Skip to Main content Skip to Navigation
Journal articles

Acoustics of a bubbly fluid at large bubble concentration

Abstract : The homogenization process is used to investigate how acoustic waves propagate in a bubbly fluid at finite concentration. This method involves the consideration of waves whose lengths are large compared with the bubble size. We focus on the linear domain, with viscous, thermal and capillary effects. It is shown that this medium displays three different macroscopic descriptions according to bubble diameter and wave frequency. For bubbles of small size, the capillary effect leads to a model where in acoustic waves are either propagative with low celerity or diffusive. On increasing the bubble diameter we obtain waves which are damped and dispersed by both viscous and thermal effects. Finally for large bubbles, we get biphasic undamped and dispersed waves. Moreover, the homogenization method allows us to predict the kind of behaviour and the accuracy of the model from a knowledge of the physical characteristics of the mixture. Applications of these results are presented in the case of water containing air bubbles in equal proportion.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-00940459
Contributor : Christian Cardillo <>
Submitted on : Wednesday, February 5, 2014 - 3:50:07 PM
Last modification on : Friday, November 6, 2020 - 4:11:24 AM
Long-term archiving on: : Monday, May 5, 2014 - 10:08:08 PM

File

Acoustic_of_a_bubby_fluid_at_l...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00940459, version 1

Collections

CNRS | ENTPE | UDL | UGA

Citation

Claude Boutin, Jean-Louis Auriault. Acoustics of a bubbly fluid at large bubble concentration. European Journal of Mechanics - B/Fluids, Elsevier, 1993, 12 (3), pp.367-399. ⟨hal-00940459⟩

Share

Metrics

Record views

253

Files downloads

109