自吸射流柔性搅拌桨振动特性

doi:10.16085/j.issn.1000-6613.2022-1176

摘要/Abstract

摘要：

为了研究工况对新型自吸射流柔性搅拌桨的影响，运用实验和单向流固耦合数值模拟分析了装置的搅拌功耗、搅拌桨应力分布和振动特性。结果表明，相同工况下柔性Rushton搅拌桨的功率准数比自吸射流柔性搅拌桨高121.93%，并随Reynolds数的提高而减小。自吸射流柔性搅拌桨在支架与桨叶连接处应力最高，在本文研究范围内最大应力低于材料的许用应力。对自吸射流柔性搅拌桨在静模态和预应力模态下的固有频率和振型进行对比分析，两种模态前8阶为弯曲型，后4阶为扭变型；与静模态相比，预应力模态下固有频率和振型最大值的最大偏差分别为0.25%和27.56%。随着搅拌桨的转速和介质运动黏度提高，搅拌桨预应力模态固有频率增大，但同阶固有频率增长比变化较小。自吸射流柔性搅拌桨搅拌效率优势明显，本研究为多种工况下搅拌桨的强度和稳定性提供基础数据。

关键词: 自吸射流, 搅拌容器, 振动特性, 数值模拟, 模态分析, 流体动力学

Abstract:

In order to study the effect of working conditions on the new self-priming jet flexible impeller, the mixing power consumption of agitator, stress distribution and vibration characteristics of impeller were analyzed by experiment and one-way fluid structure coupling numerical simulation. The results showed that the power criterion of the flexible Rushton impeller was 121.93% higher than that of the self-priming jet flexible impeller under the same operating conditions, and decreased with the increase of Reynolds number. The maximum stress of self-priming jet flexible impeller was lower than the allowable stress of the material within the scope of this study, located at the connection between the support and the blade. The natural frequency and vibration mode of self-priming jet flexible impeller were compared and analyzed under static modal and prestressed modal. The vibration modes with 1st to 8th order were the bending type and that with 9th to 12th order are the torsional type. Compared with static modal, the maximum deviation of natural frequency and vibration maximum value under the prestressed modal were 0.25% and 27.56%, respectively. The prestressed modal natural frequency increased with the increase of impeller rotational speed and the medium kinematic viscosity, but the increase ratio of same order natural frequency was little. The strength and stability of the self-priming jet flexible impeller under various working conditions can be guaranteed, and the mixing efficiency can be effectively improved. The advantage of self-priming jet flexible impeller was obviously in mixing efficiency. This study provided the basic data for the strength and stability of the impeller under various working conditions.

Key words: self-priming jet, stirred vessel, vibration characteristics, numerical simulation, modal analysis, hydrodynamics

中图分类号:

TQ027

张成松, 张静, 龚斌, 李明洋, 袁佳新, 李宏业. 自吸射流柔性搅拌桨振动特性[J]. 化工进展, 2023, 42(4): 1728-1738.

ZHANG Chengsong, ZHANG Jing, GONG Bin, LI Mingyang, YUAN Jiaxin, LI Hongye. Vibration characteristics of self-priming jet flexible impeller[J]. Chemical Industry and Engineering Progress, 2023, 42(4): 1728-1738.

