Numerical simulation of bubble plume vortex characteristics for non-Newtonian fluids

doi:10.11949/0438-1157.20221462

Abstract

Abstract:

In order to further explore the flow characteristics of gas-liquid two-phase flow in non-Newtonian fluid, the large eddy simulation (LES) method was used to study the vortex characteristics of bubble plume in non-Newtonian fluid. Taking clean water and sodium carboxymethyl cellulose (CMC) aqueous solutions with different mass fractions as the research objects, the velocity, plume structure, vorticity and vortex evolution of gas under different apparent gas velocities and liquid rheological properties were analyzed. The results show that the evolution rate of vortices decreases with the increase of non-Newtonian fluid concentration. Combined with the Q criterion, the vortex characteristics distribution under different working conditions was analyzed. With the increase of CMC aqueous solution concentration, the Q value in the flow field decreased continuously, and the evolution rate of vortex in the flow field weakened with the increase of non-Newtonian fluid characteristics.

Key words: gas-liquid flow, non-Newtonian fluids, CFD, vorticity, Q criterion

摘要：

为进一步探究非牛顿流体中气液两相流流动特性规律，采用大涡模拟方法（LES）对非牛顿流体气泡羽流的涡特性进行研究。以清水和不同质量分数的羧甲基纤维素钠（CMC）水溶液为研究对象，分析不同表观气速和液相流变特性下气体的运动速度、羽流结构、涡量及涡的演变规律。研究结果表明，涡的演变速率随非牛顿流体浓度的增加而减小。结合Q判据分析不同工况下涡特性分布，随着CMC水溶液浓度的增加流场中的Q值不断降低，且流场内涡的演变速率随着非牛顿流体特性的增加而减弱。

关键词: 气液两相流, 非牛顿流体, 计算流体力学, 涡量, Q判据

CLC Number:

TQ 021.1

Xin DONG, Yongrui SHAN, Yinuo LIU, Ying FENG, Jianwei ZHANG. Numerical simulation of bubble plume vortex characteristics for non-Newtonian fluids[J]. CIESC Journal, 2023, 74(5): 1950-1964.

董鑫, 单永瑞, 刘易诺, 冯颖, 张建伟. 非牛顿流体气泡羽流涡特性数值模拟研究[J]. 化工学报, 2023, 74(5): 1950-1964.

Figures/Tables 30

Fig.1 Aeration tank axonometric diagram

Table 1 Liquid phase properties and rheological parameters

液相	质量分数c/%	黏稠系数K/(Pa·s ⁿ )	流动指数n	密度ρ_L/(kg/m³)	表面张力σ/(mN/m)
清水	0	0.001	1	998.21	72.75
CMC水溶液	0.3	0.043	0.8363	1002.79	52.17
	0.4	0.0745	0.8017	1004.54	53.98
	0.5	0.1685	0.7317	1005.43	66.04

Fig.2 Viscosity as function of shear rate for CMC aqueous solutions with different mass fraction

Fig.3 Gas velocity profile (X=0, Z=0, Y=0.25 m)

Fig.4 Diagram of experimental device1—air pump; 2—air flow rate meter; 3—lighting source; 4—microbubble aerator; 5—water tank; 6—high speed camera; 7—computer

Fig.5 Comparison of simulation and experiment results for different liquid-gas holdup

Fig.6 Average gas velocity in aqueous solution of CMC with different concentration at Y=0.25 m

Fig.7 Internal flow diagram of flow field with different apparent gas velocities in 0.3%CMC aqueous solution

Fig.8 Gas velocity distribution at different apparent gas velocities in 0.3%CMC aqueous solution

Fig.9 Cloud picture of vortex flow in 0.3%CMC aqueous solution with different apparent gas velocities

Fig.10 Vorticity distribution at monitoring points at different apparent gas velocities in 0.3%CMC aqueous solution

Fig.11 Cloud diagram of Q value distribution in 0.3%CMC aqueous solution at different apparent gas velocities

Fig.12 Q value distribution at monitoring points at different apparent gas velocities in 0.3%CMC aqueous solution

Fig.13 Vortex structure evolution in the flow field when the apparent gas velocity is 4.18×10-3 m/s

Fig.14 Vortex structure evolution in the flow field when the apparent gas velocity is 8.35×10-3 m/s

Fig.15 Vortex structure evolution in the flow field when the apparent gas velocity is 1.25×10-2 m/s

Fig.16 Vortex structure evolution in the flow field when the apparent gas velocity is 1.67×10-2 m/s

Fig.17 Internal flow diagram of flow field in different liquids with an apparent gas velocity of 4.18×10-3 m/s

Fig.18 Internal flow diagram of flow field in different liquids at an apparent gas velocity of 1.25×10-2 m/s

