A Theoretical Model for the Size Prediction of Single Bubbles Formed under Liquid Cross-flow

›› 2010, Vol. 18 ›› Issue (5): 770-776.

• FLUID FLOW AND TRANSPORT PHENOMENA • Previous Articles Next Articles

A Theoretical Model for the Size Prediction of Single Bubbles Formed under Liquid Cross-flow

LIU Changjun¹, LIANG Bin¹, TANG Shengwei¹, ZHANG Haiguang¹, MIN Enze²

1. Multi-phases Mass Transfer and Reaction Engineering Laboratory, College of Chemical Engineering, Sichuan University, Chengdu 610065, China;
2. SINOPEC CORP. Research Institute of Petroleum Processing, Beijing 100083, China

Received:2009-06-21 Revised:2010-05-21 Online:2010-10-28 Published:2010-10-28
Supported by:
Supported by the National Natural Science Foundation of China (20736009)

A Theoretical Model for the Size Prediction of Single Bubbles Formed under Liquid Cross-flow

刘长军¹, 梁斌¹, 唐盛伟¹, 张海广¹, 闵恩泽²

1. Multi-phases Mass Transfer and Reaction Engineering Laboratory, College of Chemical Engineering, Sichuan University, Chengdu 610065, China;
2. SINOPEC CORP. Research Institute of Petroleum Processing, Beijing 100083, China

通讯作者: LIANG Bin,E-mail:liangbin@scu.edu.cn
基金资助:
Supported by the National Natural Science Foundation of China (20736009)

Abstract

Abstract: The size of initial bubbles is an important factor to the developed bubble size distribution in a gas-liquid contactor. A liquid cross-flow over a sparger can produce smaller bubbles, and hereby enhance the performance of contactor. A one stage model by balancing the forces acting on a growing bubble was developed to describe the formation of the bubble from an orifice exposed to liquid cross-flow. The prediction with this model agrees with the experimental data available in the literatures, and show that orifice size strongly affects the bubble size. It is showed that the shear-lift force, inertia force, surface tension force and buoyancy force are major forces, and a simplified mathematical model was developed, and the detachment bubble diameter can be predicted with accuracy of <±21%.

Key words: bubble formation, liquid cross-flow, one stage model, force balance

摘要： The size of initial bubbles is an important factor to the developed bubble size distribution in a gas-liquid contactor. A liquid cross-flow over a sparger can produce smaller bubbles, and hereby enhance the performance of contactor. A one stage model by balancing the forces acting on a growing bubble was developed to describe the formation of the bubble from an orifice exposed to liquid cross-flow. The prediction with this model agrees with the experimental data available in the literatures, and show that orifice size strongly affects the bubble size. It is showed that the shear-lift force, inertia force, surface tension force and buoyancy force are major forces, and a simplified mathematical model was developed, and the detachment bubble diameter can be predicted with accuracy of <±21%.

关键词: bubble formation, liquid cross-flow, one stage model, force balance

LIU Changjun, LIANG Bin, TANG Shengwei, ZHANG Haiguang, MIN Enze. A Theoretical Model for the Size Prediction of Single Bubbles Formed under Liquid Cross-flow[J]. , 2010, 18(5): 770-776.

刘长军, 梁斌, 唐盛伟, 张海广, 闵恩泽. A Theoretical Model for the Size Prediction of Single Bubbles Formed under Liquid Cross-flow[J]. , 2010, 18(5): 770-776.

