Shock propagation in polydisperse bubbly liquids

Keita Ando, Tim Colonius, Christopher E. Brennen

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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
Pages141-175
Number of pages35
ISBN (Electronic)9783642342974
ISBN (Print)9783642342967
DOIs
Publication statusPublished - 2013 Jan 1

ASJC Scopus subject areas

  • Engineering(all)

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    Ando, K., Colonius, T., & Brennen, C. E. (2013). Shock propagation in polydisperse bubbly liquids. In Bubble Dynamics and Shock Waves (pp. 141-175). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-34297-4_5