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Receptivity and stability of hypersonic leading-edge sweep flows around a blunt body

Published online by Cambridge University Press:  06 April 2021

Youcheng Xi Open the ORCID record for Youcheng Xi [Opens in a new window] ,
Jie Ren Open the ORCID record for Jie Ren [Opens in a new window] ,
Liang Wang  and
Song Fu Open the ORCID record for Song Fu [Opens in a new window]
Youcheng Xi
Affiliation:
School of Aerospace Engineering, Tsinghua University, Beijing100084, PR China
Jie Ren
Affiliation:
Department of Mechanical Engineering, Faculty of Engineering, University of Nottingham, NottinghamNG7 2RD, UK
Liang Wang
Affiliation:
School of Aerospace Engineering, Tsinghua University, Beijing100084, PR China
Song Fu*
Affiliation:
School of Aerospace Engineering, Tsinghua University, Beijing100084, PR China
*
†Email address for correspondence: fs-dem@tsinghua.edu.cn
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Abstract

This study performs global stability/receptivity analyses of hypersonic flows over a swept blunt body with infinite span. For the first time, we obtain the characteristics of the leading attachment-line mode to the variation of sweep angles from $20^{\circ }$ to $70^{\circ }$. The global eigenfunctions exhibit the characteristics of the attachment-line instability at the leading edge. At the same time, cross-flow (at small sweep angles) or second Mack mode (at larger sweep angles) dominates further downstream. We establish an adjoint-based bi-orthogonal eigenfunction system to address the receptivity problem of such flows to any external forces and boundary perturbations. The receptivity analyses indicate that the global modes are the most responsive to external forces and surface perturbations applied in the vicinity of the attachment line, regardless of the sweep angles. It is also proven that the present global extension of the bi-orthogonal eigenfunction system can be successfully applied to complex hypersonic flows.

JFM classification

Boundary Layers: Boundary layer receptivity Boundary Layers: Boundary layer stability Compressible Flows: Compressible boundary layers
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 916 , 10 June 2021 , R2
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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