响应面法和熵权法对离心风机的多目标性能优化

doi:10.16085/j.issn.1000-6613.2024-2121

化工进展 ›› 2025, Vol. 44 ›› Issue (6): 3271-3279.DOI: 10.16085/j.issn.1000-6613.2024-2121

• 专栏：化工过程强化 • 上一篇

响应面法和熵权法对离心风机的多目标性能优化

周鹏辉¹(), 曾琳¹, 代黎¹(), 冯小波², 倪笛³

^1.重庆理工大学化学化工学院，重庆 400054
^2.中国石油天然气股份有限公司西南油气田重庆分公司，重庆 400021
^3.重庆国研新创智能装备技术中心(普通合伙)，重庆 402760

收稿日期:2024-12-30 修回日期:2025-01-30 出版日期:2025-06-25 发布日期:2025-07-08
通讯作者: 代黎
作者简介:周鹏辉（1999—），男，硕士研究生，研究方向为化学工程。E-mail：zph2023@stu.cqut.edu.cn。
基金资助:
重庆理工大学科研基金;重庆市教委科技研究计划(KJQN202201124);重庆博士后科学基金(CSTB2023NSCQ-BHZ2146)

Numerical calculation of multi-objective performance optimization of a centrifugal fan based on response surface methodology and entropy weighting method

ZHOU Penghui¹(), ZENG Lin¹, DAI Li¹(), FENG Xiaobo², NI Di³

^1.College of Chemistry and Chemical Engineering, Chongqing University of Technology，Chongqing 400054, China
^2.PetroChina Southwest Oil & Gasfield Company Chongqing Branch, Chongqing 400021, China
^3.Chongqing Guoyanxinchuang Intelligent Equipment Technology Center (General Partnership), Chongqing 402760, China

Received:2024-12-30 Revised:2025-01-30 Online:2025-06-25 Published:2025-07-08
Contact: DAI Li

摘要/Abstract

摘要：

离心风机是一种应用广泛的流体输送机械，研究其内部流场来优化离心风机结构，有助于提高离心风机效率，降低能耗。本文采用计算流体力学（CFD）方法，结合响应面法和熵权法，对离心风机进行多目标优化。本文主要考察了叶片数量、叶片出口角度和蜗壳宽度为优化变量，以离心风机的效率和出口压力作为优化目标进行数值计算。结果表明，叶片出口角度对离心风机的影响更大，优化后的模型在叶轮处湍流动能强度降低，气流更加均匀，最大径向速度提高了56.1%，且优化后的风机在额定工况下效率提高了3.53百分点，效率最大增加7.22百分点，出口压力平均降低8.56%，能耗降低，从而验证了优化方法的可行性。本文研究结果可以对其他旋转类化工过程机械设备的多目标优化提供一些参考。

关键词: 计算流体力学, 数值模拟, 优化, 离心风机, 响应面法

Abstract:

Centrifugal fans are widely utilized in fluid transport, and optimizing their internal flow fields can significantly enhance efficiency and reduce energy consumption. This study employed Computational Fluid Dynamics (CFD) in combination with Response Surface Methodology (RSM) and the Entropy Weighting Method to conduct a multi-objective optimization of centrifugal fan performance. Key optimization variables included blade number, blade outlet angle, and volute width, while fan efficiency and outlet pressure were selected as optimization targets for numerical analysis. The results revealed that the blade outlet angle exerted the most pronounced effect on fan performance. In the optimized model, turbulent kinetic energy at the impeller was reduced, airflow uniformity improved, radial velocity increased by 23.8%, and fan efficiency at rated operating conditions improved by 2.7%, with a peak efficiency gain of 10.64%. Additionally, outlet pressure decreased by an average of 8.56%, leading to further energy savings and supporting the efficacy of the optimization approach. These findings offer valuable insights for the multi-objective optimization of other rotating mechanical equipment in chemical processes.

Key words: computational fluid dynamics, numerical simulation, optimization, centrifugal fan, response surface methodology

中图分类号:

周鹏辉, 曾琳, 代黎, 冯小波, 倪笛. 响应面法和熵权法对离心风机的多目标性能优化[J]. 化工进展, 2025, 44(6): 3271-3279.

