globalchange  > 全球变化的国际研究计划
项目编号: 1706934
项目名称:
The dynamics of buoyant vortices
作者: Stefan Llewellyn Smith
承担单位: University of California-San Diego
批准年: 2017
开始日期: 2017-08-15
结束日期: 2020-07-31
资助金额: 315655
资助来源: US-NSF
项目类别: Standard Grant
国家: US
语种: 英语
特色学科分类: Engineering - Chemical, Bioengineering, Environmental, and Transport Systems
英文关键词: sub-project ; contour dynamics method ; density difference ; thin-core vortex filament ; vortex dynamics ; vortex sheet ; axisymmetric vortex ring ; helical vortex ; volcano vortex ring ; surface tension ; vortex filament
英文摘要: The goal of this project is to carry out a systematic study of vortical flows incorporating buoyancy effects, including the effects of gravity, density differences and surface tension. Explicit calculations of the motion of vortices in the presence of density differences and surface tension will develop understanding of fundamental fluid processes. Potential applications include a number of technological and geophysical situations, such as volcano vortex rings, cavitation, and flows around helicopter rotors and wind turbins. The project brings together researchers with complementary skills and experience in vortex dynamics and variable-density flows, and begins a new collaborative effort with scientists in Japan, Spain and Great Britain. In addition to outreach, during a series of workshops, the PI and teachers will develop a curriculum unit focusing on the calculus relevant to physical principles, illustrated by examples from the proposed work and fluid mechanics more generally.

Four sub-projects will be investigated. First, the stability of vortex filaments will be examined in the presence of density variations. The case of rings and helices will be examined, since for these geometries solutions are known for the basic state. Second, an asymptotically consistent model for the evolution of a thin-core vortex filament with density variations will be developed and implemented. A formulation based on a force balance allows buoyancy and surface tension forces to be incorporated in a natural manner. Third, contour dynamics methods for axisymmetric vortex rings with density differences will be developed. This leads to the evolution of a vortex sheet on the boundary generated by baroclinic torques. Fourth, a new approach to contour dynamics applicable to helical vortices will be introduced and implemented, giving new exact solutions to the problem. The sub-projects are independent but related: each gives insight into features of the full problem. The outcome should include advances in the understanding of vortical fluid flow, including new solutions, and in new reduced models of such flows.
资源类型: 项目
标识符: http://119.78.100.158/handle/2HF3EXSE/89405
Appears in Collections:全球变化的国际研究计划
科学计划与规划

Files in This Item:

There are no files associated with this item.


Recommended Citation:
Stefan Llewellyn Smith. The dynamics of buoyant vortices. 2017-01-01.
Service
Recommend this item
Sava as my favorate item
Show this item's statistics
Export Endnote File
Google Scholar
Similar articles in Google Scholar
[Stefan Llewellyn Smith]'s Articles
百度学术
Similar articles in Baidu Scholar
[Stefan Llewellyn Smith]'s Articles
CSDL cross search
Similar articles in CSDL Cross Search
[Stefan Llewellyn Smith]‘s Articles
Related Copyright Policies
Null
收藏/分享
所有评论 (0)
暂无评论
 

Items in IR are protected by copyright, with all rights reserved, unless otherwise indicated.