Abstract
Flow boiling heat transfer of nitrogen at high subcritical pressure conditions in a single vertical mini-channel with the diameter of 2.0 mm was experimentally investigated. The tested mass flux varied from 530 to 830 kg/(m2·s), the inlet pressure ranged from 630 to 1080 kPa, and the heat flux ranged from 0 to 223.2 kW/m2. Effects of the mass flux and the inlet pressure on the nitrogen boiling curve were examined. Results showed that within the limited test conditions, the merging of three boiling curves indicates the dominance of nucleate boiling and the inlet pressure has a positive enhancement on heat transfer performance. Three heat transfer trends were identified with increasing heat flux. At low heat fluxes, the heat transfer coefficient increases first and then decreases with vapour quality. At intermediate heat fluxes, the heat transfer coefficient versus the vapour quality presents an inverted “U” shape. At high heat fluxes, a double valley shape was observed and the partial dry-out in intermittent flow and annular flow helps to interpret the phenomenon. The increasing inlet pressure increases the heat transfer coefficient over a wide range of vapour quality until the partial dry-out inception. The lower surface tension and lower latent heat of evaporation enhance the nucleate boiling for higher inlet pressure. A modified experimental correlation (mean absolute error (MAE)=19.3%) was proposed on the basis of the Tran correlation considering both the nucleate boiling and the partial dry-out heat transfer mechanism.
概要
目 的
面向液体火箭发动机再生冷却, 针对较高亚临界压力下单个垂直微小通道中液氮的流动沸腾传热特性开展实验研究, 讨论并分析热流密度、 密流和入口压力对沸腾曲线和局部换热系数的影响, 以获得液氮在微小通道中较高亚临界压力下的流动沸腾传热机理及实验关系式.
创新点
-
1.
通过工况参数对沸腾曲线和局部换热系数的影响分析, 得到液氮在微小通道中较高亚临界压力下的流动沸腾传热机理;
-
2.
提出微小通道中较高亚临界压力下的流动沸腾传热修正关系式.
方 法
-
1.
通过实验方法, 得到液氮在微小通道中较高亚临界压力下的沸腾曲线和局部换热系数;
-
2.
通过实验与理论分析相结合, 得到液氮在微小通道中较高亚临界压力下的流动沸腾传热机理;
-
3.
通过理论分析, 将实验结果与六种预测关系式进行比较, 并根据实验数据提出一种改进的实验关系式 (表 7).
结 论
-
1.
热流密度对换热系数有较大影响, 随着热流密度的增大, 出现了三种变化趋势;
-
2.
在实验范围内, 密流的增大抑制了核态沸腾, 并且降低了环状流的局部换热系数;
-
3.
-入口压力的增大在较大干度范围内增大了局部换热系数, 直到局部蒸干的出现;
-
4.
综合考虑核态沸腾和局部蒸干两种主导传热机理, 在 Tran 关系式的基础上提出了一种适用于较高亚临界压力条件下微小通道中液氮流动沸腾的修正实验关系式 (平均绝对误差为 19.3%).
Similar content being viewed by others
References
Agostini B, Thome JR, Fabbri M, et al., 2008. High heat flux flow boiling in silicon multi-microchannels-part I: heat transfer characteristics of refrigerant R236fa. International Journal of Heat and Mass Transfer, 51(21-22): 5400–5414. https://doi.org/10.1016/j.ijheatmasstransfer.2008.03.006
Balasubramanian K, Lee PS, Jin LW, et al., 2011. Experimental investigations of flow boiling heat transfer and pressure drop in straight and expanding microchannels-a comparative study. International Journal of Thermal Sciences, 50(12):2413–2421. https://doi.org/10.1016/j.ijthermalsci.2011.07.007
Bao ZY, Fletcher DF, Haynes BS, 2000. Flow boiling heat transfer of Freon R11 and HCFC123 in narrow passages. International Journal of Heat and Mass Transfer, 43(18): 3347–3358. https://doi.org/10.1016/S0017-9310(99)00379-8
Bertsch SS, Groll EA, Garimella SV, 2008. Refrigerant flow boiling heat transfer in parallel microchannels as a function of local vapor quality. International Journal of Heat and Mass Transfer, 51(19-20):4775–4787. https://doi.org/10.1016/j.ijheatmasstransfer.2008.01.026
Butterworth D, Hewitt GF, 1977. Two-phase Flow and Heat Transfer. Oxford University Press, UK.