ZHOU Penghui, ZENG Lin, DAI Li, FENG Xiaobo, NI Di. Numerical calculation of multi-objective performance optimization of a centrifugal fan based on response surface methodology and entropy weighting method[J]. Chemical Industry and Engineering Progress, 2025, 44(6): 3271-3279.

图/表 17

参考文献 17

[1]	刘强, 王发展, 孙大洪, 等. 离心风机内部流场研究的现状与展望[J]. 矿山机械, 2010, 38(13): 33-34, 122.
	LIU Qiang, WANG Fazhan, SUN Dahong, et al. Study progress and prospect of inner flow fields of centrifugal fans[J]. Mining & Processing Equipment, 2010, 38(13): 33-34, 122.
[2]	李凯, 曹淑珍, 刘正先. 离心风机叶片扩压器内部流场的试验研究[J]. 流体机械, 2005, 33(3): 1-4.
	LI Kai, CAO Shuzhen, LIU Zhengxian. Experimental investigation on the flow field in vaned diffuser of a centrifugal fan[J]. Fluid Machinery, 2005, 33(3): 1-4.
[3]	徐涵卓, 刘志浩, 孙宝昌, 等. 流体驱动旋转装备应用与数值模拟方法研究进展[J]. 化工进展, 2022, 41(6): 2806-2817.
	XU Hanzhuo, LIU Zhihao, SUN Baochang, et al. Research progress in applications and numerical simulation of fluid-driven rotating equipment[J]. Chemical Industry and Engineering Progress, 2022, 41(6): 2806-2817.
[4]	GALLONI E, PARISI P, MARIGNETTI F, et al. CFD analyses of a radial fan for electric motor cooling[J]. Thermal Science and Engineering Progress, 2018, 8: 470-476.
[5]	LEE Yutai, AHUJA Vineet, HOSANGADI Ashvin, et al. Impeller design of a centrifugal fan with blade optimization[J]. International Journal of Rotating Machinery, 2011, 2011(1): 537824.
[6]	LEE Chanyoung, JEONG Taebin, Kyoung-Ku HA, et al. Numerical investigation on the characteristics of flow-induced noise in a centrifugal blower[J]. International Journal of Fluid Machinery and Systems, 2014, 7(1): 7-15.
[7]	War War Min SWE, MORIMATSU Hiroya, HAYASHI Hidechito, et al. Study of unsteady flow simulation of backward impeller with non-uniform casing[J]. Journal of Thermal Science, 2017, 26(3): 208-213.
[8]	Santosh Varun CH, ANANTHARAMAN K, RAJASEKARAN G. Effect of blade number on the performance of centrifugal fan[J]. Materials Today: Proceedings, 2023, 72: 1143-1152.
[9]	BURGMANN Sebastian, FISCHER Tore, RUDERSDORF Manuel, et al. Development of a centrifugal fan with increased part-load efficiency for fuel cell applications[J]. Renewable Energy, 2018, 116: 815-826.
[10]	YANG Zhendong, GU Zhengqi, WANG Yiping, et al. Prediction and optimization of aerodynamic noise in an automotive air conditioning centrifugal fan[J]. Journal of Central South University, 2013, 20(5): 1245-1253.
[11]	MENG Fannian, WANG Liujie, MING Wuyi, et al. Aerodynamics optimization of multi-blade centrifugal fan based on extreme learning machine surrogate model and particle swarm optimization algorithm[J]. Metals, 2023, 13(7): 1222.
[12]	KIM Jeong Tae, YANG Jae Sung, KALLATH Hariharan, et al. Multi-stage optimization of centrifugal fan and casing with preliminary design and mesh morphing method[J]. Journal of Mechanical Science and Technology, 2023, 37(8): 4065-4080.
[13]	ZHU Meijun, LI Zhehong, LI Guohui, et al. An investigation on optimized performance of voluteless centrifugal fans by a class and shape transformation function[J]. Processes, 2023, 11(6): 1751.
[14]	王露. 离心风机流动特性研究[D]. 兰州: 兰州交通大学, 2018.
	WANG Lu. Study on the flow characteristics of centrifugal fans[D]. Lanzhou: Lanzhou Jiatong University, 2018.
[15]	DING Hongchang, CHANG Tao, LIN Fanyun. The influence of the blade outlet angle on the flow field and pressure pulsation in a centrifugal fan[J]. Processes, 2020, 8(11): 1422.
[16]	谢江维, 李春利, 黄国明. 响应面法耦合NSGA-‍Ⅱ算法的隔壁塔结构优化[J]. 化工进展, 2020, 39(8): 2962-2971.
	XIE Jiangwei, LI Chunli, HUANG Guoming. Structural optimization of dividing wall column using response surface methodology coupled with NSGA-‍Ⅱ algorithm[J]. Chemical Industry and Engineering Progress, 2020, 39(8): 2962-2971.
[17]	李俊杰, 程婉静, 梁媚, 等. 基于熵权-层次分析法的中国现代煤化工行业可持续发展综合评价[J]. 化工进展, 2020, 39(4): 1329-1338.
	LI Junjie, CHENG Wanjing, LIANG Mei, et al. Comprehensive evaluation on sustainable development of China’s advanced coal to chemicals industry based on EWM-AHP[J]. Chemical Industry and Engineering Progress, 2020, 39(4): 1329-1338.

