Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-23T22:00:27.285Z Has data issue: false hasContentIssue false
  • English
  • Français

Three-dimensional shock wave reflection transition in steady flow

Published online by Cambridge University Press:  06 November 2018

Divek Surujhlal Open the ORCID record for Divek Surujhlal [Opens in a new window]  and
Beric W. Skews Open the ORCID record for Beric W. Skews [Opens in a new window]
Divek Surujhlal*
Affiliation:
Flow Research Unit, Department of Mechanical, Industrial and Aeronautical Engineering, University of the Witwatersrand, Braamfontein, PO WITS, 2050, South Africa
Beric W. Skews
Affiliation:
Flow Research Unit, Department of Mechanical, Industrial and Aeronautical Engineering, University of the Witwatersrand, Braamfontein, PO WITS, 2050, South Africa
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Three-dimensional shock wave reflection comprises flow physics that is significantly different from the well-documented two-dimensional cases in a number of aspects. The most important differentiating factor is the sweep of the shock system. In particular, this work examines the nature of flow fields in which there is a transition of shock reflection configuration in three-dimensional space. The flow fields investigated have been made to exist in the absence of edge effects influencing the shock interaction and transition, as found previously to exist in conventional double-wedge studies. In general, the shock configurations are those with central regular and peripheral Mach reflection portions. It is shown that the sweep angle of the portions on either side of the transition point is subject to a cusp, as per an analytical model that is developed. This is confirmed with the use of numerical models with additional evidence provided by experimental results using oblique shadow photography. Further application of the principles of three-dimensional shock analysis and those pertaining to the sweep cusp model yield important insights regarding the overall shock geometry and that at transition.

JFM classification

Aerodynamics: Aerodynamics Compressible Flows: Compressible Flows Compressible Flows: Shock waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 858 , 10 January 2019 , pp. 565 - 587
Check for updates
Copyright
© 2018 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anderson, J. D. 2001 Fundamentals of Aerodynamics, 3rd edn. McGraw-Hill.Google Scholar
Ben-Dor, G. 2007 Shock Wave Reflection Phenomena, 2nd edn. Springer.Google Scholar
Domel, N. D. 2016 General three-dimensional relation for oblique shocks on swept ramps. AIAA J. 54 (1), 310–319.Google Scholar
Emanuel, G. 2000 Analytical Fluid Dynamics, 2nd edn. CRC Press.Google Scholar
Hornung, H. G. 1986 Regular and Mach reflection of shock waves. Annu. Rev. Fluid Mech. 18, 33–58.Google Scholar
Hornung, H. G., Oertel, H. & Sandeman, R. J. 1979 Transition to Mach reflexion of shock waves in steady and pseudosteady flow with and without relaxation. J. Fluid Mech. 90, 541–560.Google Scholar
Huang, W., Wang, Z., Pourkashanian, M., Ma, L., Ingham, D. B., Luo, S., Lei, J. & Liu, J. 2011 Numerical investigation on the shock wave transition in a three-dimensional scramjet isolator. Acta Astron. 68, 1669–1675.Google Scholar
Ivanov, M. S. 2000 Transition between regular and Mach reflection of shock waves: new numerical and experimental results. In European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona, Spain. European Committee on Computational Methods in Applied Sciences.Google Scholar
Ivanov, M. S., Khotyanovsky, D. V., Kudryavtsev, A. N., Markelov, G. N. & Nikiforov, S. B. 2001 Experimental study of 3D shock wave configurations during RR/MR transition. In Proceedings of 23rd International Symposium on Shock Waves (ed. Lu, F. K.), University of Texas, paper 1771.Google Scholar
Keldysh, V. V. 1966 Intersection of two plane shock waves in space. Prikl. Mat. Mekh. 30, 189–193 (translated).Google Scholar
Kudryavtsev, A. N., Khotyanovsky, D. V., Ivanov, M. S., Hadjadj, A. & Vandromme, D. 2002 Numerical investigations of transition between regular and Mach reflections caused by free-stream disturbances. Shock Waves 12, 157–165.Google Scholar
Migotsky, E. & Morkovin, M. V. 1951 Three-dimensional shock wave reflections. J. Aero. Sci. 18, 484–489.Google Scholar
Skews, B. W. 1997 Aspect ratio effects in wind tunnel studies of shock wave reflection transition. Shock Waves 7, 373–383.Google Scholar
Skews, B. W. 2000 Three-dimensional effects in wind tunnel studies of shock wave reflection. J. Fluid Mech. 407, 85–104.Google 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.Google Scholar