Fig.19 Gas velocity profiles in different liquids (Z=0，Y=0.25 m)

Fig.20 Vorticity cloud diagram of different liquids at an apparent gas velocity of 4.18×10-3 m/s

Fig.21 Vorticity cloud diagram of different liquids at an apparent gas velocity of 1.25×10-2 m/s

Fig.22 Vorticity distribution in different liquids (Z=0，Y=0.25 m)

Fig.23 Q criterion of different liquids at an apparent gas velocity of 4.18×10-3 m/s

Fig.24 Q criterion of different liquids at an apparent gas velocity of 1.25×10-2 m/s

Fig.25 Distribution of Q criterion in different liquids (Z=0，Y=0.25 m)

Fig.26 Vortex structure evolution in clear water at the same apparent gas velocity

Fig.27 Vortex structure evolution in 0.3%CMC aqueous solution at the same apparent gas velocity

Fig.28 Vortex structure evolution in 0.4%CMC aqueous solution at the same apparent gas velocity

Fig.29 Vortex structure evolution in 0.5%CMC aqueous solution at the same apparent gas velocity

References 32

1	Kubilius R, Pedersen G. Relative acoustic frequency response of induced methane, carbon dioxide and air gas bubble plumes, observed laterally[J]. The Journal of the Acoustical Society of America, 2016, 140(4): 2902-2912.
2	Li C P, Gou L M, You J C. Numerical simulation of bubble plumes and an analysis of their seismic attributes[J]. Journal of Ocean University of China, 2017, 16(2): 223-232.
3	段沛然, 栾锡武, 余翼, 等. 海底冷泉气泡羽流地震波数值模拟[J]. 地球物理学报, 2020, 63(2): 753-765.
	Duan P R, Luan X W, Yu Y, et al. Numerical simulation of seismic waves of bubble plumes in submarine cold seepages[J]. Chinese Journal of Geophysics, 2020, 63(2): 753-765.
4	袁雷. 气泡羽流脱除CO₂的传质建模与系统优化研究[D]. 西安: 西安建筑科技大学, 2019.
	Yuan L. Study on mass transfer modeling and system optimization of CO₂ removal by bubble plume[D]. Xi’an: Xi’an University of Architecture and Technology, 2019.
5	Huda K N U, Shimizu K, Gong X B, et al. Numerical investigation of COD reduction in compact bioreactor with bubble plumes[J]. Chemical Engineering Science, 2018, 185: 1-17.
6	Fraga B, Stoesser T. Influence of bubble size, diffuser width, and flow rate on the integral behavior of bubble plumes[J]. Journal of Geophysical Research: Oceans, 2016, 121(6): 3887-3904.
7	Liu W H, Wan T, Cheng W, et al. Research on the flow pattern of bubble plume in an aeration tank[J]. AIP Conference Proceedings, 2010, 1207(1): 646-652.
8	Neto I E L, Parente P A B. Influence of mass transfer on bubble plume hydrodynamics[J]. Anais Da Academia Brasileira De Ciencias, 2016, 88(1): 411-422.
9	Cheng W, Liu H, Wang M, et al. The effect of bubble plume on oxygen transfer for moving bed biofilm reactor[J]. Journal of Hydrodynamics, Ser. B, 2014, 26(4): 664-667.
10	Cheng Y X, Zhang Q, Jiang P, et al. Investigation of plume offset characteristics in bubble columns by Euler-Euler simulation[J]. Processes, 2020, 8(7): 795.
11	Besbes S, Hajem M H, Aissia H B, et al. PIV measurements and Eulerian-Lagrangian simulations of the unsteady gas-liquid flow in a needle sparger rectangular bubble column[J]. Chemical Engineering Science, 2015, 126: 560-572.
12	Gong X B, Takagi S, Matsumoto Y. The effect of bubble-induced liquid flow on mass transfer in bubble plumes[J]. International Journal of Multiphase Flow, 2009, 35(2): 155-162.
13	Laupsien D, Men C L, Cockx A, et al. Effects of liquid viscosity and bubble size distribution on bubble plume hydrodynamics[J]. Chemical Engineering Research and Design, 2022, 180: 451-469.
14	Dong X, Xu X F, Liu Z J. Behavior of bubble plume in shear-thinning crossflowing liquids[J]. Chemical Engineering Research and Design, 2021, 168: 288-296.
15	王蒙, 孙楠, 王颖, 等. 曝气池中气液两相流速度场分布的实验研究与数值模拟[J]. 水利学报, 2016, 47(10): 1322-1331.
