Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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A Study on Development of the Three-Dimensional Numerical Model to Analyze the Casting Process: Mold Filling and Solidification

  • Published : 2005.07.01
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Abstract

A three dimensional model was developed to analyze the mold filling and solidification in the casting processes. The model uses the VOF method for the calculation of the free surface and the modified Equivalent Specific Heat method for the treatment of the latent heat evolution. The solution procedure is based on the SIMPLER algorithm. The complete model has been validated using the exact solutions for phase change heat transfer and the experimental results of broken water column. The three-dimensional model has been applied to the benchmark test and the results were compared to those from experiment, a two-dimensional analysis, and another three dimensional numerical model.

Keywords

References

  1. Beckermann, C. and Viskanta, R., 1993, 'Mathematical Modeling of Transport Phenomena during Alloy Solidification,' ASME Appl. Mech. Rev., Vol. 46, No. 1, pp. 1-27 https://doi.org/10.1115/1.3120318
  2. Bennon, W.D. and Incropera, F.P., 1987, 'A Continuum Model for Momentum, Heat and Species Transport in Binary Solid-Liquid Phase Change System - I. Model Formulation,' International Journal of Heat and Mass Transfer, Vol. 30, No. 10, pp. 2161-2170 https://doi.org/10.1016/0017-9310(87)90094-9
  3. Bennon, W.D. and Incropera, F.P., 1987, 'A Continuum Model for Momentum, Heat and Species Transport in Binary Solid-Liquid Phase Change System - II. Application to Solidification in a Rectangular Cavity,' International Journal of Heat and Mass Transfer, Vol. 30, No. 10, pp. 2171-2187 https://doi.org/10.1016/0017-9310(87)90095-0
  4. Chen, S., Johnson, D. B. and Raad, P. E., 1995, 'Velocity Boundary Conditions for the Simulation of Free Surface Fluid Flow,' J. Comput. Phys., Vol. 116, pp.262-276 https://doi.org/10.1006/jcph.1995.1025
  5. Griffiths, W. D., 1999, 'The Heat Transfer Coefficient during the Unidirectional Solidification of an AI-Si Alloy Casting,' Met. & Mater. Trans. B, Vol. 30, pp. 473-482 https://doi.org/10.1007/s11663-999-0081-y
  6. Harlow, F. H. and Amsden, A. A., 1971, 'Numerical fluid Dynamics Calculation Method for all Flow Speeds,' J. Comput. Phys., Vol. 8, p. 197 https://doi.org/10.1016/0021-9991(71)90002-7
  7. Hirt, C. W., Nichols, B. D., 1981, 'Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries,' J. of Computational Physics, Vol. 39, pp. 201-225 https://doi.org/10.1016/0021-9991(81)90145-5
  8. Hirt, C. W. and Shannon, J. P., 1968, 'Free Surface Stress Conditions for Incompressible Flow Calculations,' J. Comput. Phys., Vol. 2, pp. 403-411 https://doi.org/10.1016/0021-9991(68)90045-4
  9. Heut, J.F. and Ilinca, F., 1999, 'A Finite Element Method for Casting Simulations,' Numerical Heat Transfer A, Vol. 36, pp. 657-679 https://doi.org/10.1080/104077899274507
  10. Hong C. P., Lee, S. Y. and Song, K., 2001, 'Development of a New Simulation Method of Mold Filling Based on a Body Fitted Coordinate System,' ISIJ International, Vol. 42, No. 9, pp. 999-1005
  11. Hwang, W. S. and Stoehr, R. A., 1983, 'Fluid Flow Modeling for Computer Aided Design of Castings,' Journal of Metals, Oct., pp. 22-29
  12. Koo, E. M., Mok, J., Lee, J. H., Hong, C. P. and Yoon, Y. S., 2001, 'Numerical Analysis of Fluid Flow of Molten Metal and Solidification Characteristics in the Casting Process under Centrifugal Force,' J. Kor. Inst. Met. & Mater., Vol. 39, No. 3, pp. 367-373
  13. Lee, J. and Hwang, K. Y., 1995, 'Effects of Density Change and Cooling Rate on Heat Transfer and Thermal Stress During Vertical Solidification Process,' KSME, Vol. 19, No. 4, pp. 1095-1101
  14. Lee, J., Mok, J. and Hong, CP., 1999, 'Straightforward Numerical Analysis of Casting Process in a Rectangular Mold; From Filling To Solidification,' ISIJ International, Vol. 39, No. 12, pp. 1252-1261 https://doi.org/10.2355/isijinternational.39.1252
  15. Lee, K. H., Mok, J. and Lee, J., 2001, 'The Effect of Thermosolutal Convection on Macrosegregation during Alloy Solidification,' KSME, Vol. 25, No. 10, pp. 1337-1345
  16. Mampaey, F. A. and Xu, Z. A., 1995, 'Simulation and Experimental Validation of Mold Filling,' Proceedings of Modeling of Casting, Welding and Advanced Solidification Processes-VII, pp. 3-14
  17. Maronnier, V., Picaso, M. and Rappaz, J., 2003, 'Numerical Simulation of Three Dimensional Free Surface Flows,' International Journal for Numerical Methods in Fluid, Vol. 42, pp. 697-716 https://doi.org/10.1002/fld.532
  18. Mills, A. F., 1992, Heat Transfer, IRWIN, Boston
  19. Nichols, B. D. and Hirt, C. W., 1971, 'Improved Free Surface Boundary Conditions for Numerical Incompressible Flow Calculations,' J. Comput. Phys., Vol. 8, pp. 434-448 https://doi.org/10.1016/0021-9991(71)90022-2
  20. Ohnaka, I., 1984, Computer Aided Heat Transfer and Solidification (Application to Casting Process), Maruzen, Japan
  21. Patanker, S., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington
  22. Sirrell, B., Holliday, M. and Campbell, J., 1995, 'the Bench Mark Test 1995,' Modeling of Modelling of Casting, Welding, and Advanced Solidification Processes VII, pp. 915-933
  23. White, F. M., 1991, Viscous Fluid Flow, McGrawHill, New York