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A study on the RR-to-MR transition of shock wave reflections near the leading edge in hypersonic flows

Published online by Cambridge University Press:  01 June 2021

Longsheng Xue
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu210016, PR China Key Laboratory of Unsteady Aerodynamics and Flow Control, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu210016, PR China
Chengpeng Wang*
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu210016, PR China Key Laboratory of Unsteady Aerodynamics and Flow Control, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu210016, PR China
Keming Cheng
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu210016, PR China Key Laboratory of Unsteady Aerodynamics and Flow Control, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics, Yudao Street 29, Nanjing, Jiangsu210016, PR China
*
Email address for correspondence: [email protected]

Abstract

In this paper, the incident shock–separation shock interactions on a surface plate near the leading edge are studied theoretically and experimentally, and the transition from regular reflection (RR) to Mach reflection (MR) is the main focus. The theoretical method employs free interaction theory (FIT) and the minimum entropy production (MEP) principle to analyse the separation shock strength of flow separated from the boundary layer and separated from the leading edge, respectively, the criterion based on the MEP principle is employed to predict the RR-to-MR transition near the leading edge. The experiments were performed on a rotatable wedge situated over a sharp leading-edge plate such that the wedge could continuously change the flow deflection angle from $0^{\circ }$ to $40^{\circ }$ by means of a high-precision control device. Fast-response transducers and a high-speed camera were used to measure dynamic pressures and to take schlieren images, respectively. The influences of wedge positions, Reynolds numbers and Mach numbers on shock reflections are investigated by careful tests. The theoretical and experimental results for Mach numbers 5, 6, 7 and 8 show good agreement, indicating that the theoretical method is applicable.

Type
JFM Papers
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Babinsky, H. & Harvey, J.K. 2011 Shock Wave-Boundary-Layer Interactions. Cambridge University Press.CrossRefGoogle Scholar
Chapman, D.R., Kuehn, D.M. & Larson, H.K. 1958 Investigation of separated flows in supersonic and subsonic streams with emphasis on the effect of transition. Tech. Rep. 1356. NACA.Google Scholar
Chpoun, A., Passerel, D., Li, H. & Ben-Dor, G. 1995 Reconsideration of oblique shock wave reflections in steady flows. Part 1. Experimental investigation. J. Fluid Mech. 301, 1935.CrossRefGoogle Scholar
Erdos, J. & Pallone, A. 1962 Shock-boundary layer interaction and flow separation. In Proceedings of the 1962 Heat Transfer and Fluid Mechanics Institute, vol. 15, pp. 239–254. Stanford University Press.Google Scholar
Giepman, R.H.M., Schrijer, F.F.J. & van Oudheusden, B.W. 2018 A parametric study of laminar and transitional oblique shock wave reflections. J. Fluid Mech. 844, 187215.CrossRefGoogle Scholar
Grossman, I.J. & Bruce, P.J.K. 2018 Confinement effects on regular-irregular transition in shock-wave-boundary-layer interactions. J. Fluid Mech. 853, 171204.CrossRefGoogle Scholar
Hakkinen, R.J., Greber, I., Trilling, L. & Abarbanel, S.S. 1959 The interaction of an oblique shock wave with a laminar boundary layer. Tech. Rep. NASA Memo 2-18-59W.Google Scholar
Li, H. & Ben-Dor, G. 1996 a Application of the principle of minimum entropy production to shock wave reflection. Part I. steady flow. J. Appl. Phys. 80, 20272037.CrossRefGoogle Scholar
Li, H. & Ben-Dor, G. 1996 b Application of the principle of minimum entropy production to shock wave reflection. Part II. unsteady flow. J. Appl. Phys. 80, 20382048.CrossRefGoogle Scholar
Li, H., Chpoun, A. & Ben-Dor, G. 1999 Analytical and experimental investigations of the reflection of asymmetric shock waves in steady flows. J. Fluid Mech. 390, 2543.CrossRefGoogle Scholar
Matheis, J. & Hickel, S. 2015 On the transition between regular and irregular shock patterns of shock-wave/boundary-layer interactions. J. Fluid Mech. 776, 200234.CrossRefGoogle Scholar
von Neumann, J. 1943 Oblique reflection of shocks. Tech. Rep. 12. Navy Department, Bureau of Ordnance, Washington DC.Google Scholar
von Neumann, J. 1945 Refraction, intersection and reflection of shock waves. Tech. Rep. 203. Navy Department, Bureau of Ordnance, Washington DC.Google Scholar
Sriram, R., Srinath, L., Devaraj, M.K.K. & Jagadeesh, G. 2016 On the length scales of hypersonic shock-induced large separation bubbles near leading edges. J. Fluid Mech. 806, 304355.CrossRefGoogle Scholar
Tao, Y., Fan, X.Q. & Zhao, Y.L. 2014 Viscous effects of shock reflection hysteresis in steady supersonic flows. J. Fluid Mech. 759, 134148.CrossRefGoogle Scholar
Wang, C.P., Xue, L.S. & Cheng, K.M. 2018 Application of the minimum entropy production principle to shock reflection induced by separation. J. Fluid Mech. 857, 784805.CrossRefGoogle Scholar
Wang, C.P., Xue, L.S. & Tian, X.A. 2017 Experimental characteristics of oblique shock train upstream propagation. Chin. J. Aeronaut. 30, 663676.CrossRefGoogle Scholar
Xue, L.S., Schrijer, F.F.J., van Oudheusden, B.W., Wang, C.P., Shi, Z.W. & Cheng, K.M. 2020 Theoretical study on regular reflection of shock wave-boundary layer interactions. J. Fluid Mech. 899, A30.CrossRefGoogle Scholar
Xue, L.S., Wang, C.P. & Cheng, K.M. 2018 Dynamic characteristics of separation shock in an unstarted hypersonic inlet flow. AIAA J. 56, 24842490.CrossRefGoogle Scholar
Zheltovodov, A.A. 1996 Shock waves/turbulent boundary-layer interactions – fundamental studies and applications. Tech. Rep. 96. AIAA Paper.CrossRefGoogle Scholar
Zheltovodov, A.A. & Yakovlev, V.N. 1986 Stages of development, gas dynamic structure and turbulence characteristics of turbulent compressible separated flows in the vicinity of 2-D obstacles. Tech. Rep. 27. Inst. Theor. Appl. Mech. (ITAM).Google Scholar