Optimization design of cesium heat pipe based on orthogonal test

doi:10.16085/j.issn.1000-6613.2024-0919

Abstract

Abstract:

Medium-temperature heat pipes have potential applications in the fields of secondary heat exchange in nuclear reactors, medium-temperature constant temperature control and thermal protection of aircraft, etc. It is of great significance to carry out the study of precious metal heat pipes using numerical simulation and optimize their full-parameter design. First, a porous reflux model was added to the adaptive phase change model by UDF, and the accuracy of the model was verified by comparing the experimental data and the conclusion of the base model. Secondly, the orthogonal test method was introduced to study the order of importance of the influence of each factor on the performance of the heat pipe under the interaction of all factors, and the result proved that the order of significance of the influence of the factors within the range of the selected working conditions was inclination angle>aspect ratio>liquid filling ratio>mesh number, and the optimal design conditions were 17.18 aspect ratio, 15% liquid filling ratio, inclination angle δ=45°, and 50-mesh screens. And under this condition, the overall thermal resistance was only 15.6% of the worse working conditions, and the heat transfer performance was significantly enhanced. Finally, by comparing and analyzing the phase distribution, temperature distribution and dry burning phenomenon inside the heat pipe and porous structure from the beginning of the complete startup to the quasi-steady state process, it was proved that the distribution of condensate inside the porous structure of the heat pipe wall under the optimal design parameters could be maintained uniformly and continuously, which effectively avoided local overheating of the wall and significantly improved the temperature uniformity of the heat pipe. At the same time, the matching of the parameters such as length-to-diameter ratio and liquid filling rate made the effective heat transfer length of heat pipe up to 100%.

Key words: heat pipe, orthogonal design, inclination angle, liquid filling ratio, enhanced heat transfer, aspect ratio, mesh

摘要：

中温热管在核反应堆二次换热、中温恒温控制及飞行器热防护等领域中均有潜在应用，利用数值模拟开展贵金属热管研究并对其进行全参数优化设计具有重要意义。首先，通过UDF在自适应相变模型基础上添加多孔回流模型，并对比实验数据及基础模型结论，验证了模型的准确性。其次，引入正交试验法研究全因素相互作用下各因素对热管性能影响的重要性顺序，结果证明在选取工况范围内各因素的影响显著性顺序为倾角＞长径比＞充液率＞丝网目数，获得最优设计工况为长径比17.18、充液率15%、倾角δ=45°、丝网50目，此时整体热阻仅为较差工况的15.6%，传热性能显著增强。最后，通过对比分析饱和启动伊始至准稳态过程中，热管及多孔结构内部的相态分布、温度分布、干烧现象等，证明最优设计参数下热管壁面多孔结构内冷凝液分布能够维持均匀且连续，有效避免了壁面的局部过热，显著提高了热管的温度均匀性。同时，长径比和充液率等参数的匹配使得热管换热有效长度可达100%。

关键词: 热管, 正交试验, 倾角, 充液率, 强化换热, 长径比, 丝网

CLC Number:

TK172.4

ZHAO Jilong, MA Yinghua, HUANG Guoqing, SHEN Mingyu, CHEN Hongxia. Optimization design of cesium heat pipe based on orthogonal test[J]. Chemical Industry and Engineering Progress, 2024, 43(S1): 94-105.

赵吉隆, 马英华, 黄国庆, 沈明芋, 陈宏霞. 基于正交试验的铯热管优化设计[J]. 化工进展, 2024, 43(S1): 94-105.

