Bi-Global instability of streamwise vortices near minor-axis of hypersonic elliptic cone

LI Xiaohu; ZHANG Shaolong; LIU Jiangxin; HUANG Zhangfeng; LUO Jisheng; ZHANG Yongming

doi:10.7638/kqdlxxb-2018.0026

ACTA AERODYNAMICA SINICA > 2018 > 36(2): 265-272. > DOI: 10.7638/kqdlxxb-2018.0026

LI Xiaohu, ZHANG Shaolong, LIU Jiangxin, HUANG Zhangfeng, LUO Jisheng, ZHANG Yongming. Bi-Global instability of streamwise vortices near minor-axis of hypersonic elliptic cone[J]. ACTA AERODYNAMICA SINICA, 2018, 36(2): 265-272. DOI: 10.7638/kqdlxxb-2018.0026

Citation:

PDF (8307 KB)

Bi-Global instability of streamwise vortices near minor-axis of hypersonic elliptic cone

1.
Department of Mechanics, Tianjin University, Tianjin 300072, China
2.
Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China
3.
Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin 300072, China

More Information

Received Date: January 12, 2018
Revised Date: March 09, 2018
Available Online: January 07, 2021

Graphical Abstract

Abstract

Abstract

In wind tunnel experiment, transition location near minor-axis of hypersonic elliptic cone is quite different from that on each side. This is due to the streamwise vortices near minor-axis, which lead to significant difference of basic flow from that on each side. Consequently, instability near minor-axis has essential difference from that on each side, resulting in different transition locations. In this paper, Bi-Global instability analysis is carried out to investigate the instability near minor-axis. Arnoldi method is employed, and the numerical results are validated by comparing with those calculated through other methods. Unstable outer modes are found, and the variation of their growth is studied against frequency, wavenumber, and streamwise location. The physical mechanism of unstable modes is found that they are caused by inviscid inflection instability of shearing basic flow. Unstable inner mode does not exist, because there is no Fjortoft inflection point corresponding to inner mode characteristic.
- hypersonic elliptic cone,
- Bi-Global instability,
- outer mode,
- inner mode

FullText(HTML)

References (17)

References

[1]	Wheaton M B, Juliano J T, Berridge C D, et al. Instability and transition measurements in the Mach-6 Quiet Tunnel[R]. AIAA 2009-3559.
[2]	Juliano J Thomas. Instability and transition on the HIFiRE-5 in a Mach-6 quiet tunnel[D]. Purdue University. Indiana, US, 2010.
[3]	Schmisseur J, Schneider S, Collicott S. Receptivity of the Mach-4 boundary-layer on an elliptic cone to laser-generated localized free stream perturbations[R]. AIAA-98-0532, 1998.
[4]	Schmisseur J, Schneider S, Collicott S. Response of the Mach-4 boundary layer on an elliptic cone to laser-generated free stream perturbations[R]. AIAA-99-0410, 1999.
[5]	Poggie J, Kimmel R. Traveling instabilities in elliptic cone boundary-layer transition at Ma=8[R]. AIAA-98-0435, 1998.
[6]	Huntley M, Smits A. Transition studies on an elliptic cone in Mach 8 flow using filtered Rayleigh scattering[J]. European Journal of Mechanics B-Fluids, 2000, 19(5):695-706. doi: 10.1016/S0997-7546(00)00130-8
[7]	Lyttle I, Reed H. Use of transition correlations for three-dimensional boundary layers within hypersonic flows[R]. AIAA-95-2293, 1995.
[8]	Kimmel R, Klein M, Schwoerke S. Three-dimensional hypersonic laminar boundary-layer computations for transition experiment design[J]. Spacecraft Rockets, 1997, 34(4):409-415. doi: 10.2514/2.3236
[9]	Gosse R, Kimmel R. CFD study of three-dimensional hypersonic laminar boundary layer transition on a Mach 8 ellipticcone[R]. AIAA 2009-4053, 2009.
[10]	Poggie J, Kimmel R, Schwoerke S. Traveling instability waves in a Mach 8 ow over an elliptic cone[J]. AIAA J, 2000, 38(2):251-258. doi: 10.2514/2.979
[11]	Choudhari M, Chang C, Jentink T, et al. Transition analysis for the HIFiRE-5 vehicle[R]. AIAA 2009-4056, 2009.
[12]	Paredes P, Theofilis V. Spatial linear global instability analysis of the HIFiRE-5 elliptic cone model flow[R]. AIAA 2013-2880.
[13]	Paredes P, Theofilis V. Traveling global instabilities on the HIFiRE-5 elliptic cone model flow[R]. AIAA 2014-0075, 2014.
[14]	Zhang Y M, Luo J S. Application of Arnoldi method to boundary layer instability[J]. Chinese Physics B, 2015, 24(12):124701. doi: 10.1088/1674-1056/24/12/124701
[15]	张绍龙. 高超声速2: 1椭圆锥边界层的稳定性特征及扰动演化[D]. 天津大学, 2016. Zhang S L. The instability and wave propagation in the hypersonic 2: 1 elliptic cone boundary layer[D]. Tianjin University, 2016. (in Chinese)
[16]	Li F, Choudhari M M, Duan L, et al. Nonlinear development and secondary instability of traveling crossflow vortices[J]. Phys Fluids, 2014, 26:064104. doi: 10.1063/1.4883256
[17]	Zhang Yongming, Zaki Tamer, Sherwin Spencer, et al. Nonlinear response of a laminar boundary layer to isotropic and spanwise localized free-stream turbulence. AIAA 2011-32[R]. Reston: AIAA, 2011.