图/表 18

参考文献 36

1	刘作华, 陶长元, 陈维, 等. Research progress of chaotic mixing in stirred tank[J]. 化工进展, 2010, 29(S1): 557-565.
	LIU Zuohua, TAO Changyuan, CHEN Wei, et al. Research progress of chaotic mixing in stirred tank[J]. Chemical Industry and Engineering Progress, 2010, 29(S1): 557-565.
2	刘宝庆, 张义堃, 刘景亮, 等. 新型同心双轴搅拌器功率与混合特性的数值模拟[J]. 化工学报, 2013, 64(4): 1135-1144.
	LIU Baoqing, ZHANG Yikun, LIU Jingliang, et al. Numerical simulation of power consumption and mixing characteristic in stirred vessel with novel coaxial mixer[J]. CIESC Journal, 2013, 64(4): 1135-1144.
3	ZHENG Zhiyong, SUN Dongdong, LI Jing, et al. Improving oxygen transfer efficiency by developing a novel energy-saving impeller[J]. Chemical Engineering Research and Design, 2018, 130: 199-207.
4	许言, 王健, 武永军, 等. 多叶片组合式搅拌桨釜内流动特性和混合性能研究[J]. 化工学报, 2020, 71(11): 4964-4970.
	XU Yan, WANG Jian, WU Yongjun, et al. Study on the flow characteristics and mixing performance of multi-blade combined agitator[J]. CIESC Journal, 2020, 71(11): 4964-4970.
5	邱发成, 刘作华, 刘仁龙, 等. 偏心射流-刚柔组合桨搅拌器内混沌混合行为研究[J]. 化工学报, 2018, 69(2): 618-624.
	QIU Facheng, LIU Zuohua, LIU Renlong, et al. Chaotic mixing performance in rigid-flexible impeller stirred tank with eccentric air jet[J]. CIESC Journal, 2018, 69(2): 618-624.
6	DEGAWA T, UNO K, UCHIYAMA T. Mixing of density-stratified fluid in a cylindrical tank by a diagonal jet[J]. Journal of Energy and Power Engineering, 2018, 12(9): 436-443.
7	MANJULA P, KALAICHELVI P, SHANAWASKHAN C, et al. Effect of radial angle on mixing time for a double jet mixer[J]. Asia‐Pacific Journal of Chemical Engineering, 2010, 5(3): 544-551.
8	刘作华, 宁伟征, 孙瑞祥, 等. 偏心空气射流双层桨搅拌反应器流场结构的分形特征[J]. 化工学报, 2011, 62(3): 628-635.
	LIU Zuohua, NING Weizheng, SUN Ruixiang, et al. Fractal flow structure in eccentric air jet-stirred reactor with double impeller[J]. CIESC Journal, 2011, 62(3): 628-635.
9	ESMAEELZADE G, MOSHAMMER K, FERNANDES R, et al. Numerical study of the mixing inside a jet stirred reactor using large eddy simulations[J]. Flow, Turbulence and Combustion, 2019, 102(2): 331-343.
10	STEFANIE B, W-B DIRK. CFD analysis of interphase mass transfer and energy dissipation in a milliliter-scale stirred-tank reactor for filamentous microorganisms[J]. Chemical Engineering Research and Design, 2014, 92(2): 240-248.
11	杨锋苓, 张翠勋, 苏腾龙. 柔性Rushton搅拌桨的功耗与流场特性研究[J]. 化工学报, 2020, 71(2): 614-625.
	YANG Fengling, ZHANG Cuixun, SU Tenglong. Power and flow characteristics of flexible-blade Rushton impeller[J]. CIESC Journal, 2020, 71(2): 614-625.
12	LIANG Yangyang, SHI Daien, XU Bohang, et al. Turbulent flow field in a stirred vessel agitated by an impeller with flexible blades[J]. AIChE Journal, 2018, 64(11): 4148-4161.
13	KUMAR R, GOEL N, HOJAMBERDIEV M, et al. Transition metal dichalcogenides-based flexible gas sensors[J]. Sensors and Actuators A: Physical, 2020, 303: 111875.
14	刘作华, 曾启琴, 王运东, 等. 柔性桨强化搅拌槽中高黏度流体层流混合的研究[J]. 中国科技论文, 2012, 7(3): 185-189.
	LIU Zuohua, ZENG Qiqin, WANG Yundong, et al. Laminar mixing enhanced by flexible impeller in high-viscosity fluid stirred tank[J]. China Sciencepaper, 2012, 7(3): 185-189.
15	KIM Jaewon, Woojeong SIM, CHUNG Jintai. Modal characteristics and dynamic stability of a whirling rotor with flexible blades[J]. Applied Mathematical Modelling, 2021, 89: 1-18.
16	HOERNER S, KÖSTERS I, VIGNAL L, et al. Cross-flow tidal turbines with highly flexible blades—Experimental flow field investigations at strong fluid-structure interactions[J]. Energies, 2021, 14(4): 797.
17	赵梦雪, 王豪, 邢安安, 等. 一种浮动式自吸射流搅拌装置: CN111298706A[P]. 2020-06-19.
	ZHAO Mengxue, WANG Hao, XING Anan, et al. A floating self-priming jet stirring device: CN111298706A[P]. 2020-06-19.
18	龚斌, 张成松, 袁佳新, 等. 一种自吸射流柔性组合搅拌装置: CN113083081A[P]. 2021-07-09.
	GONG Bin, ZHANG Chengsong, YUAN Jiaxin, et al. A self-priming jet flexible combined stirring device: CN113083081A[P]. 2021-07-09.
19	YONG T H, CHAN H B, DOL S S, et al. The flow dynamics behind a flexible finite cylinder as a flexible agitator[J]. IOP Conference Series: Materials Science and Engineering, 2017, 206: 012033.
