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Spanwise unsteadiness in the sidewall-confined shock-wave/boundary-layer interaction

Published online by Cambridge University Press:  21 May 2024

Xu Liu
School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
Liang Chen
College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China
Yue Zhang
College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China
Huijun Tan
College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China
Yingzheng Liu
School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
Di Peng*
School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
Email address for correspondence:


Three-dimensional effects of sidewalls on the low-frequency unsteadiness of the shock-wave/boundary-layer interaction (SBLI) are of academic and practical importance but not yet well understood. Considerable attention has been paid to the viscous effect of sidewalls, whereas the potential inviscid confinement effect of sidewalls has received little attention. The present work provides experimental evidence of multiscale spanwise travelling waves crossing the separation front under the confinement of sidewalls. Global pressure measurements were made for a sidewall-confined 24$^\circ$ compression ramp interaction in Mach-2.83 flow using fast-responding pressure-sensitive paint. The unsteady pressure in a statistically two-dimensional intermittent region suggests that in addition to the canonical streamwise oscillation, the separation front exhibits significant low-frequency, multiscale spanwise distortion. Modal analysis further reveals that multiscale spanwise unsteadiness has higher intensity and frequency than the streamwise oscillation. Such strong spanwise unsteadiness calls attention to the low-frequency unsteadiness in previous sidewall-confined SBLI experiments and encourages further study on the mechanism of the confinement effect.

