열분배모델을 이용한 수직유로에서의 저압 미포화비등 해석

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이바로;이연건
Lee, Ba-Ro;Lee, Yeon-Gun

  • 투고 : 2016.02.21
  • 심사 : 2016.05.03
  • 발행 : 2016.07.01

초록

벽면비등 모델로 열분배모델을 채택하는 CFD 스케일의 전산해석코드는 저압 조건에서 미포화비등 발생 시 2상유동 변수의 해석 정확도가 낮은 것으로 알려진다. 본 연구에서는 열분배모델을 기반으로 벽면비등 현상을 예측하는 열수력 기기해석코드인 CUPID 코드를 이용하여 수직상향류 미포화비등 실험을 해석하였다. 10 bar 이상의 고압 조건에서는 CUPID 코드의 기포율 예측 정확도가 높았으나, 대기압 주변의 저압 조건에서는 기포율 분포에 대한 해석결과가 실험결과와 큰 차이를 보였다. 따라서 열분배모델 내 주요 인자에 사용되는 부모델에 대한 민감도 분석을 수행하였으며, 저압 조건 미포화비등 예측에 적합한 최적 부모델 조합을 선정하였다. 또한, 열분배모델 내 주요 인자 중 하나인 K-인자가 기포율에 미치는 영향을 평가하였다.

