Flow and heat transfer characteristics of supercritical CO2 in vertical tube

doi:10.11949/j.issn.0438-1157.20180695

Abstract

Abstract:

The heat transfer characteristics of supercritical carbon dioxide in vertical upward tubes under uniform heating were studied experimentally. The inner diameter of the experimental section is 10 mm. The experimental parameters are: pressure 7.5—21 MPa, heat flux 50—413 kW·m^-2, mass flux 519—1500 kg·m^-2·s^-1. The flow heat transfer characteristics in the riser tube were tested under uniform heating conditions. The effects of heat flux, pressure and buoyancy force on the heat transfer characteristics in the circular tube were analyzed. The results show that with the increase of heat flux the heat transfer deterioration occurs, and the peak point of wall temperature moves towards the inlet section. Heat transfer deterioration occurs when the fluid temperature is less than the pseudo-critical temperature and the wall temperature is greater than the pseudo-critical temperature. When increasing pressure, the deterioration of heat transfer is restrained due to the change of physical property tends to be gentle. Buoyancy forces are bad for heat transfer when heat transfer deterioration occurs. Based on the experimental data, the physical properties change and buoyancy influence on heat transfer are considered comprehensively, new supercritical carbon dioxide heat transfer correlations is established, within the range of the experiment condition, deviation from the mean and standard deviation of the predicted values and experimental values were 1.2% and 16.29% respectively.

Key words: supercritical carbon dioxide, flow, heat transfer correlation, experiment, heat transfer

摘要：

在压力为7.5～21 MPa，热通量为50～413 kW·m^-2，质量流速为519～1500 kg·m^-2·s^-1的实验参数范围内，对超临界CO₂在内径为10.0 mm的垂直上升管内的流动传热特性进行了均匀加热条件实验研究。分析了热通量、压力和浮升力对圆管内传热特性的影响规律。实验结果表明：随着热通量的增加，传热出现恶化现象，并且随着热通量的增加壁温峰值点向入口段移动。传热恶化发生在流体温度小于拟临界温度而壁面温度大于拟临界温度附近。增大压力时由于物性的变化趋于平缓，传热恶化被抑制。当传热恶化发生时，浮升力对传热恶化有明显的影响。基于实验数据，综合考虑物性变化和浮升力对传热的影响，建立了新的超临界二氧化碳传热关联式，在实验工况范围内，预测值与实验值的平均偏差和标准差分别为1.2%和16.29%。

关键词: 超临界二氧化碳, 流动, 传热关联式, 实验, 传热

CLC Number:

TK 124

Bingguo ZHU, Xinming WU, Liang ZHANG, Enhui SUN, Haisong ZHANG, Jinliang XU. Flow and heat transfer characteristics of supercritical CO₂ in vertical tube[J]. CIESC Journal, 2019, 70(4): 1282-1290.

朱兵国, 吴新明, 张良, 孙恩慧, 张海松, 徐进良. 垂直上升管内超临界CO₂ 流动传热特性研究[J]. 化工学报, 2019, 70(4): 1282-1290.

Figures/Tables 10

Fig.1 Change of CO2 physical properties at 8 MPa and 15 MPa

Fig.2 Experimental system diagram

Fig.3 Experimental section

Fig.4 Experimental section physical map

Fig.5 Effect of heat flux on heat transfer

Fig.6 Effect of pressure on heat transfer

Fig.7 Effect of buoyancy on heat transfer

Fig.8 Comparison between predicted values and experimental values of new correlated Nu

Fig.9 Comparison between different correlations and experimental data in this paper

Table 1 Heat transfer correlations from different authors

$N u = 0.0069 R e b 0.9 P r b ˉ 0.66 ρ w ρ b 0.43 1 + 2.4 L / d$

$P r b ˉ = μ c p ˉ λ b, c p ˉ = i w - i b T w, i n - T b$

水

Jackson

$N u = 0.0183 R e b 0.82 P r b ˉ 0.5 ρ w ρ b 0.3$

$P r ˉ = μ c p ˉ λ, c p ˉ = i w - i b T w, i n - T b$

二氧化碳

Kimet al.

