三维点阵结构拓扑开发研究进展及其对流传热性能对比

丁一; 吴威涛; 封锋; 李书磊; 闫宏斌

doi:10.21656/1000-0887.450184

三维点阵结构拓扑开发研究进展及其对流传热性能对比

doi: 10.21656/1000-0887.450184

丁一^1,,
吴威涛¹,
封锋¹,
李书磊²,
闫宏斌^1, ,

1.
南京理工大学机械工程学院特种动力技术教育部重点实验室，南京 210094
2.
西北工业大学航海学院，西安 710072

基金项目:

中央高校基本科研业务费 309231B8801

详细信息

作者简介:
丁一(2000—)，男，硕士生(E-mail: dingyivip@njust.edu.cn)

通讯作者:
闫宏斌(1988—)，男，副教授，硕士生导师(通讯作者. E-mail: hbyan@njust.edu.cn)

中图分类号: O35;V19
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- 文章访问数: 373
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- 被引次数: 0
出版历程
- 收稿日期: 2024-06-21
- 修回日期: 2024-07-12
- 刊出日期: 2024-08-01

Topology Review and Convective Heat Transfer Comparison of 3D Lattice Structures

DING Yi^1
,,
WU Weitao¹,
FENG Feng¹,
LI Shulei²,
YAN Hongbin^{1
, ,}

1.
Key Laboratory of Special Engine Technology, Ministry of Education, School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, P.R.China
2.
School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, P.R.China

摘要

摘要: 系统综述了国内外三维点阵结构拓扑开发的研究现状，分别在等流量、等压降和等泵功条件下对比了其总体传热与散热性能. 在模型验证的基础上，针对12种具有相同特征尺寸和孔隙率的点阵结构，分别在6种不同点阵材质、两种不同取向下开展了数值模拟与性能对比. 结果表明：点阵拓扑、点阵材质及运行工况对其传热和散热性能优劣具有显著影响；不同条件下，性能最优的点阵不尽相同. 在等流量下，A向节点偏移X点阵和A向八叉树点阵的传热性能最优，A向节点偏移X点阵的散热性能最优. 在等压降下，A向节点偏移X点阵和B向节点偏移X点阵的传热性能最优，B向立方点阵和B向节点偏移X点阵的散热性能最优. 在等泵功下，A向节点偏移X点阵和B向矩形杆金字塔点阵的传热性能最优，B向节点偏移X点阵和B向矩形杆金字塔点阵的散热性能最优. 在固定孔隙率和特征尺寸下构建了现有点阵结构的传热与散热性能数据库，可作为新型点阵拓扑开发的比较基准，同时，可为不同工程设计中点阵结构的选型提供指导.
- 周期性多孔材料 /
- 对流传热 /
- 压降 /
- 性能对比
Abstract: The topologies of 3D lattice structures were reviewed and their overall heat transfer and heat dissipation performances compared, under the fixed mass flow rate, pressure drop and pumping power conditions, respectively. In total 12 lattice structures, with 6 different materials and in 2 orientations, were compared. The conjugate heat transfer in the lattice structures was solved with validated numerical models. Numerical results indicate that, the lattice topology, the lattice material and the operating conditions significantly affect the heat transfer and cooling performances. The optimal lattice differs under different comparison conditions. Under the fixed mass flow rate condition, the shifted X-lattice in orientation A and the octet lattice in orientation A exhibit the best heat transfer performance; the shifted X-lattice in orientation A also has the best cooling performance. Under the fixed pressure drop condition, the shifted X-lattices in both orientations A and B exhibit the best heat transfer performance; while the cubic lattice in orientation B and the shifted X-lattice in orientation B show the best cooling performance. Under the fixed pumping power condition, the shifted X-lattice in orientation A and the rectangular pyramid lattice in orientation B exhibit the best heat transfer performance; the shifted X-lattice in orientation B and the rectangular pyramid lattice in orientation B show the best cooling performance. The heat transfer and cooling performance database under a given lattice porosity and A characteristic length was presented as the benchmark for performance comparison of newly developed lattice structures. In addition, the database can benefit various engineering designs in selecting the appropriate lattice structures.
- periodic cellular material /
- convective heat transfer /
- pressure drop /
- performance comparison

HTML全文

图 1 点阵结构在对流换热与热管理领域的潜在应用

Figure 1. Potential applications of lattice structures in the fields of convective heat transfer and thermal management

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图 2 文献目前报道的三维周期性点阵结构

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 2. Schematic illustration of the 3D periodic lattice structures reported in the literatures

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图 3 具有圆截面杆件的点阵结构形貌参数示意图

Figure 3. Schematic illustration of morphology parameters of lattice structures with circular ligaments

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图 4 具有矩形截面杆件的点阵结构形貌参数示意图

Figure 4. Schematic illustration of morphology parameters of lattice structures with rectangular ligaments

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图 5 本文所对比12种点阵结构的传热面积

Figure 5. Heat transfer areas of 12 lattice structures compared in this paper

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图 6 点阵结构导热与对流耦合传热计算域及边界条件

Figure 6. Calculation domains and boundary conditions of thermal and convective conjugate heat transfer of lattice structures