20	范永将, 李冬红, 李彤霞, 等. 复合乳化体系合成丁腈橡胶3604性能的主要影响因素[J]. 合成橡胶工业, 2012, 35(1): 75-77.
	FAN Yongjiang, LI Donghong, LI Tongxia, et al. Main influencing factors of properties of nitrile rubber 3604 synthesized by complex emulsion system[J]. China Synthetic Rubber Industry, 2012, 35(1): 75-77.
21	苏腾龙. 柔性桨流场特性的流固耦合数值模拟和实验研究[D]. 济南: 山东大学, 2018.
	SU Tenglong. Fluid-solid interaction simulation and experimental study on the flow field characteristics of flexible-blade impeller[D]. Jinan: Shandong University, 2018.
22	朱俊, 周政霖, 刘作华, 等. 刚柔组合搅拌桨强化流体混合的流固耦合行为[J]. 化工学报, 2015, 66(10): 3849-3856.
	ZHU Jun, ZHOU Zhenglin, LIU Zuohua, et al. Fluid-structure interaction in liquid mixing intensified by flexible-rigid impeller[J]. CIESC Journal, 2015, 66(10): 3849-3856.
23	黎义斌, 梁开一, 李正贵. 基于流固耦合的斜轴式搅拌器水力性能数值分析[J]. 过程工程学报, 2020, 20(12): 1424-1431.
	LI Yibin, LIANG Kaiyi, LI Zhenggui. Numerical analysis of hydraulic performance of tilted shaft agitator based on fluid-structure interaction[J]. The Chinese Journal of Process Engineering, 2020, 20(12): 1424-1431.
24	张守汉, 应婵娟, 马莉莉. 门尼黏度对丁腈橡胶拉伸性能的影响[J]. 弹性体, 2019, 29(5): 26-28.
	ZHANG Shouhan, YING Chanjuan, MA Lili. Effect of Mooney viscosity on tensile property of nitrile rubber[J]. China Elastomerics, 2019, 29(5): 26-28.
25	王玥, 盛德仁, 陈坚红, 等. 国产300MW汽轮机叶片模态分析与故障识别[J]. 汽轮机技术, 2003, 45(3): 168-169.
	WANG Yue, SHENG Deren, CHEN Jianhong, et al. Modal analysis and failure identity of blade experiment of home-made 300MW turbine[J]. Turbine Technology, 2003, 45(3): 168-169.
26	ELHAMI M R, NAJAFI M R, TASHAKORI BAFGHI M. Vibration analysis and numerical simulation of fluid-structure interaction phenomenon on a turbine blade[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2021, 43(5): 1-24.
27	刘欣. 柔性Rushton搅拌桨的振动特性研究[D]. 济南: 山东大学, 2020.
	LIU Xin. Study on vibration characteristics of flexible-blade Rushton impeller[D]. Jinan: Shandong University, 2020.
28	GAGNON M, DOLLON Q, NICOLLE J, et al. Operational modal analysis of francis turbine runner blades using transient measurements[J]. IOP Conference Series: Earth and Environmental Science, 2021, 774(1): 012082.
29	栾德玉, 张盛峰, 郑深晓, 等. 基于流固耦合的错位桨搅拌假塑性流体动力学特性[J]. 化工学报, 2017, 68(6): 2328-2335.
	LUAN Deyu, ZHANG Shengfeng, ZHENG Shenxiao, et al. Dynamic characteristics of impeller of perturbed six-bent-bladed turbine in pseudoplastic fluid based on fluid-structure interaction[J]. CIESC Journal, 2017, 68(6): 2328-2335.
30	顾乡, 马鑫, 刘新卫, 等. 四斜叶搅拌桨的固有频率测试与分析[J]. 北京化工大学学报(自然科学版), 2006, 33(5): 103-105.
	GU Xiang, MA Xin, LIU Xinwei, et al. Natural frequency measurement and analysis of a pitched-blade turbine[J]. Journal of Beijing University of Chemical Technology (Natural Science Edition), 2006, 33(5): 103-105.
31	赵宏飞, 马宏忠, 李凯, 等. 电力变压器油箱固有频率测试及其影响分析[J]. 电力自动化设备, 2013, 33(11): 165-169.
	ZHAO Hongfei, MA Hongzhong, LI Kai, et al. Test and analysis of inherent frequency of power transformer tank[J]. Electric Power Automation Equipment, 2013, 33(11): 165-169.
32	张福荣. 基于CAD和有限元方法的齿轮模态分析[J]. 科技通报, 2013, 29(9): 93-97.
	ZHANG Furong. The modal analysis of gear based on CAD & finite element[J]. Bulletin of Science and Technology, 2013, 29(9): 93-97.
33	杨锋苓, 曹明见, 张翠勋, 等. 柔性Rushton搅拌桨的振动特性[J]. 化工学报, 2021, 72(4): 1975-1986.
	YANG Fengling, CAO Mingjian, ZHANG Cuixun, et al. Vibration characteristics of the flexible-blade Rushton impeller[J]. CIESC Journal, 2021, 72(4): 1975-1986.
34	戚振. 基于流固耦合的搅拌反应器机械特性研究[D]. 青岛: 山东科技大学, 2014.
	QI Zhen. Research on the mechanical properties of the stirred reactor based on fluid-structure interaction[D]. Qingdao: Shandong University of Science and Technology, 2014.
35	徐自力, 艾松. 叶片结构强度与振动[M]. 西安: 西安交通大学出版社, 2018.
	XU Zili, AI Song. Blade structure strength and vibration[M]. Xi’an: Xi’an Jiaotong University Press, 2018.
36	骆天舒, 戴韧. 整体式向心叶轮模态的有限元分析[J]. 内燃机工程, 2005, 26(1): 77-80.
	LUO Tianshu, DAI Ren. Modal analysis of integrated radial inflow impeller with finite element method[J]. Chinese Internal Combustion Engine Engneering, 2005, 26(1): 77-80.