$N u = 0.226 R e b 1.174 P r b 1.057 ρ w ρ b 0.571 c p ˉ c p, b 1.032 A c 0.489 B u 0.0021$

$A c = q + R e b 0.625 μ w μ b ρ b ρ w 0.5$

$B u = G r q R e b 3.425 P r b 0.8 μ w μ b ρ b ρ w 0.5$

$G r q = g β b d 4 q w / υ b 2 λ$

二氧化碳

Table 1 Heat transfer correlations from different authors

作者

传热关联式

工质

Bishopet al.

$N u = 0.0069 R e b 0.9 P r b ˉ 0.66 ρ w ρ b 0.43 1 + 2.4 L / d$

$P r b ˉ = μ c p ˉ λ b, c p ˉ = i w - i b T w, i n - T b$

水

Jackson

$N u = 0.0183 R e b 0.82 P r b ˉ 0.5 ρ w ρ b 0.3$

$P r ˉ = μ c p ˉ λ, c p ˉ = i w - i b T w, i n - T b$

二氧化碳

Kimet al.

$N u = 0.226 R e b 1.174 P r b 1.057 ρ w ρ b 0.571 c p ˉ c p, b 1.032 A c 0.489 B u 0.0021$

$A c = q + R e b 0.625 μ w μ b ρ b ρ w 0.5$

$B u = G r q R e b 3.425 P r b 0.8 μ w μ b ρ b ρ w 0.5$

$G r q = g β b d 4 q w / υ b 2 λ$

二氧化碳

References 25

1	Hu L , Chen D Q , Huang Y P , et al . Investigation on the performance of the supercritical Brayton cycle with CO₂-based binary mixture as working fluid for an energy transportation system of a nuclear reactor[J]. Energy, 2015, 89: 874-886.
2	董力 . 超临界二氧化碳发电技术概述[J]. 中国环保产业, 2017, 5: 48-52.
	Dong L . Summarization on power technology of supercritical carbon dioxide[J]. China Environmental Protection Industry, 2017, 5: 48-52.
3	Zhang X R , Yamaguchi H . An experimental study on evacuated tube solar collector using supercritical CO₂ [J]. Applied Thermal Engineering, 2008, 28: 1225–1233.
4	Moullec Y L . Conceptual study of a high efficiency coal-fired power plant with CO₂ capture using a supercritical CO₂ Brayton cycle[J]. Energy, 2013, 49: 32-46.
5	刘生晖, 黄彦平, 刘光旭, 等 . 竖直圆管内超临界二氧化碳强迫对流传热实验研究[J]. 核动力工程, 2017, 38(1): 1-5.
	Liu S H , Huang Y P , Liu G X , et al . Investigation of correlation for forced convective heat transfer to supercritical carbon dioxide flowing in a vertical tube[J]. Nuclear Power Engineering, 2017, 38(1): 1-5.
6	Kim D E , Kim M H . Experimental study of the effects of flow acceleration and buoyancy on heat transfer in a supercritical fluid flow in a circular tube[J]. Nuclear Engineering and Design, 2010, 240: 3336-3349.
7	Bae Y Y . Mixed convection heat transfer to carbon dioxide flowing upward and downward in a vertical tube and an annular channel[J]. Nuclear Engineering and Design, 2011, 241: 3164-3177.
8	Kim D E , Kim M H . Experimental investigation of heat transfer in vertical upward and downward supercritical CO₂ flow in a circular tube[J]. International Journal of Heat and Fluid Flow, 2011, 32: 176-191.
9	Shiralkar B S , Griffith P . The effect of swirl inlet conditions flow direction and tube diameter on the heat transfer to fluids at supercritical pressure[J]. Journal of Heat Transfer, 1970, 92(3): 465-471.
10	Shiralkar B S , Griffith P . Deterioration in heat transfer to fluids at supercritical pressure and high heat fluxes[J]. Journal of heat Transfer, 1969, 91(1): 27-36.
11	Liu G X , Huang Y P , Wang J F , et al . Effect of buoyancy and flow acceleration on heat transfer of supercritical CO₂ in natural circulation loop[J]. International Journal of Heat and Mass Transfer, 2015, 91: 640-646.
