Numerical simulation of power-law fluid flow characteristics in impinging stream reactor

doi:10.11949/0438-1157.20220901

Abstract

Abstract:

The flow characteristics of power-law fluid in impinging stream reactor are studied by numerical simulation method. The distribution laws of radial jet spread rate, radial velocity decay rate, shear stress and apparent viscosity of clean water and power-law fluid with different mass fraction under different nozzle spacing and inlet velocity are analyzed. The research shows that the radial velocity distribution law of radial jet in power-law fluid is similar to that of clear water radial jet. With the increase of nozzle spacing, the spread rate increases and the radial velocity decay rate decreases. The average shear stress increases first and then decreases. When L=3D, the average shear stress is the largest, which is more conducive to fluid mixing. With the increase of inlet velocity, the spread rate decreases, and the radial velocity decay rate and average shear stress increase. The average shear stress of power-law fluid is greater than that of clean water, and with the increase of the mass fraction of power-law fluid, the expansion rate of power-law fluid increases, about 1.3—3.3 times that of clean water, but the radial velocity decay rate of power-law fluid decreases from -1.268—-1.125 to -1.144—-1.082, gradually smaller than that of clean water. The shear stress in the radial jet region of power-law fluid is “M” shaped distribution, and the apparent viscosity is "W” shaped distribution. The rheological properties of the fluid have a significant impact on the flow law of the fluid in the impinging stream reactor.

Key words: impinging stream reactor, numerical simulation, power law fluid, radial jet, flow characteristics

摘要：

采用数值模拟方法对撞击流反应器内幂律流体的流动特性进行研究，分析了不同喷嘴间距和入口流速下清水和不同质量分数幂律流体的径向射流扩展率、径向速度衰减率、剪切应力、表观黏度等分布规律，研究表明：幂律流体中径向射流的径向速度分布规律与清水径向射流相似。随喷嘴间距的增大，扩展率增大，径向速度衰减率减小，平均剪切应力呈先增大后减小的变化规律，其中L=3D时平均剪切应力值最大，更利于流体混合。入口流速越大，扩展率越小，径向速度衰减率越大，平均剪切应力也随之增大。幂律流体的平均剪切应力大于清水，且随质量分数的增大，其扩展率增大，为清水扩展率的1.3~3.3倍，而幂律流体的径向速度衰减率从-1.268~-1.125降低到-1.144~-1.082，逐渐小于清水。幂律流体径向射流区域的剪切应力呈“M”形分布，表观黏度则呈“W”形分布，流体的流变性质对撞击流反应器内流体的流动规律影响显著。

关键词: 撞击流反应器, 数值模拟, 幂律流体, 径向射流, 流动特性

CLC Number:

TQ 021.1

Jianwei ZHANG, Baoshuai LI, Xin DONG, Ying FENG. Numerical simulation of power-law fluid flow characteristics in impinging stream reactor[J]. CIESC Journal, 2022, 73(11): 4917-4927.

张建伟, 李保帅, 董鑫, 冯颖. 撞击流反应器内幂律流体流动特性的数值模拟[J]. 化工学报, 2022, 73(11): 4917-4927.

Figures/Tables 17

Fig.1 Schematic diagram of impinging stream reactor

Table 1 Working conditions

流体	喷嘴直径D/mm	喷嘴间距L/D	入口流速u₀/(m/s)
清水	10	1、3、5	1.30、1.77、2.00
0.3%CMC溶液	10	1、3、5	1.77
0.4%CMC溶液	10	1、3、5	1.30、1.77、2.00
0.5%CMC溶液	10	1、3、5	1.77

Table 2 Physical properties and rheological parameters

流体	质量分数c/%	稠度系数K/(Pa·s ⁿ )	流性指数n	流体密度ρ/(kg/m³)
清水	0	0.0010	1	998.21
CMC溶液	0.3	0.0430	0.8363	1002.79
	0.4	0.0745	0.8017	1004.54
	0.5	0.1685	0.7317	1005.43

Fig.2 Velocity vector distribution of radial jet under different grid numbers

Fig.3 Experimental system of impinging stream reactor1—impinging stream reactor; 2—electromagnetic flowmeter; 3—valve; 4—centrifugal pump; 5—feed bucket; 6—discharge bucket; 7—tracer; 8—peristaltic pump; 9—CCD camera; 10—computer; 11—synchronizer; 12—laser controller; 13—laser transmitter