	Wang M, Sun N, Wang Y, et al. Experimental research and numerical simulation on gas-liquid two-phase flow of bubble velocity distribution in aeration tank[J]. Journal of Hydraulic Engineering, 2016, 47(10): 1322-1331.
16	肖浩飞, 周美华. 曝气池内气液两相流CFD模拟[J]. 安徽农业科学, 2010, 38(4): 1955-1957, 2057.
	Xiao H F, Zhou M H. CFD simulation of gas-liquid flow in aeration tank[J]. Journal of Anhui Agricultural Sciences, 2010, 38(4): 1955-1957, 2057.
17	罗玮, 周玮, 程文, 等. 曝气池中气液两相流数值模拟[J]. 水资源与水工程学报, 2007, 18(2): 69-71.
	Luo W, Zhou W, Cheng W, et al. Numerical simulation of gas-liquid two-phase flow in aeration basin[J]. Journal of Water Resources and Water Engineering, 2007, 18(2): 69-71.
18	程文, 宋策, 周孝德. 曝气池中气液两相流的数值模拟与实验研究[J]. 水利学报, 2001, 32(12): 32-35.
	Cheng W, Song C, Zhou X D. Experimental study and numerical model of gas-liquid two-phase flow in aeration tank[J]. Journal of Hydraulic Engineering, 2001, 32(12): 32-35.
19	Karpinska A M, Bridgeman J. CFD as a tool to optimize aeration tank design and operation[J]. Journal of Environmental Engineering, 2018, 144(2): 0001307.
20	Nguyen V L, Degawa T, Uchiyama T. Numerical simulation of annular bubble plume by vortex in cell method[J]. International Journal of Numerical Methods for Heat & Fluid Flow, 2019, 29(3): 1103-1131.
21	Yamoah S, Martínez-Cuenca R, Monrós G, et al. Numerical investigation of models for drag, lift, wall lubrication and turbulent dispersion forces for the simulation of gas-liquid two-phase flow[J]. Chemical Engineering Research and Design, 2015, 98: 17-35.
22	Smith B L. On the modelling of bubble plumes in a liquid pool[J]. Applied Mathematical Modelling, 1998, 22(10): 773-797.
23	胡瑞杰, 包佳琨, 李晓芳, 等. 中心进气式鼓泡反应器内气液流动的大涡模拟[J]. 天津大学学报, 2006, 39(5): 569-574.
	Hu R J, Bao J K, Li X F, et al. Large eddy simulation of gas-liquid flow in a centrally aerated bubble column reactor[J]. Journal of Tianjin University, 2006, 39(5): 569-574.
24	肖柏青, 张法星, 戎贵文. 气泡尺寸对曝气池内气液两相流数值模拟的影响[J]. 中国环境科学, 2012, 32(11): 2006-2010.
	Xiao B Q, Zhang F X, Rong G W. Influence of the bubble size on numerical simulation of the gas-liquid flow in aeration tanks[J]. China Environmental Science, 2012, 32(11): 2006-2010.
25	Fraga B, Stoesser T, Lai C C K, et al. A LES-based Eulerian-Lagrangian approach to predict the dynamics of bubble plumes[J]. Ocean Modelling, 2016, 97: 27-36.
26	Lan C, Chen J G, Wang J F, et al. Application of circular bubble plume diffusers to restore water quality in a sub-deep reservoir[J]. International Journal of Environmental Research and Public Health, 2017, 14(11): 1298.
27	Cockx A, Do-Quang Z, Audic J M, et al. Global and local mass transfer coefficients in waste water treatment process by computational fluid dynamics[J]. Chemical Engineering and Processing: Process Intensification, 2001, 40(2): 187-194.
28	Ratkovich N, Horn W, Helmus F P, et al. Activated sludge rheology: a critical review on data collection and modelling[J]. Water Research, 2013, 47(2): 463-482.
29	董鑫, 刘易诺, 叶陈, 等. 气泡羽流气液两相流动特性的研究进展[J]. 过程工程学报, 2023, 23(1): 15-24.
	Dong X, Liu Y N, Ye C, et al. Research progress on gas-liquid two-phase flow characteristics of bubble plume[J]. The Chinese Journal of Process Engineering, 2023, 23(1): 15-24.
30	Dong X R, Hao C Y, Liu C Q. Correlation between vorticity, Liutex and shear in boundary layer transition[J]. Computers & Fluids, 2022, 238: 105371.
31	Hunt J, Wray A, Eddies Moin P., streams, and convergence zones in turbulent flows[C]//Proceedings of Summer Program in Center for Turbulence Research, 1988.
32	高助威, 王娟, 王江云, 等. 基于Q判据的不同排气管直径旋风分离器内部涡分析[J]. 石油学报(石油加工), 2018, 34(6): 1172-1180.
	Gao Z W, Wang J, Wang J Y, et al. Vortex analysis for cyclone separators with different vortex finder diameters based on Q criterion[J]. Acta Petrolei Sinica (Petroleum Processing Section), 2018, 34(6): 1172-1180.

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