柔性Rushton搅拌桨的功耗与流场特性研究

doi:10.11949/0438-1157.20190960

化工学报 ›› 2020, Vol. 71 ›› Issue (2): 614-625.DOI: 10.11949/0438-1157.20190960

柔性Rushton搅拌桨的功耗与流场特性研究

杨锋苓^1,^2,³(),张翠勋⁴,苏腾龙¹

^1.山东大学机械工程学院，山东济南 250061
^2.高效洁净机械制造教育部重点实验室(山东大学)，山东济南 250061
^3.山东大学机械工程国家级实验教学示范中心，山东济南 250061
^4.山东天力能源股份有限公司，山东济南 250100

收稿日期:2019-08-21 修回日期:2019-09-27 出版日期:2020-02-05 发布日期:2020-02-05
通讯作者: 杨锋苓
作者简介:杨锋苓（1979—），男，博士，副教授， fly@sdu.edu.cn
基金资助:
山东省重点研发计划项目(2016GGX103035)

Power and flow characteristics of flexible-blade Rushton impeller

Fengling YANG^1,^2,³(),Cuixun ZHANG⁴,Tenglong SU¹

^1.School of Mechanical Engineering，Shandong University，Jinan 250061，Shandong, China
^2.Key Laboratory of High-Efficiency and Clean Mechanical Manufacture (Shandong University), Ministry of Education, Jinan 250061, Shandong, China
^3.National Experimental Teaching Demonstration Center of Mechanical Engineering, Shandong University, Jinan 250061, Shandong, China
^4.Shandong Tianli Energy Co. , Ltd. , Jinan 250100, Shandong, China

Received:2019-08-21 Revised:2019-09-27 Online:2020-02-05 Published:2020-02-05
Contact: Fengling YANG

摘要/Abstract

摘要：

基于传统的Rushton桨，开发了一种柔性叶片Rushton搅拌桨。采用数值模拟方法研究了柔性桨的功耗及层流和湍流流场特性，并分别采用扭矩测量法和粒子图像测速法进行了实验验证。结果表明，对于实验规模的搅拌容器，当介质黏度与甘油接近时，可用橡胶作为柔性桨叶制作材料。Reynolds数≤100时，柔性桨的功耗大于刚性桨；Reynolds数大于该值后，柔性桨的功耗小于刚性桨。柔性桨叶对被搅拌流体具有自适应特性，流固耦合作用下产生的变形增加了流体的径向流动能力。搅拌低黏度流体时，柔性桨能提升近桨区流体的速度，增加桨叶远端流体的循环流动能力；搅拌高黏度流体时，近桨区和桨叶远端流体的速度均大于刚性桨。就尾涡而言，柔性桨产生的涡量较小，耗能少。

关键词: 搅拌容器, 柔性Rushton搅拌桨, 功耗, 流场, 实验验证, 计算流体力学

Abstract:

Based on the traditional Rushton impeller, a flexible-blade Rushton impeller was developed. The emphasis was layed on characterization of the power and flow characteristics of this flexible-blade Rushton impeller. The power consumption as well as laminar and turbulent flow fields was numerically investigated by using the computational fluid dynamics (CFD) technique. Besides, they were experimentally validated by employing the dynamic torque sensor and particle image velocimetry (PIV), respectively. The results show that, when the viscosity of the fluid medium is close to that of glycerin, rubber can be used as the material for making flexible blade for the experimental scale stirred vessel. Power consumption of flexible-blade impeller is greater than the rigid impeller when Reynolds number is no more than 100. However, after that value, with the increase of Reynolds number, flexible-blade impeller consumes less power. The fluid-structure interaction (FSI) makes the flexible blades adaptable to the agitated fluid by deformation and accordingly, increases the radial flow capacity of the fluid. Specifically, when the viscosity fluid is low, flexible blade impeller can improve velocity of fluid near the blade and improve circulation capacity of fluid away from the impeller. When the agitated fluid has high viscosity, flexible-blade impeller can increase fluid velocity both near and far from the blade. As far as tailing vortex is concerned, flexible-blade impeller produces small magnitude vortex and is less energy consuming.

