Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones using the BiGlobal-<i>e<SUP>N</SUP></i> Method

doi:10.4208/aamm.OA-2022-0183xxx2024

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	*Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones using the BiGlobal-e^N* Method**
	Zhao, Lei; Zhou, Wenqiang; Li XL(李新亮); Zhang, Shaolong; Zhang, Yongming
刊名	ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
	2024-01-05
页码	28
关键词	BiGlobal stability transition boundary layer hypersonic elliptic cone minor axis.
ISSN号	2070-0733
DOI	10.4208/aamm.OA-2022-0183xxx2024
通讯作者	Zhang, Yongming(ymzh@tju.edu.cn)
英文摘要	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 center dot all )factor is proposed, which represents the maximum amplification factor that all BiGlobal unstable modes can reach. Using a comparison of the N-max center dot 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.
分类号	二类
资助项目	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]
WOS关键词	MACH 8 FLOW ; BOUNDARY-LAYER ; SECONDARY INSTABILITY ; CROSS-FLOW
WOS研究方向	Mathematics ; Mechanics
语种	英语
WOS记录号	WOS:001141858100001
资助机构	National Key Research and Development Program of China ; National Natural Science Foundation of China
其他责任者	Zhang, Yongming
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/94100]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 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 BiGlobal-e^N Method[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2024:28.
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 BiGlobal-e^N Method.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,28.
MLA	Zhao, Lei,et al."Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones using the BiGlobal-e^N Method".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS (2024):28.