| Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the | |
Zhao, Lei1,2; Zhou, Wenqiang1,2; Li XL(李新亮)3,4 ; Zhang, Shaolong5; Zhang, Yongming1,2,6
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| Corresponding Author | Zhang, Yongming([email protected]) |
| Source Publication | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
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| 2024-08-01 | |
| Volume | 16Issue:4Pages:805-832 |
| ISSN | 2070-0733 |
| Abstract | Two-dimensional global (BiGlobal) stability in the region of the minor axis is investigated in the case of hypersonic elliptic cones with major -minor axis ratios of 2:1 and 3:1 at Mach number 6.0, and the BiGlobal- e N method is proposed to predict the transition location of the boundary layer. Matrix-free BiGlobal stability analysis is used to find unstable modes, including the Y-mode and the Z-mode. The growth rates in the streamwise-frequency plane for these modes are obtained. The N max all factor is proposed, which represents the maximum amplification factor that all BiGlobal unstable modes can reach. Using a comparison of the N max all factor with the transition location measured in a wind tunnel experiment for the 2:1 elliptic cone, the transition prediction criterion is determined, i.e., N tr = 8.6. In the transition position, the amplification factors of several modes reach a level close to 8.6, which implies that none of them has the absolute superiority sufficient to cause the transition itself. Finally, the BiGlobal- e N method is employed to predict the transition location in the region of the minor axis of the 3:1 elliptical cone. It is found that a larger major -minor axis ratio leads to stronger instability and an earlier transition. |
| Keyword | BiGlobal stability transition boundary layer hypersonic elliptic cone minor axis |
| DOI | 10.4208/aamm.OA-2022-0183 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:001259927800001 |
| WOS Keyword | MACH 8 FLOW ; BOUNDARY-LAYER ; SECONDARY INSTABILITY |
| WOS Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| Funding Project | National Key Research and Development Program of China[2016YFA0401200] ; National Natural Science Foundation of China[91952301] ; National Natural Science Foundation of China[11672204] ; National Natural Science Foundation of China[12072230] ; National Natural Science Foundation of China[11732011] |
| Funding Organization | National Key Research and Development Program of China ; National Natural Science Foundation of China |
| Classification | 二类 |
| Ranking | 3 |
| Contributor | Zhang, Yongming |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/95925 |
| Collection | 高温气体动力学国家重点实验室 |
| Affiliation | 1.Tianjin Univ, Lab High Speed Aerodynam, Tianjin 300072, Peoples R China; 2.Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China; 3.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; 4.Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 5.China Acad Engn Phys, Inst Fluid Phys, Mianyang 621900, Sichuan, Peoples R China; 6.Tianjin Key Lab Modern Engn Mech, Tianjin 300072, Peoples R China |
| Recommended Citation GB/T 7714 | Zhao, Lei,Zhou, Wenqiang,Li XL,et al. Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2024,16,4,:805-832.Rp_Au:Zhang, Yongming |
| APA | Zhao, Lei,Zhou, Wenqiang,李新亮,Zhang, Shaolong,&Zhang, Yongming.(2024).Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,16(4),805-832. |
| MLA | Zhao, Lei,et al."Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 16.4(2024):805-832. |
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