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A study of the asymmetric shock reflection configurations in steady flows

Published online by Cambridge University Press:  18 July 2017

Yuan Tao Open the ORCID record for Yuan Tao [Opens in a new window] ,
Weidong Liu ,
Xiaoqiang Fan ,
Bin Xiong ,
Jiangfei Yu  and
Mingbo Sun
Yuan Tao
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha, 410073, PR China
Weidong Liu*
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha, 410073, PR China
Xiaoqiang Fan
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha, 410073, PR China
Bin Xiong
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha, 410073, PR China
Jiangfei Yu
Affiliation:
College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, 410073, PR China
Mingbo Sun
Affiliation:
Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha, 410073, PR China
*
†Email address for correspondence: [email protected]
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Abstract

In this paper the asymmetric shock reflection configurations in two-dimensional steady flows have been studied theoretically. For an overall Mach reflection, it is found that the horizontal distance between both triple points in the Mach stem is related to the angles of two slip streams. Based on the features of the converging stream tube, several assumptions are put forward to perform better the wave configurations near the slip streams. Therefore, we present an analytical model here to describe the asymmetric overall Mach reflection configurations which agrees well with the computational and experimental results.

JFM classification

Compressible Flows: Compressible Flows Compressible Flows: Shock waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 825 , 25 August 2017 , pp. 1 - 15
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Copyright
© 2017 Cambridge University Press 

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References

Azevedo, D. J. & Liu, C. S. 1993 Engineering approach to the prediction of shock patterns in bounded high-speed flows. AIAA J. 31, 83–90.CrossRefGoogle Scholar
Bai, C. Y. & Wu, Z. N. 2017 Size and shape of shock waves and slipsline foe Mach reflection in steady flow. J. Fluid Mech. 818, 116–140.Google Scholar
Ben-Dor, G. 1999 Hysteresis phenomena in shock wave reflections in steady flows. J. Mater. Process. Technol. 85, 15–19.CrossRefGoogle Scholar
Ben-Dor, G. 2007 Shock Wave Reflection Phenomena. Springer.Google Scholar
Chpoun, A. & Lengrand, J. C. 1997 Confirmation experimentale d’un phenomene d’hysteresis lors de l’interaction de deux chocs obliques de familles differentes. C. R. Acad. Sci. Paris 324 (1), 1–8.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, 19–35.Google Scholar
Gao, B. & Wu, Z. N. 2010 A study of the flow structure for Mach reflection in steady supersonic flow. J. Fluid Mech. 656, 29–50.Google Scholar
Hornung, H. G. & Mouton, C. A. 2008 Some more on transition between regular and Mach reflection of shock waves. In 38th Fluid Dynamics Conference and Exhibit, Washington, USA, AIAA.Google Scholar
Hornung, H. G., Oertel, H. & Sandeman, R. J. 1979 Transition to Mach reflection of shockwaves in steady and psuedo-steady flow with and without relaxation. J. Fluid Mech. 90, 541–547.CrossRefGoogle Scholar
Ivanov, M. S., Ben-Dor, G., Elperin, T., Kudryavtsev, A. N. & Khotyanovsky, D. V. 2002 The reflection of asymmetric shock waves in steady flows: a numerical investigation. J. Fluid Mech. 496, 71–87.CrossRefGoogle Scholar
Kudryavstsev, A. N., Khotyanosky, D. V. & Ivanov, M. S. 2000 Numerical simulation of asymmetrical steady shock wave interactions. In European Congress on Computational Methods in Applied Science and Engineering, Barcelona, Spain.Google Scholar
Li, H. & Ben-Dor, G. 1997 A parametric study of Mach reflection in steady flows. J. Fluid Mech. 341, 101–125.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. A.2008 Transition between regular reflection and Mach reflection in the dual-solution domain. PhD thesis, California Institute of Technology.Google Scholar
Mouton, C. A. & Hornung, H. G. 2008 Experiments on the mechanism of inducing transition between regular and Mach reflection. Phys. Fluids 20, 126103.CrossRefGoogle Scholar
von Neumann, J.1943 Oblique reflection of shocks. Explosive Research Rep. 12. Navy Department, Bureau of Ordnance, Washington, DC.Google Scholar
von Neumann, J.1945 Refraction, intersection and reflection of shock waves. NAVORD Rep. 203-245. Navy Department, Bureau of Ordnance, Washington, DC.Google Scholar
Tan, L. H., Ren, Y. X. & Wu, Z. N. 2006 Analytical and numerical study of the near flow field and shape of the Mach stem in steady flows. J. Fluid Mech. 546, 341–364.CrossRefGoogle Scholar
Tao, Y., Fan, X. Q. & Zhao, Y. L. 2015 Flow visualization for the evolution of the slip stream in steady shock reflection. J. Vis. 18, 21–24.Google Scholar