TY - JOUR
T1 - Numerical simulation of shock propagation in a polydisperse bubbly liquid
AU - Ando, Keita
AU - Colonius, Tim
AU - Brennen, Christopher E.
N1 - Funding Information:
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).
PY - 2011/7
Y1 - 2011/7
N2 - 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.
AB - 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.
KW - Bubble screen
KW - Bubble size distributions
KW - Continuum bubbly flow
KW - Finite volume method
KW - Shock dynamics
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U2 - 10.1016/j.ijmultiphaseflow.2011.03.007
DO - 10.1016/j.ijmultiphaseflow.2011.03.007
M3 - Article
AN - SCOPUS:79956193432
SN - 0301-9322
VL - 37
SP - 596
EP - 608
JO - International Journal of Multiphase Flow
JF - International Journal of Multiphase Flow
IS - 6
ER -