射流通道内方柱发热器件的几何设计

饶凯; 谢志辉; 关潇男; 孟凡凯; 戈延林

doi:10.21656/1000-0887.420166

射流通道内方柱发热器件的几何设计

doi: 10.21656/1000-0887.420166

饶凯^1,,
谢志辉^1,,
关潇男^1,,
孟凡凯^1,,
戈延林^{2, 3,}

1.
海军工程大学动力工程学院，武汉 430033
2.
武汉工程大学热科学与动力工程研究所，武汉 430205
3.
武汉工程大学机电工程学院，武汉 430205

基金项目: 国家自然科学基金（51979278; 51579244; 51506220）

详细信息

作者简介:
饶凯（1989—），男，硕士生（E-mail：superior2345@ qq.com）

谢志辉（1977—），男，教授，博士生导师（通讯作者. E-mail：zhihui-xie@163.com）

关潇男（1997—），男，硕士生（E-mail：2601282251@qq.com）

孟凡凯（1982—），男，讲师（E-mail：782601028@qq.com）

戈延林（1979—），男，副教授（E-mail：geyali9@hotmail.com）

中图分类号: O35; TK123
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- 文章访问数: 575
- HTML全文浏览量: 214
- PDF下载量: 45
- 被引次数: 0
出版历程
- 收稿日期: 2021-06-16
- 修回日期: 2022-07-05
- 网络出版日期: 2022-09-28
- 刊出日期: 2022-09-30

Geometry Design of Square Column Heating Devices in Jet Channels

RAO Kai^1
,,
XIE Zhihui^1
,,
GUAN Xiaonan^1
,,
MENG Fankai^1
,,
GE Yanlin^{2, 3
,}

1.
College of Power Engineering, Naval University of Engineering, Wuhan 430033, P.R.China
2.
Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, P.R.China
3.
School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P.R.China

摘要

摘要:
基于构形理论，建立了二维射流通道内导热基座上方柱离散热源的散热优化模型。给定离散热源的总纵截面面积和热源高度为约束条件，以系统最高温度和熵产率为优化目标，以各热源的长度比为优化变量进行了几何设计，并分析了射流速度和热源间距对热源最优构形的影响。当射流速度和热源间距给定时，均存在最优长度比使系统最高温度和熵产率最低，但对应不同射流速度和热源间距的最优长度比不同。研究结果可为方柱发热器件的热设计提供理论指导。
- 构形理论 /
- 电子器件冷却 /
- 熵产生最小化原理 /
- 流固耦合 /
- 广义热力学优化
Abstract:
Based on the constructal theory, a heat dissipation optimization model for discrete square column heating devices on thermal conduction bases in 2D jet channels was established. With the total longitudinal section area and the discrete heat source height as constraints, the maximum temperature and entropy production rate of the system were taken as optimization objectives, and the length ratio of each heating device was taken as the optimization variables in the geometry design. The effects of the jet velocity and the heating device spacing on the constructal optimization of the heating device were analyzed. When the jet velocity and the heating device spacing are fixed, there will exist optimal length ratios to minimize the maximum temperature and the entropy production rate of the system, but the optimal length ratios corresponding to different jet velocities and different heating devices spacings are different. The results provide a theoretical guidance for the thermal design of square column heating devices.
- constructal theory /
- electronics cooling /
- entropy generation minimization principle /
- fluid-solid coupling /
- generalized thermodynamic optimization

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图 1 热源几何模型图

Figure 1. The geometric model for heat sources

下载: 全尺寸图片幻灯片

图 2 整体网格图

Figure 2. The overall grid pattern

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图 3 γ= 0.2时，U_j对T_max与β关系的影响

Figure 3. Effects of U_j on the relationship of T_max vs. β for γ= 0.2

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图 4 γ= 0.3时，U_j对T_max与β关系的影响

Figure 4. Effects of U_j on the relationship of T_max vs. β for γ= 0.3

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图 5 γ= 0.4时，U_j对T_max与β关系的影响

