The interactions between a microbubble and ultrasound in an elastic tube are investigated to understand the bubble dynamics in a blood vessel. The tube wall is modeled with a spring-mass system. A simple bubble model for investigating bubble oscillations in the tube is introduced and is combined with the spring-mass system of the tube: the bubble is represented by a point source for the bubble volume oscillation and a dipole for the translational motion. The natural frequencies of the system are derived by linearizing the governing equations. The influences of an elastic tube on a bubble are mainly discussed by using eigenvalue analysis in the present work. It is shown that the resonance frequency of a bubble in the tube decreases with increasing the mass of the tube wall. The effects of the tube length and the initial location of a bubble are also investigated. The results show that although the resonance frequency decreases monotonically with increase in the tube length when the wall mass is large, it is not changed when the mass is sufficiently small. It is also shown that the resonance frequency is decreased with decreasing the distance between the bubble centroid and the tube wall when the mass is large. However, when the mass is small enough, it is increased with decreasing the distance. We also investigate the influence of the characteristics of an elastic tube on nonlinear oscillations of a bubble. The condition that the harmonic oscillation is enhanced is discussed.
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ASME/JSME/KSME 2015 Joint Fluids Engineering Conference
July 26–31, 2015
Seoul, South Korea
Conference Sponsors:
- Fluids Engineering Division
ISBN:
978-0-7918-5733-5
PROCEEDINGS PAPER
Boundary Element Analysis of Bubble Oscillations in Elastic Tubes Available to Purchase
Tatsuya Kitahara,
Tatsuya Kitahara
Osaka Prefecture University, Sakai, Japan
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Nariki Makihara,
Nariki Makihara
Osaka Prefecture University, Sakai, Japan
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Toshiyuki Ogasawara,
Toshiyuki Ogasawara
Osaka Prefecture University, Sakai, Japan
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Hiroyuki Takahira
Hiroyuki Takahira
Osaka Prefecture University, Sakai, Japan
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Tatsuya Kitahara
Osaka Prefecture University, Sakai, Japan
Nariki Makihara
Osaka Prefecture University, Sakai, Japan
Toshiyuki Ogasawara
Osaka Prefecture University, Sakai, Japan
Hiroyuki Takahira
Osaka Prefecture University, Sakai, Japan
Paper No:
AJKFluids2015-05256, V02AT05A005; 6 pages
Published Online:
April 4, 2016
Citation
Kitahara, T, Makihara, N, Ogasawara, T, & Takahira, H. "Boundary Element Analysis of Bubble Oscillations in Elastic Tubes." Proceedings of the ASME/JSME/KSME 2015 Joint Fluids Engineering Conference. Volume 2A: Fora, Part 2. Seoul, South Korea. July 26–31, 2015. V02AT05A005. ASME. https://doi.org/10.1115/AJKFluids2015-05256
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