Skip to main content
SpringerLink
Log in

Numerical investigations of the interactions between bubble induced shock waves and particle based on OpenFOAM

  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

The presence of particles and the shock waves generated by the cavitation bubbles can significantly affect the safety and the performance of hydrodynamic machineries. In the present paper, the shock waves generated by cavitation bubble collapsing near the particle are numerically investigated based on the OpenFOAM together with the numerical schlieren for the shock wave identifications. The numerical results reveal that the stand-off distance is one of the paramount factors affecting the interactions between the particle and the shock waves. Several different kinds of shock waves (e.g., bubble-inception, jet formation, particle reflected and jet-split shock waves) are observed during the bubble collapsing near the particle. For stand-off distance smaller than 0.5 or larger than 1.1, the maximum pressure at particle surface generated by the bubble growth can surpass those of the collapse stage.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Sun X., You W., Xuan X. et al. Effect of the cavitation generation unit structure on the performance of an advanced hydrodynamic cavitation reactor for process intensifications [J]. Chemical Engineering Journal, 2021, 412: 128600.

    Article  Google Scholar 

  2. Lai G., Geng S., Zheng H. et al. Early dynamics of a laser-induced underwater shock wave [J]. Journal of Fluids Engineering, 2022, 144(1): 011501.

    Article  Google Scholar 

  3. Sun X., Xia G., You W. et al. Effect of the arrangement of cavitation generation unit on the performance of an advanced rotational hydrodynamic cavitation reactor [J]. Ultrasonics Sonochemistry, 2023, 99: 106544.

    Article  Google Scholar 

  4. Wang X. Y., Su H. C., Li S. W. et al. Experimental research of the cavitation bubble dynamics during the second oscillation period near a spherical particle [J]. Journal of Hydrodynamics, 2023, 35(4): 700–711.

    Article  Google Scholar 

  5. Hu J. S., Lu X., Liu Y. et al. Numerical and experimental investigations on the jet and shock wave dynamics during the cavitation bubble collapsing near spherical particles based on OpenFOAM [J]. Ultrasonics Sonochemistry, 2023, 99: 106576.

    Article  Google Scholar 

  6. Hu J. S., Liu Y., Liu Y. et al. Numerical investigation of cavitation bubblejet dynamics near a spherical particle [J]. Symmetry, 2023, 15: 1655.

    Article  Google Scholar 

  7. Reuter F., Ohl C. D. Supersonic needle-jet generation with single cavitation bubbles [J]. Applied Physics Letters, 2021, 118(13): 134103.

    Article  Google Scholar 

  8. Ohl C. D., Philipp A., Lauterborn W. Cavitation bubble collapse studied at 20 million frames per second [J]. Annalen der Physik, 1995, 507(1): 26–34.

    Article  Google Scholar 

  9. Ohl C. D., Kurz T., Geisler R. et al. Bubble dynamics, shock waves and sonoluminescence [J]. Philosophical Transactions of the Royal Society of London, 1999, 357(1751): 269–294.

    Article  MathSciNet  Google Scholar 

  10. Lindau O., Lauterborn W. Cinematographic observation of the collapse and rebound of a laser-produced cavitation bubble near a wall [J]. Journal of Fluid Mechanics, 2003, 479: 327–348.

    Article  Google Scholar 

  11. Zhang M., Chang Q., Ma X. et al. Physical investigation of the counterjet dynamics during the bubble rebound [J]. Ultrasonics Sonochemistry, 2019, 58: 104706.

    Article  Google Scholar 

  12. Tomita Y., Shima A. Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse [J]. Journal of Fluid Mechanics, 1986, 169: 535–564.

    Article  Google Scholar 

  13. Yang X., Liu C., Wan D. et al. Numerical study of the shock wave and pressure induced by single bubble collapse near planar solid wall [J]. Physics of Fluids, 2021, 33(7): 073311.

    Article  Google Scholar 

  14. Tian L., Zhang Y., Yin J. et al. Study on the liquid jet and shock wave produced by a near-wall cavitation bubble containing a small amount of non-condensable gas [J]. International Communications in Heat and Mass Transfer, 2023, 145: 106815.

    Article  Google Scholar 

  15. Požar T., Agrež V., Petkovsek R. Laser-induced cavitation bubbles and shock waves in water near a concave surface [J]. Ultrasonics Sonochemistry, 2021, 73: 105456.

    Article  Google Scholar 

  16. Cui P., Zhang A. M., Wang S. P. et al. Experimental study on interaction, shock wave emission and ice breaking of two collapsing bubbles [J]. Journal of Fluid Mechanics, 2020, 897: A25.

    Article  Google Scholar 

  17. Huang G., Zhang M., Ma X. et al. Dynamic behavior of a single bubble between the free surface and rigid wall [J]. Ultrasonics Sonochemistry, 2020, 67: 105147.

    Article  Google Scholar 

  18. Lauterborn W., Kurz T. Physics of bubble oscillations [J]. Reports on Progress in Physics, 2010, 73: 106501.

    Article  Google Scholar 

  19. Vogel A., Lauterborn W., Timm R. Optical and acoustic investigations of the dynamics of laser-produced cavitation bubbles near a solid boundary [J]. Journal of Fluid Mechanics, 1989, 206: 299–338.