Fig.4 Comparison between experimental and simulated values

Fig.5 Dimensionless radial velocity distribution

Fig.6 Distribution of radial jet half-width at different nozzle spacing

Fig.7 Distribution of radial jet spread rate at different nozzle spacing

Fig.8 Distribution of radial jet half-width at different inlet velocities

Fig.9 Maximum radial velocity distribution of radial jet at different nozzle spacing

Fig.10 Radial velocity decay rate distribution at different nozzle spacing

Fig.11 Maximum radial velocity distribution of radial jet at different inlet velocities

Fig.12 Shear stress nephogram of XOZ plane

Fig.13 Average shear stress distribution at different nozzle spacing

Fig.14 Average shear stress distribution at different inlet velocities

Fig.15 Shear stress and apparent viscosity distribution

References 31

1	伍沅. 撞击流: 原理·性质·应用[M]. 北京: 化学工业出版社, 2006.
	Wu Y. Impinging Stream: Principles·Nature·Application[M]. Beijing: Chemical Industry Press, 2006.
2	Tamir A, Huang B. Impinging stream reactors: fundamentals and applications[J]. Drying Technology, 1995, 13(1/2): 503-504.
3	Brito M S C A, Fonte C P, Dias M M, et al. Flow regimes and mixing of dissimilar fluids in T-jets mixers[J]. Chemical Engineering & Technology, 2022, 45(2): 355-364.
4	Tseng Y H, Mohanty S K, McLennan J D, et al. Algal lipid extraction using confined impinging jet mixers[J]. Chemical Engineering Science: Ⅹ, 2019, 1: 100002.
5	Li C, Yue S, Li M. Numerical simulation of the drying characteristics of a high-moisture particle in a dynamic asymmetric impinging stream reactor[J]. Chemical Papers, 2022, 76(1): 41-56.
6	Sahoo K, Kumar S. Green synthesis of sub 10 nm silver nanoparticles in gram scale using free impinging jet reactor[J]. Chemical Engineering and Processing-Process Intensification, 2021, 165: 108439.
7	Zhang J, Liu Y Z, Qi G S, et al. Flow characteristics in free impinging jet reactor by particle image velocimetry (PIV) investigation[J]. Fluid Dynamics Research, 2016, 48(4): 045505.
8	Zhang J W, Yan J J, Dong X, et al. Experimental study on turbulence properties in the dual nozzle opposed impinging stream mixer[J]. The Canadian Journal of Chemical Engineering, 2017, 95(3): 550-558.
9	张建伟, 安丰元, 董鑫, 等. 基于阶跃射流的撞击流反应器流场动态特性分析[J]. 化工学报, 2022, 73(2): 622-633.
	Zhang J W, An F Y, Dong X, et al. Analysis of dynamic characteristics of flow field in impinging stream reactor based on step jet[J]. CIESC Journal, 2022, 73(2): 622-633.
10	李伟锋, 孙志刚, 刘海峰, 等. 两喷嘴对置撞击流径向射流流动特征[J]. 化工学报, 2009, 60(10): 2453-2459.
	Li W F, Sun Z G, Liu H F, et al. Flow characteristics of radial jet from two opposed jets[J]. CIESC Journal, 2009, 60(10): 2453-2459.
11	陈明, 黄海津, 王多银, 等. 半封闭圆管冲击射流流动特性PIV试验研究[J]. 振动与冲击, 2021, 40(15): 90-97, 113.
	Chen M, Huang H J, Wang D Y, et al. PIV tests for flow characteristics of impinging jet in a semi-closed circular pipe[J]. Journal of Vibration and Shock, 2021, 40(15): 90-97, 113.
12	van Hout R, Rinsky V, Grobman Y G. Experimental study of a round jet impinging on a flat surface: flow field and vortex characteristics in the wall jet[J]. International Journal of Heat and Fluid Flow, 2018, 70: 41-58.
13	Haldenwang R, Slatter P, Chhabra R. An experimental study of non-Newtonian fluid flow in rectangular flumes in laminar, transition and turbulent flow regimes[J]. Journal of the South African Institution of Civil Engineering, 2010, 52(1): 11-19.
14	Srisamran C, Devahastin S. Numerical simulation of flow and mixing behavior of impinging streams of shear-thinning fluids[J]. Chemical Engineering Science, 2006, 61(15): 4884-4892.
