Numerical Prediction for Subcooled Boiling Flow of Liquid Nitrogen in a Vertical Tube with MUSIG Model

doi:10.1016/S1004-9541(13)60632-1

Chinese Journal of Chemical Engineering ›› 2013, Vol. 21 ›› Issue (11): 1195-1205.DOI: 10.1016/S1004-9541(13)60632-1

• 流体力学与传递现象 • 下一篇

Numerical Prediction for Subcooled Boiling Flow of Liquid Nitrogen in a Vertical Tube with MUSIG Model

王斯民¹, 文键¹, 李亚梅¹, 杨辉著¹, 厉彦忠¹, Jiyuan Tu²

1 School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China;
2 School of Aerospace, Mechanical and Manufacturing, RMIT University, VIC 3083, Australia

收稿日期:2012-06-12 修回日期:2013-05-25 出版日期:2013-11-28 发布日期:2013-11-26
通讯作者: WEN Jian
基金资助:
Supported by the National Natural Science Foundation of China (51106119, 81100707), the Fundamental Research Funds for the Central University of China, Doctoral Fund of Ministry of Education (20110201120052) and the National Science and Technology Surporting Item (2012BAA08B03).

Numerical Prediction for Subcooled Boiling Flow of Liquid Nitrogen in a Vertical Tube with MUSIG Model

WANG Simin¹, WEN Jian¹, LI Yamei¹, YANG Huizhu¹, LI Yanzhong¹, Jiyuan Tu²

1 School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China;
2 School of Aerospace, Mechanical and Manufacturing, RMIT University, VIC 3083, Australia

Received:2012-06-12 Revised:2013-05-25 Online:2013-11-28 Published:2013-11-26
Contact: WEN Jian
Supported by:
Supported by the National Natural Science Foundation of China (51106119, 81100707), the Fundamental Research Funds for the Central University of China, Doctoral Fund of Ministry of Education (20110201120052) and the National Science and Technology Surporting Item (2012BAA08B03).

摘要/Abstract

摘要： Multiple size group (MUSIG) model combined with a three-dimensional two-fluid model were employed to predict subcooled boiling flow of liquid nitrogen in a vertical upward tube. Based on the mechanism of boiling heat transfer, some important bubble model parameters were amended to be applicable to the modeling of liquid nitrogen. The distribution of different discrete bubble classes was demonstrated numerically and the distribution patterns of void fraction in the wall-heated tube were analyzed. It was found that the average void fraction increases nonlinearly along the axial direction with wall heat flux and it decreases with inlet mass flow rate and subcooled temperature. The local void fraction exhibited a U-shape distribution in the radial direction. The partition of the wall heat flux along the tube was obtained. The results showed that heat flux consumed on evaporation is the leading part of surface heat transfer at the rear region of subcooled boiling. The turning point in the pressure drop curve reflects the instability of bubbly flow. Good agreement was achieved on the local heat transfer coefficient against experimental measurements, which demonstrated the accuracy of the numerical model.

关键词: liquid nitrogen, subcooled boiling, bubble departure diameter, bubble frequency, nucleation site density, MUSIG model

Abstract: Multiple size group (MUSIG) model combined with a three-dimensional two-fluid model were employed to predict subcooled boiling flow of liquid nitrogen in a vertical upward tube. Based on the mechanism of boiling heat transfer, some important bubble model parameters were amended to be applicable to the modeling of liquid nitrogen. The distribution of different discrete bubble classes was demonstrated numerically and the distribution patterns of void fraction in the wall-heated tube were analyzed. It was found that the average void fraction increases nonlinearly along the axial direction with wall heat flux and it decreases with inlet mass flow rate and subcooled temperature. The local void fraction exhibited a U-shape distribution in the radial direction. The partition of the wall heat flux along the tube was obtained. The results showed that heat flux consumed on evaporation is the leading part of surface heat transfer at the rear region of subcooled boiling. The turning point in the pressure drop curve reflects the instability of bubbly flow. Good agreement was achieved on the local heat transfer coefficient against experimental measurements, which demonstrated the accuracy of the numerical model.

Key words: liquid nitrogen, subcooled boiling, bubble departure diameter, bubble frequency, nucleation site density, MUSIG model

王斯民, 文键, 李亚梅, 杨辉著, 厉彦忠, Jiyuan Tu. Numerical Prediction for Subcooled Boiling Flow of Liquid Nitrogen in a Vertical Tube with MUSIG Model[J]. Chinese Journal of Chemical Engineering, 2013, 21(11): 1195-1205.

WANG Simin, WEN Jian, LI Yamei, YANG Huizhu, LI Yanzhong, Jiyuan Tu. Numerical Prediction for Subcooled Boiling Flow of Liquid Nitrogen in a Vertical Tube with MUSIG Model[J]. Chin.J.Chem.Eng., 2013, 21(11): 1195-1205.

参考文献

1 Klimenko, V.V., Sudarchikov, A.M., “Investigation of forced flow boiling of nitrogen in a long vertical tube”, Cryogenics, 23 (7), 379-385 (1983).

2 Steiner, D., “Heat transfer during flow boiling of cryogenic fluids in vertical and horizontal tubes”, Cryogenics, 26 (5), 309-318 (1986).

3 Subbotin, V.I., Deev, V.I., Pridantsev, A.I., “Heat transfer and hydrodynamics in cooling channels of superconducting devices”, Cryogenics, 25 (5), 261-265 (1985).

