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题名: Vertical alignment of stagnation points in pseudo-plane ideal flows
作者: Sun, Che1,2
刊名: AIP ADVANCES
出版日期: 2017-09-01
卷号: 7, 期号:9
DOI: 10.1063/1.5000049
文章类型: Article
英文摘要: Recent studies of pseudo-plane ideal flow (PIF) reveal a ubiquitous presence of vortex alignment in both homogeneous and stratified fluids, and in both inertial and rotating reference frames as well. The exact solutions of a steady-state PIF model suggest that stagnation points tend to be vertically aligned and the concentric structure represents a fixed-point phenomenon of the Euler equations. Exception occurs in the rotating frame when a flow holds inertial period and skew center becomes possible. Properties of stagnation points based on Morse theory are obtained, leading to a topological explanation of vertical alignment via pressure Hessian. The study thus uncovers a new aspect of vortex behavior in ideal fluid that requires vortex center to align with the direction of gravity when vortex evolution reaches a laminar end state characterized by steady pseudo-plane velocities. Though the phenomenon arises from the constraint of the Euler equations, under specific conditions the topological theory is applicable to viscous fluid and explains the curvilinear tilting of von Karman swirling vortex. (C) 2017 Author(s).
收录类别: SCI
语种: 英语
WOS记录号: WOS:000412070600087
Citation statistics:
内容类型: 期刊论文
版本: 出版稿
URI标识: http://ir.qdio.ac.cn/handle/337002/143215
Appears in Collections:海洋环流与波动重点实验室_期刊论文

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作者单位: 1.Chinese Acad Sci, Inst Oceanol, 7 Nanhai Rd, Qingdao 266071, Peoples R China
2.Natl Lab Marine Sci & Technol, 1 Wenhai Rd, Qingdao 266037, Peoples R China

Recommended Citation:
Sun, Che. Vertical alignment of stagnation points in pseudo-plane ideal flows[J]. AIP ADVANCES,2017,7(9).
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