Numerical simulation of shock propagation in a polydisperse bubbly liquid

Keita Ando, Tim Colonius, Christopher E. Brennen

Research output: Contribution to journalArticle

40 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
Externally publishedYes

Fingerprint

bubbles
shock
propagation
Computer simulation
Liquids
Compressibility of liquids
liquids
Viscosity of liquids
simulation
cancellation
Finite volume method
Bubbles (in fluids)
continuum flow
Conservation
Damping
flow equations
Heat transfer
finite volume method
conservation laws
compressibility

Keywords

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

ASJC Scopus subject areas

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

Cite this

Numerical simulation of shock propagation in a polydisperse bubbly liquid. / Ando, Keita; Colonius, Tim; Brennen, Christopher E.

In: International Journal of Multiphase Flow, Vol. 37, No. 6, 07.2011, p. 596-608.

Research output: Contribution to journalArticle

Ando, Keita ; Colonius, Tim ; Brennen, Christopher E. / Numerical simulation of shock propagation in a polydisperse bubbly liquid. In: International Journal of Multiphase Flow. 2011 ; Vol. 37, No. 6. pp. 596-608.
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