Modeling of fluid flow and heat transfer in a hydrothermal crystal growth system: Use of fluid-superposed porous layer theory

Journal of Heat Transfer

Volumn 121, Issue 4, 1999, Pages 1049-1058

  Chen, Q S ^a   Prasad, V ^a   Chatterjee, A ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

Crystal growth; Heat transfer; Modeling; Natural convection; Porous media

Indexed keywords

CRYSTALLIZATION; FLUID FLOW; HEAT TRANSFER; MATHEMATICAL MODELING;

EID: 0033379873     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.2826055     Document Type: Article

References (18)

1. Beckermann, C., Ramadhyani, S., and Viskanta, R., 1987, “Natural Convection Flow and Heat Transfer between a Fluid Layer and a Porous Layer Inside a Rectangular Enclosure,” ASME Journal of Heat Transfer, Vol. 109, pp. 363-370.
2. Bejan, A., 1984, Convection Heat Transfer, John Wiley and Sons, New York, pp. 388-416.
3. Byrappa, K., 1994, “Hydrothermal Growth of Crystals,” Handbook of Crystal Growth, Vol. 2, D. T. J. Hurle, ed., Elsevier Science, pp. 465-562.
4. Chatterjee, A., 1998a, “Three Dimensional Adaptive Finite Volume Scheme for Transport Phenomena in Materials Processing: Application to Czochralski Crystal Growth,” Ph.D. dissertation, Department of Mechanical Engineering, SUNY at Stony Brook, Stony Brook, NY.
5. Chatterjee, A., and Prasad, V., 1998b, “A Three-Dimensional Adaptive Finite Volume Scheme for Transport Phenomena in Phase Change Processes,” Num. Heat Transfer, under preparation.
6. Chen, Q.-S., Prasad, V., and Chatterjee, A., 1998, “Modeling of Fluid Flow and Heat Transfer in a Hydrothermal Crystal Growth System: Use of Fluid-Superposed Porous Layer Theory,” Proceedings of the ASME Heat Transfer Division—1998, ASME, New York, pp. 119-129.
7. Chen, Q.-S., Prasad, V., Chatterjee, A., and Larkin, J., 1999, “A Porous Media-Based Transport Model for Hydrothermal Growth,” J. Crystal Growth, Vol. 198-199, pp. 710-715.
8. Ergun, S., 1952, “Fluid Flow Through Packed Columns,” Chem. Eng. Prog., Vol. 48, pp. 89-94.
9. James, J. A., and Kell, R. C., 1975, “Crystal Growth from Aqueous Solutions,” Crystal Growth, B. R. Pamplin, ed., Pergamon Press, London, pp. 557-575.
10. Karki, K. C., and Patankar, S. V., 1988, “Calculation Procedure for Viscous Incompressible Flows in Complex Geometries,” Num. Heat Transfer, Vol. 14, pp. 295-307.
11. Larkin, J., Harris, M., and Cormier, J. E., 1993, “Hydrothermal Growth of Bismuth Silicate (BSO),” J. Crystal Growth, Vol. 128, pp. 871-875.
12. Laudise, R. A., and Nielsen, J. W., 1961, “Hydrothermal Crystal Growth,” Solid State Physics, Vol. 12, F. Seitz and D. Turnbull, eds., Academic Press, San Diego, pp. 149-222.
13. Laudise, R. A., 1970, The Growth of Single Crystals, Prentice-Hall, NJ, pp. 275-293.
14. Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC.
15. Prasad, V., 1991, “Convective Flow Interaction and Heat Transfer Between Fluid and Porous Layers,” Convective Heat and Mass Transfer in Porous Media, S. Kaka?, et al, eds.; Kluwer, Netherlands, pp. 563-615.
16. Shternberg, A. A., 1971, “Crystallization Processes in Autoclaves,” Hydrothermal Synthesis of Crystals, A. N. Lobachev, ed., Consultants Bureau, New York, pp. 25-33.
17. Zhang, H., and Moallemi, M. K., 1995, “A Multizone Adaptive Grid Generation Technique for Simulation of Moving and Free Boundary Problems,” Num. Heat Transfer, Vol. 27, Part B, pp. 255-276.
18. Zhang, H., Prasad, V., and Moallemi, M. K., 1996, “Numerical Algorithm Using Multi-Zone Adaptive Grid Generation for Multiphase Transport Processes with Moving and Free Boundaries,” Num. Heat Transfer, Vol. 29, Part B, pp. 399-421.