Charnay R, Revellin R, Bonjour J, 2014. Flow boiling characteristics of R-245fa in a minichannel at medium saturation temperatures. Experimental Thermal and Fluid Science, 59:184–194. https://doi.org/10.1016/j.expthermflusci.2014.01.011
Charnay R, Revellin R, Bonjour J, 2015. Flow boiling heat transfer in minichannels at high saturation temperatures: Part I-experimental investigation and analysis of the heat transfer mechanisms. International Journal of Heat and Mass Transfer, 87:636–652. https://doi.org/10.1016/j.ijheatmasstransfer.2015.03.081
Chen JC, 1963. A correlation for boiling heat transfer to saturated fluids in convective flow. Heat Transfer Conference, p.11–14.
Chen ST, Chen XY, Luo GQ, et al., 2018. Flow boiling instability of liquid nitrogen in horizontal mini channels. Applied Thermal Engineering, 144:812–824. https://doi.org/10.1016/j.applthermaleng.2018.08.100
Chen ST, Chen XY, Chen L, et al., 2019. Experimental study on the heat transfer characteristics of saturated liquid nitrogen flow boiling in small-diameter horizontal tubes. Experimental Thermal and Fluid Science, 101:27–36. https://doi.org/10.1016/j.expthermflusci.2018.09.020
Cheng LX, Xia GD, 2017. Fundamental issues, mechanisms and models of flow boiling heat transfer in microscale channels. International Journal of Heat and Mass Transfer, 108:97–127. https://doi.org/10.1016/j.ijheatmasstransfer.2016.12.003
Clark JA, 1969. Cryogenic heat transfer. Advances in Heat Transfer, 5:325–517. https://doi.org/10.1016/S0065-2717(08)70132-1
Dupont V, Thome JR, Jacobi AM, 2004. Heat transfer model for evaporation in microchannels. Part II: comparison with the database. International Journal of Heat and Mass Transfer, 47(14-16):3387–3401. https://doi.org/10.1016/j.ijheatmasstransfer.2004.01.007
Fang XD, 2013. A new correlation of flow boiling heat transfer coefficients based on R134a data. International Journal of Heat and Mass Transfer, 66:279–283. https://doi.org/10.1016/j.ijheatmasstransfer.2013.07.015
Fang XD, Sudarchikov AM, Chen YF, et al., 2016. Experimental investigation of saturated flow boiling heat transfer of nitrogen in a macro-tube. International Journal of Heat and Mass Transfer, 99:681–690. https://doi.org/10.1016/j.ijheatmasstransfer.2016.03.126
Fang XD, Zhuang FT, Chen C, et al., 2019. Saturated flow boiling heat transfer: review and assessment of prediction methods. Heat and Mass Transfer, 55(1):197–222. https://doi.org/10.1007/s00231-018-2432-1
Fu X, Qi SL, Zhang P, et al., 2008. Visualization of flow boiling of liquid nitrogen in a vertical mini-tube. International Journal of Multiphase Flow, 34(4):333–351. https://doi.org/10.1016/j.ijmultiphaseflow.2007.10.014
Fu X, Zhang P, Huang CJ, et al., 2010. Bubble growth, departure and the following flow pattern evolution during flow boiling in a mini-tube. International Journal of Heat and Mass Transfer, 53(21-22):4819–4831. https://doi.org/10.1016/j.ijheatmasstransfer.2010.06.010
