Mass transfer effects on linear wave propagation in diluted bubbly liquids

Abstract : This article investigates the importance of mass transfer effects in the effective acoustic properties of diluted bubbly liquids. The classical theory for wave propagation in bubbly liquids for pure gas bubbles is extended to capture the influence of mass transfer on the effective phase speed and attenuation of the system. The vaporization flux is shown to be important for systems close to saturation conditions and low frequencies. We derive a general expression for the transfer function that relates bubble radius and pressure changes solving the linear version of the conservation equations inside, outside and at the bubble interface. Simplified expressions for various limiting situations are derived in order to get further insight about the validity of common assumptions typically applied in bubble dynamic models. The relevance of the vapor content, the mass transfer flux across the interface and the effect of the bubble interface temperature variations is discussed in terms of characteristic nondimensional numbers. Finally we derive the various conditions that must be satisfied in order to reach the low frequency limit solutions where the phase speed does no longer depend on the forcing frequency.
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Daniel Fuster, François Montel. Mass transfer effects on linear wave propagation in diluted bubbly liquids. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2015, 779, pp.598-621. ⟨10.1017/jfm.2015.436⟩. ⟨hal-01580605⟩

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