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Instability evolution in the hypersonic boundary layer over a wavy wall

Published online by Cambridge University Press:  06 June 2022

W.K. Zhu Open the ORCID record for W.K. Zhu [Opens in a new window] ,
D.W. Gu ,
W.F. Si ,
M.J. Zhang ,
S.Y. Chen ,
C.R. Smith ,
Y.D. Zhu  and
C.B. Lee Open the ORCID record for C.B. Lee [Opens in a new window]
W.K. Zhu
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, Collaborative Innovation Center for Advanced Aero-Engines, Peking University, Beijing 100871, PR China
D.W. Gu
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, Collaborative Innovation Center for Advanced Aero-Engines, Peking University, Beijing 100871, PR China
W.F. Si
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, Collaborative Innovation Center for Advanced Aero-Engines, Peking University, Beijing 100871, PR China
M.J. Zhang
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, Collaborative Innovation Center for Advanced Aero-Engines, Peking University, Beijing 100871, PR China
S.Y. Chen
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, Collaborative Innovation Center for Advanced Aero-Engines, Peking University, Beijing 100871, PR China
C.R. Smith
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, 19 Memorial Drive West, Bethlehem, PA 18015, USA
Y.D. Zhu*
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, Collaborative Innovation Center for Advanced Aero-Engines, Peking University, Beijing 100871, PR China
C.B. Lee*
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, Collaborative Innovation Center for Advanced Aero-Engines, Peking University, Beijing 100871, PR China
*
†Email addresses for correspondence: zhuyiding@pku.edu.cn, cblee@mech.pku.edu.cn
†Email addresses for correspondence: zhuyiding@pku.edu.cn, cblee@mech.pku.edu.cn
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Abstract

The effects of a wavy wall on the stability of a hypersonic boundary layer on a flared cone are investigated by detailed experimental measurements and direct numerical simulations. The non-contact optical measurement method of focused laser differential interferometry is used to measure the disturbance development within the wavy region. The measurement results show that the second mode for the wavy wall is suppressed significantly compared with the smooth wall, and that multiple disturbances at low frequencies appear within the wavy region. Numerical corroboration against experimental measurements reveals good quantitative agreement. It is found that the disturbances at $f=360$ kHz on the wavy wall are suppressed appreciably, which are very significant on the smooth wall. And the disturbances at $f=140$ kHz and $f=260$ kHz develop within the wavy region, and increase considerably. Also, the disturbances achieve a significant increase over the first half of a wavy trough and become more stable over the second half of a wavy trough. The physical mechanism is found to be due to the change in wall geometry and is attributed to the spatially modulated mean flow. The disturbance growth rate is closely related to the level of the mean-flow distortion.

JFM classification

Boundary Layers: Boundary layer stability Aerodynamics: High-speed flow Compressible Flows: Compressible boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 943 , 25 July 2022 , A16
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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