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Vertical alignment of stagnation points in pseudo-plane ideal flows
Sun, Che1,2
Source PublicationAIP ADVANCES
AbstractRecent 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).
Indexed BySCI
WOS IDWOS:000412070600087
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Document Type期刊论文
Affiliation1.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
First Author AffilicationInstitute of Oceanology, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Sun, Che. Vertical alignment of stagnation points in pseudo-plane ideal flows[J]. AIP ADVANCES,2017,7(9).
APA Sun, Che.(2017).Vertical alignment of stagnation points in pseudo-plane ideal flows.AIP ADVANCES,7(9).
MLA Sun, Che."Vertical alignment of stagnation points in pseudo-plane ideal flows".AIP ADVANCES 7.9(2017).
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