Figures/Tables 11

References 32

1	JOSE Jobin, KUMAR HOTTA Tapano. A comprehensive review of heat pipe: Its types, incorporation techniques, methods of analysis and applications[J]. Thermal Science and Engineering Progress, 2023, 42: 101860.
2	LIU Shiyu, HU Jianying, AN Ruifeng, et al. A special-shaped sodium heat pipe with a “bridge-type” artery for coupling free-piston Stirling generator and fission reactor[J]. Applied Thermal Engineering, 2024, 245: 122768.
3	ANAND R S, LI Ang, HUANG Wenbo, et al. Super-long gravity heat pipe for geothermal energy exploitation — A comprehensive review[J]. Renewable and Sustainable Energy Reviews, 2024, 193: 114286.
4	ALDEBIE Faisal, Kevin FERNANDEZ-COSIALS, HASSAN Yassin. Thermal-mechanical safety analysis of heat pipe micro reactor[J]. Nuclear Engineering and Design, 2024, 420: 113003.
5	韩冶, 柴宝华, 王泽鸣, 等. 中温热管工质选型与试验研究[J]. 科技创新导报, 2019, 16(13): 101-103, 105.
	HAN Ye, CHAI Baohua, WANG Zeming, et al. Selection and experimental study of medium-temperature heat pipe working fluid [J]. Science and Technology Innovation Herald, 2019, 16(13): 101-103, 105.
6	LI S N, HUANG J C, MA B B, et al. Optimized core design and shield analysis of a medium temperature heat pipe cooled reactor[J]. Nuclear Engineering and Design, 2023, 414: 112605.
7	WONG Shwin-Chung, DENG Maoshen. Performance tests on triple composite mesh-groove-powder wicks in a visualizable flat-plate heat pipe[J]. International Journal of Heat and Mass Transfer, 2024, 219: 124912.
8	SU Zipei, HU Yanxin, ZHENG Shaobin, et al. Recent advances in visualization of pulsating heat pipes: A review[J]. Applied Thermal Engineering, 2023, 221: 119867.
9	JIANG Weijia, TANG Aikun, FAN Gaoting, et al. Heat transfer characteristics of non-uniform channels flat heat pipe with micro pillar arrays and its application in power battery cooling[J]. Applied Thermal Engineering, 2024, 249: 123422.
10	LIU Wenbin, ZHOU Tao, HUANG Dongli, et al. Heat transfer performance of high-temperature heat pipe startup in small heat pipe reactors[J]. Annals of Nuclear Energy, 2024, 202: 110477.
11	ALIREZA MOSTAFAVI Seyed, KHALILI Mohammad, SAEED KESHVARI TABATABAEI Seyed, et al. Design and fabrication of a heat pipe and thermoelectric cooler-based food delivery box for vehicles[J]. Applied Thermal Engineering, 2024, 249: 123401.
12	SEO JinHyeuk, KANG Sukkyung, KIM Kyuil, et al. Compact heat pipe heat exchanger for waste heat recovery within a low-temperature range[J]. International Communications in Heat and Mass Transfer, 2024, 155: 107550.
13	CUI Jiarong, LING Weisong, ZHOU Wei, et al. Influence of microchannel condenser with different change rate of cross-sections along the flow field on the anti-gravity performance of loop heat pipe[J]. International Journal of Heat and Mass Transfer, 2024, 224: 125305.
14	PAN Rui, ZHANG Kefan, WANG Weixiang, et al. Heat transfer characteristics analysis of heat pipe based on COMSOL[J]. Annals of Nuclear Energy, 2024, 204: 110549.
15	MA Yugao, WANG Xueqing, YU Hongxing, et al. Capillary limit of a sodium screen-wick heat pipe[J]. Applied Thermal Engineering, 2023, 232: 120972.
16	MA Yugao, ZHANG Yingnan, YU Hongxing, et al. Capillary evaporating film model for a screen-wick heat pipe[J]. Applied Thermal Engineering, 2023, 225: 120155.
17	LI Wanrun, LIANG Zhengzhao, LI Li, et al. Modeling of heat transfer and thermal cracking in brittle materials using Finite-Discrete Element Method (FDEM) with a heat pipe model and node binding scheme[J]. Engineering Analysis with Boundary Elements, 2024, 165: 105768.