키워드

열분배모델;저압 미포화비등;CUPID 코드;K-인자

참고문헌

  1. Christensen, H., 1961, "Power-to-void Transfer Functions," ANL-6385, Argonne National Laboratory, Argonne, USA.
  2. Bartolomey, C. C. and Chanturiya, V. M., 1967, "Experimental Study of True Void Fraction When Boiling Subcooled Water in Vertical Tubes," Thermal Engng, Vol. 14, pp. 123-128.
  3. Zeitoun, O. and Shoukri, M., 1997, "Axial Void Fraction Profile in Low Pressure Subcooled Flow Boiling," Int. J. Heat Mass Transfer, Vol. 40, No. 4, pp. 869-879. https://doi.org/10.1016/0017-9310(96)00164-0
  4. Thorncroft, G. E., Klausner, J. F. and Mei, R., 1998, "An Experimental Investigation of Bubble Growth and Detachment in Vertical Upflow and Downflow Boiling," Int. J. Heat Mass Transfer, Vol. 41, No. 23, pp. 3857-3871. https://doi.org/10.1016/S0017-9310(98)00092-1
  5. Basu, N., Warrier, G. R. and Dhir, V. K., 2002, "Onset of Nucleate Boiling and Active Nucleation Site Density During Subcooled Flow Boiling," ASME J. Heat Transfer, Vol. 124, No. 4, pp. 717-728. https://doi.org/10.1115/1.1471522
  6. Situ, R., Hibiki, T., Sun, X., Mi, Y. and Ishii, M., 2004, "Axial Interfacial Area Transport of Subcooled Boiling Flow in an Internally Heated Annulus," Exp. Fluids, Vol. 37, pp. 589-603. https://doi.org/10.1007/s00348-004-0855-6
  7. Yun, B. J., Bae, B. U., Euh, D. J., Park, G. C. and Song, C.-H., 2010, "Characteristic of the Local Bubble Parameters of a Subcooled Boiling Flow in an Annulus," Nucl. Eng. Design, Vol. 240, No. 9, pp. 2295-2303. https://doi.org/10.1016/j.nucengdes.2009.11.014
  8. Bae, B. U., 2008, "Development of CFD code for Subcooled Boiling Two-phase Flow with Modeling the Interfacial Area Transport Equation," Ph.D. thesis, Seoul National University, Korea.
  9. Hoang, N. H., Chu, I. C., Euh, D. J. and Song, C.-H., 2016, "A Mechanistic Model for Predicting the Maximum Diameter of Vapor Bubbles in a Subcooled Boiling Flow," Int. J. Heat Mass Transfer, Vol. 94, pp. 174-176. https://doi.org/10.1016/j.ijheatmasstransfer.2015.11.051
  10. Hibiki, T., Lee, T. H., Lee, J. Y. and Ishii, M., 2006, "Interfacial Area Concentration in Boiling Bubbly Flow Systems," Chem. Eng. Sci., Vol. 61, pp. 7979-7990. https://doi.org/10.1016/j.ces.2006.09.009
  11. Ivey, H. J., 1967, "Relationships between Bubble Frequency, Departure Diameter and Rise Velocity in Nucleate Boiling," Int. J. Heat Mass Transfer, Vol. 10, No. 8, pp. 1023-1040. https://doi.org/10.1016/0017-9310(67)90118-4
  12. Tu, J. Y. and Yeoh, G. H., 2002, "On Numerical Modeling of Low-pressure Subcooled Boiling Flows," Int. J. Heat Mass Transfer, Vol. 45, No. 6, pp. 1197-1209. https://doi.org/10.1016/S0017-9310(01)00230-7
  13. Degha, A. L. and Chaker, A., 2010, "Numerical Study of Subcooled Boiling in Vertical Tubes Using Relap5/Mod3.2," J. Electron Devices, Vol. 7, pp. 240-245.
  14. Bae, B. U., Yun, B. J., Yoon, H. Y., Song, C. -H. and Pack. G. C., 2010, "Analysis of Subcooled Boiling Flow with One-group Interfacial Area Transport Equation and Bubble Lift-off Model," Nucl. Eng. Design, Vol. 240, No. 9, pp. 2281-2294. https://doi.org/10.1016/j.nucengdes.2010.04.001
  15. Krepper, E., Koncar, B. and Egorov, Y., 2007, "CFD modelling of Subcooled Boiling: Concept, Validation and Application to Fuel Assembly Design," Nucl. Eng. Design, Vol. 237, No. 7, pp. 716-731. https://doi.org/10.1016/j.nucengdes.2006.10.023
  16. Koncar, B., Kljenak, I. and Mavko, B., 2004, "Modelling of Local Two-phase Flow Parameters in Upward Subcooled Flow Boiling at Low Pressure," Int. J. Heat Mass Transfer, Vol. 47, No. 6-7, pp. 1499-1513. https://doi.org/10.1016/j.ijheatmasstransfer.2003.09.021
  17. CD-adapco, 2014, "STAR-CCM+ User Guide 9.02," USA.
  18. ANSYS Inc., 2009, "ANSYS CFX-Solver Theory Guide: Release 12.1," USA.
  19. KAERI, 2015, "CUPID code Manuals Vol. 1: Mathematical Models and Solution Methods, Version 1.9," Korea.
  20. Kurul, N. and Podowski, M. Z., 1990, "Multidimensional Effects in Forced Convection Subcooled Boiling," 9th International Heat Transfer Conference, Jerusalem, Israel.
  21. Cole, R., 1960, "Photographic Study of Boiling in Region of Critical Heat Flux," AIChE Journal, Vol. 6, pp. 533-542. https://doi.org/10.1002/aic.690060405
  22. Cole, R. and Rohsenow, W., 1969, "Correlation of Bubble Departure Diameters for Boiling of Saturated Liquids," Chem. Eng. Prog., Vol. 65, pp. 211-213.
  23. Lemmert, M. and Chwala, J. M., 1977, "Influence of Flow Velocity on Surface Boiling Heat Transfer Coefficient," In: Hahne, E., Grigull, U.(Eds.), Heat Transfer in Boiling, Academic Press and Hemisphere, New York, USA.
  24. Hibiki, T. and Ishii, M., 2003, "Active Nucleation Site Density in Boiling Systems," Int. J. Heat Mass Transfer, Vol. 46, No. 14, pp. 2587-2601. https://doi.org/10.1016/S0017-9310(03)00031-0
  25. Kocamustafaogullari, G. and Ishii, M., 1983, "Interfacial Area and Nucleation Site Density in Boiling Systems," Int. J. Heat Mass Transfer, Vol. 26, No. 9, pp. 1377-1387. https://doi.org/10.1016/S0017-9310(83)80069-6
  26. Fritz, W., 1935, "Maximum Volume of Vapor Bubbles," Phys. Z., Vol. 36, pp. 379-384.
  27. Tolubinsky, V. I. and Kostanchuk, D. M., 1970, "Vapor Bubbles Growth Rate and Heat Transfer Intensity at Subcooled Water Boiling," 4th International Heat Transfer Conference, Paris, France.
  28. Judd, R. L. and Hwang, K. S., 1976, "A Comprehensive Model for Nucleate Pool Boiling Heat Transfer Including Microlayer Evaporation," ASME J. Heat Transfer, Vol. 98, No. 4, pp. 623-629. https://doi.org/10.1115/1.3450610
  29. Kenning, D. B. R., Victor, H. and Del Valle, M., 1981, "Fully Developed Nucleate Boiling: Overlap of Areas of Influence and Interference between Bubble Sites," Int. J. Heat Mass Transfer, Vol. 24, No. 6, pp. 1025-1032. https://doi.org/10.1016/0017-9310(81)90133-2
  30. Victor, H., Del Valle, M. and Kenning, D. B. R., 1985, "Subcooled Flow Boiling at High Heat Flux," Int. J. Heat Mass Transfer, Vol. 28, No. 10, pp. 1907-1920. https://doi.org/10.1016/0017-9310(85)90213-3
  31. Golobic, I., Petkovsek, J., Baselj, M., Papez, A. and Kenning, D. B. R., 2009, "Experimental Determination of Transient Wall Temperature Distributions Close to Growing Vapor Bubbles," Int. J. Heat Mass Transfer, Vol. 45, No. 7, pp. 857-866. https://doi.org/10.1007/s00231-007-0295-y
  32. Kenning, D. B. R. and Yan, Y., 1996, "Pool Boiling Heat Transfer on a Thin Plate: Features Revealed by Liquid Crystal Thermography," Int. J. Heat Mass Transfer, Vol. 39, No. 15, pp. 3117-3137. https://doi.org/10.1016/0017-9310(96)00006-3
  33. Song, J. K., Park, J. S., Jung, Satbyoul and Kim, H. D., 2014, "Experimental Study on Heat Flux Partitioning in Subcooled Nucleate Boiling on Vertical Wall," Trans Korean Soc. Mech. Eng. B, Vol. 38, No. 6, pp. 465-474. https://doi.org/10.3795/KSME-B.2014.38.6.465
  34. Cho, Y. J. and Yoon, H. Y., 2015, "Effect of Bubble Influence Area Factor on Wall Heat Flux Partitioning in CUPID Simulation of SUBO Experiment," Transactions of the Korean Nuclear Society Autumn Meeting, Gyeongju, Korea.

과제정보

연구 과제 주관 기관 : 제주대학교