4 Ishimoto, J., Onishi, M., Kamijo, K., “Numerical and experimental study on the cavitating flow characteristics of pressurized liquid nitrogen in a horizontal rectangular nozzle”, J. Pressure Vessel Technol., 127 (11), 515-524 (2005).

5 Shao, X.F., Li, X.D., Wang, R.S., “Numerical simulation of liquid nitrogen boiling flow in vertical annular pipe”, Chem. Eng., 39 (10), 82-86 (2011). (in Chinese)

6 Li, X.D., Wang, R.S., Huang, R., Shi, Y., “Numerical investigation of boiling flow of nitrogen in a vertical tube using the two-fluid model”, Appl. Therm. Eng., 26 (17-18), 2425-2432 (2006).

7 Tu, J.Y., Yeoh, G.H., “On numerical modelling of low-pressure subcooled boiling flows”, Int. J. Heat Mass Transfer, 45, 1197-1209 (2002).

8 Yeoh, G.H., Tu, J.Y., “Two-fluid and population balance models for subcooled boiling flow”, Appl. Math. Model., 30, 1370-1391 (2006).

9 Wang, S.M., Li, Y.Z., Wen, J., Yu, F., “Numerical simulation for subcooled boiling process of liquid nitrogen in vertical tube”, Chem. Eng., 36 (10), 17-20 (2008). ( in Chinese)

10 Li, Y.Z., Yeoh, G.H., Tu, J.Y., “Numerical investigation of static flow instability in a low-pressure subcooled boiling channel”, Heat Mass Transfer, 40 (5), 355-364 (2004).

11 Ishii, M., Thermo-fluid Dynamic Theory of Two-phase Flow, Eyrolles, Paris (1975).

12 Anglart, H., Nylund, O., “CFD application to prediction of void distribution in two-phase bubbly flows in rod bundles”, Nucl. Sci. Eng., 163, 81-98 (1996).

13 Lahey, J.R.T., Drew, D.A., “The analysis of two-phase flow and heat transfer using multidimensional, four field, two-fluid model”, Nucl Eng. Design, 204, 29-44(2001).

14 Yeoh, G.H., Tu, J.Y., “Population balance modelling for bubbly flows with heat and mass transfer”, Chem. Eng. Sci., 59, 3125-3139 (2004).

15 Sato, Y., Sadatomi, M., Sekoguchi, K., “Momentum and heat transfer in two-phase bubbly flow (Ⅰ)”, Int. J. Multiphase Flow., 7, 167-178 (1981).

16 Lo, S., Application of Population Balance to CFD Modeling of Bubbly Flow via the MUSIG Model, AEA Technology, UK (1996).

17 Kumar, S., Ramkrishna, D., “On the solution of population balance equations by discretization (Ⅰ) A fixed pivot technique”, Chem. Eng. Sci., 51, 1311-1332 (1996).

18 Luo, H., Svendsen, H., “Theoretical model for drop and bubble break-up in turbulent dispersions”, AIChE J., 42, 1225-1233 (1996).

19 Prince, M.J., Blanch, H.W., “Bubble coalescence and break-up in air-sparged bubble column”, AIChE J., 36, 1485-1499 (1990).

20 Graham, R.W., Hendricks, R.C., “Assessment of convection and evaporation in nucleate boiling”, NASA TN D-3943 (1967).

21 Cooper, M.G., “The microlayer and bubble growth in nucleate pool boiling”, Int. J. Heat Mass Transfer., 12, 915-933 (1969).

22 Cooper, M.G., Lloyd, A.J.P., “The microlayer in nucleate pool boiling”, Int. J. Heat Mass Transfer, 12, 895-913 (1969).

23 Hsu, Y.Y., Graham, R.W., Transport Processes in Boiling and Two-phase Systems, Hemisphere, Washington, DC (1976).

24 Judd, R.L., Hwang, K.S., “A comprehensive model for nucleate pool boiling heat transfer including microlayer evaporation”, ASME J. Heat Trans., 98, 623-629 (1976).

25 Fath, H.S., Judd, R.L., “Influence of system pressure on microlayer evaporation heat transfer”, ASME J. Heat Transfer, 100, 49-55 (1978).

26 Victor, H., Del, V.M., Kenning, D.B.R., “Subcooled flow boiling at high heat flux”, Int. J. Heat Mass Transfer, 28, 1907-1920 (1985).

27 Stephan, K., Heat Transfer in Condensation and Boiling, Springer, New York (1992).

28 Wu, Y.T., Yang, C.X., Yuan, X.G., “The active site density in nucleate pool boiling of cryogenic liquid”, Gryogenics, 2, 44-48 (1999). (in Chinese)

29 Fritz, W., “Maximum volume of vapor bubbles”, Physik Zeitschr., 36 (11), 379-384 (1935).

30 Ametistov, E.V., Heat Transfer in Boiling Cryogenic Liquids, Mir Pub., Moscow (1989).

31 Zuber, N., “Hydrodynamic aspects of boiling heat transfer”, Ph.D. Thesis, University of California, Los Angeles (1959).

32 Barron, R.F., Cryogenic Heat Transfer, Taylor &Francis Group, New York (1999).

33 Lu, Z.Q., Li, L.K., “Numerical calculation of void fraction in vertical upflow tube”, J. Eng. Thermophys., 14 (1) 57-63 (1993). (in Chinese)

Numerical Prediction for Subcooled Boiling Flow of Liquid Nitrogen in a Vertical Tube with MUSIG Model

Numerical Prediction for Subcooled Boiling Flow of Liquid Nitrogen in a Vertical Tube with MUSIG Model

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

编辑推荐

Metrics

本文评价