Hybrid finite-element/finite-volume method for integrated hydrodynamic thermal capillary analysis of turbulence and heat transfer of czochralski crystal growth of silicon

American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP

Volumn 377 I, Issue , 1998, Pages 217-222

  Lipchin, A ^a   Brown, R A ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY FLOW; ENERGY TRANSFER; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; HEAT CONDUCTION; HEAT CONVECTION; HEAT RADIATION; INTERPOLATION; MATHEMATICAL MODELS; REYNOLDS NUMBER; SEMICONDUCTING SILICON; TURBULENT FLOW;

JONES-LAUNDER MODEL;

CRYSTAL GROWTH FROM MELT;

EID: 0031621593     PISSN: 0277027X     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (11)

1. Bornside D.E., Kinney, T.A., Brown, R.A., and Kim, G., 1990, "Finite Element/Newton Method for the Analysis of Czochralski Crystal Growth with Diffuse-Grey Radiative Heat Transfer," International Journal for Numerical Methods in Engineering, Vol. 30, pp. 133-154.
2. Brown, R.A., 1988, "Theory of Transport Processes in Single Crystal Growth from the Melt," AIChE Journal, Vol. 34, No. 6, pp. 881-911.
3. Derby, J.J., and Brown, R.A., 1986, "Thermal-Capillary Analysis of Czochralski and Liquid Encapsulated Czochralski Crystal Growth," J. Crystal Growth, Vol. 74, pp. 605-624.
4. Ferziger, J.H. and Perić, M., 1996, "Computational Methods for Fluid Dynamics,", Springer.
5. Iacovides, H., Launder, B.E., and Li, H.-Y., 1996, "The Computation of Flow Development through Stationary and Rotating U-Ducts of Strong Curvature," Int. J. Heat and Fluid Flow, Vol. 17, pp. 22-33.
6. Henkes, R.A.W.M., Van Der Vlugt, F.F., and Hoogendoorn, C.J., 1991, "Natural-Convection Flow in a Square Cavity Calculated with Low-Reynolds-Number Turbulence Models," Int. J. Heat Mass Transfer, Vol. 34, No.2, pp. 377-388.
7. Kinney, T.A., and Brown, R.A., 1993, "Application of Turbulence Modeling to the Integrated Hydrodynamic Thermal-Capillary Model of Czochralski Crystal Growth of Silicon," Journal of Crystal Growth, Vol. 132 pp. 551-574.
8. Lipchin, A and Brown, R.A., 1998, "Comparison of the Three Turbulence Models for Simulation of the Melt Convection iz Czochralski Crystal Growth of Silicon", J. Crystal Growth, submitted.
9. Nobile, E., 1993, "Comparison of turbulence models for side-heated cavities," Turbulent Natural convection in enclosures. A computational and experimental benchmark study (R.A. W.M. Henkes and C.J. Hoogendoorn, Edrs., EETI, Paris), pp. 214-233.
10. Sackinger, P.A, Brown, R.A., and Derby, J.J., 1989, "A Finite Element Method for Analysis of Fluid Flow, Heat Transfer and free Interfaces in Czochralski Crystal Growth Growth," International Journal for Numerical Methods in Fluids, Vol. 9, pp. 453-492.
11. Zhang, T., Ladeinde, F., Zhang, H., and Prasad, V., 1996, "Comparison of Turbulence Models for Natural Convection in Enclosures: Applications to Crystal Growth Processes," Proceedings, 31st ASME National Heat Transfer Conference, Part.1, Houston, TX, HTD-Vol.323, pp. 17-26.