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Downstream flow condition effects on the RR → MR transition of asymmetric shock waves in steady flows

Published online by Cambridge University Press:  10 February 2009

Z. M. HU ,
R. S. MYONG ,
M. S. KIM  and
T. H. CHO
Z. M. HU
Affiliation:
Research Center for Aircraft Parts Technology and School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju 660-701, South Korea
R. S. MYONG*
Affiliation:
Research Center for Aircraft Parts Technology and School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju 660-701, South Korea
M. S. KIM
Affiliation:
Research Center for Aircraft Parts Technology and School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju 660-701, South Korea
T. H. CHO
Affiliation:
Research Center for Aircraft Parts Technology and School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju 660-701, South Korea
*
†Email address for correspondence: myong@gnu.ac.kr
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Abstract

In this paper, the regular reflection (RR) to Mach reflection (MR) transition of asymmetric shock waves is theoretically studied by employing the classical two- and three-shock theories. Computations are conducted to evaluate the effects of expansion fans, which are inherent flow structures in asymmetric reflection of shock waves, on the RR → MR transition. Comparison shows good agreement among the theoretical, numerical and experimental results. Some discrepancies between experiment and theory reported in previous studies are also explained based on the present theoretical analysis. The advanced RR → MR transition triggered by a transverse wave is also discussed for the interaction of a hypersonic flow and a double-wedge-like geometry.

