Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 30, 1996 - Issue 7
17
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

NUMERICAL SIMULATION OF HEAT TRANSPORT AND FLUID FLOW IN DIRECTIONAL CRYSTAL GROWTH OF GaAs

, &
Pages 685-701 | Received 09 Jan 1996, Accepted 13 Jun 1996, Published online: 03 Apr 2007

References

  • R. A. Brown , Theory of Transport Process in Single Crystal Growth from the Melt , AIChE J. , vol. 34 , pp. 881 – 891 , 1988 .
  • J. A. Kafalas and A. H. Bellows , A Comparative Study of the Influence of Buoyancy Driven Fluid Flow on GaAs Crystal Growth , Prvc. 1988 AIAA Conf. , pp. 337 – 347 , 1988 .
  • W. Arnold , D. Jacqmin , R. Gaug , and A. Chait , Convection Phenomena in Low-Gravity Processing The GTE GaAs Space Experiment , AIAA Paper 90-0409 , 1990 .
  • R. A. Brown and D. H. Kim , Modeling of Directional Solidification From Scheil to Detailed Numerical Simulation , J. Cryst. Growth , vol. 109 , pp. 50 – 65 , 1991 .
  • D. H. Kim and R. A. Brown , Transient Simulation of Convection and Solute Segregation of GaAs Growth in Gradient Freeze Furnace , J. Cryst. Growth , vol. 109 , pp. 66 – 74 , 1991 .
  • M. H. Hsieh and C. C. Chieng , Numerical Simulation of the Modified Two-Temperature Horizontal Bridgman Growth of Gallium Arsenide Crystal Inside a Quartz Boat , J. Mech, Eng. Sci. , vol. 206 , pp. 105 – 118 , 1992 .
  • A. H. Bellows and D. H. Matthiesen , A Comparative Study of the Influence of Convection on Gallium Arsenide Crystal Growth , Preliminary Flight Report, GAS Payload No. G-0052 , 1991 .
  • A. H. Bellows and D. H. Matthiesen , A Comparative Study of the Influence of Convection on Gallium Arsenide Crystal Growth , Second Preliminary Flight Report, GAS Payload No. G-0229 , 1992 .
  • P. M. Adornato and R. A. Brown , Convection and Segregation in Directional Solidification of Dilute and Non-Dilute Binary Alloys Effects of Ampoule and Furnace Design , J. Cryst. Growth , vol. 80 , pp. 155 – 190 , 1987 .
  • M. Yao , A. Chait , A. L. Fripp , and W. J. Debnam , Numerical Simulation of Bridgman Crystal Growth of PbSnTe in Microgravity , Microgravity Sci. Technol. , vol. 8 , pp. 214 – 225 , 1996 .
  • T. J. Jasinski , W. M. Rohsenow , and A. F. Witt , J. Cryst. Growth , vol. 61 , p. 339 , 1983 .
  • C. J. Chang and R. A. Brown , Radial Segregation Induced by Natural Convection and Melt/Solid Interface Shape in Vertical Bridgman Growth , J. Cryst. Growth , vol. 63 , pp. 343 – 364 , 1983 .
  • J. C. Han and S. Motakef , Double Diffusive Convection During Directional Solidification of Binary II-VI Semiconductors , J. Mater. Proc. Manuf. Sci. , vol. 1 , pp. 195 – 211 , 1992 .
  • S. Motakef , Interface of Buoyancy-Induced Convection with Segregation During Directional Solidification Scaling Laws , J. Crystal Growth , vol. 102 , pp. 197 – 213 , 1994 .
  • J. Crank , Free and Moving Boundary Problems , Clarendon Press , Oxford , 1984 .
  • V. R. Voller and C. R. Swaminathan , Fixed Grid Techniques for Phase Change Problems A Review , Int. J. Numer. Methods Eng. , vol. 30 , pp. 875 – 898 , 1990 .
  • C. Bonacina , G. Comini , A. Fasano , and M. Primicerio , Numerical Solution of Phase-Change Problems , Int. J. Heat Mass Transfer , vol. 16 , pp. 1825 – 1832 , 1973 .
  • K. Mogan , R. W. Lewis , and O. Zienkiewicz , An Improved Algorithm for Heat Conduction Problem with Phase Change , Int. J. Numer. Methods Eng. , vol. 12 , pp. 1191 – 1195 ,1978.
  • J. A. Dantzig , Modeling Liquid-Solid Phase Changes with Melt Convection , Int. J. Numer. Meth. Eng. , vol. 28 , pp. 1769 – 1785 , 1989 .
  • V. R. Voller , M. Cross , and N. C. Markatos , An Enthalpy Method for Convection/Diffusion Phase Change , Int. J. Numer. Methods Eng. , vol. 24 , pp. 271 – 284 , 1987 .
  • D. K. Gartling , Finite Element Analysis of Convective Heat Transfer Problems with Change of Phase , in K. Morgan et al. (eds.), Computer Methods in Fluids , pp. 257 – 284 , Pentech , London , 1980 .
  • N. Shamsundar , Comparison of Numerical Methods for Diffusion Problems with Moving Boundaries, in D. G. Wilson and P. T. Boggs (eds.), Moving Boundary Problems , pp. 165–185, Academic Press , New York , 1978.
  • M. Yao and A. Chait , Application of the Homographic Approximation in the Enthalpy Method for Phase Change Problems , Int. J. Numer. Methods Heat Fluid Flow , vol. 3 , pp. 157 – 172 , 1993 .
  • M. Yao and A. Chait , An Alternative Formulation of the Apparent Heat Capacity Method for Phase Change Problems , J. Numer. Heat Transfer Part B Fundamentals , vol. 24 , pp. 279 – 300 , 1993 .
  • M. Engleman , FIDAP Theoretical Manual , version 6 , Fluid Dynamics International, Inc. , Evanston , 111 ., 1993 .
  • Address correspondence to Dr. Minwu Yao, Ohio Aerospace Institute, 22800 Cedar Point Road, Brook Park, OH 44142, USA.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.