Abstract
Linear wave propagation through a bubbly liquid has seen a resurgence of interest because of proposed "corrections" to the lowest-order approximation of an effective wave number obtained from Foldy's exact multiple scattering theory [Foldy, Phys. Rev. 67, 107 (1945)]. An alternative approach to wave propagation through a bubbly liquid reduces the governing equations for a two-phase medium to an effective medium. Based on this approach, Commander and Prosperetti [J. Acoust. Soc. Am. 85, 732 (1989)] derive an expression for the lowest-order approximation to an effective wave number. At this level of approximation the bubbles interact with only the mean acoustic field without higher-order rescattering. That is, the field scattered from a bubble may interact with one or more new bubbles in the distribution, but a portion of that scattered field may not be scattered back to any previous bubble. The current article shows that modifications to the results of Commander and Prosperetti lead to a new expression for the effective wave number, which properly accounts for all higher orders of multiple scattering.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
