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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

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Title: 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
Other Titles: Nonlinear Wave Equations for Pressure Wave Propagation in Liquids Containing Gas Bubbles : Comparison between Two-Fluid Model and Mixture Model
Authors: 金川, 哲也1 Browse this author
渡部, 正夫2 Browse this author →KAKEN DB
矢野, 猛3 Browse this author →KAKEN DB
藤川, 重雄4 Browse this author →KAKEN DB
Authors(alt): Kanagawa, Tetsuya1
Watanabe, Masao2
Yano, Takeru3
Fujikawa, Shigeo4
Keywords: Bubble
Bubbly Liquid
Gas-Liquid Two-Phase Flow
Pressure Wave
Weakly Nonlinear Wave
Two-Fluid Model
Bubble-Liquid Mixture Model
Issue Date: 25-Nov-2010
Publisher: 日本機械学会
Journal Title: 日本機械学會論文集. B編
Journal Title(alt): Transactions of the Japan Society of Mechanical Engineers. B
Volume: 76
Issue: 771
Start Page: 1802
End Page: 1810
Abstract: Based 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.
Rights: © 2010 日本機械学会
Type: article (author version)
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 渡部 正夫

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