The Proceedings of the Fluids engineering conference
Online ISSN : 2424-2896
2010
Session ID : 0407
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0407 Nonlinear Waves in Liquid Containing Microbubbles Encapsulated by Visco-Elastic Shell
Tetsuya KANAGAWAMasao WATANABETakeru YANOShigeo FUJIKAWA
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Abstract
Nonlinear propagation of pressure waves in an initially quiescent liquid containing non-uniformly distributed spherical microbubbles is theoretically studied on the basis of the method of multiple scales. We focus on almost unidirectional waves propagating mainly in one direction with a weak diffraction or weak focusing to the transverse direction (like a ultrasound beam). Based on a methodology recently proposed by the authors, the KZK type equation, in which the dispersion and the non-uniformity of number density of bubbles are considered, is derived from the basic equations of bubbly flows.
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© 2010 The Japan Society of Mechanical Engineers
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