2023-06-03T01:55:46Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/517192022-11-17T02:08:08Zhdl_2115_20045hdl_2115_139気泡を含む液体中の圧力波伝播の非線形波動方程式 : 二流体モデルと混合体モデルとの比較Nonlinear Wave Equations for Pressure Wave Propagation in Liquids Containing Gas Bubbles : Comparison between Two-Fluid Model and Mixture Model金川, 哲也渡部, 正夫矢野, 猛藤川, 重雄BubbleBubbly LiquidGas-Liquid Two-Phase FlowPressure WaveWeakly Nonlinear WaveTwo-Fluid ModelBubble-Liquid Mixture Model534Based on the unified theory by the present authors (T. Kanagawa, et al., J. Fluid Sci. Tech., 5, 2010), the Korteweg-de Vries-Burgers (KdVB) equation and the nonlinear Schrödinger (NLS) equation with an attenuation term for weakly nonlinear waves in bubbly liquids are re-derived from a system of bubble-liquid mixture model equations composed of the conservation equations of mass and momentum, the Keller equation for bubble dynamics, and supplementary equations. We show that the re-derived KdVB equation and NLS equation are essentially the same as those derived from a system of two-fluid model equations except for the coefficients of nonlinear, dissipation, and dispersion terms. The differences in these coefficients are studied in detail, and we find that for the case of KdVB equation, the mixture model is valid only for sufficiently small initial void fractions. On the other hand, for the case of NLS equation, the range of validity of the mixture model depends on not only the initial void fraction but also the wavenumber concerned.日本機械学会Journal Articleapplication/pdfhttp://hdl.handle.net/2115/51719https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/51719/3/NKRB76-771_1802-1810.pdf0387-5016日本機械学會論文集. B編76771180218102010-11-25jpn© 2010 日本機械学会author