15	Gharraei R, Vejdani A, Baheri S, et al. Numerical investigation on the fluid flow and heat transfer of non-Newtonian multiple impinging jets[J]. International Journal of Thermal Sciences, 2016, 104: 257-265.
16	Mejia-Alvarez R, Christensen K T. Polymer-induced turbulence modifications in an impinging jet[J]. Experiments in Fluids, 2012, 52(5): 1237-1260.
17	杨树人, 崔海清. 石油工程非牛顿流体力学[M]. 北京: 石油工业出版社, 2013.
	Yang S R, Cui H Q. Petroleum Engineering Colleges Teaching Non-Newtonian Fluid Mechanics[M]. Beijing: Petroleum Industry Press, 2013.
18	Metzner A B, Reed J C. Flow of non-Newtonian fluids—correlation of the laminar, transition, and turbulent-flow regions[J]. AIChE Journal, 1955, 1(4): 434-440.
19	戴干策, 陈敏恒. 化工流体力学[M]. 2版. 北京: 化学工业出版社, 2005.
	Dai G C, Chen M H. Chemical Engineering Fluid Dynamics[M]. 2nd ed. Beijing: Chemical Industry Press, 2005.
20	刘朝霞. 湍流撞击流数值模拟与实验研究[D]. 武汉: 华中科技大学, 2007.
	Liu Z X. Numerical simulation and experimental studies of turbulent impinging streams[D]. Wuhan: Huazhong University of Science and Technology, 2007.
21	云玉新, 赵富强, 张磊, 等. 结合相关系数及改进层次分析法的油浸式变压器质量评估[J]. 重庆理工大学学报(自然科学), 2022, 36(5): 203-210.
	Yun Y X, Zhao F Q, Zhang L, et al. Quality evaluation of oil-immersed transformer based on correlation coefficient and improved analytic hierarchy process[J]. Journal of Chongqing University of Technology (Natural Science), 2022, 36(5): 203-210.
22	李志伟, 槐文信, 钱忠东. 静水环境中径向紊动射流数值模拟[J]. 水利学报, 2009, 40(11): 1320-1325.
	Li Z W, Huai W X, Qian Z D. Numerical simulation of turbulent radial jets in static ambient[J]. Journal of Hydraulic Engineering, 2009, 40(11): 1320-1325.
23	Basset T, Viggiano B, Barois T, et al. Entrainment, diffusion and effective compressibility in a self-similar turbulent jet[J/OL]. Journal of Fluid Mechanics, 2022, .
24	Morris E M, Aleyasin S S, Biswas N, et al. Turbulent properties of triple elliptic free jets with various nozzle orientation[J]. Journal of Fluids Engineering, 2020, 142(3): 031106.
25	刘成文, 李兆敏. 用LDV研究高分子添加剂射流的流场[C]// 第十三届全国水动力学研讨会文集. 北京: 海洋出版社, 1999: 129-134.
	Liu C W, Li Z M. Study on flow field of polymer additive jet by LDV[C]//Proceedings of the 13th National Symposium on Hydrodynamics. Beijing: China Ocean Press, 1999: 129-134.
26	Tang Z, Rostamy N, Bergstrom D J, et al. Incomplete similarity of a plane turbulent wall jet on smooth and transitionally rough surfaces[J]. Journal of Turbulence, 2015, 16(11): 1076-1090.
27	徐惊雷, 徐忠, 张堃元, 等. 冲击高度对半封闭紊流冲击射流流场影响的实验研究[J]. 实验力学, 2000, 15(4): 466-472.
	Xu J L, Xu Z, Zhang K Y, et al. An experimental study for the effect of nozzle-to-plate space on the semi-confined turbulent impinging jet flow[J]. Journal of Experimental Mechanics, 2000, 15(4): 466-472.
28	高伟峰. 水平对置式撞击流反应器流场涡特性的大涡模拟[D]. 沈阳: 沈阳化工大学, 2021.
	Gao W F. Large eddy simulation of vortex characteristics in horizontal opposed impinging stream reactor[D]. Shenyang: Shenyang University of Chemical Technology, 2021.
29	Chiou C S, Gordon R J. Vortex flow of dilute polymer solutions[J]. Polymer Engineering & Science, 1980, 20(7): 456-465.
30	胡建军, 朱晴, 王美达, 等. 近距离下射流冲击平板PIV实验研究[J]. 力学学报, 2020, 52(5): 1350-1361.
	Hu J J, Zhu Q, Wang M D, et al. PIV measurement of close impinging jet on flat plate[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1350-1361.
31	张建伟, 牛聚超, 董鑫, 等. 撞击流反应器流场数值模拟及其混合性能优化[J]. 过程工程学报, 2022, 22(9): 1244-1252.
	Zhang J W, Niu J C, Dong X, et al. Mixing effect in two horizontal opposed impinging stream mixer[J]. The Chinese Journal of Process Engineering, 2022, 22(9): 1244-1252.