12	Kim H G , Kim H Y , Song J H , et al . Heat transfer to supercritical pressure carbon dioxide flowing upward through tubes and a narrow annulus passage[J]. Progress in Nuclear Energy, 2008, 50: 518-525.
13	Xu J L , Yang C Y , Zhang W , et al .Turbulent convective heat transfer of CO₂ in a helical tube at near-critical pressure[J]. International Journal of Heat and Mass Transfer, 2015, 80: 748-758.
14	王淑香, 张伟, 牛志愿, 等 .超临界压力下CO₂在螺旋管内的混合对流换热[J].化工学报, 2013, 64(11): 3917-3926.
	Wang S X , Zhang W , Niu Z Y , et al . Mixed convective heat transfer to supercritical carbon dioxide in helically coiled tube[J]. CIESC Journal, 2013, 64(11): 3917-3926.
15	Xu R N , Luo F , Jiang P X . Experimental research on the turbulent convection heat transfer of supercritical pressure CO₂ in a serpentine vertical mini tube[J]. International Journal of Heat and Mass Transfer, 2015, 91: 552-561.
16	Jiang P X , Zhang Y , Shi R F . Experimental and numerical investigation of convection heat transfer of CO₂ at supercritical pressures in a vertical mini-tube[J]. International Journal of Heat and Mass Transfer, 2008, 51: 3052-3056.
17	Jiang P X , Liu B , Zhao C R , et al . Convection heat transfer of supercritical pressure carbon dioxide in a vertical micro tube from transition to turbulent flow regime[J]. International Journal of Heat and Mass Transfer, 2013, 56: 741-749.
18	Liao S M , Zhao T S . An experimental investigation of convection heat transfer to supercritical carbon dioxide in miniature tubes[J]. International Journal of Heat and Mass Transfer, 2002, 45: 5025-5034.
19	Li Z H , Jiang P X , Zhao C R , et al . Experimental investigation of convection heat transfer of CO₂ at supercritical pressures in a vertical circular tube[J]. Exp.Therm. Fluid, 2010, 34: 1162-1171.
20	Liao S M , Zhao T S . Measurements of heat transfer coefficients from supercritical carbon dioxide flowing in horizontal mini/micro channels[J]. Journal of Heat Transfer, 2002, 124(3): 413-420.
21	Bae Y Y . Mixed convection heat transfer to carbon dioxide flowing upward and downward in a vertical tube and an annular channel[J]. Nuclear Engineering and Design, 2011, 241: 3164-3177.
22	Bae Y Y , Kim H Y , Kang D J . Forced and mixed convection heat transfer to supercritical CO₂ vertically flowing in a uniformly-heated circular tube[J]. Experimental Thermal and Fluid Science, 2010, 34: 1295-1308.
23	刘生晖, 黄彦平, 刘光旭, 等 . 浮升力因子和流动加速因子改进及其在超临界流体混合对流传热中的应用[J]. 中国科学: 技术科学, 2017, 47(2): 176-189.
	Liu S H , Huang Y P , Liu G X , et al . New improvements of buoyancy and flow acceleration parameters and their applications on mixed convective heat transfer to supercritical fluids[J]. Sci. Sin. Tech., 2017, 47(2): 176-189.
24	Bishop A A, Sandberg R O , Tong L S . Forced convective heat transfer to water at near critical temperature and supercritical pressures[R]. Pittsburgh, USA, 1964.
25	Jackson J D . Fluid flow and convective heat transfer to fluids at supercritical pressure[J]. Nucl. Eng. Des., 2013, 264: 24-40.

