Scaling in the shock-bubble interaction

Kedem Levy, O. Sadot, A. Rikanati, D. Kartoon, Y. Srebro, A. Yosef-Hai, G. Ben-Dor, D. Shvarts

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


The passage of a shock wave through a spherical bubble results in the formation of a vortex ring. In the present study, simple dimensional analysis is used to show that the circulation is linearly dependent on the surrounding material speed of sound cs and the initial bubble radius R. In addition, it is shown that the velocities characterizing the flow field are linearly dependent on the speed of sound, and are independent of the initial bubble radius. The dependence of the circulation on the shock wave Mach number M is derived by Samtaney and Zabusky (1994) as (1 + 1/M + 2/M2) (M - 1). Experiments were performed for slow/fast (air-helium) and fast/slow (air-SF6) interactions. Full numerical simulations were conducted resulting in good agreement. From the results, it is seen that in both cases, according to the proposed scaling, the vortex ring velocity is bubble radius independent. The numerical results for the slow/fast interaction show that the proposed Mach scaling is valid for M < 2. Above M ≅ 2, the topology of the bubble changes due to a competition between the upstream surface of the bubble and the undisturbed shock wave.

Original languageEnglish
Pages (from-to)335-339
Number of pages5
JournalLaser and Particle Beams
Issue number3
StatePublished - 1 Sep 2003


  • Bubbles
  • Circulation
  • Shock waves
  • Vortex ring
  • Vorticity deposition model

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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