化工学报 ›› 2024, Vol. 75 ›› Issue (1): 279-291.DOI: 10.11949/0438-1157.20231186
王义江1,2(), 孙莉2, 刘梦涵2, 杨金宏3, 王国元3
收稿日期:
2023-11-17
修回日期:
2023-12-25
出版日期:
2024-01-25
发布日期:
2024-03-11
通讯作者:
王义江
作者简介:
王义江(1981—),男,博士,副教授,yjwang@cumt.edu.cn
基金资助:
Yijiang WANG1,2(), Li SUN2, Menghan LIU2, Jinhong YANG3, Guoyuan WANG3
Received:
2023-11-17
Revised:
2023-12-25
Online:
2024-01-25
Published:
2024-03-11
Contact:
Yijiang WANG
摘要:
矿用空冷器是矿井降温系统常用的末端设备,优化矿用空冷器换热性能对提升矿井降温系统能效具有重要意义。采用Fluent建立了平直翅片管矿用空冷器模型,研究了翅片间距、翅片厚度、横向管间距和纵向管间距对传热因子、阻力因子和综合性能评价指标的影响规律;采用Box-Behnken响应面法,分析了双参数协同作用下传热因子、阻力因子和综合性能评价指标变化规律。结果表明:随着翅片间距、横向管间距的减小,以及翅片厚度增加,传热因子、阻力因子和综合性能评价指标逐渐增加;综合性能评价指标则随纵向管间距的增加而先增加后降低;横向管间距、翅片厚度是影响空冷器传热及流动性能最显著的两个参数,而翅片间距、纵向管间距的影响最小;得到了平直翅片管矿用空冷器的最优参数,传热因子提升16.3%、阻力因子增加26.3%、综合性能评价指标提升8.3%。研究结果可为矿用翅片空冷器设计参数优化提供指导。
中图分类号:
王义江, 孙莉, 刘梦涵, 杨金宏, 王国元. 基于响应面法的矿用翅片管空冷器参数优化[J]. 化工学报, 2024, 75(1): 279-291.
Yijiang WANG, Li SUN, Menghan LIU, Jinhong YANG, Guoyuan WANG. Optimization on parameter of plate-fin-and-tube air cooler in mines based on response surface method[J]. CIESC Journal, 2024, 75(1): 279-291.
主要结构参数 | 数值 |
---|---|
翅片间距Fp/mm | 2.6,2.8,3.0,3.2 |
翅片厚度Ft/mm | 0.1,0.2,0.3,0.4 |
换热管外径dc/mm | 10 |
横向管间距Pt/mm | 15,20,25,30 |
纵向管间距Pl/mm | 12,16,20,24 |
管排数n/排 | 2 |
入口风速u/(m/s) | 4,8,12 |
表1 空冷器主要设计参数
Table 1 Main parameters of air-cooler
主要结构参数 | 数值 |
---|---|
翅片间距Fp/mm | 2.6,2.8,3.0,3.2 |
翅片厚度Ft/mm | 0.1,0.2,0.3,0.4 |
换热管外径dc/mm | 10 |
横向管间距Pt/mm | 15,20,25,30 |
纵向管间距Pl/mm | 12,16,20,24 |
管排数n/排 | 2 |
入口风速u/(m/s) | 4,8,12 |
编号 | 因子 | 水平 | ||
---|---|---|---|---|
-1 | 0 | 1 | ||
A | 翅片间距 | 2.6 | 2.8 | 3 |
B | 翅片厚度 | 0.2 | 0.3 | 0.4 |
C | 横向管间距 | 20 | 25 | 30 |
D | 纵向管间距 | 16 | 20 | 24 |
表2 响应面因子与水平取值
Table 2 Factors and level-values for response surface
编号 | 因子 | 水平 | ||
---|---|---|---|---|
-1 | 0 | 1 | ||
A | 翅片间距 | 2.6 | 2.8 | 3 |
B | 翅片厚度 | 0.2 | 0.3 | 0.4 |
C | 横向管间距 | 20 | 25 | 30 |
D | 纵向管间距 | 16 | 20 | 24 |
序号 | A | B | C | D | j | f | j/f1/3 |
---|---|---|---|---|---|---|---|
1 | -1 | 0 | 0 | 1 | 0.00767 | 0.04281 | 0.02193 |
2 | -1 | -1 | 0 | 0 | 0.00687 | 0.03725 | 0.02057 |
3 | -1 | 0 | -1 | 0 | 0.00945 | 0.05851 | 0.02434 |
4 | -1 | 1 | 0 | 0 | 0.00851 | 0.04855 | 0.02333 |
5 | -1 | 0 | 0 | -1 | 0.00753 | 0.04147 | 0.02175 |
6 | -1 | 0 | 1 | 0 | 0.00632 | 0.03246 | 0.01981 |
7 | 0 | 0 | -1 | 1 | 0.00907 | 0.05646 | 0.02364 |
8 | 0 | 0 | 0 | 0 | 0.00735 | 0.04023 | 0.02145 |
9 | 0 | 0 | -1 | -1 | 0.00904 | 0.05582 | 0.02365 |
10 | 0 | -1 | 1 | 0 | 0.00523 | 0.02649 | 0.01754 |
11 | 0 | 0 | 1 | 1 | 0.0061 | 0.03107 | 0.0194 |
12 | 0 | -1 | 0 | 1 | 0.00656 | 0.03579 | 0.01991 |
13 | 0 | 1 | 0 | 1 | 0.00809 | 0.0462 | 0.02255 |
14 | 0 | 1 | 1 | 0 | 0.00684 | 0.03589 | 0.02074 |
15 | 0 | 0 | 0 | 0 | 0.00735 | 0.04023 | 0.02145 |