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Papers
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Journal of Fluid Mechanics , Volume 620 , 10 February 2009 , pp. 43 - 62
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Ben-Dor, G. 1991 Shock Wave Reflection Phenomena. Springer.Google Scholar
Ben-Dor, G. 2006 A state-of-the-knowledge review on pseudo-steady shock-wave reflections and their transition criteria. Shock Waves 15, 277–294.CrossRefGoogle Scholar
Ben-Dor, G., Elperin, T., Li, H. & Vasilev, E. I. 1999 The influence of downstream-pressure on the shock wave reflection phenomenon in steady flows. J. Fluid Mech. 386, 213–232.CrossRefGoogle Scholar
Ben-Dor, G., Ivanov, M., Vasilev, E. I. & Elperin, T. 2002 Hysteresis processes in the regular reflection ↔ Mach reflection transition in steady flows. Prog. Aerosp. Sci. 38 (4), 347–387.CrossRefGoogle Scholar
Ben-Dor, G., Vasilev, E. I., Elperin, T. & Zenovich, A. V. 2003 Self-induced oscillations in the shock wave flow pattern formed in a stationary supersonic flow over a double wedge. Phys. Fluids 15 (12), L85–L88.CrossRefGoogle Scholar
Chpoun, A. & Ben-Dor, G. 1995 Numerical confirmation of the hysteresis phenomenon in the regular to the Mach reflection transition in steady flows. Shock Waves 5, 199–203.CrossRefGoogle 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, 19–35.CrossRefGoogle Scholar
Edney, B. 1968 Anomalous heat transfer and pressure distributions on blunt bodies at hypersonic speeds in the presence of an impinging shock. Tech Rep. 115. The Aerospace Research Institute of Sweden.CrossRefGoogle Scholar
Han, Z. & Yin, X. 1993 Shock Dynamics. Kluwer.CrossRefGoogle Scholar
Henderson, L. F. 1990 The von Neumann paradox for the diffraction of weak shock waves. J. Fluid Mech. 213, 71–94.Google Scholar
Henderson, L. F., Colella, P. & Puckett, E. G. 1991 On the refraction of shock waves at a slow–fast gas interface. J. Fluid Mech. 224, 1–27.CrossRefGoogle Scholar
Henderson, L. F., Crutchfield, W. Y. & Virgona, R. J. 1997 The effect of heat conductivity and viscosity of argon on shock waves diffracting over rigid ramps. J. Fluid Mech. 331, 1–36.CrossRefGoogle Scholar
Henderson, L. F. & Menikoff, R. 1998 Triple shock entropy theorem and its consequences. J. Fluid Mech. 366, 179–210.CrossRefGoogle Scholar
Hornung, H. G. 1997 On the stability of steady-flow regular and Mach reflection. Shock Waves 7, 123–125.CrossRefGoogle Scholar
Hornung, H. G., Oertel, H. & Sandeman, R. J. 1979 Transitions to Mach reflection of shock waves in steady and pseudo-steady flow with and without relaxation. J. Fluid Mech. 90, 541–560.CrossRefGoogle Scholar
Ivanov, M., Zeitoun, D., Vuillon, J., Gimelshein, S. & Markelov, G. 1996 Investigation of the hysteresis phenomena in steady shock reflection using kinetic and continuum methods. Shock Waves 5, 341–346.CrossRefGoogle Scholar
Ivanov, M. S., Ben-Dor, G., Kudryavtsev, A. N. & Khotyyanovsky, D. V. 2002 The reflection of asymmetric shock waves in steady flows: a numerical investigation. J. Fluid Mech. 469, 71–87.CrossRefGoogle Scholar
Ivanov, M. S., Markelov, G. N., Kudryavtsev, A. N. & Gimelshein, S. F. 1998 Numerical analysis of shock wave reflection transition in steady flows. AIAA J. 36 (11), 2079–2086.CrossRefGoogle Scholar
Ivanov, M. S., Vandromme, D., Fomin, V. M., Kudryavtsev, A. N., Hadjadj, A. & Khotyanovsky, D. V. 2001 Transition between regular and Mach reflection of shock waves: new numerical and experimental results. Shock Waves 11, 199–207.CrossRefGoogle Scholar
Jiang, Z. L., Takayama, K. & Chen, Y. S. 1995 Dispersion conditions for non-oscillatory shock-capturing schemes and its applications. Comput. Fluid Dyn. J. 2, 137–150.Google Scholar
Jiang, Z. L. 2004 On the dispersion-controlled principles for non-oscillatory shock-capturing schemes. Acta Mech. Sinica 20 (1), 1–15.Google Scholar
Kudryavtsev, A. N., Khotyanovsky, D. V., Ivanov, M. S., Hadjadj, A. & Vandromme, D. 2002 Numerical investigation of transition between regular and Mach reflections caused by free-stream disturbances. Shock Waves 12, 157–165.CrossRefGoogle Scholar
Li, H. & Ben-Dor, G. 1996 Application of the principle of minimum entropy production to shock wave reflection. Part I. Steady flow. J. App. Phys. 80, 2027–2037.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, 25–43.CrossRefGoogle Scholar
Mouton, C. & Hornung, H. G. Experimental investigation of tripping between regular and Mach refelction in the dual-solution domain. In 26th Intl Symp. on Shock Waves, Göttingen, Germany.Google Scholar
Naidoo, K. & Skews, B. W. Computational and experimental investigation of dynamic shock reflection phenomena. In 26th Intl Symp. on Shock Waves, Göttingen, Germany.Google Scholar
von Neumann, J. 1943 Refraction, interaction and reflection of shock waves. Tech Rep. vol. 203–245. NAVORD.Google Scholar
Olejniczak, J., Wright, W. J. & Candler, G. V. 1997 Numerical study of inviscid shock interactions on double-wedge geometries. J. Fluid Mech. 352, 1–25.CrossRefGoogle Scholar
Rikanati, A., Sadot, O., Ben-Dor, G., Shvarts, D., Kuribayashi, T. & Takayama, K. 2006 Shock-wave Mach-reflection slip-stream instability: a secondary small-scale turbulent mixing phenomenon. Phys. Rev. Lett. 96 (17), 4503:1–4503:4.CrossRefGoogle ScholarPubMed
Skews, B. W. 1997 Aspect ratio effects in wind tunnel studies of shock wave reflection transition. Shock Waves 7, 373–383.CrossRefGoogle Scholar
Skews, B. W. 2000 Three-dimensional effects in wind tunnel studies of shock wave reflection. J. Fluid Mech. 407, 85–104.CrossRefGoogle Scholar
Sudani, N. & Hornung, H. G. 1998 Stability and analogy of shock wave reflection in steady flow. Shock Waves 8, 367–374.CrossRefGoogle Scholar
Sudani, N., Sato, M., Karasawa, T., Noda, J., Tate, A. & Watanabe, M. 2002 Irregular effects on the transition from regular to Mach reflection of shock waves in wind tunnel flows. J. Fluid Mech. 459, 167–185.CrossRefGoogle Scholar
Vuillon, J., Zeitoun, D. & Ben-Dor, G. 1995 Reconsideration of oblique shock wave reflections in steady flows. Part 2. Numerical investigation. J. Fluid Mech. 301, 37–50.CrossRefGoogle Scholar