Shock propagation in polydisperse bubbly liquids

Keita Ando, Tim Colonius, Christopher E. Brennen

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)


We investigate the shock dynamics of liquid flows containing small gas bubbles with numerical simulations based on a continuum bubbly flow model. Particular attention is devoted to the effects of distributed bubble sizes and gas-phase nonlinearity on shock dynamics. Ensemble-averaged conservation laws for polydisperse bubbly flows are closed with a Rayleigh-Plesset-type model for single bubble dynamics. Numerical simulations of one-dimensional shock propagation reveal that phase cancellations in the oscillations of different-sized bubbles can lead to an apparent damping of the averaged shock dynamics. Experimentally, we study the propagation of waves in a deformable tube filled with a bubbly liquid. The model is extended to quasi-one-dimensional cases. This leads to steady shock relations that account for the compressibility associated with tube deformation, bubbles and host liquid. A comparison between the theory and the water-hammer experiments suggests that the gas-phase nonlinearity plays an essential role in the propagation of shocks.

Original languageEnglish
Title of host publicationBubble Dynamics and Shock Waves
PublisherSpringer Berlin Heidelberg
Number of pages35
ISBN (Electronic)9783642342974
ISBN (Print)9783642342967
Publication statusPublished - 2013 Jan 1

ASJC Scopus subject areas

  • Engineering(all)


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