Optimization on parameter of plate-fin-and-tube air cooler in mines based on response surface method

doi:10.11949/0438-1157.20231186

Abstract

Abstract:

Mine air coolers are commonly used terminal equipment in mine cooling systems. Optimizing the heat exchange performance of mine air coolers is of great significance to improving the energy efficiency of mine cooling systems. A numerical model of a plate-fin-and-tube air cooler was developed by using Fluent software. The study focused on investigating the impact of fin pitch, fin thickness, transverse pitch and longitudinal pitch on heat transfer factor, friction factor and compressive performance evaluation index through numerical analysis. Furthermore, the Box-Behnken response surface method was employed to analyze the changes of the heat transfer factor, friction factor and comprehensive performance evaluation index under the synergistic effect of dual parameters. The results indicate that a great rise in the heat transfer factor, friction factor and comprehensive performance evaluation index as the fin pitch and transverse pitch decreased. Additionally, an increase in the fin thickness led to an increase in these factors. The comprehensive performance evaluation index exhibited an initial increase, followed by a subsequent decrease as the longitudinal pitch increased. The transverse pitch and fin thickness were found to have a significant influence on the heat transfer factor, friction factor and comprehensive performance evaluation index. However, the fin pitch and longitudinal pitch had minimal impacts on these factors. The response surface method was employed to determine the optimal structural parameters for the plate-fin-and-tube air cooler. The heat transfer factor and friction factor exhibited a notable increase of 16.3% and 26.3%, respectively, while the comprehensive performance evaluation index increased by 8.3%. The results of this study offer valuable insights into the parameters' optimization of the plate-fin-and-tube air cooler in mines.

Key words: plate-fin-and-tube air cooler, heat transfer, flow, numerical simulation, Box-Behnken response surface

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。

关键词: 平直翅片管空冷器, 传热, 流动, 数值模拟, Box-Behnken响应面

CLC Number:

TK 523

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.

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.

Figures/Tables 15

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主要结构参数	数值
翅片间距F_p/mm	2.6，2.8，3.0，3.2
翅片厚度F_t/mm	0.1，0.2，0.3，0.4
换热管外径d_c/mm	10
横向管间距P_t/mm	15，20，25，30
纵向管间距P_l/mm	12，16，20，24
管排数n/排	2
入口风速u/（m/s）	4，8，12

主要结构参数	数值
翅片间距F_p/mm	2.6，2.8，3.0，3.2
翅片厚度F_t/mm	0.1，0.2，0.3，0.4
换热管外径d_c/mm	10
横向管间距P_t/mm	15，20，25，30
纵向管间距P_l/mm	12，16，20，24
管排数n/排	2
入口风速u/（m/s）	4，8，12

序号	A	B	C	D	j	f	j/f^1/3
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

序号	A	B	C	D	j	f	j/f^1/3
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/f^1/3	2.5×10^-2	2.6×10^-2	3.8%