基于结构参数分析的Gyroid换热器性能

杨晓军; 张雪丽; 李沛燃

doi:10.13700/j.bh.1001-5965.2023.0245

基于结构参数分析的Gyroid换热器性能

doi: 10.13700/j.bh.1001-5965.2023.0245

中国民航大学航空工程学院，天津 300300

基金项目: 中央高校基本科研业务费专项资金(3122019187)

详细信息

通讯作者:
E-mail：zxl982511@163.com

中图分类号: TK124
计量
- 文章访问数: 105
- HTML全文浏览量: 32
- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2023-05-12
- 录用日期: 2023-10-06
- 网络出版日期: 2024-10-09
- 整期出版日期: 2025-04-30

Performance of Gyroid heat exchanger based on structural parameters analysis

College of Aeronautical Engineering，Civil Aviation University of China，Tianjin 300300，China

Funds: The Fundamental Research Funds for the Central Universities (3122019187)

More Information

Corresponding author: E-mail：zxl982511@163.com

摘要

摘要:
为研究三重周期极小曲面(TPMS)在空气-燃油换热器中的流动换热特性，分析结构参数对换热器性能的影响。采用田口方法，针对壁厚、晶格大小和偏移尺寸3个结构参数，对努塞尔数和摩擦系数进行综合评估，并与参考的螺旋套管(TTHC)换热器性能进行对比。研究得出各个结构参数影响Gyroid换热器努塞尔数和摩擦系数方面的主次顺序，并利用矩阵分析法，确定了最优方案。结果表明：对于热侧出口温度，TTHC换热器比参考的Gyroid换热器最高降低13.13 K；对于压降，TTHC换热器比参考的Gyroid换热器降低3.02 kPa；对于性能评估系数，热侧通道最高为14.72，冷侧通道最高为0.78。
- Gyroid换热器 /
- 螺旋套管换热器 /
- 田口方法 /
- 结构参数 /
- 矩阵分析法
Abstract:
In order to study the flow and heat transfer characteristics of triple periodic minimal surfaces (TPMS) in an air-fuel heat exchanger, the influence of structural parameters on the performance of the heat exchanger was analyzed. By using the Taguchi method, the Nusselt number and friction coefficient were comprehensively evaluated for the three structural parameters of wall thickness, unit cell size, and offset size and compared with the performance of a tube-in-tube helical coil (TTHC) heat exchanger. The primary and secondary order of each structural parameter affecting the Nusselt number and friction coefficient of the Gyroid heat exchanger was obtained, and the optimal scheme was determined by using the matrix analysis method. The results show that compared with that of the TTHC heat exchanger, the hot-side outlet temperature of the Gyroid heat exchanger is reduced by up to 13.13 K, and the pressure drop of the Gyroid heat exchanger is reduced by 3.02 kPa. The highest performance evaluation coefficient of the hot-side channel is 14.72, and that of the cold-side channel is 0.78.
- Gyroid heat exchanger /
- tube-in-tube helical coil heat exchanger /
- Taguchi method /
- structural parameters /
- matrix analysis method

HTML全文

图 1 2种不同的换热器结构

Figure 1. Two different heat exchanger structures

下载: 全尺寸图片幻灯片

图 2 边界设置

Figure 2. Boundary setting

下载: 全尺寸图片幻灯片

图 3 P=4 MPa正癸烷热物理特性

Figure 3. Thermophysical properties of n-decane with P=4 MPa

下载: 全尺寸图片幻灯片

图 4 计算域网格剖面图

Figure 4. Mesh profile of calculation domain

下载: 全尺寸图片幻灯片

图 5 RGP文件准确性验证

Figure 5. Verification of RGP file accuracy

下载: 全尺寸图片幻灯片

图 6 热侧流体努塞尔数变化

Figure 6. Change of Nusselt number in hot-side fluid

下载: 全尺寸图片幻灯片

图 7 冷侧流体摩擦系数变化

Figure 7. Change of friction coefficient of cold-side fluid

下载: 全尺寸图片幻灯片

图 8 努塞尔数的信噪比平均值

Figure 8. Average signal to noise ratio of Nusselt numbers

下载: 全尺寸图片幻灯片

图 9 结构参数对摩擦系数的信噪比平均值

Figure 9. Average signal to noise ratio of structural parameters to friction coefficients

下载: 全尺寸图片幻灯片

图 10 不同质量流量下空气出口温度对比

Figure 10. Comparison of air outlet temperatures at different mass flow rates

下载: 全尺寸图片幻灯片

图 11 不同质量流量下Gyroid换热器温度云图和速度流线图

Figure 11. Temperature contour and velocity streamline plot of Gyroid heat exchanger at different mass flow rates

下载: 全尺寸图片幻灯片

图 12 不同质量流量下TTHC换热器的速度流线图

Figure 12. Velocity streamline of TTHC heat exchanger at different mass flow rates