Harirchian T, Garimella SV, 2008. Microchannel size effects on local flow boiling heat transfer to a dielectric fluid. International Journal of Heat and Mass Transfer, 51(15-16):3724–3735. https://doi.org/10.1016/j.ijheatmasstransfer.2008.03.013
Hartwig J, Hu H, Styborski J, et al., 2015. Comparison of cryogenic flow boiling in liquid nitrogen and liquid hydrogen chilldown experiments. International Journal of Heat and Mass Transfer, 88:662–673. https://doi.org/10.1016/j.ijheatmasstransfer.2015.04.102
Hartwig J, Darr S, Asencio A, 2016. Assessment of existing two phase heat transfer coefficient and critical heat flux correlations for cryogenic flow boiling in pipe quenching experiments. International Journal of Heat and Mass Transfer, 93:441–463. https://doi.org/10.1016/j.ijheatmasstransfer.2015.09.028
Huang Q, Jia L, Dang C, et al., 2018. Experimental study on flow boiling of deionized water in a horizontal long small channel. Journal of Thermal Science, 27(2):157–166. https://doi.org/10.1007/s11630-018-0996-1
Huo X, Chen L, Tian YS, et al., 2004. Flow boiling and flow regimes in small diameter tubes. Applied Thermal Engineering, 24(8-9):1225–1239. https://doi.org/10.1016/j.applthermaleng.2003.11.027
Hurlbert EA, Whitley R, Klem MD, et al., 2016. International space exploration coordination group assessment of technology gaps for LOx/methane propulsion systems for the global exploration roadmap. AIAA SPACE Forum. https://doi.org/10.2514/6.2016-5280
Huzel DK, Huang DH, 1992. Modern Engineering for Design of Liquid-propellant Rocket Engines. AIAA, Washington DC, USA. https://doi.org/10.2514/4.866197
Karayiannis TG, Mahmoud MM, 2017. Flow boiling in mi-crochannels: fundamentals and applications. Applied Thermal Engineering, 115:1372–1397. https://doi.org/10.1016/j.applthermaleng.2016.08.063
Kim SM, Mudawar I, 2013. Universal approach to predicting saturated flow boiling heat transfer in mini/micro-channels-part II. Two-phase heat transfer coefficient. International Journal of Heat and Mass Transfer, 64: 1239–1256. https://doi.org/10.1016/j.ijheatmasstransfer.2013.04.014
Kim SM, Mudawar I, 2014. Review of databases and predictive methods for heat transfer in condensing and boiling mini/micro-channel flows. International Journal of Heat and Mass Transfer, 77:627–652. https://doi.org/10.1016/j.ijheatmasstransfer.2014.05.036
Klem MD, Smith T, Wadel M, et al., 2011. Liquid oxygen/ liquid methane propulsion and cryogenic advanced development. Proceedings of the 62nd International Aeronautical Congress.
Klimenko VV, 1982. Heat transfer intensity at forced flow boiling of cryogenic liquids in tubes. Cryogenics, 22(11): 569–576. https://doi.org/10.1016/0011-2275(82)90003-0
Klimenko VV, Sudarchikov AM, 1983. Investigation of forced flow boiling of nitrogen in a long vertical tube. Cryogenics, 23(3):379–385.
Laverty WF, Rohsenow WM, 1964. Film Boiling of Saturated Liquid Flowing Upward Through a Heated Tube: High Vapor Quality Range. MIT, Cambridge, USA.
