Nonlinear Wave Equation for Ultrasound Beam in Nonuniform Bubbly Liquids

Nonlinear Wave Equation for Ultrasound Beam in Nonuniform Bubbly Liquids

In our previous paper (Kanagawa et al., J. Fluid Sci. Tech., 5, 2010), we have proposed a systematic method for derivation of various types of nonlinear wave equations for plane waves in bubbly liquids. The method makes use of an asymptotic expansion with multiple scales in terms of a small wave amp...

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Bibliographic Details
Main Authors: Tetsuya KANAGAWA, Takeru YANO, Masao WATANABE, Shigeo FUJIKAWA
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2011-04-01
Series:Journal of Fluid Science and Technology
Subjects:
bubbly liquid
pressure wave
ultrasound
beam
diffraction
nonuniformity
nonlinear wave equation
kzk equation
kp equation
multiple scales
Online Access:https://www.jstage.jst.go.jp/article/jfst/6/2/6_2_279/_pdf/-char/en

Internet

https://www.jstage.jst.go.jp/article/jfst/6/2/6_2_279/_pdf/-char/en

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