下载: 全尺寸图片幻灯片

图 13 不同质量流量下燃油压降的变化

Figure 13. Changes in fuel pressure drop at different mass flow rates

下载: 全尺寸图片幻灯片

图 14 不同质量流量下湍流动能分布

Figure 14. Distribution of turbulence kinetic energy at different mass flow rates

下载: 全尺寸图片幻灯片

表 1 边界条件

Table 1. Boundary conditions

边界	质量流量 $\dot{m}$ /（kg·s⁻¹）	进口温度 ${T}_{{\mathrm{in}}}$ /K	出口压力P_out/MPa
冷侧	0.001，0.002，0.003，0.004	288	4.0
热侧	0.0051，0.0053，0.0056，0.0059，0.0061	623	1.0

下载: 导出CSV

表 2 结构参数

Table 2. Structural parameters

单元晶格大小/mm	结构偏移量/mm	壁厚/mm
（5，5，5）（7，7，7）（8，8，8）	0.2，0.3，0.4	0.3，0.4，0.5

下载: 导出CSV

表 3 网格无关性

Table 3. Grid independence

网格数	努塞尔数	摩擦系数
2.1×10⁶	141.838	0.0246
3.1×10⁶	141.842	0.0251
4.1×10⁶	141.844	0.0253
5.1×10⁶	141.841	0.0250

下载: 导出CSV

表 4 Gyroid换热器的努塞尔数和摩擦系数及对应的信噪比

Table 4. Nusselt number and friction coefficient of Gyroid heat exchanger and corresponding signal to noise

方案	晶格大小/mm	壁厚/mm	偏移尺寸/mm	热侧Nu	冷侧f	信噪比
方案	晶格大小/mm	壁厚/mm	偏移尺寸/mm	热侧Nu	冷侧f	Nu	f
1	5	0.3	0.2	10894.77	1.10	80.74	−0.83
2	5	0.4	0.3	10495.93	1.32	80.42	−2.41
3	5	0.5	0.4	11117.05	2.25	80.92	−7.04
4	7	0.3	0.3	12095.37	1.81	81.65	−5.15
5	7	0.4	0.4	15362.57	1.99	83.73	−5.98
6	7	0.5	0.2	12527.27	1.64	81.96	−4.30
7	8	0.3	0.4	13342.29	1.33	82.50	−2.48
8	8	0.4	0.2	11411.02	1.20	81.15	−1.58
9	8	0.5	0.3	13540.53	1.35	82.63	−2.61

下载: 导出CSV

表 5 各个水平下努塞尔数计算结果和相应的信噪比

Table 5. Nusselt number calculation results and corresponding signal to noise at each level

水平	晶格大小/mm	壁厚/mm	偏移尺寸/mm	信噪比
水平	晶格大小/mm	壁厚/mm	偏移尺寸/mm	晶格大小	壁厚	偏移尺寸
1	10835.92	12110.81	11611.02	80.69	81.63	81.28
2	13328.40	12423.17	12043.94	82.45	81.77	81.57
3	12764.61	12394.95	13273.97	82.09	81.84	82.38
极差	2492.48	312.36	1662.95	1.76	0.21	1.1

下载: 导出CSV

表 6 各个水平下摩擦系数计算结果和相应的信噪比

Table 6. Friction coefficient calculation results and corresponding signal to noise at each level

水平	晶格大小/mm	壁厚/mm	偏移尺寸/mm	信噪比
水平	晶格大小/mm	壁厚/mm	偏移尺寸/mm	晶格大小	壁厚	偏移尺寸
1	1.56	1.41	1.31	−3.43	−2.82	−2.24
2	1.81	1.50	1.49	−5.14	−3.32	−3.39
3	1.29	1.75	1.86	−2.22	−4.65	−5.17
极差	0.52	0.34	0.55	2.92	1.83	2.93

下载: 导出CSV

表 7 冷热通道的性能评估系数

Table 7. Performance evoluation coefficient for hot and cold channels

方案	冷侧性能评估系数	热侧性能评估系数
1	0.56	11.59
2	0.55	11.42
3	0.78	12.10
4	0.67	11.70
5	0.73	14.72
6	0.70	11.93
7	0.60	10.90
8	0.74	9.13
9	0.50	10.65

下载: 导出CSV

参考文献(20)

