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Shock Propagation in Polydisperse Bubbly Liquids

Ando, Keita and Colonius, Tim and Brennen, Christopher E. (2013) Shock Propagation in Polydisperse Bubbly Liquids. In: Bubble Dynamics and Shock Waves. Shock Wave Science and Technology Reference Library. No.8. Springer , Heidelberg, pp. 141-175. ISBN 9783642342967 http://resolver.caltech.edu/CaltechAUTHORS:20130719-124326298

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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.


Item Type:Book Section
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http://link.springer.com/chapter/10.1007%2F978-3-642-34297-4_5PublisherChapter
http://link.springer.com/book/10.1007/978-3-642-34297-4PublisherBook
http://dx.doi.org/10.1007/978-3-642-34297-4_5DOIChapter
http://dx.doi.org/10.1007/978-3-642-34297-4UNSPECIFIEDBook
Additional Information:© 2013 Springer-Verlag Berlin Heidelberg. The authors would like to thank Toshiyuki Sanada, Kazuaki Inaba, Jason S. Damazo, Joseph E. Shepherd and Daniel Fuster for their contributions to this manuscript. This chapter is based mainly on the first author's PhD work [111] that was supported by the DoD MURI on Mechanics and Mechanisms of Impulse Loading, Damage and Failure of Marine Structures and Materials through the Office of Naval Research (ONR Grant No. N00014-06-1-0730).
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Office of Naval Research (ONR)N00014-06-1-0730
Record Number:CaltechAUTHORS:20130719-124326298
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130719-124326298
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39469
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:19 Jul 2013 20:29
Last Modified:19 Jul 2013 22:58

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