翼型印刷电路板式换热器流动传热特性数值研究

doi:10.11949/0438-1157.20240887

摘要/Abstract

摘要：

印刷电路板式换热器（PCHE）作为一种新型微通道换热器，在超临界二氧化碳（SCO₂）布雷顿循环中广泛应用。通过数值模拟分析了SCO₂在翼型PCHE通道中的热工水力性能。结果表明，改进翅片尺寸和迎角能提高表面传热系数与综合性能。随着相关参数变化程度增大，对应的表面传热系数与综合性能进一步提高。在翅片中心开槽能够降低摩擦因子，但综合性能下降。结合翅片尺寸、方位、形状的三个结构参数的正交试验表明，翅片无量纲开槽宽度对流动传热性能的影响最大。在样本范围内，翅片扩大倍数为1.4，迎角为20°且不开槽的结构综合性能最佳。不同结构的翼型PCHE流动传热性能的分析可为SCO₂冷却理论研究和PCHE典型工程应用提供参考和借鉴。

关键词: 超临界二氧化碳, 印刷电路板式换热器, 数值模拟, 流动, 传热

Abstract:

Printed circuit heat exchanger (PCHE), as a new type of efficient and compact micro-channel heat exchanger, has been widely used in supercritical carbon dioxide (SCO₂) Brayton cycle. The thermal and hydraulic performance of SCO₂ in airfoil PCHE channel was analyzed by numerical simulation. With the improvement of fin size, the surface heat transfer coefficient and comprehensive performance are improved, and with the increase of variation degree, the surface heat transfer coefficient and comprehensive performance are further improved. When the Angle of attack is changed to change the fin orientation, the surface heat transfer coefficient and comprehensive performance are higher than that when the angle of attack is 0°, and the surface heat transfer coefficient and comprehensive performance are further improved with the increase of change degree. Slotting in the center of the fin to change the shape of the fin, slotted fin arrangement can reduce the friction factor, improve the flow performance, but the comprehensive performance is reduced. The orthogonal test with the three structural parameters of fin size, orientation and shape shows that the dimensionless slot width of fin has the greatest influence on the flow heat transfer performance. In the sample range, the structure with fin expansion ratio of 1.4, angle of attack of 20° and no slot has the best comprehensive performance. The analysis of flow and heat transfer performance of PCHE with different airfoil structures can provide reference for SCO₂ cooling theory research and PCHE typical engineering application.

Key words: supercritical carbon dioxide, printed circuit heat exchanger, numerical simulation, flow, heat transfer

中图分类号:

TK 124

任冠宇, 张义飞, 李新泽, 杜文静. 翼型印刷电路板式换热器流动传热特性数值研究[J]. 化工学报, 2024, 75(S1): 108-117.

Guanyu REN, Yifei ZHANG, Xinze LI, Wenjing DU. Numerical study on flow and heat transfer characteristics of airfoil printed circuit heat exchangers[J]. CIESC Journal, 2024, 75(S1): 108-117.