[1]	VLAHINOS M, O’HARA R. Unlocking advanced heat exchanger design and simulation with nTop platform and ANSYS CFX[EB/OL]. https://www.revolutioninsimulation.org/wp-content/uploads/2020/06/WP_HeatExchangerDesignSimulation.pdf.
[2]	REYNOLDS B W. Simulation of flow and heat transfer in 3D printable triply periodic minimal surface heat exchangers[D]. Christchurch: University of Canterbury, 2020.
[3]	WADSOE I, HOLMQVIST S. Additively manufactured heat exchangers—development and testing[D]. Lund: Lund University , 2020.
[4]	KIM J, YOO D J. 3D printed compact heat exchangers with mathematically defined core structures[J]. Journal of Computational Design and Engineering, 2020, 7(4): 527-550. doi: 10.1093/jcde/qwaa032
[5]	IYER J, MOORE T, NGUYEN D, et al. Heat transfer and pressure drop characteristics of heat exchangers based on triply periodic minimal and periodic nodal surfaces[J]. Applied Thermal Engineering, 2022, 209: 118192. doi: 10.1016/j.applthermaleng.2022.118192
[6]	DIXIT T, AL-HAJRI E, PAUL M C, et al. High performance, microarchitected, compact heat exchanger enabled by 3D printing[J]. Applied Thermal Engineering, 2022, 210: 118339. doi: 10.1016/j.applthermaleng.2022.118339
[7]	DHARMALINGAM L K, AUTE V, LING J Z. Review of triply periodic minimal surface (TPMS) based heat exchanger designs[C]//Proceedings of the 19th International Refrigeration and Air Conditioning Conference at Purdue. West Lafayette : Purdue University, 2022.
[8]	PENG H, GAO F, HU W J. Design, modeling and characterization on triply periodic minimal surface heat exchangers with additive manufacturing[C]//Proceedings of the 30th Annual International Solid Freeform Fabrication Symposium. Austin: University of Texas, 2019, 2325–2337.
[9]	LI W H, YU G P, YU Z B. Bioinspired heat exchangers based on triply periodic minimal surfaces for supercritical CO₂ cycles[J]. Applied Thermal Engineering, 2020, 179: 115686. doi: 10.1016/j.applthermaleng.2020.115686
[10]	LI W G, LI W H, YU Z B. Heat transfer enhancement of water-cooled triply periodic minimal surface heat exchangers[J]. Applied Thermal Engineering, 2022, 217: 119198. doi: 10.1016/j.applthermaleng.2022.119198
[11]	FEMMER T, KUEHNE A J C, WESSLING M. Estimation of the structure dependent performance of 3-D rapid prototyped membranes[J]. Chemical Engineering Journal, 2015, 273: 438-445. doi: 10.1016/j.cej.2015.03.029
[12]	ALTENEIJI M, ALI M I H, KHAN K A, et al. Heat transfer effectiveness characteristics maps for additively manufactured TPMS compact heat exchangers[J]. Energy Storage and Saving, 2022, 1(3): 153-161. doi: 10.1016/j.enss.2022.04.005
[13]	LIANG D, SHI C W, LI W H, et al. Design, flow characteristics and performance evaluation of bioinspired heat exchangers based on triply periodic minimal surfaces[J]. International Journal of Heat and Mass Transfer, 2023, 201: 123620. doi: 10.1016/j.ijheatmasstransfer.2022.123620
[14]	WEN J, HUANG H R, LI H W, et al. Thermal and hydraulic performance of a compact plate finned tube air-fuel heat exchanger for aero-engine[J]. Applied Thermal Engineering, 2017, 126: 920-928. doi: 10.1016/j.applthermaleng.2017.07.103
[15]	LIU P H, WANG R T, LIU S B, et al. Experimental study on the thermal-hydraulic performance of a tube-in-tube helical coil air–fuel heat exchanger for an aero-engine[J]. Energy, 2023, 267: 126626. doi: 10.1016/j.energy.2023.126626
[16]	HERRING N R, HEISTER S D. On the use of wire-coil inserts to augment tube heat transfer[J]. Journal of Enhanced Heat Transfer, 2009, 16(1): 19-34. doi: 10.1615/JEnhHeatTransf.v16.i1.20
[17]	杜默, 孟宝, 潘丰, 等. 考虑制造约束的印刷电路板式换热器优化设计[J]. 北京航空航天大学学报, 2022, 48(10): 1994-2005. DU M, MENG B, PAN F, et al. Optimal design of printed circuit heat exchanger considering manufacturing constraints[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(10): 1994-2005(in Chinese).
[18]	TANDEL S, RAMMOHAN S. Design for additive manufacturing of high performance heat exchangers[D]. Hamilton: Mcmaster University, 2022: 77-78.
[19]	JIANG J H, WANG F H, YANG X, et al. Evaluation of the long-term performance of the deep U-type borehole heat exchanger on different geological parameters using the Taguchi method[J]. Journal of Building Engineering, 2022, 59: 105122. doi: 10.1016/j.jobe.2022.105122
[20]	魏效玲, 薛冰军, 赵强. 基于正交试验设计的多指标优化方法研究[J]. 河北工程大学学报(自然科学版), 2010, 27(3): 95-99. WEI X L, XUE B J, ZHAO Q. Optimization design of the stability for the plunger assembly of oil pumps based on multi-target orthogonal test design[J]. Journal of Hebei University of Engineering (Natural Science Edition), 2010, 27(3): 95-99(in Chinese).