Experimental and numerical study of flow structures of the second-mode instability

doi:10.1007/s10483-019-2430-9

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (2): 273-282.doi: https://doi.org/10.1007/s10483-019-2430-9

Experimental and numerical study of flow structures of the second-mode instability

Yiding ZHU^1,2

1. State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing 100871, China;
2. Department of Aeronautics and Astronautics, College of Engineering, Peking University, Beijing 100871, China

收稿日期:2018-09-05 修回日期:2018-10-26 出版日期:2019-02-01 发布日期:2019-02-01
通讯作者: Yiding ZHU E-mail:zhuyiding@pku.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11602005, 10921202, and 11632002)

Experimental and numerical study of flow structures of the second-mode instability

Yiding ZHU^1,2

1. State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing 100871, China;
2. Department of Aeronautics and Astronautics, College of Engineering, Peking University, Beijing 100871, China

Received:2018-09-05 Revised:2018-10-26 Online:2019-02-01 Published:2019-02-01
Contact: Yiding ZHU E-mail:zhuyiding@pku.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11602005, 10921202, and 11632002)

摘要/Abstract

摘要： Flow structures of a Mach 6 transitional boundary layer over a 260 mm long flared cone are investigated by the particle image velocimetry (PIV). Particle images near the curved wall are initially transformed into surface-fitted orthogonal coordinates and spliced with their 180°-symmetric images to satisfy a no-slip condition at the wall. The results are then reversely transformed to the physical domain. Direct numerical simulation (DNS) is also performed to validate the experimental results. The experimental and numerical results are in agreement, indicating a strong dilatation process within the second-mode instability.

关键词: structural analysis, substructural solution, parallel algorithm, hypersonic transition, particle image velocimetry (PIV), direct numerical simulation (DNS)

Abstract: Flow structures of a Mach 6 transitional boundary layer over a 260 mm long flared cone are investigated by the particle image velocimetry (PIV). Particle images near the curved wall are initially transformed into surface-fitted orthogonal coordinates and spliced with their 180°-symmetric images to satisfy a no-slip condition at the wall. The results are then reversely transformed to the physical domain. Direct numerical simulation (DNS) is also performed to validate the experimental results. The experimental and numerical results are in agreement, indicating a strong dilatation process within the second-mode instability.

Key words: structural analysis, substructural solution, parallel algorithm, hypersonic transition, particle image velocimetry (PIV), direct numerical simulation (DNS)

中图分类号:

76K05

Yiding ZHU. Experimental and numerical study of flow structures of the second-mode instability[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(2): 273-282.

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Experimental and numerical study of flow structures of the second-mode instability

Experimental and numerical study of flow structures of the second-mode instability

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