图/表 12

参考文献 37

1	Saeed M, Kim M H. Thermal and hydraulic performance of SCO₂ PCHE with different fin configurations[J]. Applied Thermal Engineering, 2017, 127: 975-985.
2	Xie G N, Xu X X, Lei X L, et al. Heat transfer behaviors of some supercritical fluids: a review[J]. Chinese Journal of Aeronautics, 2022, 35(1): 290-306.
3	Lee S M, Kim K Y. A parametric study of the thermal-hydraulic performance of a zigzag printed circuit heat exchanger[J]. Heat Transfer Engineering, 2014, 35(13): 1192-1200.
4	Wu P, Ma Y D, Gao C T, et al. A review of research and development of supercritical carbon dioxide Brayton cycle technology in nuclear engineering applications[J]. Nuclear Engineering and Design, 2020, 368: 110767.
5	Li M J, Zhu H H, Guo J Q, et al. The development technology and applications of supercritical CO₂ power cycle in nuclear energy, solar energy and other energy industries[J]. Applied Thermal Engineering, 2017, 126: 255-275.
6	Song J, Wang Y X, Wang K, et al. Combined supercritical CO₂ (SCO₂) cycle and organic Rankine cycle (ORC) system for hybrid solar and geothermal power generation: thermoeconomic assessment of various configurations[J]. Renewable Energy, 2021, 174: 1020-1035.
7	Sánchez D, Chacartegui R, Muñoz de Escalona J M, et al. Performance analysis of a MCFC & supercritical carbon dioxide hybrid cycle under part load operation[J]. International Journal of Hydrogen Energy, 2011, 36(16): 10327-10336.
8	Mohammadi K, McGowan J G. Thermoeconomic analysis of multi-stage recuperative Brayton cycles(part Ⅱ): Waste energy recovery using CO₂ and organic Rankine power cycles[J]. Energy Conversion and Management, 2019, 185: 920-934.
9	Zhu H T, Xie G N, Yuan H, et al. Thermodynamic assessment of combined supercritical CO₂ cycle power systems with organic Rankine cycle or Kalina cycle[J]. Sustainable Energy Technologies and Assessments, 2022, 52: 102166.
10	Li Z Z, Liu X J, Shao Y J, et al. Research and development of supercritical carbon dioxide coal-fired power systems[J]. Journal of Thermal Science, 2020, 29(3): 546-575.
11	白万金, 徐肖肖, 吴杨杨. 低质量流速下超临界CO₂在管内冷却换热特性[J]. 化工学报, 2016, 67(4): 1244-1250.
	Bai W J, Xu X X, Wu Y Y. Cooling and heat transfer characteristics of supercritical CO₂ in tube at low mass flow rate[J]. CIESC Journal, 2016, 67(4): 1244-1250.
12	谢瑶, 李剑锐, 胡海涛. 印刷电路板式换热器内超临界甲烷流动换热特性模拟[J]. 化工学报, 2021, 72(S1): 203-209.
	Xie Y, Li J R, Hu H T. Simulation of supercritical methane flow and heat transfer characteristics in printed circuit heat exchanger[J]. CIESC Journal, 2021, 72(S1): 203-209.
13	Ahn Y, Bae S J, Kim M, et al. Review of supercritical CO₂ power cycle technology and current status of research and development[J]. Nuclear Engineering and Technology, 2015, 47(6): 647-661.
14	Ahn Y, Lee J, Kim S G, et al. Design consideration of supercritical CO₂ power cycle integral experiment loop[J]. Energy, 2015, 86: 115-127.
15	Kim I H, No H C. Thermal hydraulic performance analysis of a printed circuit heat exchanger using a helium-water test loop and numerical simulations[J]. Applied Thermal Engineering, 2011, 31(17/18): 4064-4073.
16	Kim S G, Lee Y, Ahn Y, et al. CFD aided approach to design printed circuit heat exchangers for supercritical CO₂ Brayton cycle application[J]. Annals of Nuclear Energy, 2016, 92: 175-185.
17	Ji Y X, Xing K X, Cen K F, et al. Numerical study on flow and heat transfer characteristics of trapezoidal printed circuit heat exchanger[J]. Micromachines, 2021, 12(12): 1589.
18	张海燕, 郭江峰, 淮秀兰, 等. PCHE内轴向导热对局部换热性能的影响研究[J]. 化工学报, 2019, 70(12): 4590-4598.
	Zhang H Y, Guo J F, Huai X L, et al. Investigations of axial conduction effect on local heat transfer performance in PCHE[J]. CIESC Journal, 2019, 70(12): 4590-4598.
19	张义飞, 刘舫辰, 张双星, 等. 超临界二氧化碳用印刷电路板式换热器性能分析[J]. 化工学报, 2023, 74(S1): 183-190
