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Numerical simulation of shock propagation in a polydisperse bubbly liquid

Ando, Keita and Colonius, Tim and Brennen, Christopher E. (2011) Numerical simulation of shock propagation in a polydisperse bubbly liquid. International Journal of Multiphase Flow, 37 (6). pp. 596-608. ISSN 0301-9322. doi:10.1016/j.ijmultiphaseflow.2011.03.007.

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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.

Item Type:Article
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Colonius, Tim0000-0003-0326-3909
Additional Information:© 2011 Elsevier Ltd. Received 7 December 2010; revised 12 February 2011; accepted 7 March 2011. Available online 25 March 2011. This work 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).
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-06-1-0730
Subject Keywords:Continuum bubbly flow; Bubble size distributions; Shock dynamics; Bubble screen; Finite volume method
Issue or Number:6
Record Number:CaltechAUTHORS:20110713-152954571
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Official Citation:Keita Ando, Tim Colonius, Christopher E. Brennen, Numerical simulation of shock propagation in a polydisperse bubbly liquid, International Journal of Multiphase Flow, Volume 37, Issue 6, July 2011, Pages 596-608, ISSN 0301-9322, DOI: 10.1016/j.ijmultiphaseflow.2011.03.007.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24412
Deposited On:13 Jul 2011 23:11
Last Modified:09 Nov 2021 16:23

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