References

1 Millies, M., Mewes, D., “Interfacial area density in bubbly flow”, Chem. Eng. Process., 38 (4-6), 307-319 (1999).
2 Liang, B., Hu, Q., Zhou, H., Zhang, Q.Z., Shen, W., “Comparison of bubble behavior between single orifice and porous spargers air-water bubble columns”, J. Chem. Ind. Eng. (China), 56 (10), 1880-1886 (2005). (in Chinese)
3 Maier, C.G., “Producing small bubbles of gas in liquids by submerged orifices”, US Burean of Mines Bulletin, 260, 62-121 (1927).
4 Sullivan, S.L., Hardy, B.W., Holland, C.D., “Formation of air bubbles at orifices submerged below liquids”, AIChE J., 10 (6), 848-854 (1964).
5 Sada, E., Yasunishi, A., Katoh, S., Nishioka, M., “Bubble formation in flowing liquid”, Can. J. Chem. Eng., 56 (6), 669-672 (1978).
6 Forrester, S.E., Rielly, C.D., “Bubble formation from cylindrical, flat and concave sections exposed to a strong liquid cross-flow”, Chem. Eng. Sci., 53 (8), 1517-1527 (1998).
7 Loubiere, K., Castaignede, V., Hebrard, G., Roustan, M., “Bubble formation at a flexible orifice with liquid cross-flow”, Chem. Eng. Process., 43 (6), 717-725 (2004).
8 Kulkarni, A.A., Joshi, J.B., “Bubble formation and bubble rise velocity in gas-liquid systems, a review”, Ind. Eng. Chem. Res., 44 (16), 5873-5931 (2005).
9 Kawase, Y., Ulbrecht, J.J., “Formation of drops and bubbles in flowing liquids”, Ind. Eng. Chem. Process Des. Dev., 20 (4), 636-640 (1981).
10 Tsuge, H., Hibino, S., Nojima, U., “Volume of a bubble formed at a single submerged orifice in a flowing liquid”, Int. Chem. Eng., 21 (4), 630-636 (1981).
11 Wace, P.F., Morrell, M.S., Woodrow, J. “Bubble formation in a transverse horizontal liquid flow”, Chem. Eng. Comm., 62, 93-106 (1987).
12 Marshall, S.H., Chudacek, M.W., Bagster, G.F., “A model for bubble formation from an orifice with liquid cross-flow”, Chem. Eng. Sci., 48 (11), 2049-2059 (1993).
13 Kim, I., Kamotani, Y., Ostrach, S., “Modeling bubble and drop formation in flowing liquids in microgravity”, AIChE J., 40 (1), 19-28 (1994).
14 Nahra, H.K., Kamotani, Y., “Prediction of bubble diameter at detachment from a wall orifice in liquid cross-flow under reduced and normal gravity conditions”, Chem. Eng. Sci., 58 (1), 55-69 (2003).
15 Duhar, G., Colin. C., “A predictive model for the detachment of bubbles injected in a viscous shear flow with small inertial effects”, Phys. Fluids, 16 (5), L31-L34 (2004).
16 Duhar, G., Colin, C., “Dynamics of bubble growth and detachment in a viscous shear flow”, Phys. Fluids, 18 (7), 077101-1-13 (2006).
17 Tan, R.B.H., Chen, W.B., Tan, K.H., “A non-spherical model for bubble formation with liquid cross-flow”, Chem. Eng. Sci., 55 (24), 6259-6267 (2000).
18 Yang, G.Q., Luo, X., Lau, R., Fan, L.S., “Bubble formation in high-pressure liquid-solid suspensions with plenum pressure fluctuation”, AIChE J., 46 (11), 2162-2174 (2000).
19 Marshall, S.H., “Air bubble formation from an orifice with liquid cross-flow”, Ph.D Thesis, University of Sydney, Australia ( 1990).
20 Gaddis, E.S., Vogelpohl, A., “Bubble formation in quiescent liquids under constant flow conditions”, Chem. Eng. Sci., 41 (1), 97-105 (1986).
21 Legendre, D., Magnaudet, J., “The lift force on a spherical bubble in a viscous linear shear flow”, J. Fluid Mech., 368, 81-126 (1998).
22 Bhunia, A., Pais, S.C., Kamotani, Y., Kim, I., “Bubble formation in a coflow configuration in normal and reduced gravity”, AIChE J., 44 (7), 1499-1509 (1998).
23 Ramakrishnan, S., Kumar, R., Kuloor, N.R., “Studies in bubble formation (I) Bubble formation under constant flow conditions”, Chem. Eng. Sci., 24, 731-747 (1969).

[1]	Li Ma, Yongjin Cui, Lin Sheng, Chencan Du, Jian Deng, Guangsheng Luo. Determination of interfacial tension and viscosity under dripping flow in a step T-junction microdevice [J]. Chinese Journal of Chemical Engineering, 2022, 42(2): 210-218.
[2]	Quanhong Zhu, Hongzhong Li, Qingshan Zhu, Qingshan Huang. Modeling of segregation in magnetized fluidized bed with binary mixture of Geldart-B magnetizable and nonmagnetizable particles [J]. Chin.J.Chem.Eng., 2018, 26(6): 1412-1422.
[3]	Ping Wu, Zhaofeng Luo, Zhifeng Liu, Zida Li, Chi Chen, Lili Feng, Liqun He. Drag-induced breakup mechanism for droplet generation in dripping within flow focusing microfluidics [J]. Chin.J.Chem.Eng., 2015, 23(1): 7-14.
[4]	JIANG Shaokun, FAN Wenyuan, ZHU Chunying, MA Youguang, LI Huaizhi. Bubble formation in non-Newtonian fluids using laser image measurement system [J]. , 2007, 15(4): 611-615.

A Theoretical Model for the Size Prediction of Single Bubbles Formed under Liquid Cross-flow

A Theoretical Model for the Size Prediction of Single Bubbles Formed under Liquid Cross-flow

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 4

Recommended Articles

Metrics

Comments