    Article  Google Scholar 

  20. Minsier V., De Wilde J., Proost J. Simulation of the effect of viscosity on jet penetration into a single cavitating bubble [J]. Journal of Applied Physics, 2009, 106: 084906.

    Article  Google Scholar 

  21. Calvisi M. L., Iloreta J. I., Szeri A. J. Dynamics of bubbles near a rigid surface subjected to a lithotripter shock wave: II. Reflected shock intensifies non-spherical cavitation collapse [J]. Journal of Fluid Mechanics, 2008, 616: 63–97.

    Article  Google Scholar 

  22. Zevnik J., Dular M. Cavitation bubble interaction with a rigid spherical particle on a microscale [J]. Ultrasonics Sonochemistry, 2020, 69: 105252.

    Article  Google Scholar 

  23. Yin J. Y., Zhang Y. X., Zhu J. J. et al. Numerical investigation of the interactions between a laser-generated bubble and a particle near a solid wall [J]. Journal of Hydrodynamics, 2021, 33(2): 311–322.

    Article  Google Scholar 

  24. Yin J., Zhang Y., Zhu J. et al. An experimental and numerical study on the dynamical behaviors of the rebound cavitation bubble near the solid wall [J]. International Journal of Heat and Mass Transfer, 2021, 177: 121525.

    Article  Google Scholar 

  25. Zeng Q., Gonzalez-Avila S. R., Ohl C. D. Splitting and jetting of cavitation bubbles in thin gaps [J]. Journal of Fluid Mechanics, 2020, 896: A28.

    Article  MathSciNet  Google Scholar 

  26. Weller H. G. A new approach to VOF-based interface capturing methods for incompressible and compressible flow [R]. OpenCFD Ltd., Report TR/HGW, 2008.

  27. Brackbill J. U., Kothe D. B., Zemach C. A continuum method for modeling surface tension [J]. Journal of Computational Physics, 1992, 100(2): 335–354.

    Article  MathSciNet  Google Scholar 

  28. Greenshields C. OpenFOAM v10 User Guide [R]. Caversham, UK: CFD Direct, 2022, 422.

    Google Scholar 

  29. Schnerr G. H., Sauer J. Physical and numerical modeling of unsteady cavitation dynamics [C]. Proceedings of the Fourth International Conference on Multiphase Flow, New Orleans, LO, USA, 2001.

  30. Plesset M. S., Prosperetti A. Bubble dynamics and cavitation [J]. Annual Review of Fluid Mechanics, 1977, 9(1): 145–185.

    Article  Google Scholar 

  31. Zhang A. M., Li S. M., Cui P. et al. A unified theory for bubble dynamics [J]. Physics of Fluids, 2023, 35(3): 033323.

    Article  Google Scholar 

  32. Uzun A., Malik M. R. Wall-resolved large-eddy simulations of transonic shock-induced flow separation [J]. AIAA Journal, 2019, 57(5): 1955–1972.

    Article  Google Scholar 

  33. Huai W. X., Zhang J., Katul G. G. et al. The structure of turbulent flow through submerged flexible vegetation [J]. Journal of Hydrodynamics, 2019, 31(2): 274–292.

    Article  Google Scholar 

  34. Dumon J., Gourdain N., Michel L. Fluid-structure interaction between a composite aileron and a turbulent flow at transonic conditions [C]. Proceedings of the 53rd 3AF International Conference on Applied Aerodynamics, Salon de Provence, France, 2018.

  35. Zhang Y., Chen F., Zhang Y. et al. Experimental investigations of interactions between a laser-induced cavitation bubble and a spherical particle [J]. Experimental Thermal and Fluid Science, 2018, 98: 645–661.

    Article  Google Scholar 

Download references

Acknowledgement

This research received other funding agency in the public, commercial, or not-for-profit sectors.

Author information

Authors and Affiliations

  1. Key Laboratory of Power Station Energy Transfer Conversion and System, Ministry of Education, School of Energy Power and Mechanical Engineering, North China Electric Power University, Beijing, 102206, China

    Jia-xin Yu, Jin-sen Hu, Yu-hang Liu, Yi-fan Liu, Dan Gao & Yu-ning Zhang

Authors
  1. Jia-xin Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jin-sen Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu-hang Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yi-fan Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Dan Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Yu-ning Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu-ning Zhang.

Ethics declarations

Conflict of interest: The authors declare that they have no conflict of interest. Yu-ning Zhang is editorial board member for the Journal of Hydrodynamics and was not involved in the editorial review, or the decision to publish this article. All authors declare that there are no other competing interests.

Ethical approval: This article does not contain any studies with human participants or animals performed by any of the authors.

Informed consent: Not application.

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 51976056).

Biography: Jia-xin Yu (1993-), Female, Ph. D.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yu, Jx., Hu, Js., Liu, Yh. et al. Numerical investigations of the interactions between bubble induced shock waves and particle based on OpenFOAM. J Hydrodyn (2024). https://doi.org/10.1007/s42241-024-0017-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s42241-024-0017-7

Key words

Search

Navigation