Study on thermal equalization of spider web thermal structure based on topology optimization method

doi:10.19799/j.cnki.2095-4239.2023.0672

Abstract

Abstract:

The bionic spider cooling structure is widely employed in dissipating heat from high heat flux chips, yet it faces challenges with uneven temperature distribution. To enhance the temperature uniformity within the spider web's thermal structure, this study introduces variable density topology optimization to refine the design. The optimization process aims to minimize temperature variance across the design domain, utilizing Holmz density filtering for numerical stability and hyperbolic tangential projection to define clear flow paths. Analysis of the heat transfer efficiency in topologically optimized flow paths, considering various inlet and outlet configurations and shapes across different design domains, revealed that a staggered multi-inlet and multi-outlet arrangement significantly enhances temperature equalization. Additionally, it was observed that the average temperature of the topological channel increases when the design domain comprises fewer than 10 edges. Comparative simulations using the finite element analysis method were conducted on a traditional structure (M1) and three-dimensional topological reconstructions (M2 and M3) with varying edge numbers in the design domain. The results demonstrated superior temperature uniformity in M3, which has 10 edges, compared to M1 and M2 with 6 edges. At a Reynolds number (Re) of 1800, M3 exhibited an 18.48% reduction in thermal resistance and a 25% decrease in the heat source surface temperature difference compared to M1, achieving a performance evaluation criteria value of 1.22. This study not only validates the effectiveness of the topology optimization method in enhancing the thermal structure's temperature equalization but also advocates for its broader application in thermal management systems.

Key words: spider structure, topology optimization, numerical simulation, homothermy

CLC Number:

TG 156

Kan ZHANG, Ting FU, Jiangbo WANG. Study on thermal equalization of spider web thermal structure based on topology optimization method[J]. Energy Storage Science and Technology, 2024, 13(5): 1721-1730.

