多层刚柔组合桨诱发流场界面失稳强化非牛顿流体混沌混合行为

doi:10.11949/0438-1157.20200315

化工学报 ›› 2020, Vol. 71 ›› Issue (12): 5470-5478.DOI: 10.11949/0438-1157.20200315

多层刚柔组合桨诱发流场界面失稳强化非牛顿流体混沌混合行为

刘作华^1,³(),杨林荣^1,³,熊黠^1,³,陶长元^1,³,王运东²,程芳琴⁴

^1.重庆大学化学化工学院，重庆 400044
^2.清华大学化学工程系，北京 100084
^3.煤矿灾害动力学与控制国家重点实验室，重庆大学，重庆 400044
^4.山西大学资源与环境工程研究所，山西太原 030006

收稿日期:2020-03-25 修回日期:2020-05-18 出版日期:2020-12-05 发布日期:2020-12-05
通讯作者: 刘作华
作者简介:刘作华（1973—），男，博士，教授，liuzuohua@cqu.edu.cn
基金资助:
国家重点研发计划项目(2017YFB0603105);国家自然科学基金项目(21636004);重庆市教委科学技术研究计划项目(KJZD-M201900101);重庆市技术创新与应用示范专项产业类重点研发项目(cstc2018jszx-cyzdX0085)

Chaotic mixing behavior of non-Newtonian fluid intensified by multilayer rigid-flexible impeller induced flow field interface instability

LIU Zuohua^1,³(),YANG Linrong^1,³,XIONG Xia^1,³,TAO Changyuan^1,³,WANG Yundong²,CHENG Fangqin⁴

^1.School of Chemistry and Chemical Engineering, Chongqing University, Chongqing 400044, China
^2.Department of Chemical Engineering, Tsinghua University, Beijing 100084, China
^3.State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, China
^4.Institute of Resources and Environment Engineering, Shanxi University, Taiyuan 030006, Shanxi, China

Received:2020-03-25 Revised:2020-05-18 Online:2020-12-05 Published:2020-12-05
Contact: LIU Zuohua

摘要/Abstract

摘要：

传统多层刚性桨用于假塑性非牛顿流体混合搅拌死区较大，流场界面稳定，混合效率低。提出多层刚柔组合桨诱发流场界面失稳强化非牛顿流体混沌混合的方法。实验以羧甲基纤维素钠为非牛顿流体体系，通过扭矩传感器测量功率特性，酸碱中和脱色法测定混合时间，并利用Matlab 软件编程计算最大Lyapunov 指数，分析了非牛顿流体混合过程中的混沌特性及其混合性能。结果表明，组合方式为RF-（PBTD+PBTD+DT）、桨叶排列方式θ=60°、柔性片长度安装比例r=0.8、1.2时，混沌程度较高，混合性能较好。多层刚柔组合桨可以产生多股螺旋流，并在层间柔性片扰动频率差下实现流场界面失稳，搅拌死区减小，在较低转速下使体系进入混沌状态（多层刚柔组合桨体系N>88 r/min时LLE>0，多层刚性桨体系N>125 r/min时LLE>0）；在相同转速下，多层刚柔组合桨混合速率、单位体积功率高于多层刚性桨，而单位体积混合能大致相同。

关键词: 混沌, 多层刚柔组合桨, 非牛顿流体, 混合, 混合速率, 最大Lyapunov 指数

Abstract:

The traditional multilayer rigid impeller has large dead zone for the mixing of pseudoplastic non-Newtonian fluid, stable flow field interface and low mixing efficiency. A method for enhancing the chaotic mixing of non-Newtonian fluid by multilayer rigid-flexible impeller induced flow field interface instability was proposed. In the experiment, sodium carboxymethylcellulose was used as the non-Newtonian fluid system. The power characteristics were measured by the torque sensor. The mixing time was determined by the acid-base neutralization and decolorization method. The largest Lyapunov exponents were calculated by using Matlab software programming. The chaotic characteristics and mixing performance in the mixing process are analyzed. The results show that when the combination mode was RF-(PBTD+PBTD+DT), the impeller arrangement mode θ=60°, and the flexible sheet length installation ratio r=0.8, 1.2, the degree of chaos was higher and the mixing performance was better. Multilayer rigid-flexible impeller can generate multiple spiral flows, and realize the flow field interface instability under the disturbance frequency difference of the flexible sheet between the layers, the stirring dead zone was reduced, and the system enters a chaotic state at a lower speed (when the multilayer rigid-flexible impeller system N>88 r/min, LLE>0; when the multilayer rigid impeller system N>125 r/min, LLE>0). At the same speed, the mixing rate and power per unit volume of the multilayer rigid-flexible combined impeller are higher than that of the multilayer rigid impeller, but the mixing energy per unit volume is approximately the same.

Key words: chaos, multilayer rigid-flexible impeller, non-Newtonian fluid, mixing, mixing rate, largest Lyapunov exponents

中图分类号:

TQ 027.2

刘作华,杨林荣,熊黠,陶长元,王运东,程芳琴. 多层刚柔组合桨诱发流场界面失稳强化非牛顿流体混沌混合行为[J]. 化工学报, 2020, 71(12): 5470-5478.

LIU Zuohua,YANG Linrong,XIONG Xia,TAO Changyuan,WANG Yundong,CHENG Fangqin. Chaotic mixing behavior of non-Newtonian fluid intensified by multilayer rigid-flexible impeller induced flow field interface instability[J]. CIESC Journal, 2020, 71(12): 5470-5478.

图/表 13

图1 实验装置1—mixing tank base；2—mixing tank；3—motor bracket；4—motor； 5—torque sensor；6—rigid impeller；7—frequency modulator；8—signal converter；9—computer

Fig.1 Experimental device

图2 桨叶示意图

Fig.2 Schematic diagram of impellers

图3 搅拌桨类型对LLE的影响

Fig.3 Impact of mixing impeller type on LLE

图4 搅拌桨叶组合方式对LLE的影响

Fig.4 Effect of the mixing impeller combination method on LLE

图5 搅拌桨叶排列方式对LLE的影响

Fig.5 Effect of arrangement of stirring impeller on LLE

图6 柔性片长度安装比例对LLE的影响

Fig.6 Effect of flexible sheet length installation proportion on LLE

图7 搅拌桨类型对π1的影响

Fig.7 Effect of stirring impeller type on π1

图8 搅拌桨叶组合方式对π1的影响

Fig.8 Effect of the mixing impeller combination mode on π1

图9 搅拌桨叶排列方式对π1的影响

Fig.9 Effect of the arrangement of stirring impeller on π1

图10 柔性片长度安装比例对π1的影响

Fig.10 Effect of the length of the flexible sheet installation ratio on π1

图11 不同类型桨叶体系中Wv、Pv对比

Fig.11 Comparison of Wvand Pv in different types of impeller systems

图12 单位体积混合能与混合时间的关系

Fig.12 Relationship between mixing energy per unit volume and mixing time

图13 多层刚柔组合桨诱发流场界面失稳机理

Fig.13 Mechanism of flow field interface instability induced by multilayer rigid-flexible impeller

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多层刚柔组合桨诱发流场界面失稳强化非牛顿流体混沌混合行为

Chaotic mixing behavior of non-Newtonian fluid intensified by multilayer rigid-flexible impeller induced flow field interface instability

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