Journal of Hydrodynamics

, Volume 31, Issue 2, pp 293–302 | Cite as

Numerical simulation of bubble detachment at submerged orifice and analysis of interface stability

  • Xian-xian Yu
  • Yi-wei WangEmail author
  • Chen-guang Huang
  • Te-zhuan Du


This paper presents the experimental and numerical results of the bubble detachment from a submerged orifice at a constant gas flow rate. The compressible large eddy simulation combined with the volume of fluid method is adopted in the simulation and is validated by experiment. The transition criterion from the elongation stage to the detachment is obtained. In the detaching stage in the simulation, the distributions of the pressure and the surface tension on the cylindrical bubble neck are obtained. The Rayleigh-Plesset equation in the cylindrical coordinate frame is used to describe this process. Based on the comparison between the numerical results and the equation analysis, a reference value of the uncertain integral parameter in the equation is determined.

Key words

Bubble interfacial dynamics large eddy simulation instability criterion Rayleigh-Plesset equation 


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  1. [1]
    Zhang L., Shoji M. Aperiodic bubble formation from a submerged orifice [J]. Chemical Engineering Science, 56(18): 5371–5381.Google Scholar
  2. [2]
    Legendre D., Zenit R., Velez-Cordero J. R. On the deformation of gas bubbles in liquids [J]. Physics of Fluids, 2012, 24: 043303.CrossRefGoogle Scholar
  3. [3]
    Legendre D. On the relation between the drag and the vorticity produced on a clean bubble [J]. Physics of Fluids, 2007, 19: 018102.CrossRefzbMATHGoogle Scholar
  4. [4]
    Gerlach D., Biswas G., Durst F. et al. Quasi-static bubble formation on submerged orifices [J]. International Journal of Heat and Mass Transfer, 2005, 48(2): 425–438.CrossRefGoogle Scholar
  5. [5]
    Buwa V. V., Gerlach D., Durst F. et al. Numerical simulations of bubble formation on submerged orifices: Period-1 and period-2 bubbling regimes [J]. Chemical Engineering Science, 2007, 62(24): 7119–7132.CrossRefGoogle Scholar
  6. [6]
    Gerlach D., Alleborn N., Buwa V. et al. Numerical simulation of periodic bubble formation at a submerged orifice with constant gas flow rate [J]. Chemical Engineering Science, 2007, 62(7): 2109–2125.CrossRefGoogle Scholar
  7. [7]
    Kulkarni A. A., Joshi J. B. Bubble formation and bubble rise velocity in gas-liquid systems: A review [J]. Industrial & Engineering Chemistry Research, 2005, 44(16): 5873–5931.CrossRefGoogle Scholar
  8. [8]
    Jamialahmadi M., Zehtaban M., Müller-Steinhagen H. et al. Study of bubble formation under constant flow conditions [J]. Chemical Engineering Research & Design, 2001, 79: 523–532.CrossRefGoogle Scholar
  9. [9]
    Di Bari S., Robinson A. J. Experimental study of gas injected bubble growth from submerged orifices [J]. Experimental Thermal and Fluid Science, 2013, 44(1): 124–137.CrossRefGoogle Scholar
  10. [10]
    Hysing S., Turek S., Kuzmin D. et al. Quantitative benchmark computations of two-dimensional bubble dynamics [J]. International Journal for Numerical Methods in Engineering, 2009, 60(11): 1259–1288.MathSciNetCrossRefzbMATHGoogle Scholar
  11. [11]
    Zhu X., Xie J., Liao Q. et al. Dynamic bubbling behaviors on a micro-orifice submerged in stagnant liquid [J]. International Journal of Heat and Mass Transfer, 2014, 68: 324–331.CrossRefGoogle Scholar
  12. [12]
    Xie J., Zhu X., Liao Q. et al. Dynamics of bubble formation and detachment from an immersed micro-orifice on a plate [J]. International Journal of Heat and Mass Transfer, 2012, 55(11-12): 3205–3213.CrossRefGoogle Scholar