Cited By

Cited by

Periodical cited type(9)

1.	郑文鹏，陆小革，易仕和. 攻角影响下的椭锥中心线边界层转捩实验研究. 力学学报. 2025(02): 413-423 .
2.	张彬，李晓虎，涂国华，陈坚强. 高速升力体非对称流向涡不稳定性研究. 空气动力学学报. 2025(02): 75-85 . 本站查看
3.	张彬，李晓虎，涂国华，黄文锋，陈坚强. 壁温对HyTRV流向涡失稳特性的影响. 气体物理. 2025(03): 37-49 .
4.	陈曦，涂国华，万兵兵，袁先旭，陈坚强，陈久芬. 基于全局稳定性理论的e~N方法对高超声速有迎角锥背风流向涡转捩分析. 空气动力学学报. 2024(01): 33-44 . 本站查看
5.	张成键，吕岱霖，朱畅，陈坚强，吴杰. HyTRV升力体高超声速边界层稳定性实验. 航空学报. 2024(22): 117-130 .
6.	刘美宽，韩桂来，姜宗林. 高超声速平板边界层数值模拟及试验研究. 气动研究与试验. 2023(05): 51-61 .
7.	黄章峰，张宇琦. 高超声速三维边界层转捩数值研究进展及预测软件. 空气动力学学报. 2023(11): 1-19 . 本站查看
8.	陈坚强，涂国华，万兵兵，袁先旭，杨强，庄宇，向星皓. HyTRV流场特征与边界层稳定性特征分析. 航空学报. 2021(06): 264-279 .
9.	陈曦，陈坚强，董思卫，徐国亮，袁先旭. 高超声速6°迎角圆锥边界层背风流向涡稳定性分析(英文). 空气动力学学报. 2020(02): 299-307 . 本站查看

Other cited types(4)

Get Citation

PDF

XML

Article views (239) PDF downloads (326) Cited by(13)

Turn off MathJax

Article Contents

Abstract

References

Bi-Global instability of streamwise vortices near minor-axis of hypersonic elliptic cone

Abstract

References

Cited by

Periodical cited type(9)

Other cited types(4)

Catalog

Export File

Citation

Format

Content