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Geometric structure of pseudo-plane quadratic flows
Sun, Che1,2
Source PublicationPHYSICS OF FLUIDS
AbstractQuadratic flows have the unique property of uniform strain and are commonly used in turbulence modeling and hydrodynamic analysis. While previous applications focused on two-dimensional homogeneous fluid, this study examines the geometric structure of three-dimensional quadratic flows in stratified fluid by solving a steady-state pseudo-plane flow model. The complete set of exact solutions reveals that steady quadratic flows have an invariant conic type in the non-rotating frame and a non-rotatory vertical structure in the rotating frame. Three baroclinic solutions with vertically non-aligned formulation disprove an earlier conjecture. All elliptic and hyperbolic solutions, except for the inertial ones, exhibit vertical concentricity. The rich geometry of quadratic flows stands in contrast to the depleted geometry of high-degree polynomial flows. A paradox in the steady solutions of shallow-water reduced-gravity models is also explained. Published by AIP Publishing.
Indexed BySCI
WOS IDWOS:000397874300036
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Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Chinese Acad Sci, Inst Oceanol, 7 Nanhai Rd, Qingdao 266071, Shandong, Peoples R China
2.Natl Lab Marine Sci & Technol, 1 Wenhai Rd, Qingdao 266237, Shandong, Peoples R China
First Author AffilicationInstitute of Oceanology, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Sun, Che. Geometric structure of pseudo-plane quadratic flows[J]. PHYSICS OF FLUIDS,2017,29(3).
APA Sun, Che.(2017).Geometric structure of pseudo-plane quadratic flows.PHYSICS OF FLUIDS,29(3).
MLA Sun, Che."Geometric structure of pseudo-plane quadratic flows".PHYSICS OF FLUIDS 29.3(2017).
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