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Two types of nonlinear wave equations for diffractive beams in bubbly liquids with nonuniform bubble number density
http://hdl.handle.net/2241/00125510
http://hdl.handle.net/2241/00125510026c8410-bb2b-4472-887a-836aeeb11b8d
名前 / ファイル | ライセンス | アクション |
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JASA_137-5 (418.6 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2015-07-29 | |||||
タイトル | ||||||
タイトル | Two types of nonlinear wave equations for diffractive beams in bubbly liquids with nonuniform bubble number density | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Kanagawa, Tetsuya
× Kanagawa, Tetsuya |
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著者別名 |
金川, 哲也
× 金川, 哲也 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | This paper theoretically treats the weakly nonlinear propagation of diffracted sound beams in nonuniform bubbly liquids. The spatial distribution of the number density of the bubbles, initially in a quiescent state, is assumed to be a slowly varying function of the spatial coordinates; the amplitude of variation is assumed to be small compared to the mean number density. A previous derivation method of nonlinear wave equations for plane progressive waves in uniform bubbly liquids [Kanagawa, Yano, Watanabe, and Fujikawa (2010). J. Fluid Sci. Technol. 5(3), 351–369] is extended to handle quasi-plane beams in weakly nonuniform bubbly liquids. The diffraction effect is incorporated by adding a relation that scales the circular sound source diameter to the wavelength into the original set of scaling relations composed of nondimensional physical parameters. A set of basic equations for bubbly flows is composed of the averaged equations of mass and momentum, the Keller equation for bubble wall, and supplementary equations. As a result, two types of evolution equations, a nonlinear Schrödinger equation including dissipation, diffraction, and nonuniform effects for high-frequency short-wavelength case, and a Khokhlov–Zabolotskaya–Kuznetsov equation including dispersion and nonuniform effects for low-frequency long-wavelength case, are derived from the basic set. | |||||
書誌情報 |
The Journal of the Acoustical Society of America 巻 137, 号 5, p. 2642-2654, 発行日 2015-05 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0001-4966 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00253792 | |||||
PubMed番号 | ||||||
識別子タイプ | PMID | |||||
関連識別子 | 25994696 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1121/1.4916371 | |||||
権利 | ||||||
権利情報 | Copyright 2015 Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America. | |||||
権利 | ||||||
権利情報 | The following article appeared in J. Acoust. Soc. Am. 137, 2642 (2015) and may be found at http://dx.doi.org/10.1121/1.4916371 | |||||
著者版フラグ | ||||||
値 | publisher | |||||
出版者 | ||||||
出版者 | Acoustical Society of America |