主要参数	符号	尺寸
叶片入口角度	β	23.5°
叶片出口角度	B	35°
叶片数	S	11
叶轮入口直径	d₁	95mm
叶轮直径	d₂	200mm
叶轮出口宽度	b₂	30mm
蜗壳宽度	b₁	45mm

主要参数	符号	尺寸
叶片入口角度	β	23.5°
叶片出口角度	B	35°
叶片数	S	11
叶轮入口直径	d₁	95mm
叶轮直径	d₂	200mm
叶轮出口宽度	b₂	30mm
蜗壳宽度	b₁	45mm

序号	网格数量	出口压力/Pa	误差/%
Ⅰ	212666	41.12	0.51
Ⅱ	432011	41.33	8.18
Ⅲ	746740	45.01	0.55
Ⅳ	1359796	45.26	-0.04
Ⅴ	1794550	45.24	—

序号	网格数量	出口压力/Pa	误差/%
Ⅰ	212666	41.12	0.51
Ⅱ	432011	41.33	8.18
Ⅲ	746740	45.01	0.55
Ⅳ	1359796	45.26	-0.04
Ⅴ	1794550	45.24	—

编号	结构	网格数量
1	叶轮	569665
2	蜗壳	160564
3	进气管	5949
4	出口管	10562

响应面法和熵权法对离心风机的多目标性能优化

Numerical calculation of multi-objective performance optimization of a centrifugal fan based on response surface methodology and entropy weighting method

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图/表 17

参考文献 17

相关文章 15

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Metrics

本文评价

蜗壳宽度/mm	效率/%	蜗壳宽度/mm	效率/%
30	77.82	60	78.5
35	77.85	65	78.51
40	78.11	70	78.93
45	78.24	75	79.20
50	78.38	80	78.98
55	78.30	85	78.70

设计因子	水平编码
设计因子	-1	0	1
叶片数	10	11	12
叶片出口角度	15	20	25
蜗壳宽度	70	75	80

组别	X₁	X₂	X₃	全压效率/%	出口压力/Pa
1	0	-1	-1	79.558	48.245
2	1	0	-1	80.712	48.108
3	0	-1	1	79.464	48.204
4	0	0	0	80.485	48.126
5	-1	0	1	80.362	48.155
6	0	1	1	79.772	48.116
7	0	0	0	80.504	48.132
8	1	-1	0	79.243	48.200
9	-1	1	0	79.777	48.110
10	0	0	0	80.539	48.130
11	0	1	-1	80.082	48.098
12	-1	-1	0	79.493	48.224
13	1	0	1	80.193	48.131
14	0	0	0	80.520	48.124
15	-1	0	-1	80.464	48.139
16	1	1	0	79.801	48.106
17	0	0	0	80.536	48.124

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叶片数	效率/%	叶片数	效率/%
8	73.31	14	72.26
10	73.62	16	72.02
11	78.32	18	71.06
12	77.84

叶片数	效率/%	叶片数	效率/%
8	73.31	14	72.26
10	73.62	16	72.02
11	78.32	18	71.06
12	77.84

叶片出口角度/(°)	效率/%	叶片出口角度/(°)	效率/%
15	75.62	35	76.65
20	81.07	45	73.27
25	80.39	50	72.26
30	78.32

叶片出口角度/(°)	效率/%	叶片出口角度/(°)	效率/%
15	75.62	35	76.65
20	81.07	45	73.27
25	80.39	50	72.26
30	78.32