Improvement of acoustic theory of ultrasonic waves in dilute bubbly liquids

Ando, Keita; Colonius, Tim; Brennen, Christopher E.

doi:10.1121/1.3182858

Cited by 36 publications

(25 citation statements)

References 13 publications

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“…These models are designed to capture the changes in the structure and the speed of the waves that propagate throughout the bubble cluster. Theoretical models based on linear acoustic theory (Commander & Prosperetti 1989) are already able to capture some of these effects, showing an excellent agreement with the numerical computations performed by Ando et al (2009Ando et al ( , 2011. However, these models still resort to a large number of assumptions.…”

Section: Volume-averaged Equationsmentioning

confidence: 51%

“…For the particular case of bubbly flows the final equations obtained from this analysis are known as ensemble-averaged equations (Zhang & Prosperetti 1994b). Similar approaches have been used by Akhatov et al (1997) and Akhatov, Parlitz & Lauterborn (1996) and extended models have been proposed by Tanguay (2003) and Ando, Colonius & Brennen (2009, 2011. These models are designed to capture the changes in the structure and the speed of the waves that propagate throughout the bubble cluster.…”

Section: Volume-averaged Equationsmentioning

confidence: 99%

“…However, these models still resort to a large number of assumptions. The most relevant ones are that mutual interactions among the bubbles are neglected except through their effect on the mixture-averaged flow, length scales in the (averaged) mixture are large compared to the mean bubble spacing, bubbles advect with the ambient liquid velocity, and density and velocity fluctuations in the liquid phase are uncorrelated (Ando et al 2009). …”

Section: Volume-averaged Equationsmentioning

confidence: 99%

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Modelling bubble clusters in compressible liquids

2011

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We present a new model for bubbly cavitating flows. Based on volume-averaged equations, a subgrid model is added to account for a bubble, or multiple bubbles, within each computational cell. The model converges to the solution of ensembleaveraged bubbly flow equations for weak oscillations and monodisperse systems. In the other extreme, it also converges to the theoretical solution for a single oscillating bubble, and captures the bubble radius evolution and the pressure disturbance induced in the liquid. A substantial saving of computational time is achieved compared to ensemble-averaged models for polydisperse mixtures.

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Section: Volume-averaged Equationsmentioning

confidence: 51%

Section: Volume-averaged Equationsmentioning

confidence: 99%

Section: Volume-averaged Equationsmentioning

confidence: 99%

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Modelling bubble clusters in compressible liquids

2011

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“…If bubble fission occurs after passage of the shock, the fission damping needs to be included in bubbledynamic modelling (Brennen 2002). Moreover, because polydispersity results in different frequency responses for different-sized bubbles, phase cancellations cause an additional apparent damping of the wave propagation (Smereka 2002;Colonius et al 2008;Ando, Colonius & Brennen 2009;Ando 2010).…”

Section: Theoretical Predictionsmentioning

confidence: 99%

Shock propagation through a bubbly liquid in a deformable tube

et al. 2011

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Shock propagation through a bubbly liquid contained in a deformable tube is considered. Quasi-one-dimensional mixture-averaged flow equations that include fluid-structure interaction are formulated. The steady shock relations are derived and the nonlinear effect due to the gas-phase compressibility is examined. Experiments are conducted in which a free-falling steel projectile impacts the top of an air/water mixture in a polycarbonate tube, and stress waves in the tube material and pressure on the tube wall are measured. The experimental data indicate that the linear theory is incapable of properly predicting the propagation speeds of finite-amplitude waves in a mixture-filled tube; the shock theory is found to more accurately estimate the measured wave speeds.

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“…Hence, (collective) volume oscillation of a polydisperse cloud is deemphasized due to the phase cancellations. In other words, the phase cancellation effect can be regarded as an apparent damping of the mixture-averaged dynamics and is augmented as the distribution broadens [2]. This additional damping associated with polydispersity may account for the observation at low frequency in Fig.…”

Section: R0/2clmentioning

confidence: 94%

Shock Propagation in Polydisperse Bubbly Liquids

Ando

Colonius

Brennen

2013

Bubble Dynamics and Shock Waves

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We investigate the shock dynamics of liquid flows containing small gas bubbles, based on a continuum bubbly flow model. Particular attention is devoted to the effects on shock dynamics of distributed bubble sizes and gas-phase nonlinearity. Ensemble-averaged conservation laws for polydisperse bubbly flows, together with a Rayleigh-Plesset-type model for single bubble dynamics, form the starting point for these studies. Numerical simulations of one-dimensional shock propagation reveal that phase cancellations in oscillations of different-sized bubbles can lead to an apparent damping of the averaged shock dynamics. Experimentally we study the propagation of finite-amplitude waves in a bubbly liquid in a de-formable tube. The ensemble-averaged bubbly flow model is extended to quasi-one-dimensional cases and the corresponding steady shock relations are derived. These account for the compressibilities associated with the tube deformation as well as the bubbles and host liquid. A comparison between the theory and the water-hammer experiment suggests that the gas-phase nonlinearity plays an essential role in the propagation of strong shocks.

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Improvement of acoustic theory of ultrasonic waves in dilute bubbly liquids

Cited by 36 publications

References 13 publications

Modelling bubble clusters in compressible liquids

Modelling bubble clusters in compressible liquids

Shock propagation through a bubbly liquid in a deformable tube

Shock Propagation in Polydisperse Bubbly Liquids

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