Lee S, Devahdhanush VS, Mudawar I, 2018. Investigation of subcooled and saturated boiling heat transfer mechanisms, instabilities, and transient flow regime maps for large length-to-diameter ratio micro-channel heat sinks. International Journal of Heat and Mass Transfer, 123: 172–191. https://doi.org/10.1016/j.ijheatmasstransfer.2018.02.020
Li W, Li JY, Feng ZZ, et al., 2017. Local heat transfer in sub-cooled flow boiling in a vertical mini-gap channel. International Journal of Heat and Mass Transfer, 110: 796–804. https://doi.org/10.1016/j.ijheatmasstransfer.2017.03.086
Liu JY, Liu JP, Li RX, et al., 2018. Experimental study on flow boiling characteristics in a high aspect ratio vertical rectangular mini-channel under low heat and mass flux. Experimental Thermal and Fluid Science, 98:146–157. https://doi.org/10.1016/j.expthermflusci.2018.05.019
Liu XF, Chen XY, Zhang QY, et al., 2017. Investigation on CHF of saturated liquid nitrogen flow boiling in a horizontal small channel. Applied Thermal Engineering, 125: 1025–1036. https://doi.org/10.1016/j.applthermaleng.2017.07.018
Mercado M, Wong N, Hartwig J, 2019. Assessment of two-phase heat transfer coefficient and critical heat flux correlations for cryogenic flow boiling in pipe heating experiments. International Journal of Heat and Mass Transfer, 133:295–315. https://doi.org/10.1016/j.ijheatmasstransfer.2018.12.108
Qi SL, 2007. Flow and Heat Transfer of Liquid Nitrogen in Micro-tubes. PhD Thesis, Shanghai Jiao Tong University, Shanghai, China (in Chinese).
Qi SL, Zhang P, Wang RZ, et al., 2007a. Flow boiling of liquid nitrogen in micro-tubes: Part I-the onset of nucleate boiling, two-phase flow instability and two-phase flow pressure drop. International Journal of Heat and Mass Transfer, 50(25-26):4999–5016. https://doi.org/10.1016/j.ijheatmasstransfer.2007.08.018
Qi SL, Zhang P, Wang RZ, et al., 2007b. Flow boiling of liquid nitrogen in micro-tubes: Part II-heat transfer characteristics and critical heat flux. International Journal of Heat and Mass Transfer, 50(25-26):5017–5030. https://doi.org/10.1016/j.ijheatmasstransfer.2007.08.017
Qu WL, Mudawar I, 2003. Flow boiling heat transfer in two-phase micro-channel heat sinks-I. Experimental investigation and assessment of correlation methods. International Journal of Heat and Mass Transfer, 46(15): 2755–2771. https://doi.org/10.1016/S0017-9310(03)00041-3
Ribatski G, Wojtan L, Thome JR, 2006. An analysis of experimental data and prediction methods for two-phase frictional pressure drop and flow boiling heat transfer in micro-scale channels. Experimental Thermal and Fluid Science, 31(1):1–19. https://doi.org/10.1016/j.expthermflusci.2006.01.006
Sandler S, Zajaczkowski B, Krolicki Z, 2018. Review on flow boiling of refrigerants R236fa and R245fa in mini and micro channels. International Journal of Heat and Mass Transfer, 126:591–617. https://doi.org/10.1016/j.ijheatmasstransfer.2018.05.048
Sempértegui-Tapia DF, Ribatski G, 2017. Flow boiling heat transfer of R134a and low GWP refrigerants in a horizontal micro-scale channel. International Journal of Heat and Mass Transfer, 108:2417–2432. https://doi.org/10.1016/j.ijheatmasstransfer.2017.01.036
Shah MM, 1976. A new correlation for heat transfer during boiling flow through pipes. ASHRAE Transactions, 82: 66–86.
Shahmardan MM, Norouzi M, Kayhani MH, et al., 2012. An exact analytical solution for convective heat transfer in rectangular ducts. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 13(10): 768–781.
Steiner D, 1986. Heat transfer during flow boiling of cryogenic fluids in vertical and horizontal tubes. Cryogenics, 26(5): 309–318. https://doi.org/10.1016/0011-2275(86)90007-X
Steiner D, Schlünder EU, 1976. Heat transfer and pressure drop for boiling nitrogen flowing in a horizontal tube: 1. Saturated flow boiling. Cryogenics, 16(7):387–398. https://doi.org/10.1016/0011-2275(76)90050-3
Sutton GP, 2005. History of Liquid Propellant Rocket Engines. AIAA, Reston, USA. https://doi.org/10.2514/4.868870
Taylor JR, 1997. An Introduction to Error Analysis, 2nd Edition. University Science Books, Mill Valley, USA.