JFM Rapids
© The Author(s), 2024. Published by Cambridge University Press

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Bisek, N.J. 2015 Sidewall interaction of a supersonic flow over a compression ramp. AIAA Paper 2015-1976.CrossRefGoogle Scholar
Bruce, P.J.K., Burton, D.M.F., Titchener, N.A. & Babinsky, H. 2011 Corner effect and separation in transonic channel flows. J. Fluid Mech. 679, 247262.CrossRefGoogle Scholar
Clemens, N.T. & Narayanaswamy, V. 2014 Low-frequency unsteadiness of shock wave/turbulent boundary layer interactions. Annu. Rev. Fluid Mech. 46 (1), 469492.CrossRefGoogle Scholar
Deshpande, A.S. & Poggie, J. 2021 Large-scale unsteadiness in a compression ramp flow confined by sidewalls. Phys. Rev. Fluids 6 (2), 024610.CrossRefGoogle Scholar
Funderburk, M. & Narayanaswamy, V. 2016 Experimental investigation of primary and corner shock boundary layer interactions at mild back pressure ratios. Phys. Fluids 28 (8), 086102.CrossRefGoogle Scholar
Funderburk, M.L. & Narayanaswamy, V. 2019 Spectral signal quality of fast pressure sensitive paint measurements in turbulent shock-wave/boundary layer interactions. Exp. Fluids 60 (10), 154.CrossRefGoogle Scholar
Ganapathisubramani, B., Clemens, N.T. & Dolling, D.S. 2007 Effects of upstream boundary layer on the unsteadiness of shock-induced separation. J. Fluid Mech. 585, 369394.CrossRefGoogle Scholar
Grilli, M., Hickel, S. & Adams, N.A. 2013 Large-eddy simulation of a supersonic turbulent boundary layer over a compression–expansion ramp. Intl J. Heat Fluid Flow 42, 7993.CrossRefGoogle Scholar
Hao, J. 2023 On the low-frequency unsteadiness in shock wave–turbulent boundary layer interactions. J. Fluid Mech. 971, A28.CrossRefGoogle Scholar
Humble, R.A., Elsinga, G.E., Scarano, F. & van Oudheusden, B.W. 2009 Stimulated detached eddy simulation of three-dimensional shock/boundary layer interaction. J. Fluid Mech. 622, 3362.CrossRefGoogle Scholar
Jenquin, C., Johnson, E.C. & Narayanaswamy, V. 2023 Investigations of shock–boundary layer interaction dynamics using high-bandwidth pressure field imaging. J. Fluid Mech. 961, A5.CrossRefGoogle Scholar
Liu, X., Qin, C., Tang, Y., Zhao, K., Wang, P., Liu, Y., He, C. & Peng, D. 2022 a Resolving dynamic features of kilohertz pressure fluctuations using fast-responding pressure-sensitive paint: measurement of inclined jet impingement. Exp. Fluids 63 (4), 72.CrossRefGoogle Scholar
Liu, X., Zhang, L., Ji, Y., He, M., Liu, Y. & Peng, D. 2022 b Fast PSP measurement of three-dimensional low-frequency unsteadiness in sidewall-confined shock wave/turbulent boundary layer interaction. Exp. Therm. Fluid Sci. 134, 110599.CrossRefGoogle Scholar
Lusher, D.J. & Sandham, N.D. 2020 The effect of flow confinement on laminar shock-wave/boundary-layer interactions. J. Fluid Mech. 897, A18.CrossRefGoogle Scholar
Pasquariello, V., Hickel, S. & Adams, N.A. 2017 Unsteady effects of strong shock-wave/boundary-layer interaction at high Reynolds number. J. Fluid Mech. 823, 617657.CrossRefGoogle Scholar
Peng, D., Gu, F., Li, Y. & Liu, Y. 2018 A novel sprayable fast-responding pressure-sensitive paint based on mesoporous silicone dioxide particles. Sens. Actuators A Phys. 279, 390398.CrossRefGoogle Scholar
Peng, D. & Liu, Y.Z. 2020 Fast pressure-sensitive paint for understanding complex flows: from regular to harsh environments. Exp. Fluids 61 (1), 8.CrossRefGoogle Scholar
Piponniau, S., Dussauge, J.P., Debiève, J.F. & Dupont, P. 2009 A simple model for low-frequency unsteadiness in shock-induced separation. J. Fluid Mech. 629, 87108.CrossRefGoogle Scholar
Plotkin, K.J. 1975 Shock wave oscillation driven by turbulent boundary-layer fluctuations. AIAA J. 13 (8), 10361040.CrossRefGoogle Scholar
Poggie, J., Bisek, N.J., Kimmel, R.L. & Stanfield, S.A. 2015 Spectral characteristics of separation shock unsteadiness. AIAA J. 53 (1), 200214.CrossRefGoogle Scholar
Poggie, J. & Porter, K.M. 2019 Flow structure and unsteadiness in a highly confined shock-wave–boundary-layer interaction. Phys. Rev. Fluids 4 (2), 024602.CrossRefGoogle Scholar
Priebe, S. & Martín, M.P. 2012 Low-frequency unsteadiness in shock wave–turbulent boundary layer interaction. J. Fluid Mech. 699, 149.CrossRefGoogle Scholar
Priebe, S., Tu, J.H., Rowley, C.W. & Martín, M.P. 2016 Low-frequency dynamics in a shock-induced separated flow. J. Fluid Mech. 807, 441477.CrossRefGoogle Scholar
Rabey, P.K., Jammy, S.P., Bruce, P.J.K. & Sandham, N.D. 2019 Two-dimensional unsteadiness map of oblique shock wave/boundary layer interaction with sidewalls. J. Fluid Mech. 871, R4.CrossRefGoogle Scholar
Running, C.L. & Juliano, T.J. 2021 Global measurements of hypersonic shock-wave/boundary-layer interactions with pressure-sensitive paint. Exp. Fluids 62 (5), 91.CrossRefGoogle Scholar
Sabnis, K., Galbraith, D.S., Babinsky, H. & Benek, J.A. 2022 Nozzle geometry effects on supersonic wind tunnel studies of shock–boundary-layer interactions. Exp. Fluids 63 (12), 191.CrossRefGoogle Scholar
Settles, G.S., Fitzpatrick, T.J. & Bogdonoff, S.M. 1979 Detailed study of attached and separated compression corner flowfields in high Reynolds number supersonic flow. AIAA J. 17 (6), 579585.CrossRefGoogle Scholar
Taira, K., Brunton, S.L., Dawson, S.T.M., Rowley, C.W., Colonius, T., McKeon, B.J., Schmidt, O.T., Gordeyev, S., Theofilis, V. & Ukeiley, L.S. 2017 Modal analysis of fluid flows: an overview. AIAA J. 55 (12), 40134041.CrossRefGoogle Scholar
Touber, E. & Sandham, N.D. 2011 Low-order stochastic modelling of low-frequency motions in reflected shock-wave/boundary-layer interactions. J. Fluid Mech. 671, 417465.CrossRefGoogle Scholar
Towne, A., Schmidt, O.T. & Colonius, T. 2018 Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis. J. Fluid Mech. 847, 821867.CrossRefGoogle Scholar
Wang, B., Sandham Neil, D., Hu, Z. & Liu, W. 2015 Numerical study of oblique shock-wave/ boundary-layer interaction considering sidewall effects. J. Fluid Mech. 767, 526561.CrossRefGoogle Scholar
Xiang, X. & Babinsky, H. 2019 Corner effects for oblique shock wave/turbulent boundary layer interactions in rectangular channels. J. Fluid Mech. 862, 10601083.CrossRefGoogle Scholar
Zhuang, Y. 2019 Multiple observation scales based fundamental investigations on the shock wave/turbulent boundary-layer interaction. PhD thesis, Nanjing University of Aeronautics and Astronautics.Google Scholar
Zhuang, Y., Tan, H., Liu, Y., Zhang, Y. & Ling, Y. 2017 High resolution visualization of Görtler-like vortices in supersonic compression ramp flow. J. Vis. 20 (3), 505508.CrossRefGoogle Scholar
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