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Reattachment streaks in hypersonic compression ramp flow: an input–output analysis

Published online by Cambridge University Press:  07 October 2019

Anubhav Dwivedi ,
G. S. Sidharth Open the ORCID record for G. S. Sidharth [Opens in a new window] ,
Joseph W. Nichols ,
Graham V. Candler  and
Mihailo R. Jovanović Open the ORCID record for Mihailo R. Jovanović [Opens in a new window]
Anubhav Dwivedi*
Affiliation:
Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA
G. S. Sidharth
Affiliation:
Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA
Joseph W. Nichols
Affiliation:
Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA
Graham V. Candler
Affiliation:
Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA
Mihailo R. Jovanović
Affiliation:
Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA 90089, USA
*
†Email address for correspondence: dwive016@umn.edu
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Abstract

We employ global input–output analysis to quantify amplification of exogenous disturbances in compressible boundary layer flows. Using the spatial structure of the dominant response to time-periodic inputs, we explain the origin of steady reattachment streaks in a hypersonic flow over a compression ramp. Our analysis of the laminar shock–boundary layer interaction reveals that the streaks arise from a preferential amplification of upstream counter-rotating vortical perturbations with a specific spanwise wavelength. These streaks are associated with heat-flux striations at the wall near flow reattachment and they can trigger transition to turbulence. The streak wavelength predicted by our analysis compares favourably with observations from two different hypersonic compression ramp experiments. Furthermore, our analysis of inviscid transport equations demonstrates that base-flow deceleration contributes to the amplification of streamwise velocity and that the baroclinic effects are responsible for the production of streamwise vorticity. Finally, the appearance of the temperature streaks near reattachment is triggered by the growth of streamwise velocity and streamwise vorticity perturbations as well as by the amplification of upstream temperature perturbations by the reattachment shock.

JFM classification

Compressible Flows: Compressible boundary layers Instability: Transition to turbulence Aerodynamics: High-speed flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 880 , 10 December 2019 , pp. 113 - 135
Copyright
© 2019 Cambridge University Press 

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Footnotes

‡

Present address: X-Computational Physics Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

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