Figure 5. Effects of U_j on the relationship of T_max vs. β for γ= 0.4

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图 6 γ=0.2, β= 2,U_j=3 m/s时，温度的等值线图

Figure 6. The temperature contour map for γ=0.2, β=2, U_j=3 m/s

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图 7 γ=0.3, β=0.8, U_j= 3 m/s时，温度的等值线图

Figure 7. The temperature contour map for γ=0.3, β=0.8, U_j=3 m/s

下载: 全尺寸图片幻灯片

图 8 γ=0.4, β=0.4, U_j= 3 m/s时，温度的等值线图

Figure 8. The temperature contour map for γ=0.4, β=0.4, U_j=3 m/s

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图 9 γ=0.2时，U_j对${\dot S_{ {\rm{gen}}}}$与β关系的影响

Figure 9. Effects of U_j on the relationship of ${\dot S_{ {\rm{gen}}}}$ vs. β for γ=0.2

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图 10 γ=0.3时，U_j对${\dot S_{ {\rm{gen}}}}$与β关系的影响

Figure 10. Effects of U_j on the relationship of ${\dot S_{ {\rm{gen}}}}$ vs. β for γ=0.3

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图 11 γ=0.4时，U_j对${\dot S_{ {{\rm{gen}}}}}$与β关系的影响

Figure 11. Effects of U_j on the relationship of ${\dot S_{ {{\rm{gen}}}}}$ vs. β for γ=0.4

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图 12 γ=0.2, β=2, U_j= 3 m/s时，通道纵截面的速度分布图

Figure 12. The velocity profile of the channel longitudinal section for γ=0.2, β=2, U_j= 3 m/s

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图 13 γ=0.3, β=0.8, U_j= 3 m/s时，通道纵截面的速度分布云图

Figure 13. The velocity profile of the channel longitudinal section for γ=0.3, β=0.8, U_j = 3 m/s

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图 14 γ=0.4, β=0.4, U_j= 3 m/s时，通道纵截面的速度分布云图

Figure 14. The velocity profile of the channel longitudinal section for γ=0.4, β=0.4, U_j= 3 m/s

下载: 全尺寸图片幻灯片

表 1 网格独立性检验

Table 1. The grid independence test

order number	number of units N	T_max/K	$\| {( {T_{ {\rm{\max} } }^{j + 1} - T_{ {\rm{\max} } }^j} )/T_{ {\rm{\max } } }^j} \|/\text{%}$
1	29 085	432.67	–
2	69 132	434.12	0.34
3	108 055	434.97	0.2

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表 2 模型有效性验证

Table 2. Validation of the model

$\tilde H$	0.1	0.2
b	0.465 2	0.483 5
$\tilde T$^[22]	7.233 9	13.650 9
$\tilde T$	7.191 5	13.534 3

下载: 导出CSV

表 3 不同U_j时，T_max,min及对应的几何参数

Table 3. T_max_,min and its corresponding geometric parameters for different U_j values

U_j/(m·s⁻¹)	γ	β_opt	T_max,min/K
1	0.2	2	433
1	0.3	0.8	417.5
1	0.4	0.4	410.5
2	0.2	2	376
2	0.3	0.8	362.8
2	0.4	0.4	360.2
3	0.2	2	354.3
3	0.3	0.8	342.6
3	0.4	0.4	341.5

下载: 导出CSV

表 4 不同U_j时，${\dot S_{ {\rm{gen}},\min }}$及对应的几何参数

Table 4. ${\dot S_{ {\rm{gen}},\min }}$ and its corresponding geometric parameters for different U_j values

U_j/(m·s⁻¹)	γ	β_opt	${\dot S_{ {\rm{gen,\min } } } }/({\rm{W \cdot K} }^{-1})$
1	0.2	0.4	0.12575
1	0.3	0.9	0.14298
1	0.4	0.4	0.13021
2	0.2	0.3	0.07972
2	0.3	0.8	0.088153
2	0.4	0.3	0.083012
3	0.2	0.4	0.060294
3	0.3	0.8	0.06559
3	0.4	0.4	0.07022

下载: 导出CSV

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