16 | 0 | 0 | 0 | 0 | 0.00735 | 0.04023 | 0.02145 |
17 | 0 | 1 | -1 | 0 | 0.00977 | 0.06265 | 0.0246 |
18 | 0 | 0 | 0 | 0 | 0.00735 | 0.04023 | 0.02145 |
19 | 0 | 0 | 0 | 0 | 0.00735 | 0.04023 | 0.02145 |
20 | 0 | -1 | 0 | -1 | 0.00645 | 0.03497 | 0.01972 |
21 | 0 | -1 | -1 | 0 | 0.00845 | 0.05119 | 0.02276 |
22 | 0 | 1 | 0 | -1 | 0.00806 | 0.04488 | 0.02268 |
23 | 0 | 0 | 1 | -1 | 0.00603 | 0.03052 | 0.0193 |
24 | 1 | 0 | -1 | 0 | 0.00894 | 0.05519 | 0.02348 |
25 | 1 | -1 | 0 | 0 | 0.00646 | 0.03482 | 0.01978 |
26 | 1 | 0 | 1 | 0 | 0.00596 | 0.02974 | 0.01924 |
27 | 1 | 0 | 0 | 1 | 0.00726 | 0.03938 | 0.02134 |
28 | 1 | 0 | 0 | -1 | 0.00714 | 0.03833 | 0.02118 |
29 | 1 | 1 | 0 | 0 | 0.00787 | 0.04372 | 0.02234 |
表3 响应面方案
Table 3 Response surface program
序号 | A | B | C | D | j | f | j/f1/3 |
---|---|---|---|---|---|---|---|
1 | -1 | 0 | 0 | 1 | 0.00767 | 0.04281 | 0.02193 |
2 | -1 | -1 | 0 | 0 | 0.00687 | 0.03725 | 0.02057 |
3 | -1 | 0 | -1 | 0 | 0.00945 | 0.05851 | 0.02434 |
4 | -1 | 1 | 0 | 0 | 0.00851 | 0.04855 | 0.02333 |
5 | -1 | 0 | 0 | -1 | 0.00753 | 0.04147 | 0.02175 |
6 | -1 | 0 | 1 | 0 | 0.00632 | 0.03246 | 0.01981 |
7 | 0 | 0 | -1 | 1 | 0.00907 | 0.05646 | 0.02364 |
8 | 0 | 0 | 0 | 0 | 0.00735 | 0.04023 | 0.02145 |
9 | 0 | 0 | -1 | -1 | 0.00904 | 0.05582 | 0.02365 |
10 | 0 | -1 | 1 | 0 | 0.00523 | 0.02649 | 0.01754 |
11 | 0 | 0 | 1 | 1 | 0.0061 | 0.03107 | 0.0194 |
12 | 0 | -1 | 0 | 1 | 0.00656 | 0.03579 | 0.01991 |
13 | 0 | 1 | 0 | 1 | 0.00809 | 0.0462 | 0.02255 |
14 | 0 | 1 | 1 | 0 | 0.00684 | 0.03589 | 0.02074 |
15 | 0 | 0 | 0 | 0 | 0.00735 | 0.04023 | 0.02145 |
16 | 0 | 0 | 0 | 0 | 0.00735 | 0.04023 | 0.02145 |
17 | 0 | 1 | -1 | 0 | 0.00977 | 0.06265 | 0.0246 |
18 | 0 | 0 | 0 | 0 | 0.00735 | 0.04023 | 0.02145 |
19 | 0 | 0 | 0 | 0 | 0.00735 | 0.04023 | 0.02145 |
20 | 0 | -1 | 0 | -1 | 0.00645 | 0.03497 | 0.01972 |
21 | 0 | -1 | -1 | 0 | 0.00845 | 0.05119 | 0.02276 |
22 | 0 | 1 | 0 | -1 | 0.00806 | 0.04488 | 0.02268 |
23 | 0 | 0 | 1 | -1 | 0.00603 | 0.03052 | 0.0193 |
24 | 1 | 0 | -1 | 0 | 0.00894 | 0.05519 | 0.02348 |
25 | 1 | -1 | 0 | 0 | 0.00646 | 0.03482 | 0.01978 |
26 | 1 | 0 | 1 | 0 | 0.00596 | 0.02974 | 0.01924 |
27 | 1 | 0 | 0 | 1 | 0.00726 | 0.03938 | 0.02134 |
28 | 1 | 0 | 0 | -1 | 0.00714 | 0.03833 | 0.02118 |
29 | 1 | 1 | 0 | 0 | 0.00787 | 0.04372 | 0.02234 |
目标函数 | 响应面预测值 | 数值计算值 | 误差 |
---|---|---|---|
传热因子j | 10×10-3 | 9.7×10-3 | 5.3% |
阻力因子f | 6.0×10-2 | 5.3×10-2 | 5.3% |
综合性能评价指标j/f1/3 | 2.5×10-2 | 2.6×10-2 | 3.8% |
表4 响应面预测值与数值计算值误差
Table 4 Error for response surface prediction value and numerical computation value
目标函数 | 响应面预测值 | 数值计算值 | 误差 |
---|---|---|---|
传热因子j | 10×10-3 | 9.7×10-3 | 5.3% |
阻力因子f | 6.0×10-2 | 5.3×10-2 | 5.3% |
综合性能评价指标j/f1/3 | 2.5×10-2 | 2.6×10-2 | 3.8% |
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