Theory and simulation of linear wave propagation in bubbly liquids accounting for direct bubble-bubble interactions

The effect of direct bubble-bubble interactions in the response of bubble clusters remains relatively unexplored. In this work we extend the classical linear theory of wave propagation in bubbly liquids [1] to account for the effect of bubble-bubble interactions on the attenuation and the phase speed of acoustic waves. The results are tested against new simulation results obtained by applying the model presented by Fuster \& Colonius [2], which is able to capture the effect of direct bubble-bubble interactions. The results are also compared against data previously reported in the literature.\\[4pt] [1] Linear pressure waves in bubbly liquids: Comparison between theory and experiments. K.W. Commander and A. Prosperetti. J. Ac. Soc. Am. 85. 732-746. 1989.\\[0pt] [2] Modeling bubble clusters in compressible liquids. D. Fuster and T. Colonius. J. Fluid Mech. 688. 352-389. 2011.