell, S. R., 1992, “In-Situ Monitoring of Crystal Growth Using MEPHISTO,” NASA Science Requirements Document (SRD), NASA.
Abbaschian, R., 1996, In-Situ Monitoring of Crystal Growth Using MEPHISTO: Revised Science Requirements Document (RSRD) for the Re-flight of MEPHISTO aboard USMP-4, NASA.
Yeoh,  G. H., de Vahl Davis,  G., Leonardi,  E., de Groh,  H. C., and Yao,  M., 1997, “A Numerical and Experimental Study of Natural Convection and Interface Shape in Crystal Growth,” J. Cryst. Growth, 173, pp. 492–502.
Yao,  M., and de Groh,  H. C., 1993, “Three-Dimensional Finite Element Method Simulation of Bridgman Crystal Growth and Comparison With Experiments,” Numer. Heat Transfer, Part A, 24, pp. 393–412.
de Groh III, H. C., and Yao, M., 1994, “Numerical and Experimental Study of Transport Phenomena in Directional Solidification of Succinonitrile,” Transport Phenomena in Solidification, ASME HTD-Vol. 284, pp. 227–243.
Yao, M., de Groh III, H. C., and Abbaschian, R., 1997, “Numerical Modeling of Solidification in Space With MEPHISTO-4 (Part 1),” 35th Aerospace Sciences Meeting and Exhibit, Reno, NV, Paper AIAA 97-0449.
de Groh III, H. C., and Nelson, E. S., 1994, “On Residual Acceleration During Space Experiments,” Heat Transfer in Microgravity Systems, ASME HTD-Vol. 290, pp. 23–33.
Yao, M., Raman, R., and de Groh III, H. C., 1995, “Numerical Simulation of Heat and Mass Transport During Space Crystal Growth With MEPHISTO,” NASA Technical Memorandum 107015, NASA.
Kurz, W., and Fisher, D. J., 1989, Fundamentals of Solidification, Trans Tech Publications.
Alexander,  J. I. D., Ouazzani,  J., and Rosenberger,  F., 1989, “Analysis of the Low Gravity Tolerance of Bridgman-Stockbarger Crystal Growth,” J. Cryst. Growth, 97, pp. 285–302.
Simpson, J. E., Yao, M., de Groh III, H. C., and Garimella, S. V., 1998, “Numerical Modeling of Solidification in Space With MEPHISTO-4 (Part 2),” NASA Technical Memorandum TM-1998-206630, NASA.
Adornato,  P. M., and Brown,  R. A., 1987, “Convection and Segregation in Directional Solidification of Dilute and Non-Dilute Binary Alloys,” J. Cryst. Growth, 80, pp. 155–190.
Liang,  M. C., and Lan,  C. W., 1996, “Three-Dimensional Convection and Solute Segregation in Vertical Bridgman Crystal Growth,” J. Cryst. Growth, 167, pp. 320–332.
Simpson,  J. E., and Garimella,  S. V., 1998, “An Investigation of the Solutal, Thermal and Flow Fields in Unidirectional Alloy Solidification,” Int. J. Heat Mass Transf., 41, pp. 2485–2502.
Timchenko,  V., Chen,  P. Y. P., Leonardi,  E., de Vahl Davis,  G., and Abbaschian,  R., 2000, “A Computational Study of Transient Plane Front Solidification of Alloys in a Bridgman Apparatus Under Microgravity Conditions,” Int. J. Heat Mass Transf., 43, pp. 963–980.
Zeng,  X., and Faghri,  A., 1994, “Temperature-Transforming Model for Binary Solid–Liquid Phase-Change Problems: Part 1—Mathematical Modeling and Numerical Methodology,” Numer. Heat Transfer, Part B, 25, pp. 467–480.
Swaminathan,  C. R., and Voller,  V. R., 1997, “Towards a General Numerical Scheme for Solidification Systems,” Int. J. Heat Mass Transf., 30, pp. 2859–2868.
Voller,  V. R., Brent,  A. D., and Prakash,  C., 1989, “The Modeling of Heat, Mass and Solute Transport in Solidification Systems,” Int. J. Heat Mass Transf., 32, pp. 1719–1731.
Simpson,  J. E., and Garimella,  S. V., 2000, “The Influence of Gravity Levels on the Horizontal Bridgman Crystal Growth of an Alloy,” Int. J. Heat Mass Transf., 43, pp. 1905–1923.
Timchenko, V., Leonardi, E., and de Vahl Davis, G., 1997, “FRECON3V User’s Manual,” University of New South Wales, School of Mechanical and Manufacturing Engineering, Report 1997/FMT/1, and FRECON3V Programmer’s Manual, Report 1997/FMT/2.
Samarskii,  A. A., and Andreyev,  V. B., 1963, “On a High-Accuracy Difference Scheme for an Elliptic Equation With Several Space Variables,” USSR Comput. Math. Math. Phys., 3, pp. 1373–1382.
Hirt,  C. W., and Nichols,  B. D., 1981, “Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries,” J. Comput. Phys., 39, pp. 210–225.
Ferziger, J. H., and Perić, M., 1996, Computational Methods for Fluid Dynamics, Springer-Verlag, New York.
Smith,  V. G., Tiller,  W. A., and Rutter,  J. W., 1955, “A Mathematical Analysis of Solute Redistribution During Solidification,” Can. J. Phys., 33, pp. 723–743.

Figures

Grahic Jump Location
Schematic of the Bridgman crystal growth process and furnace temperature profile
Grahic Jump Location
Velocity vectors and isotherms for the Bridgman growth of pure bismuth at (a) 3000, (b) 6000, and (c) 9000 s. The thick solid line indicates the location of the solid/liquid interface. The velocity vectors are shown at every third location in the x-direction.
Grahic Jump Location
Traces of solute concentration across the solidified material at various x-locations for Bi-0.1 at.% Sn. The dotted lines correspond to diffusion only (no convection) results.
Grahic Jump Location
Longitudinal solute concentration traces at three different y-locations for Bi-0.1 at.% Sn
Grahic Jump Location
Velocity vectors and isotherms for the Bridgman growth of Bi-1.0 at.% Sn at (a) 3000, (b) 6000, and (c) 9000 s. The thick solid line indicates the location of the solid/liquid interface. A primary counter-clockwise convective cell is evident in all three panels. A secondary clockwise cell, driven by solutal gradients, develops with time.
Grahic Jump Location
Traces of solute concentration across the solidified material at various x-locations for Bi-1.0 at.% Sn. The dotted lines correspond to diffusion only (no convection) results.
Grahic Jump Location
Longitudinal solute concentration traces at three different y-locations for Bi-1.0 at.% Sn
Grahic Jump Location
A comparison of average concentration values in the solidified material. The solid line is the one-dimensional analytical result of Smith et al. 24.
Grahic Jump Location
A comparison of numerically predicted and experimentally measured concentration values for the Bridgman growth of Bi-1.0 at.% Sn. The numerical results are shown for simulations with and without the effect of concentration-dependent melting temperature being included. Reasonable agreement is observed between experimental data and numerical results including concentration-dependent melting temperature.

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