Journal of Mechanical Science and Technology

  • 제15권6호
  • /
  • Pages.796-803
  • /
  • 2001
  • /
  • 1738-494X(pISSN)
  • /
  • 1976-3824(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지

Fixed-Grid Simulation of Convection-Dominated Melting in a Rectangular Cavity

  • Wongee Chun (Department of Nuclear and Energy Engineering, Cheju National University) ;
  • Kim, Sin (Department of Nuclear and Energy Engineering, Cheju National University) ;
  • Kim, Min-Chan (Department of Chemical Engineering, Cheju National University)
  • 발행 : 2001.06.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Numerical solutions for the convection-dominated melting in a rectangular cavity are presented. The enthalpy-porosity model is employed as the mathematical model. This model is applied in conjunction with the EIT method to detect boundary movement in a phase changing environment. The absorption and evolution of latent heat during the phase change is dealt with by the enthalpy-based energy equation. This seems to be more efficient than resolving the temperature-based energy equation. The velocity switch-off, which is required when solid changes into liquid, is modeled by the porous medium assumption. For efficiency and simplicity of the solutions procedure, this paper proposes a simple algorithm, which iterates the temperature and the liquid fraction of the cells comprising the front layer. The numerical results agree reasonably well with the experimental data and other previous works using the transformed-grid system.

키워드

참고문헌

  1. Beckermann, C. and Viskanta, R., 1989, 'Effect of Solid Subcooling on Natural Convection Melting of a Pure Metal,' Journal of Heat Transfer-Transactions of the ASME, Vol. 111, pp. 416-424
  2. Brent, A.D., Voller, V.R. and Reid, K.J., 1988, 'Enthalpy-Porosity Technique for Modeling Convection-Diffusion Phase Change;Application to the Melting of a Pure Metal,' Numerical Heat Transfer, Vol. 13, pp. 297-318 https://doi.org/10.1080/10407788808913615
  3. Fachinotti, V.D., Cardona, A. and Huespe, A.E., 1999, 'A Fast Convergent and Accurate Temperature Model for Phase-Change Heat Conduction,' International Journal for Numerical Methods in Engineering, Vol. 44, pp. 1863-1884 https://doi.org/10.1002/(SICI)1097-0207(19990430)44:12<1863::AID-NME571>3.0.CO;2-9
  4. Gau, C. and Viskanta, R., 1986, 'Melting and Solidification of a Pure Metal on a Vertical Wall,' Journal of Heat Transfer Transactions of the ASME, Vol. 108, pp. 174-181
  5. Kim, S., Kim, M.C. and Chun, W.G., 2001, 'A Fixed Grid Finite Control Volume Model for the Phase Change Heat Conduction Problems with a Single-Point Predictor-Corrector Algorithm,' Korean Journal of Chemical Engineering, Vol. 18, No. 1, pp. 40-45 https://doi.org/10.1007/BF02707196
  6. Lacroix, M. and Voller, V.R., 1990, 'Finite Difference Solutions of Solidification Phase Change Problems: Transformed versus Fixed Grids,' Numerical Heat Transfer Part B-Fundamentals, Vol. 17, pp. 25-41 https://doi.org/10.1080/10407799008961731
  7. Park, I.K., Park, G.C. and Bang, K.H., 2000, 'Multiphase Flow Modeling of Molten Material-Vapor-Liquid Mixtures in Thermal Nonequilibrium,' KSME International Journal, Vol. 14, No. 5, pp. 553-561
  8. Patankar, S.V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington
  9. Rady, M.A. and Mohanty, A.K., 1996, 'Natural Convection during Melting and Solidfication of Pure Metals in a Cavity,' Numerical Heat Transfer Part A-Applications, Vol. 29, pp. 49-63 https://doi.org/10.1080/10407789608913778
  10. Rady, M.A., Satyamurty, V.V. and Mohanty, A.K., 1997, 'Effects of Liquid Superheat during Solidification of Pure Metals in a Square Cavity,' Heat and Mass Transfer, Vol. 32, pp. 499-509 https://doi.org/10.1007/s002310050151
  11. Seo, T., 1995, 'The Spatial Viscous Instability of a Two-Dimensional Developing Mixing Layer,' KSME International Journal, Vol. 9, No. 1, pp. 14-18
  12. Viswanath, R. and Jaluria, Y., 1993, 'A Comparison of Different Solution Methodologies for Melting and Solidification Problems,' Numerical Heat Transfer Part B-Fundamentals, Vol. 24, pp. 77-105 https://doi.org/10.1080/10407799308955883
  13. Voller, V.R., 1997, ' An Overview of Numerical Methods for Solving Phase Change Problems,' in Advanced Numerical Heat Transfer edited by Minkowycz, W. J. and Sparrow, E. M., Vol. 1, pp. 341-379