Analysis of deformation and internal flow patterns for rising single bubbles in different liquids

doi:10.1016/j.cjche.2018.08.023

中国化学工程学报 ›› 2019, Vol. 27 ›› Issue (4): 745-758.DOI: 10.1016/j.cjche.2018.08.023

• Fluid Dynamics and Transport Phenomena • 上一篇下一篇

Analysis of deformation and internal flow patterns for rising single bubbles in different liquids

Xin Li¹, Pan Zhang², Jianlong Li¹, Weiwen Wang¹, Guanghui Chen¹

1 College of Chemical Engineering, Qingdao University of Science and Technology, Qingdao 266042, China;
2 College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, China

收稿日期:2018-05-21 修回日期:2018-08-27 出版日期:2019-04-28 发布日期:2019-06-14
通讯作者: Guanghui Chen
基金资助:
Supported by the National Natural Science Foundation of China (21276132) and the Transformation Project of Scientific and Technological Achievements of Qingdao (16-6-2-50-nsh).

Analysis of deformation and internal flow patterns for rising single bubbles in different liquids

Xin Li¹, Pan Zhang², Jianlong Li¹, Weiwen Wang¹, Guanghui Chen¹

1 College of Chemical Engineering, Qingdao University of Science and Technology, Qingdao 266042, China;
2 College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, China

Received:2018-05-21 Revised:2018-08-27 Online:2019-04-28 Published:2019-06-14
Contact: Guanghui Chen
Supported by:
Supported by the National Natural Science Foundation of China (21276132) and the Transformation Project of Scientific and Technological Achievements of Qingdao (16-6-2-50-nsh).

摘要/Abstract

摘要： Gas-liquid multiphase flow is a significant phenomenon in chemical processes. The rising behaviors of single bubbles in the quiescent liquids have been investigated but the internal flow patterns and deformation rules of bubbles, which influence the mass transfer efficiency to a large extent, have received much less attention. In this paper, the volume of fluid method was used to calculate the bubble shapes, pressure, velocity distributions, and the flow patterns inside the bubbles. The rising behavior of the bubbles with four different initial diameters, i.e., 3 mm, 5 mm, 7 mm and 9 mm was investigated in four various liquids including water, 61.23% glycerol, 86.73% glycerol and 100% glycerol. The results show that the liquid properties and bubble initial diameters have great impacts on bubble shapes. Moreover, flow patterns inside the bubbles with different initial diameters were analyzed and classified into three types under the condition of different bubble shapes. Three correlations for predicting the maximum internal circulation inside the bubbles in 86.73% glycerol were presented and the R-square values were all bigger than 0.98. Through analyzing the pressure and velocity distributions around the bubbles, four rules of bubble deformation were also obtained to explain and predict the shapes.

关键词: Multiphase flow, Bubble, Interface, Deformation analysis, Internal flow pattern, Rising behavior

Abstract: Gas-liquid multiphase flow is a significant phenomenon in chemical processes. The rising behaviors of single bubbles in the quiescent liquids have been investigated but the internal flow patterns and deformation rules of bubbles, which influence the mass transfer efficiency to a large extent, have received much less attention. In this paper, the volume of fluid method was used to calculate the bubble shapes, pressure, velocity distributions, and the flow patterns inside the bubbles. The rising behavior of the bubbles with four different initial diameters, i.e., 3 mm, 5 mm, 7 mm and 9 mm was investigated in four various liquids including water, 61.23% glycerol, 86.73% glycerol and 100% glycerol. The results show that the liquid properties and bubble initial diameters have great impacts on bubble shapes. Moreover, flow patterns inside the bubbles with different initial diameters were analyzed and classified into three types under the condition of different bubble shapes. Three correlations for predicting the maximum internal circulation inside the bubbles in 86.73% glycerol were presented and the R-square values were all bigger than 0.98. Through analyzing the pressure and velocity distributions around the bubbles, four rules of bubble deformation were also obtained to explain and predict the shapes.