[1]	Zhanyu YE, He SHAN, Zhenyuan XU. Performance simulation of paper folding-like evaporator for solar evaporation systems [J]. CIESC Journal, 2023, 74(S1): 132-140.
[2]	Yifei ZHANG, Fangchen LIU, Shuangxing ZHANG, Wenjing DU. Performance analysis of printed circuit heat exchanger for supercritical carbon dioxide [J]. CIESC Journal, 2023, 74(S1): 183-190.
[3]	Zhiguo WANG, Meng XUE, Yushuang DONG, Tianzhen ZHANG, Xiaokai QIN, Qiang HAN. Numerical simulation and analysis of geothermal rock mass heat flow coupling based on fracture roughness characterization method [J]. CIESC Journal, 2023, 74(S1): 223-234.
[4]	Jiahao SONG, Wen WANG. Study on coupling operation characteristics of Stirling engine and high temperature heat pipe [J]. CIESC Journal, 2023, 74(S1): 287-294.
[5]	Siyu ZHANG, Yonggao YIN, Pengqi JIA, Wei YE. Study on seasonal thermal energy storage characteristics of double U-shaped buried pipe group [J]. CIESC Journal, 2023, 74(S1): 295-301.
[6]	Song HE, Qiaomai LIU, Guangshuo XIE, Simin WANG, Juan XIAO. Two-phase flow simulation and surrogate-assisted optimization of gas film drag reduction in high-concentration coal-water slurry pipeline [J]. CIESC Journal, 2023, 74(9): 3766-3774.
[7]	Lei XING, Chunyu MIAO, Minghu JIANG, Lixin ZHAO, Xinya LI. Optimal design and performance analysis of downhole micro gas-liquid hydrocyclone [J]. CIESC Journal, 2023, 74(8): 3394-3406.
[8]	Chen HAN, Youmin SITU, Bin ZHU, Jianliang XU, Xiaolei GUO, Haifeng LIU. Study of reaction and flow characteristics in multi-nozzle pulverized coal gasifier with co-processing of wastewater [J]. CIESC Journal, 2023, 74(8): 3266-3278.
[9]	Xiaosong CHENG, Yonggao YIN, Chunwen CHE. Performance comparison of different working pairs on a liquid desiccant dehumidification system with vacuum regeneration [J]. CIESC Journal, 2023, 74(8): 3494-3501.
[10]	Wenzhu LIU, Heming YUN, Baoxue WANG, Mingzhe HU, Chonglong ZHONG. Research on topology optimization of microchannel based on field synergy and entransy dissipation [J]. CIESC Journal, 2023, 74(8): 3329-3341.
[11]	Rui HONG, Baoqiang YUAN, Wenjing DU. Analysis on mechanism of heat transfer deterioration of supercritical carbon dioxide in vertical upward tube [J]. CIESC Journal, 2023, 74(8): 3309-3319.
[12]	Kexin HUANG, Tong LI, Anqi LI, Mei LIN. Mode decomposition of flow field in T-junction with rotating impeller [J]. CIESC Journal, 2023, 74(7): 2848-2857.
[13]	Fangzhe SHI, Yunhua GAN. Numerical simulation of start-up characteristics and heat transfer performance of ultra-thin heat pipe [J]. CIESC Journal, 2023, 74(7): 2814-2823.
[14]	Jinbo JIANG, Xin PENG, Wenxuan XU, Rixiu MEN, Chang LIU, Xudong PENG. Study on leakage characteristics and parameter influence of pump-out spiral groove oil-gas seal [J]. CIESC Journal, 2023, 74(6): 2538-2554.
[15]	Xingchi ZHU, Zhiyuan GUO, Zhiyong JI, Jing WANG, Panpan ZHANG, Jie LIU, Yingying ZHAO, Junsheng YUAN. Simulation and optimization of selective electrodialysis magnesium and lithium separation process [J]. CIESC Journal, 2023, 74(6): 2477-2485.