以超临界R134a流体为工质,测试其在内径2 mm圆管内,流体压强p=4.3~4.9MPa,质量流速G=550~1650kg/(m2·s),热流密度q=25~75kW/m2(电加热模拟热源)工况条件下的流动阻力。根据摩擦压降曲线特征,将其划分为类液相区、类两相区和类气相区3个区域。分析压强、质量流速和热流密度等工况参数对3个区域内的摩擦压降和摩擦因子的影响规律。在类两相区,摩擦因子曲线存在一个明显的峰值特性。将试验数据与已有的摩擦因子关联式进行对比,并进行定量评价。结果显示,已有关联式的预测误差普遍偏大,尤其是在类两相区域。为此,提出一个同时包含密度、黏度和平均普朗特数修正的超临界流体摩擦因子关联式,与试验数据对比显示,97%预测数据均处于±20%的误差范围内。
Abstract
In this study, the pressure drop of supercritical R134a fluid are tested in heated circular tubes with inner diameter of 2 mm. The test parameter ranges are as follows: fluid pressure MPa, mass flux G=550-1650 kg/(m2·s), and heat flux q=25-75kW/m2 (simulated by electrical heating). According to the typical features of friction pressure drop curve, it can be divided into three regimes, namely the liquid-phase-like regime, two-phase-like regime, and gas-phase-like regime. The influence of operating parameters (pressure, mass flux and heat flux) on friction pressure drop and friction factor are both analyzed in the above-mentioned three regimes. In two-phase-like regimes, there is an obvious peak in friction factor curves. Typical friction factor correlations for supercritical fluids are compared with the experimental data, and are quantitatively evaluated. The results show that the prediction errors of these correlations are generally large, especially in two-phase-like regimes. Therefore, a modified friction factor correlation is proposed for supercritical fluid, in which a density term, a viscosity term, and an average Prandtl number are included. The new correlation is compared with the experimental data, and 97% of the predicted data are within the error range of ±20%.
关键词
可再生能源 /
超临界流体 /
压降 /
多相流 /
摩擦因子 /
超临界有机朗肯循环
Key words
renewable energy /
supercritical fluids /
pressure drop /
multiphase flow /
friction factor /
supercritical organic Rankine cycle
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参考文献
[1] DAS D, KAZIM M, SADR R, et al.Optimal hydrocarbon based working fluid selection for a simple supercritical organic Rankine cycle[J]. Energy conversion and management, 2021, 243: 114424.
[2] CHEN X X, LIU C, LI Q B, et al.Dynamic behavior of supercritical organic Rankine cycle using zeotropic mixture working fluids[J]. Energy, 2020, 191: 116576.
[3] YAN J G, LIU S C, ZHENG S M, et al.Experimental study on heat-transfer performance of supercritical-pressure R134a and predictions based on artificial neural network[J]. The journal of supercritical fluids, 2023, 192: 105809.
[4] 黄喜军, 胥建群, 张方, 等. 太阳能超临界有机朗肯循环系统的性能研究[J]. 太阳能学报, 2017, 38(11): 3091-3098.
HUANG X J, XU J Q, ZHANG F, et al.Study of thermodynamic performance of solar supercritical organic Rankine cycle[J]. Acta energiae solaris sinica, 2017, 38(11): 3091-3098.
[5] 张家琪, 张伟, 任雨, 等. 换热器压降对ORC发电系统的影响[J]. 太阳能学报, 2020, 41(3): 242-247.
ZHANG J Q, ZHANG W, REN Y, et al.Research of heat exchanger pressure loss on ORC power generation systems[J]. Acta energiae solaris sinica, 2020, 41(3): 242-247.
[6] WANG L, PAN Y C, DER LEE J, et al.Experimental investigation in the pressure drop characteristics of supercritical carbon dioxide in the uniformly heated horizontal miniature tubes[J]. The journal of supercritical fluids, 2020, 162: 104839.
[7] ZHAO C R, JIANG P X.Experimental study of in-tube cooling heat transfer and pressure drop characteristics of R134a at supercritical pressures[J]. Experimental thermal and fluid science, 2011, 35(7): 1293-1303.
[8] WANG H, BI Q C, WU G, et al.Experimental investigation on pressure drop of supercritical water in an annular channel[J]. The journal of supercritical fluids, 2018, 131: 47-57.
[9] PIORO I L, DUFFEY R B, DUMOUCHEL T J.Hydraulic resistance of fluids flowing in channels at supercritical pressures (survey)[J]. Nuclear engineering and design, 2004, 231(2): 187-197.
[10] FANG X D, XU Y, SU X H, et al.Pressure drop and friction factor correlations of supercritical flow[J]. Nuclear engineering and design, 2012, 242: 323-330.
[11] KIRILLOV P L, YUREV S Y, BOBKOV V P.Handbook of thermal-hydraulic calculations[M]. Moscow, Russia: Energoatomizdat Publishing House, 1990.
[12] MIKHEEV M A.Fundamentals of heat transfer[M]. Moscow, Russia: Gosenergoizdat Publishing House, 1956.
[13] POPOV V.Theoretical calculation of the heat transfer and friction resistance for carbon dioxide in the supercritical region[C]//Proceedings of the Second All-Soviet Union Conference on Heat and Mass Transfer. Minsk, Belarus, 1967
[14] YAMASHITA T, MORI H, YOSHIDA S, et al.Heat transfer and pressure drop of a supercritical pressure fluid flowing in a tube of small diameter[J]. Memoirs of the Faculty of Engineering, Kyushu University, 2003, 63(4): 227-244.
[15] 张海松, 徐进良, 朱鑫杰, 等. 超临界CO2竖直光管内向上流动摩擦压降特性[J]. 科学通报, 2020, 65(32): 3635-3643.
ZHANG H S, XU J L, ZHU X J, et al.Friction pressure drop characteristics of supercritical CO2 flowing upward in a vertical smooth tube[J]. Chinese science bulletin, 2020, 65(32): 3635-3643.
[16] 王鹏飞, 宫厚军, 张尧立, 等. 超临界二氧化碳摩擦系数实验研究[J]. 核动力工程, 2021, 42(S1): 33-39.
WANG P F, GONG H J, ZHANG Y L, et al.Experimental study on friction coefficient of supercritical carbon dioxide[J]. Nuclear power engineering, 2021, 42(S1): 33-39.
[17] 吴新明, 朱兵国, 张良, 等. 圆管内超临界CO2的阻力特性[J]. 化工学报, 2018, 69(12): 5024-5033.
WU X M, ZHU B G, ZHANG L, et al.Resistance characteristics of supercritical CO2 in circular tube[J]. CIESC journal, 2018, 69(12): 5024-5033.
基金
国家自然科学基金(51909213); 陕西省教育厅科研计划(21JY029); 陕西高校青年科技创新团队(2020-29)