Skip to main content
Log in

Numerical analysis of bubble motion under a pressure pulsing condition

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The bubble motion in a compressible liquid under a pressure pulsing condition was studied numerically by solving the conservation equations of mass and momentum. The bubble deformation was computed by a level-set method, which was modified to include the compressibility effects of bubble and liquid. The numerical results demonstrate that the presence of a bubble can significantly amplify the wall pressure near the bubble, and the wall also considerably increases the bubble pressure. The effects of surface tension, viscosity and the magnitude of pressure pulse on the bubble motion were quantified.

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. J. I. Iloreta, N. M. Fung and A. J. Szeri, Dynamics of bubbles near a rigid surface subjected to a lithotripter shock wave: Part 1. Consequences of interference between incident and reflected waves, J. of Fluid Mechanics, 616 (2008) 43–61.

    Article  MATH  Google Scholar 

  2. M. L. Calvisi, J. I. Iloreta and A. J. Szeri, Dynamics of bubbles near a rigid surface subjected to a lithotripter shock wave: Part 2. Reflected shock intensifies non-spherical cavitation collapse, J. of Fluid Mechanics, 616 (2008) 63–97.

    Article  MATH  Google Scholar 

  3. E. Johnsen and T. Colonius, Shock-induced collapse of a gas bubble in shockwave lithotripsy, J. of the Acoustical Society of America, 124 (2008) 2011–2020.

    Article  Google Scholar 

  4. E. Johnsen and T. Colonius, Numerical simulation of nonspherical bubble collapse, J. of Fluid Mechanics, 629 (2009) 231–262.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. B. Freund, R. K. Shukla and A. P. Evan, Shock-induced bubble jetting into a viscous fluid with application to tissue injury in shock-wave lithotripsy, J. of Acoustical Society of America, 126 (2009) 2746–2756.

    Article  Google Scholar 

  6. H. Terashima and G. Tryggvason, A front-tracking/ghost-fluid method for fluid interfaces in compressible flows, J. of Computational Physics, 228 (2009) 4012–4037.

    Article  MATH  Google Scholar 

  7. K. Kobayashi, T. Kodama and H. Takahira, Shock wavebubble interaction near soft and rigid boundaries during lithotripsy: Numerical analysis by the improved ghost fluid method, Physics in Medicine & Biology, 56 (2011) 6421–6440.

    Article  Google Scholar 

  8. S. Majidi and A. Afshari, A ghost fluid method for sharp interface simulations of compressible multiphase flows, J. of Mechanical Science and Technology, 30 (2016) 1581–1593.

    Article  MATH  Google Scholar 

  9. R. P. Fedkiw, T. Aslam, B. Merrima and S. Osher, A nonoscillatory eulerian approach to interfaces in multimaterial flows (the Ghost fluid method), J. of Computational Physics, 152 (1999) 457–492.

    Article  MathSciNet  MATH  Google Scholar 

  10. N. Kwatra, J. Su, J. T. Gretarsson and R. Fedkiw, A method for avoiding the acoustic time step restriction in compressible flow, J. of Computational Physics, 228 (2009) 477–503.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. T. Gretarsson and R. Fedkiw, Fully conservative leak-proof treatment of thin solid structures immersed in compressible fluids, J. of Computational Physics, 245 (2013) 160–204.

    Article  MathSciNet  MATH  Google Scholar 

  12. M. Jemisona, M. Sussman and M. Arienti, Compressible, multiphase semi-implicit method with moment of fluid interface representation, J. of Computational Physics, 279 (2014) 182–217.

    Article  MathSciNet  MATH  Google Scholar 

  13. G. Huber, S. Tanguy, J.-C. Bera and B. Gilles, A time splitting projection scheme for compressible two-phase flows. Application to the interaction of bubbles with ultrasound waves, J. of Computational Physics, 302 (2015) 439–468.

    Article  MathSciNet  MATH  Google Scholar 

  14. J. Lee and G. Son, A level-set method for ultrasound-driven bubble motion with a phase change, Numerical Heat Transfer, Part A, 71 (2017) 928–943.

    Article  Google Scholar 

  15. H. Hwang and G. Son, Direct numerical simulation of 3D particle motion in an evaporating liquid film, J. of Mechanical Science and Technology, 30 (2016) 3929–3934.

    Article  Google Scholar 

  16. D. Q. Nguyen, R. P. Fedkiw and M. Kang, A boundary condition capturing method for incompressible flame discontinuities, J. of Computational Physics, 172 (2001) 71–98.

    Article  MathSciNet  MATH  Google Scholar 

  17. R. Caiden, R. P. Fedkiw and C. Anderson, A numerical method for two-phase flow consisting of separate compressible and incompressible regions, J. of Computational Physics, 166 (2001) 1–27.

    Article  MATH  Google Scholar 

  18. F. Gibou, R. P. Fedkiw, L.-T. Cheng and M. Kang, A second-order-accurate symmetric discretization of the poisson equation on irregular domains, J. of Computational Physics, 176 (2002) 205–227.

    Article  MathSciNet  MATH  Google Scholar 

  19. M. Sussman, K. M. Smith, M. Y. Hussaini, M. Ohta and R. Zhi-Wei, A sharp interface method for incompressible twophase flows, J. of Computational Physics, 221 (2007) 469–505.

    Article  MathSciNet  MATH  Google Scholar 

  20. R. P. Fedkiw, Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method, J. of Computational Physics, 175 (2002) 200–224.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gihun Son.

Additional information

Recommended by Associate Editor Hyoung-gwon Choi

Sungwook Cho received his B.S. in Mechanical Engineering from Sogang University in 2017. He is currently a graduate student of Mechanical Engineering at Sogang University, Korea. Mr. Cho’s research interests are in the area of multiphase flow and heat transfer.

Gihun Son received his B.S. and M.S. in Mechanical Engineering from Seoul National University in 1986 and 1988, respectively, and his Ph.D. in Mechanical Engineering from UCLA in 1996. Dr. Son is currently a Professor of Mechanical Engineering at Sogang University, Korea. His research interests are in the areas of multiphase flow, heat transfer, and power plant simulation.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cho, S., Son, G. & Kim, S. Numerical analysis of bubble motion under a pressure pulsing condition. J Mech Sci Technol 31, 5897–5904 (2017). https://doi.org/10.1007/s12206-017-1133-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-017-1133-x

Keywords

Navigation