	Zhang Y F, Liu F C, Zhang S X, et al. Performance analysis of printed circuit heat exchanger for supercritical carbon dioxide[J]. CIESC Journal, 2023, 74(S1): 183-190.
20	Zhang L J, Li W, Zeng M, et al. Characterization of PCM-PCHE and its effect on the suppression of temperature fluctuations in the SCO₂ Brayton cycle[J]. Thermal Science and Engineering Progress, 2024, 52: 102692.
21	Jiang T, Li M J, Yang J Q. Research on optimization of structural parameters for airfoil fin PCHE based on machine learning[J]. Applied Thermal Engineering, 2023, 229: 120498.
22	Sui X, Yao S B, Liu C Y, et al. A universal ANN-based approach predicting P C H E s ' off-design performance across various operating conditions of sCO₂ RCBCs[J]. Applied Thermal Engineering, 2024, 245: 122885.
23	Xu X Y, Ma T, Li L, et al. Optimization of fin arrangement and channel configuration in an airfoil fin PCHE for supercritical CO₂ cycle[J]. Applied Thermal Engineering, 2014, 70(1): 867-875.
24	Xu X Y, Wang Q W, Li L, et al. Thermal-hydraulic performance of different discontinuous fins used in a printed circuit heat exchanger for supercritical CO₂ [J]. Numerical Heat Transfer, Part A: Applications, 2015, 68(10): 1067-1086.
25	Ma T, Xin F, Li L, et al. Effect of fin-endwall fillet on thermal hydraulic performance of airfoil printed circuit heat exchanger[J]. Applied Thermal Engineering, 2015, 89: 1087-1095.
26	Chen F, Zhang L S, Huai X L, et al. Comprehensive performance comparison of airfoil fin PCHEs with NACA 00XX series airfoil[J]. Nuclear Engineering and Design, 2017, 315: 42-50.
27	Chu W X, Li X H, Ma T, et al. Study on hydraulic and thermal performance of printed circuit heat transfer surface with distributed airfoil fins[J]. Applied Thermal Engineering, 2017, 114: 1309-1318.
28	Chu W X, Bennett K, Cheng J, et al. Thermo-hydraulic performance of printed circuit heat exchanger with different cambered airfoil fins[J]. Heat Transfer Engineering, 2020, 41(8): 708-722.
29	Li X L, Tang G H, Fan Y H, et al. Numerical analysis of slotted airfoil fins for printed circuit heat exchanger in S-CO₂ brayton cycle[J]. Journal of Nuclear Engineering and Radiation Science, 2019, 5(4): 041303.
30	Tang L H, Pan J, Sundén B. Investigation on thermal-hydraulic performance in a printed circuit heat exchanger with airfoil and vortex generator fins for supercritical liquefied natural gas[J]. Heat Transfer Engineering, 2021, 42(10): 803-823.
31	Li Z, Lu D G, Wang Z C, et al. Analysis on flow and heat transfer performance of SCO₂ in airfoil channels with different fin angles of attack[J]. Energy, 2023, 282: 128600.
32	Xi K, Zhao X, Xie Z H, et al. Thermal-hydraulic characteristics of carbon dioxide in printed circuit heat exchangers with staggered airfoil fins[J]. Processes, 2023, 11(8): 2244.
33	Wu J X, Xiao J B. Numerical study of crossed airfoil fins in a printed circuit heat exchanger[J]. Applied Thermal Engineering, 2023, 230: 120646.
34	Kuo G C, Xie J Y, Chueh C C. Numerical thermal-hydraulic analysis and multi-objective design optimization of a printed circuit heat exchanger with airfoil overlap fin channels[J]. Engineering Reports, 2024, 6(2): e12719.
35	Kwon J G, Kim T H, Park H S, et al. Optimization of airfoil-type PCHE for the recuperator of small scale brayton cycle by cost-based objective function[J]. Nuclear Engineering and Design, 2016, 298: 192-200.
36	Li H Z, Kruizenga A, Anderson M, et al. Development of a new forced convection heat transfer correlation for CO₂ in both heating and cooling modes at supercritical pressures[J]. International Journal of Thermal Sciences, 2011, 50(12): 2430-2442.
37	Chu W X, Li X H, Ma T, et al. Experimental investigation on SCO₂-water heat transfer characteristics in a printed circuit heat exchanger with straight channels[J]. International Journal of Heat and Mass Transfer, 2017, 113: 184-194.

