A study of streamline geometries in subsonic and supersonic regions of compressible flow fields

doi:10.1017/jfm.2024.394

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	A study of streamline geometries in subsonic and supersonic regions of compressible flow fields
	Tian ZW(田中伟); Cui K(崔凯)
通讯作者	Tian, Zhong Wei([email protected])
发表期刊	JOURNAL OF FLUID MECHANICS
	2024-05-20
卷号	987 页码:56
ISSN	0022-1120
摘要	The geometrical properties of streamlines, such as the curvatures, directions and positions, are studied in steady inviscid compressible flow fields via differential geometry theories and conservation laws. The influences of the streamline geometries on the flow speeds and pressures are also identified and discussed. By transforming the streamlines to fill the domain and satisfy the boundary conditions, a unified geometry-based solver, the streamline transformation method, is proposed for both subsonic and supersonic regions. The governing equations and boundary conditions along streamlines and shock waves are also derived. This method is verified by numerical results of three typical flow fields, including the subsonic channel flow, the supersonic downstream of attached shock waves and especially the subsonic/supersonic downstream of detached bow shock waves. Both two-dimensional planar and axisymmetric flow fields are considered. Compared with the results from computational fluid dynamics, good agreements are achieved by this method, while fewer computational resources, by an order of magnitude, are consumed. Features of these flow fields are also analysed from a geometrical perspective, such as flow speeds and pressures deviated by the wall curvatures, and three-dimensional effects in the after-shock flow fields. For a hyperbolic-shaped bow shock wave, the stand-off distances and the transitions from subsonic to supersonic regions are also discussed. As indicated by the accuracy, efficiency and applicability in a wide range of flow speeds, the streamline transformation method would be a potential candidate for the theoretical analysis and inverse design of high-speed flow fields, especially where the subsonic regions exist downstream of strong shock waves.
关键词	high-speed flow shock waves computational methods
DOI	10.1017/jfm.2024.394
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:001226979900001
关键词[WOS]	SHOCK-WAVE ; MACH REFLECTION ; DYNAMICS ; PROPAGATION ; TRANSITION ; SHAPE
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
论文分区	一类/力学重要期刊
力学所作者排名	1
RpAuthor	Tian, Zhong Wei
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/95424
专题	宽域飞行工程科学与应用中心高温气体动力学国家重点实验室
作者单位	Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Tian ZW,Cui K. A study of streamline geometries in subsonic and supersonic regions of compressible flow fields[J]. JOURNAL OF FLUID MECHANICS,2024,987:56.Rp_Au:Tian, Zhong Wei
APA	田中伟,&崔凯.(2024).A study of streamline geometries in subsonic and supersonic regions of compressible flow fields.JOURNAL OF FLUID MECHANICS,987,56.
MLA	田中伟,et al."A study of streamline geometries in subsonic and supersonic regions of compressible flow fields".JOURNAL OF FLUID MECHANICS 987(2024):56.