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图 7 本文数值模拟所采用的代表性计算网格(以八叉树点阵为例)

Figure 7. A representative mesh used in numerical simulation (with the octet lattice as an example)

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图 8 本文数值模拟与文献中实验测量所得总体Nusselt数与阻力系数对比

Figure 8. Comparison of the overall Nusselt numbers and friction factors between numerical simulation in this paper and experimental data in the literatures

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图 9 不同材料点阵结构在等流量条件下的总体传热性能对比

Figure 9. Overall heat transfer performance comparison between lattice structures with different materials under fixed flow rate conditions

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图 10 固体材料导热系数对点阵结构总体传热性能的影响

Figure 10. Effects of thermal conductivities of lattice structure materials on the overall heat transfer performances

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图 11 等流量下的总体阻力特性对比

Figure 11. Overall resistance characteristics comparison under fixed flow rate conditions

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图 12 等流量下点阵结构热沉的无量纲热阻对比

Figure 12. Dimensionless thermal resistance comparison of lattice structures in heat sink under fixed flow rate conditions

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图 13 不同材料点阵结构在等压降条件下的总体传热性能对比

Figure 13. Overall heat transfer performance comparison of lattice structures with different materials under fixed pressure drop conditions

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图 14 等压降下点阵结构热沉的无量纲热阻对比

Figure 14. Dimensionless thermal resistance comparison of lattice structures in heat sink under fixed pressure drop conditions

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图 15 不同材料点阵结构在等泵功条件下的总体传热性能对比

Figure 15. Overall heat transfer performance comparison of lattice structures with different materials under fixed pumping power conditions

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图 16 等泵功下点阵结构热沉的无量纲热阻对比

Figure 16. Dimensionless thermal resistance comparison of lattice structures in heat sink under fixed pumping power conditions

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表 1 具有圆截面杆件的点阵结构几何参数

Table 1. Morphological parameters of lattice structures with circular ligaments

parameter	value
parameter	CL	FCCL	BCCL	OL	TL	KL	CTL	CPL
d/mm	1.872	1.271	1.032	0.788	1.124	1.927	1.927	1.746
H/mm	9.66	9.66	9.66	9.66	9.66	9.66	9.66	9.66
l/mm	9.66	9.66	9.66	9.66	9.66	20.49	20.49	12.0
t_s/mm	0.90	0.90	0.90	0.90	0.90	0.90	0.90	0.90
w/mm	9.66	9.66	9.66	9.66	9.66	11.83	11.83	12.00
ε/%	92.18	92.18	92.18	92.18	92.18	92.18	92.18	92.18

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表 2 具有矩形截面杆件的点阵结构几何参数

Table 2. Morphological parameters of lattice structures with rectangular ligaments

parameter	value				parameter	value
parameter	RTL	RPL	XL	SXL	parameter	RTL	RPL	XL	SXL
b₁/mm	-	-	2.70	2.70	t_l/mm	0.91	0.91	0.91	0.91
b₂/mm	-	-	2.31	2.31	t_s/mm	0.90	0.90	0.90	0.90
H/mm	9.66	9.66	9.66	9.66	w/mm	11.83	12.00	12.00	12.00
l/mm	20.49	12.00	12.00	12.00	w_j/mm	2.95	4.15	4.15	4.15
r₁/mm	0.30	0.30	0.30	0.30	w_l/mm	3.00	2.16	2.16	2.16
r₂/mm	2.00	4.30	4.30	4.30	α/(°)	47	50	50	50
r₃/mm	0.55	1.05	1.05	1.05	β/(°)	58.53	42	42	42
r₄/mm	0.80	1.00	1.00	1.00	ε/%	92.18	92.18	92.18	92.18

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表 3 本文数值模拟所采用的工况参数与热物性参数

Table 3. Operating conditions and thermo-physical properties used in numerical simulation

parameter	value
air density ρ_f/(kg/m³)	1.184
air dynamic viscosity μ_f×10⁵/(Pa·s)	1.849 2
air thermal conductivity k_f/(W·m^-1·K^-1)	0.026 1
air specific heat capacity c_pf/(J·kg^-1·K^-1)	1 004
solid thermal conductivity k_s/(W·m^-1·K^-1)	236
heat flux q″/(W/m²)	10 000
inlet air temperature T_{f, in}/℃	25
Reynolds number Re_H	2 692~11 087

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表 4 24个数值模型总网格数统计表

Table 4. Statistics of the meshes generated for the 24 numerical models

PCS	total number of elements		PCS	total number of elements
PCS	OA	OB	PCS	OA	OB
CL	11 761 825	23 978 300	CTL	22 242 132	48 769 106
FCCL	19 669 169	39 259 294	CPL	27 112 651	53 354 748
BCCL	20 654 487	41 704 475	RTL	22 373 833	31 553 690
OL	23 690 031	13 271 641	RPL	25 810 821	25 232 115
TL	19 525 317	38 512 603	XL	25 165 166	50 420 874
KL	21 348 441	47 000 798	SXL	24 923 744	53 660 065

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