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

Fingerprint

Liquids
Bubbles (in fluids)
Gases
Water hammer
Computer simulation
Compressibility
Conservation
Damping
Experiments

ASJC Scopus subject areas

  • Engineering(all)

Cite this

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

Shock propagation in polydisperse bubbly liquids. / Ando, Keita; Colonius, Tim; Brennen, Christopher E.

Bubble Dynamics and Shock Waves. Springer Berlin Heidelberg, 2013. p. 141-175.

Research output: Chapter in Book/Report/Conference proceedingChapter

Ando, K, Colonius, T & Brennen, CE 2013, Shock propagation in polydisperse bubbly liquids. in Bubble Dynamics and Shock Waves. Springer Berlin Heidelberg, pp. 141-175. https://doi.org/10.1007/978-3-642-34297-4_5
Ando K, Colonius T, Brennen CE. Shock propagation in polydisperse bubbly liquids. In Bubble Dynamics and Shock Waves. Springer Berlin Heidelberg. 2013. p. 141-175 https://doi.org/10.1007/978-3-642-34297-4_5
Ando, Keita ; Colonius, Tim ; Brennen, Christopher E. / Shock propagation in polydisperse bubbly liquids. Bubble Dynamics and Shock Waves. Springer Berlin Heidelberg, 2013. pp. 141-175
@inbook{5e7afaf5205c4030a1871042c2ceca13,
title = "Shock propagation in polydisperse bubbly liquids",
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.",
author = "Keita Ando and Tim Colonius and Brennen, {Christopher E.}",
year = "2013",
month = "1",
day = "1",
doi = "10.1007/978-3-642-34297-4_5",
language = "English",
isbn = "9783642342967",
pages = "141--175",
booktitle = "Bubble Dynamics and Shock Waves",
publisher = "Springer Berlin Heidelberg",

}

TY - CHAP

T1 - Shock propagation in polydisperse bubbly liquids

AU - Ando, Keita

AU - Colonius, Tim

AU - Brennen, Christopher E.

PY - 2013/1/1

Y1 - 2013/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85031017245&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85031017245&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-34297-4_5

DO - 10.1007/978-3-642-34297-4_5

M3 - Chapter

SN - 9783642342967

SP - 141

EP - 175

BT - Bubble Dynamics and Shock Waves

PB - Springer Berlin Heidelberg

ER -