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The purpose of this study is to explore the validity of the continuum model by treating the bubbles individually accounting for their interaction exactly by numerical means. Using the equation set describing the bubble behavior including interactions in the bubble cloud, we simulate the acoustical characteristics of the bubble cloud. We compare eigenfrequencies and eigenvectors obtained from these equations with the continuum model results. We discuss the limits of the validity of the continuum model in detail, and answer the question; “How many bubbles can generate a bubble cloud from the acoustical point of view ?”.

Dynamic Simulation of the Acoustic Characteristics of Bubble Clouds (2nd Report, 0n Validity of Continuum Mathematical Model)