Figures/Tables 17

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References 23

1	朱俞翡. 电子芯片散热技术及其发展研究[J]. 产业科技创新, 2023, 5(1): 59-61.
	ZHU Y F. Research on heat dissipation technology of electronic chips and its development[J]. Industrial Technology Innovation, 2023, 5(1): 59-61.
2	TUCKERMAN D B, PEASE R F W. High-performance heat sinking for VLSI[J]. IEEE Electron Device Letters, 1981, 2(5): 126-129.
3	CAO X, LIU H L, SHAO X D, et al. Thermal performance of double serpentine minichannel heat sinks: Effects of inlet-outlet arrangements and through-holes[J]. International Journal of Heat and Mass Transfer, 2020, 153: 119575.
4	李昊. 高热流密度散热器结构拓扑优化技术研究[D]. 上海: 上海理工大学, 2020.
	LI H. Structural topology design optimization of cooling device under high heat flux[D]. Shanghai: University of Shanghai for Science & Technology, 2020.
5	刘显茜, 孙安梁, 田川. 基于仿生翅脉流道冷板的锂离子电池组液冷散热[J]. 储能科学与技术, 2022, 11(7): 2266-2273.
	LIU X X, SUN A L, TIAN C. Research on liquid cooling and heat dissipation of lithium-ion battery pack based on bionic wings vein channel cold plate[J]. Energy Storage Science and Technology, 2022, 11(7): 2266-2273.
6	李莹莹. 仿蜂窝状换热器的拓扑优化设计研究[D]. 西安: 西安电子科技大学, 2022.
	LI Y Y. Research on topology optimization design of honeycomb like heat sink[D]. Xi'an: Xidian University, 2022.
7	ZENG S, KANARGI B, LEE P S. Experimental and numerical investigation of a mini channel forced air heat sink designed by topology optimization[J]. International Journal of Heat and Mass Transfer, 2018, 121: 663-679.
8	JOO Y, LEE I, KIM S J. Topology optimization of heat sinks in natural convection considering the effect of shape-dependent heat transfer coefficient[J]. International Journal of Heat and Mass Transfer, 2017, 109: 123-133.
9	SUBRAMANIAM V, DBOUK T, HARION J L. Topology optimization of conductive heat transfer devices: An experimental investigation[J]. Applied Thermal Engineering, 2018, 131: 390-411.
10	吴龙文, 卢婷, 陈加进, 等. 芯片散热微通道仿生拓扑结构研究[J]. 电子学报, 2018, 46(5): 1153-1159.
	WU L W, LU T, CHEN J J, et al. A study of bionic micro-channel topology for chip cooling[J]. Acta Electronica Sinica, 2018, 46(5): 1153-1159.
11	TAN H, WU L W, WANG M Y, et al. Heat transfer improvement in microchannel heat sink by topology design and optimization for high heat flux chip cooling[J]. International Journal of Heat and Mass Transfer, 2019, 129: 681-689.
12	谭慧. 相控阵天线冷却微通道拓扑结构及传热特性研究[D]. 成都: 电子科技大学, 2020.
	TAN H. Study on the topology and heat transfer performance of the microchannel for phased array antenna cooling[D]. Chengdu: University of Electronic Science and Technology of China, 2020.
13	王宁. 仿生蛛网型微通道散热器结构研究及参数优化[D]. 太原: 中北大学, 2022.
	WANG N. Research on structure and parameter optimization of bionic cobweb micro-channel radiator[D]. Taiyuan: North University of China, 2022.
14	赵金宏. 基于微通道拓扑优化的大面积轻质结构高效换热特性研究[D]. 哈尔滨: 哈尔滨工业大学, 2022.
	ZHAO J H. Research on efficient heat transfer characteristics of large-area lightweight structure based on topology optimization of microchannel[D]. Harbin: Harbin Institute of Technology, 2022.
15	张越, 孔得朋, 平平. 液冷板抑制锂离子电池组热失控蔓延性能及优化设计[J]. 储能科学与技术, 2022, 11(8): 2432-2441.
	ZHANG Y, KONG D P, PING P. Performance and design optimization of a cold plate for inhibiting thermal runaway propagation of lithium-ion battery packs[J]. Energy Storage Science and Technology, 2022, 11(8): 2432-2441.
16	YAJI K, YAMADA T, KUBO S, et al. A topology optimization method for a coupled thermal–fluid problem using level set boundary expressions[J]. International Journal of Heat and Mass Transfer, 2015, 81: 878-888.
17	程雪涛, 徐向华, 梁新刚. 温度场与温度梯度场的均匀化[J]. 中国科学(E辑: 技术科学), 2009, 39(10): 1730-1735.
	CHENG X T, XU X H, LIANG X G. Homogenization of temperature field and temperature gradient field[J]. Science in China (Series E (Technological Sciences)), 2009, 39(10): 1730-1735.
18	CUI Y, TAKAHASHI T, MATSUMOTO T. An exact volume constraint method for topology optimization via reaction-diffusion equation[J]. Computers & Structures, 2023, 280: 106986.
19	LAZAROV B S, SIGMUND O. Filters in topology optimization based on Helmholtz-type differential equations[J]. International Journal for Numerical Methods in Engineering, 2011, 86(6): 765-781.
20	SATO Y, YAJI K, IZUI K, et al. An optimum design method for a thermal-fluid device incorporating multiobjective topology optimization with an adaptive weighting scheme[J]. Journal of Mechanical Design, 2018, 140(3): 031402.
21	廖琪, 曹小林, 邓谊柏, 等. 有轨电车超级电容模组液冷散热仿真分析[J]. 储能科学与技术, 2024, 13(2): 702-711.
	LIAO Q, CAO X L, DENG Y B, et al. Heat dissipation simulation of tram supercapacitor module[J]. Energy Storage Science and Technology, 2024, 13(2): 702-711.
22	WANG F W, LAZAROV B S, SIGMUND O. On projection methods, convergence and robust formulations in topology optimization[J]. Structural and Multidisciplinary Optimization, 2011, 43(6): 767-784.
23	陈冰超. 相控阵天线液冷散热拓扑优化研究[D]. 西安: 西安电子科技大学, 2022.
	CHEN B C. Research on topology optimization of liquid-cooled heat dissipation for phased array antenna[D]. Xi'an: Xidian University, 2022.

参数	数值
热源/(W/m²)	1e-6
流体黏度/(Pa·s)	0.001
流体密度/(kg/m³)	1000
流体导热系数/[W/(m·K)]	0.6
流体比热容/[J/(kg·K)]	4200
固体密度/(kg/m³)	2700
固体导热系数/[W/(m·K)]	237
固体比热容/[J/(kg·K)]	900
进口温度/K	293.15
投影系数	6
收敛误差条件	1e-6
达西数	1e-4

符号	具体数值/mm	符号	具体数值/mm
H整体高度	4.5	L_ch通道宽度	0.8
H_ch流道高度	1.5	W_ch入口宽度	1.5
L整体长度	20	W整体宽度	18

项目	网格1/相对(网格2)误差	网格2	网格3/相对(网格2)误差
网格数量	647021	1453017	2865300
基板平均温度/K	345.58/0.20%	344.89	345.06/0.05%
压降/Pa	199.27/1.05%	197.2	198.99/0.91%

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