Eulerian-Lagrangian simulation of bubble coalescence in bubbly flow using the spring-dashpot model

doi:10.1016/j.cjche.2016.08.006

›› 2017, Vol. 25 ›› Issue (3): 249-256.DOI: 10.1016/j.cjche.2016.08.006

• Fluid Dynamics and Transport Phenomena • Next Articles

Eulerian-Lagrangian simulation of bubble coalescence in bubbly flow using the spring-dashpot model

Jing Xue^1,2, Feiguo Chen¹, Ning Yang¹, Wei Ge¹

1 State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, P. O. Box 353, Beijing 100190, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China

Received:2016-04-15 Revised:2016-08-08 Online:2017-04-15 Published:2017-03-28
Supported by:
The authors wish to acknowledge the long term support from the National Natural Science Foundation of China (Grant No. 91434121), Ministry of Science and Technology of China (Grant No. 2013BAC12B01) and State Key Laboratory of Multiphase complex systems (Grant No. MPCS-2015-A-03) and Chinese Academy of Sciences (Grant No. XDA07080301).

Eulerian-Lagrangian simulation of bubble coalescence in bubbly flow using the spring-dashpot model

Jing Xue^1,2, Feiguo Chen¹, Ning Yang¹, Wei Ge¹

1 State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, P. O. Box 353, Beijing 100190, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China

通讯作者: Ning Yang
基金资助:
The authors wish to acknowledge the long term support from the National Natural Science Foundation of China (Grant No. 91434121), Ministry of Science and Technology of China (Grant No. 2013BAC12B01) and State Key Laboratory of Multiphase complex systems (Grant No. MPCS-2015-A-03) and Chinese Academy of Sciences (Grant No. XDA07080301).

Abstract

Abstract: The Eulerian-Lagrangian simulation of bubbly flow has the advantage of tracking the motion of bubbles in continuous fluid, and hence the position and velocity of each bubble could be accurately acquired. Previous simulation usually used the hard-sphere model for bubble-bubble interactions, assuming that bubbles are rigid spheres and the collisions between bubbles are instantaneous. The bubble contact time during collision processes is not directly taken into account in the collision model. However, the contact time is physically a prerequisite for bubbles to coalesce, and should be long enough for liquid film drainage. In thiswork we applied the spring-dashpot model to model the bubble collisions and the bubble contact time, and then integrated the spring-dashpot model with the film drainage model for coalescence and a bubble breakage model. The bubble contact time is therefore accurately recorded during the collisions. We investigated the performance of the spring-dashpot model and the effect of the normal stiffness coefficient on bubble coalescence in the simulation. The results indicate that the spring-dashpot model together with the bubble coalescence and breakage model could reasonably reproduce the two-phase flow field, bubble coalescence and bubble size distribution. The influence of normal stiffness coefficient on simulation is also discussed.

Key words: Bubble column, Spring-dashpot model, Coalescence, Break-up, Bubble size distribution

摘要： The Eulerian-Lagrangian simulation of bubbly flow has the advantage of tracking the motion of bubbles in continuous fluid, and hence the position and velocity of each bubble could be accurately acquired. Previous simulation usually used the hard-sphere model for bubble-bubble interactions, assuming that bubbles are rigid spheres and the collisions between bubbles are instantaneous. The bubble contact time during collision processes is not directly taken into account in the collision model. However, the contact time is physically a prerequisite for bubbles to coalesce, and should be long enough for liquid film drainage. In thiswork we applied the spring-dashpot model to model the bubble collisions and the bubble contact time, and then integrated the spring-dashpot model with the film drainage model for coalescence and a bubble breakage model. The bubble contact time is therefore accurately recorded during the collisions. We investigated the performance of the spring-dashpot model and the effect of the normal stiffness coefficient on bubble coalescence in the simulation. The results indicate that the spring-dashpot model together with the bubble coalescence and breakage model could reasonably reproduce the two-phase flow field, bubble coalescence and bubble size distribution. The influence of normal stiffness coefficient on simulation is also discussed.

关键词: Bubble column, Spring-dashpot model, Coalescence, Break-up, Bubble size distribution

Jing Xue, Feiguo Chen, Ning Yang, Wei Ge. Eulerian-Lagrangian simulation of bubble coalescence in bubbly flow using the spring-dashpot model[J]. , 2017, 25(3): 249-256.

