Nonlinear phenomena in Rayleigh-Plesset equations for single bubble dynamics

Shohei Shikada*, Hiroaki Yoshimura

*この研究の対応する著者

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

In this paper, we study nonlinear dynamics of a small air bubble in water under forced oscillating pressure at a constant temperature. First, we briefly describe the mathematical model of Rayleigh-Plesset equations and then we consider the bifurcation phenomena appeared in bubble dynamics. We investigate how a small bubble may grow and collapse; namely, it is shown how it may cause chaotic phenomena by repeating period-doubling bifurcations as an amplitude of input pressure increases. Furthermore, we also examine their transitions to chaotic states associated to different frequencies. Finally, we show that there exists some stable state for the small bubble under forcing the pressure with very high frequencies.

本文言語English
ホスト出版物のタイトルRecent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI
ページ552-554
ページ数3
DOI
出版ステータスPublished - 2011 11月 8
イベントProceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI - Guangzhou, China
継続期間: 2011 6月 302011 7月 3

出版物シリーズ

名前AIP Conference Proceedings
1376
ISSN(印刷版)0094-243X
ISSN(電子版)1551-7616

Conference

ConferenceProceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI
国/地域China
CityGuangzhou
Period11/6/3011/7/3

ASJC Scopus subject areas

  • 生態、進化、行動および分類学
  • 生態学
  • 植物科学
  • 物理学および天文学(全般)
  • 自然保全および景観保全

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