  13. [13]
    Martín M., García J. M., Montes F. J. et al. On the effect of the orifice configuration on the coalescence of growing bubbles [J]. Chemical Engineering and Processing, 2008, 47(9): 1799–1809.CrossRefGoogle Scholar
  14. [14]
    Zhang J., Yu Y., Qu C. et al. Experimental study and numerical simulation of periodic bubble formation at submerged micron-sized nozzles with constant gas flow rate [J]. Chemical Engineering Science, 2017, 168: 1–10.CrossRefGoogle Scholar
  15. [15]
    Vokurka K. Significant intervals of energy transforms in bubbles freely oscillating in liquids [J]. Journal of Hydrodynamics, 2017, 29(2): 217–225.CrossRefGoogle Scholar
  16. [16]
    Sarhan A. R., Naser J., Brooks G. CFD modeling of bubble column: Influence of physico-chemical properties of the gas/liquid phases properties on bubble formation [J]. Separation and Purification Technology, 2018, 201: 130–138.CrossRefGoogle Scholar
  17. [17]
    Burton J., Waldrep R., Taborek P. Scaling and instabilities in bubble pinch-off [J]. Physical Review Letters, 2005, 94: 184502.CrossRefGoogle Scholar
  18. [18]
    Gordillo J., Sevilla A., Rodriguez-Rodriguez J. et al. Axisymmetric bubble pinch-off at high Reynolds numbers [J]. Physical Review Letters, 2005, 95: 194501.CrossRefGoogle Scholar
  19. [19]
    Leppinen D., Lister J. R. Capillary pinch-off in inviscid fluids [J]. Physics of Fluids, 2003, 15: 568.MathSciNetCrossRefzbMATHGoogle Scholar
  20. [20]
    Thoroddsen S., Etoh T., Takehara K. Experiments on bubble pinch-off [J]. Physics of Fluids, 2007, 19: 042101.CrossRefzbMATHGoogle Scholar
  21. [21]
    Gordillo J. Axisymmetric bubble collapse in a quiescent liquid pool. I. Theory and numerical simulations [J]. Physics of Fluids, 2008, 20: 112103.CrossRefzbMATHGoogle Scholar
  22. [22]
    Bolaños-Jiménez R., Sevilla A., Martinez-Bazan C. et al. Axisymmetric bubble collapse in a quiescent liquid pool. II. Experimental study [J]. Physics of Fluids, 2008, 20: 112104.CrossRefzbMATHGoogle Scholar
  23. [23]
    Quan S., Hua J. Numerical studies of bubble necking in viscous liquids [J]. Physical Review E, 2008, 066303.Google Scholar
  24. [24]
    Garnier E., Adams N., Sagaut P. Large eddy simulation for compressible flows [M]. Springer Science & Business Media, 2009.Google Scholar
  25. [25]
    Lin W. Large-eddy simulation of premixed turbulent combustion using flame surface density approach [D]. School of Graduate Studies - Theses, 2011.Google Scholar
  26. [26]
    Chen C., Fan L. S. Discrete simulation of gas-liquid bubble columns and gas-liquid-solid fluidized beds [J]. AIChE Journal, 2004, 50(2): 288–301.CrossRefGoogle Scholar
  27. [27]
    Albadawi A., Donoghue D., Robinson A. et al. On the analysis of bubble growth and detachment at low capillary and bond numbers using volume of fluid and level set methods [J]. Chemical Engineering Science, 2013, 90(Complete): 77–91.CrossRefGoogle Scholar

Copyright information

© China Ship Scientific Research Center 2018

Authors and Affiliations

  • Xian-xian Yu
    • 1
    • 2
    • 3
  • Yi-wei Wang
    • 1
    • 2
    Email author
  • Chen-guang Huang
    • 1
    • 2
  • Te-zhuan Du
    • 1
    • 2
  1. 1.Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of MechanicsChinese Academy of SciencesBeijingChina
  2. 2.Beijing Institute of Mechanical and Electrical EngineeringBeijingChina
  3. 3.School of Engineering SciencesUniversity of Chinese Academy of ScienceBeijingChina

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