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Published July 2011 | public
Journal Article

Numerical simulation of shock propagation in a polydisperse bubbly liquid

Abstract

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.

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).

Additional details

Created:
August 22, 2023
Modified:
October 23, 2023