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The existence of only a few bubbles could drastically reduce the acousticwave speed in a liquid. Wood's equation models the linear sound speed, whilethe speed of an ideal shock waves is derived as a function of the pressureratio across the shock. The common finite amplitude waves lie, however, inbetween these limits. We show that in a bubbly medium, the high frequencycomponents of finite amplitude waves are attenuated and dissipate quickly, buta low frequency part remains. This wave is then transmitted by the collapse ofthe bubbles and its speed decreases with increasing void fraction. Wedemonstrate that the linear and the shock wave regimes can be smoothlyconnected through a Mach number based on the collapse velocity of the bubbles.

Finite amplitude wave propagation through bubbly fluids