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A kind of analytical solution for the Rayleigh-Plesset equation in N -dimensions

  • Zhen Wang*
  • , Yupeng Qin
  • , Li Zou
  • *此作品的通讯作者
  • Dalian University of Technology
  • Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

In this work, we consider the Rayleigh-Plesset (RP) equation for describing spherical gas-filled bubbles dynamics in N-dimensions. A new approach to construct analytical solution for the RP equation is proposed using trigonometric function. As its application, we study the adiabatic compressions by monatomic gas and diatomic gas. At last, we show that both bubble radius and period decrease with the increasing of the pressure ratio.

源语言英语
主期刊名International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
编辑Charalambos Tsitouras, Theodore Simos, Theodore Simos, Theodore Simos, Theodore Simos, Theodore Simos
出版商American Institute of Physics Inc.
ISBN(电子版)9780735416901
DOI
出版状态已出版 - 10 7月 2018
已对外发布
活动International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017 - Thessaloniki, 希腊
期限: 25 9月 201730 9月 2017

出版系列

姓名AIP Conference Proceedings
1978
ISSN(印刷版)0094-243X
ISSN(电子版)1551-7616

会议

会议International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
国家/地区希腊
Thessaloniki
时期25/09/1730/09/17

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