References

[1] C.A. Coulaloglou, L.L. Tavlarides, Description of interaction processes in agitated liquid-liquid dispersions, Chem. Eng. Sci. 32(1977) 1289-1297.
[2] M.J. Prince, H.W. Blanch, Bubble coalescence and break-up in air-sparged bubble columns, AIChE J. 36(1990) 1485-1499.
[3] H. Luo, H.F. Svendsen, Theoretical model for drop and bubble breakup in turbulent dispersions, AIChE J. 42(1996) 1225-1233.
[4] V. Alopaeus, J. Koskinen, K.I. Keskinen, J. Majander, Simulation of the population balances for liquid-liquid systems in a non-ideal stirred tank. Part 2-Parameter fitting and the use of the multiblock model for dense dispersions, Chem. Eng. Sci. 57(2002) 1815-1825.
[5] F. Lehr, M. Millies, D. Mewes, Bubble-size distributions and flow fields in bubble columns, AIChE J. 48(2002) 2426-2443.
[6] E. Delnoij, F.A. Lammers, J.A.M. Kuipers, W.P.M. van Swaaij, Dynamic simulation of dispersed gas-liquid two-phase flow using a discrete bubble model, Chem. Eng. Sci. 52(9) (1997) 1429-1458.
[7] M. Sommerfeld, E. Bourloutski,D. Bröder, Euler/Lagrange calculations of bubbly flows with consideration of bubble coalescence, Can. J. Chem. Eng. 81(2003) 508-518.
[8] D. Darmana, N.G. Deen, J.A.M. Kuipers, Parallelization of an Euler-Lagrange model using mixed domain decomposition and a mirror domain technique:Application to dispersed gas-liquid two-phase flow, J. Comput. Phys. 220(1) (2006) 216-248.
[9] Y.M. Lau, N.G. Deen, J.A.M. Kuipers, Bubble breakup in Euler-Lagrange simulations of bubbly flow, 7th Int. Conf. on Multi-phase Flow (ICMF), Tampa, FL, 2010.
[10] R. Sungkorn, J.J. Derksen, J.G. Khinast, Euler-Lagrange modeling of a gas-liquid stirred reactor with consideration of bubble breakage and coalescence, AIChE J. 58(2012) 1356-1370.
[11] D. Jain, Y.M. Lau, J.A.M. Kuipers, N.G. Deen, Discrete bubble modeling for a microstructured bubble column, Chem. Eng. Sci. 100(2013) 496-505.
[12] M.C. Gruber, S. Radl, J.G. Khinast, Coalescence and break-up in bubble columns:Euler-Lagrange simulations using a stochastic approach, Chem. Ing. Tech. 7(2013) 1118-1130.
[13] Y.M. Lau, W. Bai, N.G. Deen, J.A.M. Kuipers, Numerical study of bubble break-up in bubbly flows using a deterministic Euler-Lagrange framework, Chem. Eng. Sci. 108(2014) 9-22.
[14] J. Xue, Applicability of the soft-spheremodel in bubbly flowMaster Thesis University of Chinese Academy of Sciences, China, 2016.
[15] A. Tomiyama, Struggle with computational bubble dynamics, Third International Conference on Multiphase Flow, ICMF'98, Lyon, France, 1998.
[16] P.A. Cundall, O.D.L. Strack, A discrete numerical model for granular assemblies, Geotechnique 29(1979) 47-65.
[17] S. Becker, A. Sokolichin, G. Eigenberger, Gas-liquid flow in bubble columns and loop reactors:Part II. Comparison of detailed experiments and flow simulations, Chem. Eng. Sci. 49(1994) 5747-5762.
[18] N.G. Deen, B.H. Hjertager, T. Solberg, Comparison of PIV and LDA measurement methods applied to the gas-liquid flow in a bubble column, Presented at the 10th international symposium on applications of laser techniques to fluid mechanics, Lisbon, Portugal, 2000.
[19] R. Kirkpatrick, M. Lockett, Influence of approach velocity on bubble coalescence, Chem. Eng. Sci. 29(1974) 2362-2373.
[20] A.K. Chesters, G. Hofman, Bubble coalescence in pure liquids, Appl. Sci. Res. 38(1982) 353-361.
[21] C. Tsouris, L.L. Tavlarides, Breakage and coalescence models for drops in turbulent dispersions, AIChE J. 40(1994) 395-406.
[22] T. Wang, J. Wang, Y. Jin, A novel theoretical breakup kernel function for bubbles/droplets in a turbulent flow, Chem. Eng. Sci. 58(2003) 4629-4637.
[23] A.K. Chesters, The modeling of coalescence processes in fluid-liquid dispersions:A review of current understanding, Chem. Eng. Res. Des. Trans. Inst. Chem. Eng. Part A 69(1991) 259-270.
[24] N.G. Deen, T. Solberg, B.H. Hjertager, Large Eddy simulation of the gas-liquid flow in a square cross-sectioned bubble column, Chem. Eng. Sci. 56(2001) 6341-6349.
[25] R. Hansen, Computational and experimental study of bubble size in bubble columnsPh. D. Thesis Aalborg University, Denmark, 2009.

Eulerian-Lagrangian simulation of bubble coalescence in bubbly flow using the spring-dashpot model

Eulerian-Lagrangian simulation of bubble coalescence in bubbly flow using the spring-dashpot model

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