Numerical simulation of shock propagation in a polydisperse bubbly liquid

Keita Ando, Tim Colonius, Christopher E. Brennen

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

The effect of distributed bubble nuclei sizes on shock propagation in a bubbly liquid is numerically investigated. An ensemble-averaged technique is employed to derive the statistically averaged conservation laws for polydisperse bubbly flows. A finite-volume method is developed to solve the continuum bubbly flow equations coupled to a single-bubble-dynamic equation that incorporates the effects of heat transfer, liquid viscosity and compressibility. The one-dimensional shock computations reveal that the distribution of equilibrium bubble sizes leads to an apparent damping of the averaged shock dynamics due to phase cancellations in oscillations of the different-sized bubbles. If the distribution is sufficiently broad, the phase cancellation effect can dominate over the single-bubble-dynamic dissipation and the averaged shock profile is smoothed out.

Original languageEnglish
Pages (from-to)596-608
Number of pages13
JournalInternational Journal of Multiphase Flow
Volume37
Issue number6
DOIs
Publication statusPublished - 2011 Jul 1
Externally publishedYes

Keywords

  • Bubble screen
  • Bubble size distributions
  • Continuum bubbly flow
  • Finite volume method
  • Shock dynamics

ASJC Scopus subject areas

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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