マイクロバブル気液界面における物質輸送を伴う超音波伝播の理論解析

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  • Theoretical Study on Ultrasound Propagation in Micro-bubbly Liquids Accompanied with a Mass Flux at Bubble-Liquid Interface

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<p>An effect of mass transfer at a bubble-liquid interface on weakly nonlinear propagation of pressure waves in bubbly liquids is theoretically investigated. We focus on a low frequency long wave and derive a KdV-Burgers equation incorporating the effect of mass transfer. The effect of total evaporation or condensation as a mass flux across the interface is taken into account as a simple classical model. Although the heat conduction is considered, the effect of viscosity of gas inside the bubble is neglected. The set of basic equations for bubbly flows is composed of the conservation law of mass, momentum, and energy, radial oscillations of bubble, and so on. From the method of multiple scales, the KdV-Burgers equation can be derived from the second order of approximation in the basic set.</p>

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