Key words: stirred vessel, flexible-blade Rushton impeller, power consumption, flow field, experimental validation, computational fluid dynamics

中图分类号:

TQ 027

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.

Fengling YANG, Cuixun ZHANG, Tenglong SU. Power and flow characteristics of flexible-blade Rushton impeller[J]. CIESC Journal, 2020, 71(2): 614-625.

图/表 17

图1 搅拌容器及柔性叶片Rushton桨

Fig.1 Stirred vessel and flexible-blade Rushton impeller

表1 柔性桨叶材料物性参数

Table 1 Parameters of flexible blade materials

柔性桨叶材料	物性参数
柔性桨叶材料	弹性模量 E/MPa	泊松比	密度 ρ/(kg·m ^-3)
超高分子量聚乙烯	1~1.25×10 ⁵	0.3	935~945
硬聚氯乙烯	3.14~3.92×10 ³	0.319	1350~1400
橡胶	7.8	0.47	900~1000
硅橡胶	2.1	0.48	1200

图2 网格划分

Fig.2 Mesh model

图3 双向流固耦合分析设置

Fig.3 Settings of two-way fluid-structure coupling analysis

图4 网格划分

Fig.4 Mesh model

表2 转矩测量工况

Table 2 Measurement conditions of torque

Reynolds数	转速 N/ (r·s ^-1)	密度 ρ/ (kg·m ^-3)	动力黏度 μ/(Pa·s)	搅拌介质
10	0.5	1263.3	1.412	甘油
40	2	1263.3	1.412	甘油
100	5	1263.3	1.412	甘油
254	2	1236.79	0.219	90%甘油水溶液
906	2	1210.28	0.060	80%甘油水溶液
2367	2	1183.77	0.023	70%甘油水溶液
4735	4	1183.77	0.023	70%甘油水溶液
11196	0.5	998.2	0.001	水
44784	2	998.2	0.001	水
111961	5	998.2	0.001	水

表3 功率准数的数值模拟及实验测量值

Table 3 Power number obtained by numerical simulations and experimental measurements

Reynolds数	功率准数 N _P
Reynolds数	刚性桨（模拟）	刚性桨（实验）	柔性桨（模拟）	柔性桨（实验）
10	5.779	6.241	6.198	6.570
40	2.921	3.184	3.350	3.618
100	2.545	2.723	2.569	2.749
254	2.339	2.573	2.213	2.412
906	2.035	2.198	1.794	1.973
2367	1.755	1.913	1.452	1.597
4735	1.500	1.604	1.253	1.353
11196	1.445	1.560	1.237	1.324
44784	1.291	1.408	1.170	1.240
111961	1.204	1.325	1.190	1.297

图5 功率准数随Reynolds数变化曲线

Fig.5 Variations of power number with Reynolds number

图6 介质为水时的速度矢量图/(m·s -1)

Fig.6 Velocity vectors for water

图7 介质为甘油时的速度矢量图/(m·s -1)

Fig.7 Velocity vectors for glycerin

图8 径向位置 r=90 mm处介质为水时的速度分布

Fig.8 Velocity distributions for water at r=90 mm

图9 轴向高度 z=150 mm处介质为水时的速度分布

Fig.9 Velocity distributions for water at z=150 mm

图10 径向位置 r=90 mm处介质为甘油时的速度分布

Fig.10 Velocity distributions for glycerin at r=90 mm

图11 轴向高度 z=150 mm处介质为甘油时的速度分布

Fig.11 Velocity distributions for glycerin at z=150 mm

图12 轴向高度 z=150 mm处介质分别为水(a)和甘油(b)时径向速度分布的PIV实验结果

Fig.12 PIV experimentally measured radial velocity distributions for water(a) and glycerin(b) at z=150 mm

图13 搅拌介质为水时不同相位角处的涡量云图/s -1

Fig.13 Vortex contours for water at different phase angles

图14 搅拌介质为甘油时不同相位角处的涡量云图/s -1

Fig.14 Vortex contours for glycerin at different phase angles

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柔性Rushton搅拌桨的功耗与流场特性研究

Power and flow characteristics of flexible-blade Rushton impeller

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