Non-spherical multi-oscillations of a bubble in a compressible liquid

Research output: Contribution to journalReview articlepeer-review


  • Qian Wang
  • Yuan Xiang Yang
  • Danielle Sweimann Tan
  • Jian Su
  • Soon Keat Tan

Colleges, School and Institutes

External organisations

  • School of Civil and Environmental Engineering
  • National University of Singapore
  • Universidade Federal Do Rio de Janeiro
  • Nanyang Technological University


Bubble dynamics are associated with wide and important applications in cavitation erosion in many industrial systems, medical ultrasonics and underwater explosions. Two recent developments to this classical problem are reviewed in this paper. Firstly, computational studies on the problem have commonly been based on an incompressible fluid model. However, a bubble usually undergoes significantly damped oscillation due to the compressible effects. We model this phenomenon using weakly compressible theory and a modified boundary integral method. This model considers the energy loss due to shock waves emitted at minimum bubble volumes. Secondly, the computational studies so far have largely been concerned with the first-cycle of oscillation. However, a bubble usually oscillates for a few cycles before it breaks into much smaller ones. We model both the first- and second-cycles of oscillationand predict damped oscillations. Our computations correlate well with the experimental data.

Bibliographic note

Wang, Q., Yang, Y., Tan, D.S. et al. Non-spherical multi-oscillations of a bubble in a compressible liquid. J Hydrodyn 26, 848–855 (2014) doi:10.1016/S1001-6058(14)60093-7


Original languageEnglish
Pages (from-to)848-855
Number of pages8
JournalJournal of Hydrodynamics
Issue number6
Publication statusPublished - 15 Dec 2014


  • boundary integral method, compressible bubble dynamics, weakly compressible theory