Skip to main content
Log in

Numerical study of spike characteristics due to the motions of a non-spherical rebounding bubble

  • Article
  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

The boundary integral method (BIM) is used to simulate the 3-D gas bubble, generated within the two bubble pulsation periods in proximity to a free surface in an inviscid, incompressible and irrotational flow. The present method is well validated by comparing the calculated shapes of the bubble and the free surface with both the experimental results and the numerical ones obtained by the Axisymmetric BIM code. The expansion, the collapse of the gas bubble and the further evolution of the rebounding non-spherical bubble are simulated. The various variation patterns of the free surface spike and the bubble centroid for different standoff distances, the buoyancy parameters and the strength parameters are obtained to reveal the nonlinear interaction between the bubble and the free surface. The amplitude of the second maximum bubble volume and the four typical patterns of the bubble jet and the free surface spike are examined in the context of the standoff distance. The large buoyancy is used to elevate the spray dome rather than the free surface spike.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. BLAKE J. R., TAIB B. B. and DOHERTY G. Transient cavities near boundaries. Part 2. Free surface[J]. Journal of Fluid Mechanics, 1987, 181: 197–212.

    Article  Google Scholar 

  2. WANG Q., YEO K. S. and KHOO B. C. et al. Strong interaction between a buoyancy bubble and a free surface[J]. Theoretical and Computational Fluid Dynamics, 1996, 8(1): 73–88.

    Article  Google Scholar 

  3. KLASEBOER E., KHOO B. C. and HUNG K. C. Dynamics of an oscillating bubble near a floating structure[J]. Journal of Fluids and Structures, 2005, 21(4): 395–412.

    Article  Google Scholar 

  4. WILKERSON S. A. A boundary integral approach to three dimensional underwater explosion bubble dynamics[D]. Doctoral Thesis, Baltimore, USA: Johns Hopkins University, 1990.

    Google Scholar 

  5. ZHANG Y. L., YEO K. S. and KHOO B. C. et al. Threedimensional computation of bubbles near a free surface[J]. Journal of Computational Physics, 1998, 146(1): 105–123.

    Article  MathSciNet  Google Scholar 

  6. PEARSON A., COX E. and BLAKE J. R., et al. Bubble interactions near a free surface[J]. Engineering Analysis with Boundary Elements, 2004, 28(4): 295–313.

    Article  Google Scholar 

  7. LI Zhang-rui, SUN Lei and ZONG Zhi et al. A boundary element method for the simulation of non-spherical bubbles and their interactions near a free surface[J]. Acta Mechanica Sinica, 2012, 28(1): 51–65.

    Article  MathSciNet  Google Scholar 

  8. KLASEBOER E., MANICA R. and CHAN D. Y. C. et al. BEM simulations of potential flow with viscous effects as applied to a rising bubble[J]. Engineering Analysis with Boundary Elements, 2011, 35(3): 489–494.

    Article  Google Scholar 

  9. WANG Q. Non-spherical bubble dynamics of underwater explosions in a compressible fluid[J]. Physics of Fluids, 2013, 25(7): 072104.

    Google Scholar 

  10. WANG Qian-xi, YANG Yuan-xiang and TAN Danielle Sweimann et al. Non-spherical multi-oscillations of a bubble in a compressible liquid[J]. Journal of Hydrodynamics, 2014, 26(6): 848–855.

    Article  Google Scholar 

  11. PEARSON A., BLAKE J. R. and OTTO S. R. Jets in bubbles[J]. Journal of Engineering Mathematics, 2004, 48(3–4): 391–412.

    Article  MathSciNet  Google Scholar 

  12. ZHANG Y. L., YEO K. S. and KHOO B. C. 3D jet impact and toroidal bubbles[J]. Journal of Computational Physics, 2001, 166(2): 336–360.

    Article  Google Scholar 

  13. WANG C., KHOO B. C. and YEO K. S. Elastic mesh technique for 3D BIM simulation with an application to underwater explosion bubble dynamics[J]. Computers and fluids, 2003, 32(9): 1195–1212.

    Article  Google Scholar 

  14. KLASEBOER E., FERNANDEZ C. R. and KHOO B. C. A note on true desingularisation of boundary integral methods for three-dimensional potential problems[J]. Engineering Analysis With Boundary Elements, 2009, 33(6): 796–801.

    Article  MathSciNet  Google Scholar 

  15. LI Zhang-rui, SUN Lei and ZONG Zhi et al. Some dynamical characteristics of a non-spherical bubble in proximity to a free surface[J]. Acta Mechanica, 2012, 223(11): 2331–2355.

    Article  MathSciNet  Google Scholar 

  16. ZHANG A-man, WANG Chao and WANG Shi-ping et al. Experimental study of interaction between bubble and free surface[J]. Acta Physica Sinica, 2012, 61(8): 084701(in Chinese).

    Google Scholar 

  17. ZONG Zhi, HE Liang and SUN Long-quan. Numerical study of loading on the surface ship near an underwater explosion bubble[J]. Journal of ship Mechanics, 2008, 12(5): 733–739(in Chinese).

    Google Scholar 

  18. ZHANG A., YAO X. and YU X. The dynamics of three-dimensional underwater explosion bubble[J]. Journal of Sound and Vibration, 2008, 311(3): 1196–1212.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhi Zong  (宗智).

Additional information

Project supported by the National Natural Science Foundation of China (Grant Nos. 51221961, 51279030) the National Key Basic Research Development Program of China (973 Program, Grant Nos. 2013CB036101, 2010CB832704) and the Fundamental Research Funds for the Central Universities (Grant No. L2012016).

Biography: Jia-xia WANG (1988-), Male, Ph. D. Candidate

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Jx., Zong, Z., Sun, L. et al. Numerical study of spike characteristics due to the motions of a non-spherical rebounding bubble. J Hydrodyn 28, 52–65 (2016). https://doi.org/10.1016/S1001-6058(16)60607-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S1001-6058(16)60607-8

Key words

Navigation