Key words: Multiphase flow, Bubble, Interface, Deformation analysis, Internal flow pattern, Rising behavior

Xin Li, Pan Zhang, Jianlong Li, Weiwen Wang, Guanghui Chen. Analysis of deformation and internal flow patterns for rising single bubbles in different liquids[J]. 中国化学工程学报, 2019, 27(4): 745-758.

Xin Li, Pan Zhang, Jianlong Li, Weiwen Wang, Guanghui Chen. Analysis of deformation and internal flow patterns for rising single bubbles in different liquids[J]. Chinese Journal of Chemical Engineering, 2019, 27(4): 745-758.

参考文献

[1] X. Wang, J. Sun, J. Zhao, W. Chen, Experimental detection of bubble-wall interactions in a vertical gas-liquid flow, Chin. J. Chem. Eng. 25(2017) 838-847.
[2] G.R. Baker, D.W. Moore, The rise and distortion of a two-dimensional gas bubble in an inviscid liquid, Phys. Fluids 1(1989) 1451-1459.
[3] J. Katz, C. Meneveau, Wake-induced relative motion of bubbles rising in line, Int. J. Multiphase Flow 22(1996) 239-258.
[4] L. Böhm, M. Brehmer, M. Kraume, Comparison of the single bubble ascent in a Newtonian and a non-Newtonian liquid:A phenomenological PIV study, Chem. Ing. Tech. 88(2016) 93-106.
[5] A.A. Kulkarni, J.B. Joshi, Bubble formation and bubble rise velocity in gas-liquid systems:A review, Ind. Eng. Chem. Res. 44(2005) 5873-5931.
[6] D. Funfschilling, H.Z. Li, Effects of the injection period on the rise velocity and shape of a bubble in a non-Newtonian fluid, Chem. Eng. Res. Des. 84(2006) 875-883.
[7] Z. Cai, Y. Bao, Z. Gao, Hydrodynamic behavior of a single bubble rising in viscous liquids, Chin. J. Chem. Eng. 18(2010) 923-930.
[8] P. Zahedi, R. Saleh, R. Moreno-Atanasio, K. Yousefi, Influence of fluid properties on bubble formation, detachment, rising and collapse; investigation using volume of fluid method, Korean J. Chem. Eng. 31(2014) 1349-1361.
[9] J. Hua, J. Lou, Numerical simulation of bubble rising in viscous liquid, J. Comput. Phys. 222(2007) 769-795.
[10] Z. Liu, Y. Zheng, L. Jia, Q. Zhang, Study of bubble induced flow structure using PIV, Chem. Eng. Sci. 60(2005) 3537-3552.
[11] F.H. Garner, D. Hammerton, Circulation inside gas bubbles, Chem. Eng. Sci. 3(1954) 1-11.
[12] Y. Li, J.P. Zhang, L.S. Fan, Discrete-phase simulation of single bubble rise behavior at elevated pressures in a bubble column, Chem. Eng. Sci. 55(2000) 4597-4609.
[13] M. Wu, M. Gharib, Experimental studies on the shape and path of small air bubbles rising in clean water, Phys. Fluids 14(2002) 49-52.
[14] W. Zhang, Y. Yong, G. Zhang, C. Yang, Z. Mao, Mixing characteristics and bubble behavior in an airlift internal loop reactor with low aspect ratio, Chin. J. Chem. Eng. 22(2014) 611-621.
[15] X. Zhang, H. Dong, D. Bao, Y. Huang, X. Zhang, S. Zhang, Effect of small amount of water on CO₂ bubble behavior in ionic liquid systems, Ind. Eng. Chem. Res. 53(2013) 428-439.
[16] S. Shu, N. Yang, Direct numerical simulation of bubble dynamics using phase-field model and lattice Boltzmann method, Ind. Eng. Chem. Res. 52(2013) 11391-11403.
[17] R. Clift, J.R. Grace, M.E. Weber, Bubbles, Drops, and Particles, Academic Press, New York, 1978.