[1]	Shaohua ZHOU, Feilong ZHAN, Guoliang DING, Hao ZHANG, Yanpo SHAO, Yantao LIU, Zheming GAO. Experimental study of flow noise in short tube throttle valve and noise reduction measures [J]. CIESC Journal, 2023, 74(S1): 113-121.
[2]	Shuangxing ZHANG, Fangchen LIU, Yifei ZHANG, Wenjing DU. Experimental study on phase change heat storage and release performance of R-134a pulsating heat pipe [J]. CIESC Journal, 2023, 74(S1): 165-171.
[3]	Yifei ZHANG, Fangchen LIU, Shuangxing ZHANG, Wenjing DU. Performance analysis of printed circuit heat exchanger for supercritical carbon dioxide [J]. CIESC Journal, 2023, 74(S1): 183-190.
[4]	Aiqiang CHEN, Yanqi DAI, Yue LIU, Bin LIU, Hanming WU. Influence of substrate temperature on HFE7100 droplet evaporation process [J]. CIESC Journal, 2023, 74(S1): 191-197.
[5]	Mingxi LIU, Yanpeng WU. Simulation analysis of effect of diameter and length of light pipes on heat transfer [J]. CIESC Journal, 2023, 74(S1): 206-212.
[6]	Zhiguo WANG, Meng XUE, Yushuang DONG, Tianzhen ZHANG, Xiaokai QIN, Qiang HAN. Numerical simulation and analysis of geothermal rock mass heat flow coupling based on fracture roughness characterization method [J]. CIESC Journal, 2023, 74(S1): 223-234.
[7]	He JIANG, Junfei YUAN, Lin WANG, Guyu XING. Experimental study on the effect of flow sharing cavity structure on phase change flow characteristics in microchannels [J]. CIESC Journal, 2023, 74(S1): 235-244.
[8]	Chao HU, Yuming DONG, Wei ZHANG, Hongling ZHANG, Peng ZHOU, Hongbin XU. Preparation of high-concentration positive electrolyte of vanadium redox flow battery by activating vanadium pentoxide with highly concentrated sulfuric acid [J]. CIESC Journal, 2023, 74(S1): 338-345.
[9]	Cheng CHENG, Zhongdi DUAN, Haoran SUN, Haitao HU, Hongxiang XUE. Lattice Boltzmann simulation of surface microstructure effect on crystallization fouling [J]. CIESC Journal, 2023, 74(S1): 74-86.
[10]	Mingkun XIAO, Guang YANG, Yonghua HUANG, Jingyi WU. Numerical study on bubble dynamics of liquid oxygen at a submerged orifice [J]. CIESC Journal, 2023, 74(S1): 87-95.
[11]	Ruitao SONG, Pai WANG, Yunpeng WANG, Minxia LI, Chaobin DANG, Zhenguo CHEN, Huan TONG, Jiaqi ZHOU. Numerical simulation of flow boiling heat transfer in pipe arrays of carbon dioxide direct evaporation ice field [J]. CIESC Journal, 2023, 74(S1): 96-103.
[12]	Yitong LI, Hang GUO, Hao CHEN, Fang YE. Study on operating conditions of proton exchange membrane fuel cells with non-uniform catalyst distributions [J]. CIESC Journal, 2023, 74(9): 3831-3840.
[13]	Kaijie WEN, Li GUO, Zhaojie XIA, Jianhua CHEN. A rapid simulation method of gas-solid flow by coupling CFD and deep learning [J]. CIESC Journal, 2023, 74(9): 3775-3785.
[14]	Yubing WANG, Jie LI, Hongbo ZHAN, Guangya ZHU, Dalin ZHANG. Experimental study on flow boiling heat transfer of R134a in mini channel with diamond pin fin array [J]. CIESC Journal, 2023, 74(9): 3797-3806.
[15]	Jiaqi YUAN, Zheng LIU, Rui HUANG, Lefu ZHANG, Denghui HE. Investigation on energy conversion characteristics of vortex pump under bubble inflow [J]. CIESC Journal, 2023, 74(9): 3807-3820.

Flow and heat transfer characteristics of supercritical CO₂ in vertical tube

垂直上升管内超临界CO₂ 流动传热特性研究

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 10

References 25

Related Articles 15

Recommended Articles

Metrics

Comments