18	GUO Ziang, LIU Limin, LIU Ziyin, et al. Development and application of a transient analysis code for heat pipe cooled reactor systems[J]. Nuclear Engineering and Design, 2024, 419: 112979.
19	LIANG Yifu, BAI Jingjing, YAN Caiman, et al. Experimental investigation on a 0.5-metre-long aluminum flat heat pipe for thermal management in electronic devices[J]. Applied Thermal Engineering, 2024, 241: 122211.
20	HUANG Pei-Hsun, Taehwan AHN, MANERA Annalisa, et al. Investigation of key parameters for the operation of a sodium heat pipe with visualization using X-ray radiography[J]. Applied Thermal Engineering, 2024, 236: 121867.
21	赵吉隆, 郭宇翔, 陈宏霞, 等. 竖直铯热管传热特性的实验和数值模拟[J]. 化工进展, 2024, 43(4): 1711-1719.
	ZHAO Jilong, GUO Yuxiang, CHEN Hongxia, et al. Experimental and numerical simulation on heat transfer characteristics of vertical cesium heat pipes[J]. Chemical Industry and Engineering Progress, 2024, 43(4): 1711-1719.
22	WANG Dahai, MA Yugao, HONG Fangjun. Three-dimensional CFD simulation of geyser boiling in high-temperature sodium heat pipe[J]. Nuclear Engineering and Technology, 2024, 56(6): 2029-2038.
23	WANG Xiaoyuan, SHI Yuwen, LIU Tiancheng, et al. CFD modeling of liquid-metal heat pipe and hydrogen inactivation simulation[J]. International Journal of Heat and Mass Transfer, 2022, 199: 123490.
24	WANG Xiaoyuan, ZHU Yuezhao, WANG Yinfeng. Development of pressure-based phase change model for CFD modelling of heat pipes[J]. International Journal of Heat and Mass Transfer, 2019, 145: 118763.
25	陈家绪. 重力热管传热特性的数值模拟与实验研究及热管式空预器优化设计[D]. 太原: 太原理工大学, 2022.
	CHEN Jiaxu. Numerical simulation and experimental study on heat transfer characteristics of gravity heat pipe and optimal design of heat pipe air preheater[D]. Taiyuan: Taiyuan University of Technology, 2022.
26	JIN Ik Jae, BANG In Cheol. Analysis of geyser boiling in liquid metal heat pipe: Impact on startup and shutdown, fuel temperature, and heat removal performance[J]. International Journal of Heat and Mass Transfer, 2024, 224: 125379.
27	惠博, 侯宏艺, 张涛, 等. 圆柱形环状脉动热管烧干特性[J]. 化工进展, 2023, 42(S1): 33-40.
	Bo XI/HUI), HOU Hongyi, ZHANG Tao, et al. Drying characteristics of cylindrical annular pulsating heat pipe [J]. Chemical Industry and Engineering Progress, 2023, 42(S1): 33-40.
28	史方哲, 甘云华. 超薄热管启动特性和传热性能数值模拟[J]. 化工学报, 2023, 74(7): 2814-2823.
	SHI Fangzhe, GAN Yunhua. Numerical simulation of start-up characteristics and heat transfer performance of ultra-thin heat pipe[J]. CIESC Journal, 2023, 74(7): 2814-2823.
29	李思卓. 液氮温区脉动热管流动特性及传热机理研究[D]. 杭州: 浙江大学, 2023.
	LI Sizhuo. Study on flow characteristics and heat transfer mechanism of pulsating heat pipe in liquid nitrogen temperature zone[D]. Hangzhou: Zhejiang University, 2023.
30	YU Dali, LIU Jian, HU Chongju, et al. Key features and highly effective prediction of complete startup from frozen state for high-temperature heat pipe in heat pipe reactor[J]. Applied Thermal Engineering, 2024, 236: 121766.
31	古新, 郑志阳, 罗元坤, 等. 基于正交试验的扭转流换热器壳程结构优化[J]. 化工进展, 2019, 38(4): 1688-1695.
	GU Xin, ZHENG Zhiyang, LUO Yuankun, et al. Optimization on shell side structure of twisty flow heat exchanger based on orthogonal experiment[J]. Chemical Industry and Engineering Progress, 2019, 38(4): 1688-1695.
32	郭宇翔. 高效中温铯热管传热传质特性的实验及数值模拟研究[D]. 北京: 华北电力大学, 2023.
	GUO Yuxiang. Experimental and numerical simulation study on heat and mass transfer characteristics of high efficiency medium temperature cesium heat pipe[D]. Beijing: North China Electric Power University, 2023.