水平序号	翅片扩大倍数M	翅片迎角θ	翅片无量纲开槽宽度ζ
1	1	0	0
2	1.1	5	0.02
3	1.2	10	0.04
4	1.3	15	0.06
5	1.4	20	0.08

水平序号	翅片扩大倍数M	翅片迎角θ	翅片无量纲开槽宽度ζ
1	1	0	0
2	1.1	5	0.02
3	1.2	10	0.04
4	1.3	15	0.06
5	1.4	20	0.08

Case	M	θ/(°)	ζ	H/(kW/(m²·K))	f×10³	PEC
M₁θ₁ζ₁	1	0	0	5.66	8.79	1.000
M₁θ₂ζ₃	1	5	0.04	5.61	8.74	0.978
M₁θ₃ζ₅	1	10	0.08	5.67	9.29	0.966
M₁θ₄ζ₂	1	15	0.02	5.86	9.22	0.989
M₁θ₅ζ₄	1	20	0.06	6.19	10.63	1.000
M₂θ₁ζ₅	1.1	0	0.08	5.51	8.57	0.971
M₂θ₂ζ₂	1.1	5	0.02	5.76	8.71	1.001
M₂θ₃ζ₄	1.1	10	0.06	5.87	9.48	0.985
M₂θ₄ζ₁	1.1	15	0	6.26	9.76	1.040
M₂θ₅ζ₃	1.1	20	0.04	6.08	10.26	0.994
M₃θ₁ζ₄	1.2	0	0.06	5.69	8.70	0.987
M₃θ₂ζ₁	1.2	5	0	6.03	8.65	1.065
M₃θ₃ζ₃	1.2	10	0.04	6.12	9.50	1.016
M₃θ₄ζ₅	1.2	15	0.08	6.18	10.61	0.992
M₃θ₅ζ₂	1.2	20	0.02	5.91	10.05	0.995
M₄θ₁ζ₃	1.3	0	0.04	5.97	8.92	1.016
M₄θ₂ζ₅	1.3	5	0.08	5.72	8.89	0.985
M₄θ₃ζ₂	1.3	10	0.02	5.89	9.25	1.008
M₄θ₄ζ₄	1.3	15	0.06	6.13	10.78	0.992
M₄θ₅ζ₁	1.3	20	0	6.73	11.03	1.113
M₅θ₁ζ₂	1.4	0	0.02	5.99	9.22	1.030
M₅θ₂ζ₄	1.4	5	0.06	6.00	9.01	1.015
M₅θ₃ζ₁	1.4	10	0	6.48	9.66	1.090
M₅θ₄ζ₃	1.4	15	0.04	6.56	10.99	1.037
M₅θ₅ζ₅	1.4	20	0.08	6.58	11.31	1.035

Case	M	θ/(°)	ζ	H/(kW/(m²·K))	f×10³	PEC
M₁θ₁ζ₁	1	0	0	5.66	8.79	1.000
M₁θ₂ζ₃	1	5	0.04	5.61	8.74	0.978
M₁θ₃ζ₅	1	10	0.08	5.67	9.29	0.966
M₁θ₄ζ₂	1	15	0.02	5.86	9.22	0.989
M₁θ₅ζ₄	1	20	0.06	6.19	10.63	1.000
M₂θ₁ζ₅	1.1	0	0.08	5.51	8.57	0.971
M₂θ₂ζ₂	1.1	5	0.02	5.76	8.71	1.001
M₂θ₃ζ₄	1.1	10	0.06	5.87	9.48	0.985
M₂θ₄ζ₁	1.1	15	0	6.26	9.76	1.040
M₂θ₅ζ₃	1.1	20	0.04	6.08	10.26	0.994
M₃θ₁ζ₄	1.2	0	0.06	5.69	8.70	0.987
M₃θ₂ζ₁	1.2	5	0	6.03	8.65	1.065
M₃θ₃ζ₃	1.2	10	0.04	6.12	9.50	1.016
M₃θ₄ζ₅	1.2	15	0.08	6.18	10.61	0.992
M₃θ₅ζ₂	1.2	20	0.02	5.91	10.05	0.995
M₄θ₁ζ₃	1.3	0	0.04	5.97	8.92	1.016
M₄θ₂ζ₅	1.3	5	0.08	5.72	8.89	0.985
M₄θ₃ζ₂	1.3	10	0.02	5.89	9.25	1.008
M₄θ₄ζ₄	1.3	15	0.06	6.13	10.78	0.992
M₄θ₅ζ₁	1.3	20	0	6.73	11.03	1.113
M₅θ₁ζ₂	1.4	0	0.02	5.99	9.22	1.030
M₅θ₂ζ₄	1.4	5	0.06	6.00	9.01	1.015
M₅θ₃ζ₁	1.4	10	0	6.48	9.66	1.090
M₅θ₄ζ₃	1.4	15	0.04	6.56	10.99	1.037
M₅θ₅ζ₅	1.4	20	0.08	6.58	11.31	1.035

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