流体介质	介质运动黏度ν/m²·s^-1	搅拌转速N/r·min^-1	雷诺数Re
水	1.005×10^-6	60~300	22392~111962
甘油质量分数70%	1.943×10^-5	120，240	2316.1，4632.1
甘油质量分数80%	4.958×10^-5	120	907.71
甘油质量分数90%	1.771×10^-4	120	254.13
甘油质量分数100%	1.118×10^-3	120	40.261

流体介质	介质运动黏度ν/m²·s^-1	搅拌转速N/r·min^-1	雷诺数Re
水	1.005×10^-6	60~300	22392~111962
甘油质量分数70%	1.943×10^-5	120，240	2316.1，4632.1
甘油质量分数80%	4.958×10^-5	120	907.71
甘油质量分数90%	1.771×10^-4	120	254.13
甘油质量分数100%	1.118×10^-3	120	40.261

阶数	f_d/Hz	f_w/Hz	[(f_w-f_d)/f_d]/%
第1阶	81.086	81.125	0.05
第2阶	81.094	81.192	0.12
第3阶	81.106	81.218	0.14
第4阶	81.129	81.283	0.19
第5阶	88.855	88.975	0.14
第6阶	88.889	89.098	0.24
第7阶	88.894	89.100	0.23
第8阶	88.912	89.131	0.25
第9阶	217.980	217.970	-0.01
第10阶	218.200	218.250	0.02
第11阶	220.100	220.080	-0.01
第12阶	220.350	220.430	0.04

阶数	f_d/Hz	f_w/Hz	[(f_w-f_d)/f_d]/%
第1阶	81.086	81.125	0.05
第2阶	81.094	81.192	0.12
第3阶	81.106	81.218	0.14
第4阶	81.129	81.283	0.19
第5阶	88.855	88.975	0.14
第6阶	88.889	89.098	0.24
第7阶	88.894	89.100	0.23
第8阶	88.912	89.131	0.25
第9阶	217.980	217.970	-0.01
第10阶	218.200	218.250	0.02
第11阶	220.100	220.080	-0.01
第12阶	220.350	220.430	0.04

阶数	A_d/mm	A_w/mm	[(A_w-A_d)/A_d]/%
第1阶	1488.40	1689.30	13.50
第2阶	1334.20	1634.20	22.49
第3阶	1274.80	1626.10	27.56
第4阶	1380.00	1680.80	21.80
第5阶	1714.40	1714.40	0.00
第6阶	1554.70	1712.30	10.14
第7阶	1554.70	1714.90	10.30
第8阶	1714.60	1712.60	-0.12
第9阶	923.00	885.68	-4.04
第10阶	837.02	870.17	3.96
第11阶	878.82	882.53	0.42
第12阶	801.12	866.16	8.12