试验	影响因素				数值计算结果
试验	长径比	充液率	倾角	丝网目数	均温平均差	热阻	A值
case1	15.62	8.8%	90°	50	44.48	0.08	1.11
case2	15.62	12%	45°	100	39.14	0.06	1.09
case3	15.62	15%	25°	200	52.41	0.08	1.11
case4	15.62	18%	10°	400	139.16	0.18	1.27
case5	17.18	8.8%	45°	200	56.12	0.09	1.12
case6	17.18	12%	90°	400	35.66	0.04	1.06
case7	17.18	15%	10°	50	97.81	0.14	1.22
case8	17.18	18%	25°	100	35.96	0.04	1.06
case9	18.75	8.8%	25°	400	60.65	0.09	1.13
case10	18.75	12%	10°	200	225.78	0.31	1.44
case11	18.75	15%	90°	100	55.39	0.10	1.15
case12	18.75	18%	45°	50	39.57	0.05	1.08
case13	20.31	8.8%	10°	100	227.74	0.31	1.51
case14	20.31	12%	25°	50	83.11	0.13	1.19
case15	20.31	15%	45°	400	54.48	0.09	1.13
case16	20.31	18%	90°	200	66.71	0.13	1.19

试验	影响因素				数值计算结果
试验	长径比	充液率	倾角	丝网目数	均温平均差	热阻	A值
case1	15.62	8.8%	90°	50	44.48	0.08	1.11
case2	15.62	12%	45°	100	39.14	0.06	1.09
case3	15.62	15%	25°	200	52.41	0.08	1.11
case4	15.62	18%	10°	400	139.16	0.18	1.27
case5	17.18	8.8%	45°	200	56.12	0.09	1.12
case6	17.18	12%	90°	400	35.66	0.04	1.06
case7	17.18	15%	10°	50	97.81	0.14	1.22
case8	17.18	18%	25°	100	35.96	0.04	1.06
case9	18.75	8.8%	25°	400	60.65	0.09	1.13
case10	18.75	12%	10°	200	225.78	0.31	1.44
case11	18.75	15%	90°	100	55.39	0.10	1.15
case12	18.75	18%	45°	50	39.57	0.05	1.08
case13	20.31	8.8%	10°	100	227.74	0.31	1.51
case14	20.31	12%	25°	50	83.11	0.13	1.19
case15	20.31	15%	45°	400	54.48	0.09	1.13
case16	20.31	18%	90°	200	66.71	0.13	1.19

评价指标	k₁	k₂	k₃	k₄	K₁×10⁴	K₂×10⁴	K₃×10⁴	K₄×10⁴	F值
均温平均差	275.22	225.58	384.41	432.06	75.75	5.09	14.55	18.67	4.56
	389.02	383.72	260.12	281.42	151.33	14.72	6.77	7.92	2.3
	202.27	189.34	232.16	690.51	40.91	3.58	5.39	47.68	29.73
	264.99	358.25	401.05	289.98	70.22	12.83	16.08	8.41	1.97
热阻	0.42	0.33	0.57	0.67	0.18	0.11	0.32	0.45	10.58
	0.59	0.56	0.42	0.42	0.35	0.31	0.18	0.17	3.37
	0.37	0.31	0.35	0.96	0.14	0.09	0.12	0.92	43.98
	0.41	0.54	0.61	0.42	0.17	0.29	0.38	0.17	4.43
干烧温度	4.59	4.47	4.82	5.03	21.11	20.04	23.23	25.39	13.55
	4.89	4.79	4.63	4.62	23.87	22.98	21.46	21.34	3.29
	4.53	4.44	4.5	5.45	20.55	19.72	20.29	29.75	50.74
	4.61	4.83	4.89	4.61	21.24	23.29	23.88	21.26	4.55

评价指标	k₁	k₂	k₃	k₄	K₁×10⁴	K₂×10⁴	K₃×10⁴	K₄×10⁴	F值
均温平均差	275.22	225.58	384.41	432.06	75.75	5.09	14.55	18.67	4.56
	389.02	383.72	260.12	281.42	151.33	14.72	6.77	7.92	2.3
	202.27	189.34	232.16	690.51	40.91	3.58	5.39	47.68	29.73
	264.99	358.25	401.05	289.98	70.22	12.83	16.08	8.41	1.97
热阻	0.42	0.33	0.57	0.67	0.18	0.11	0.32	0.45	10.58
	0.59	0.56	0.42	0.42	0.35	0.31	0.18	0.17	3.37
	0.37	0.31	0.35	0.96	0.14	0.09	0.12	0.92	43.98
	0.41	0.54	0.61	0.42	0.17	0.29	0.38	0.17	4.43
干烧温度	4.59	4.47	4.82	5.03	21.11	20.04	23.23	25.39	13.55
	4.89	4.79	4.63	4.62	23.87	22.98	21.46	21.34	3.29
	4.53	4.44	4.5	5.45	20.55	19.72	20.29	29.75	50.74
	4.61	4.83	4.89	4.61	21.24	23.29	23.88	21.26	4.55

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