Thome JR, Consolini L, 2010. Mechanisms of boiling in micro-channels: critical assessment. Heat Transfer Engineering, 31(4):288–297. https://doi.org/10.1080/01457630903312049
Tibiriçá CB, Ribatski G, 2010. Flow boiling heat transfer of R134a and R245fa in a 2.3 mm tube. International Journal of Heat and Mass Transfer, 53(11-12):2459–2468. https://doi.org/10.1016/j.ijheatmasstransfer.2010.01.038
Tran TN, Wambsganss MW, France DM, 1996. Small circular-and rectangular-channel boiling with two refrigerants. International Journal of Multiphase Flow, 22(3):485–498. https://doi.org/10.1016/0301-9322(96)00002-X
Umekawa H, Ozawa M, Yano T, 2002. Boiling two-phase heat transfer of LN2 downward flow in pipe. Experimental Thermal and Fluid Science, 26(6-7):627–633. https://doi.org/10.1016/S0894-1777(02)00181-4
Wang H, Fang XD, 2014. Review of correlations of flow boiling heat transfer coefficients for nitrogen. Proceedings of the 12th International Conference on Nanochan-nels, Microchannels, and Minichannels collocated with the ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting. https://doi.org/10.1115/ICNMM2014-21212
Wang Y, Sefiane K, 2012. Effects of heat flux, vapour quality, channel hydraulic diameter on flow boiling heat transfer in variable aspect ratio micro-channels using transparent heating. International Journal of Heat and Mass Transfer, 55(9-10):2235–2243. https://doi.org/10.1016/j.ijheatmasstransfer.2012.01.044
Yang CY, Nalbandian H, Lin FC, 2018. Flow boiling heat transfer and pressure drop of refrigerants HFO-1234yf and HFC-134a in small circular tube. International Journal of Heat and Mass Transfer, 121:726–735. https://doi.org/10.1016/j.ijheatmasstransfer.2017.12.161
Yu ZJ, 2012. Study on Flow Friction and Characteristics of Heat Transfer of Liquid Nitrogen Boiling Two-phase in Vertical Circular Tube. MS Thesis, Shanghai Jiao Tong University, Shanghai, China (in Chinese).
Zhang P, Fu X, 2009. Two-phase flow characteristics of liquid nitrogen in vertically upward 0.5 and 1.0 mm micro-tubes: visualization studies. Cryogenics, 49(10):565–575. https://doi.org/10.1016/j.cryogenics.2008.10.017
Zhang QY, Chen J, Li JP, et al., 2017. Experimental study on saturated flow boiling heat transfer of nitrogen in a small-diameter horizontal heated tube. Experimental Thermal and Fluid Science, 86:257–271. https://doi.org/10.1016/j.expthermflusci.2017.04.003
Author information
Authors and Affiliations
Contributions
Qing-lian LI, Yuan WANG, and Feng-chen ZHUANG designed the research. Jian-qiang ZHANG and Jie SONG processed the corresponding data. Bei-chen ZHANG and Jie SONG wrote the first draft of the manuscript. Qing-lian LI and Yuan WANG helped to organize the manuscript. Qing-lian LI, Yuan WANG, and Bei-chen ZHANG revised and edited the final version.
Corresponding author
Ethics declarations
Bei-chen ZHANG, Qing-lian LI, Yuan WANG, Jian-qiang ZHANG, Jie SONG, and Feng-chen ZHUANG declare that they have no conflict of interest.
Additional information
Project supported by the National Natural Science Foundation of China (No. 11872373)
Rights and permissions
About this article
Cite this article
Zhang, Bc., Li, Ql., Wang, Y. et al. Experimental investigation of nitrogen flow boiling heat transfer in a single mini-channel. J. Zhejiang Univ. Sci. A 21, 147–166 (2020). https://doi.org/10.1631/jzus.A1900468
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/jzus.A1900468