[18] L. Zhang, C. Yang, Z.S. Mao, Numerical simulation of a bubble rising in shearthinning fluids, J. Non-Newtonian Fluid 165(2010) 555-567.
[19] W.J. Nock, S. Heaven, C.J. Banks, Mass transfer and gas-liquid interface properties of single CO₂ bubbles rising in tap water, Chem. Eng. Sci. 140(2016) 171-178.
[20] S.S. Ozturk, A. Schumpe, W.D. Deckwer, Organic liquids in a bubble column:Holdups and mass transfer coefficients, AICHE J. 33(1987) 1473-1480.
[21] Y. Kawase, B. Halard, M. Moo-Young, Theoretical prediction of volumetric mass transfer coefficients in bubble columns for Newtonian and non-Newtonian fluids, Chem. Eng. Sci. 42(1987) 1609-1617.
[22] B. Zhao, J.F. Wang, W.G. Yang, Y. Jin, Gas-liquid mass transfer in slurry bubble systems, Chem. Eng. J. 96(2003) 23-27.
[23] J. Aoki, Y. Hori, K. Hayashi, S. Hosokawa, A. Tomiyama, Mass transfer from single carbon dioxide bubbles in alcohol aqueous solutions in vertical pipes, Int. J. Heat Mass Transf. 108((2017) 1991-2001.
[24] D. Bhaga, M.E. Weber, Bubbles in viscous liquids:Shapes, wakes and velocities, J. Fluid Mech. 105(1981) 61-85.
[25] D. Funfschilling, H.Z. Li, Flow of non-Newtonian fluids around bubbles:PIV measurements and birefringence visualization, Chem. Eng. Sci. 56(2001) 1137-1141.
[26] M. Filla, J.F. Davidson, J.F. Bates, M.A. Eccles, Gas phase controlled mass transfer from a bubble, Chem. Eng. Sci. 31(1976) 359-367.
[27] M.R. Ansari, M.E. Nimvari, Bubble viscosity effect on internal circulation within the bubble rising due to buoyancy using the level set method, Ann. Nucl. Energy 38(2011) 2770-2778.
[28] A.R. Premlata, M.K. Tripathi, B. Karri, K.C. Sahu, Dynamics of an air bubble rising in a non-Newtonian liquid in the axisymmetric regime, J. Non-Newtonian Fluid 239(2017) 53-61.
[29] S.S. Rabha, V.V. Buwa, Volume-of-fluid (VOF) simulations of rise of single/multiple bubbles in sheared liquids, Chem. Eng. Sci. 65(2010) 527-537.
[30] X.F. Jiang, C. Zhu, H.Z. Li, Bubble pinch-off in Newtonian and non-Newtonian fluids, Chem. Eng. Sci. 170(2017) 98-104.
[31] F. Raymond, J.M. Rosant, A numerical and experimental study of the terminal velocity and shape of bubbles in viscous liquids, Chem. Eng. Sci. 55(2000) 943-955.
[32] M. Maldonado, J.J. Quinn, C.O. Gomez, J.A. Finch, An experimental study examining the relationship between bubble shape and rise velocity, Chem. Eng. Sci. 98(2013) 7-11.
[33] J. Klostermann, K. Schaake, R. Schwarze, Numerical simulation of a single rising bubble by VOF with surface compression, Int. J. Numer. Methods Fluids 71(2013) 960-982.
[34] S. Hysing, S. Turek, D. Kuzmin, N. Parolini, E. Burman, S. Ganesan, L. Tobiska, Quantitative benchmark computations of two-dimensional bubble dynamics, Int. J. Numer. Methods Fluids 60(2009) 1259-1288.

Analysis of deformation and internal flow patterns for rising single bubbles in different liquids

Analysis of deformation and internal flow patterns for rising single bubbles in different liquids

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