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(流体工学,流体機械)
書誌事項
- タイトル別名
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- Nonlinear Wave Equations for Pressure Wave Propagation in Liquids Containing Gas Bubbles : Comparison between Two-Fluid Model and Mixture Model(Fluids Engineering)
- 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
- キホウ オ フクム エキタイ チュウ ノ アツリョクハ デンパ ノ ヒセンケイ ハドウ ホウテイシキ 2リュウタイ モデル ト コンゴウタイ モデル ト ノ ヒカク
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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 Schrodinger (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.
収録刊行物
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- 日本機械学会論文集Ｂ編
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日本機械学会論文集Ｂ編 76 (771), 1802-1810, 2010
一般社団法人 日本機械学会
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詳細情報 詳細情報について
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- CRID
- 1390001206294520064
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- NII論文ID
- 110007989251
- 120005183172
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- NII書誌ID
- AN00187441
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- ISSN
- 18848346
- 03875016
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- HANDLE
- 2115/51719
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- NDL書誌ID
- 10916358
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- IRDB
- NDL
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