Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-21T11:28:58.435Z Has data issue: false hasContentIssue false
  • English
  • Français

Flow features resulting from shock wave impact on a cylindrical cavity

Published online by Cambridge University Press:  21 May 2007

BERIC W. SKEWS  and
HARALD KLEINE
BERIC W. SKEWS
Affiliation:
School of Mechanical, Industrial, and Aeronautical Engineering, University of the Witwatersrand, Johannesburg, 2050, South Africa
HARALD KLEINE
Affiliation:
School of Aerospace, Civil, and Mechanical Engineering, University of New South Wales, Australian Defence Force Academy, Canberra, ACT 2600, Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

The complex flow features that arise from the impact of a shock wave on a concave cavity are determined by means of high-speed video photography. Besides additional information on features that have previously been encountered in specific studies, such as those relating to shock wave reflection from a cylindrical wall and those associated with shock wave focusing, a number of new features become apparent when the interaction is studied over longer times using time-resolved imaging. The most notable of these new features occurs when two strong shear layers meet that have been generated earlier in the motion. Two jets can be formed, one facing forward and the other backward, with the first one folding back on itself. The shear layers themselves develop a Kelvin–Helmholtz instability which can be triggered by interaction with weak shear layers developed earlier in the motion. Movies are available with the online version of the paper.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 580 , 10 June 2007 , pp. 481 - 493
Copyright
Copyright © Cambridge University Press 2007

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

REFERENCES

Ben-Dor, G. 1992 Shock Wave Reflection Phenomena. Springer.CrossRefGoogle Scholar
Ben-Dor, G. & Elperin, T. 1991 Analysis of the wave configuration resulting from the termination of an inverse Mach reflection. Shock Waves 1, 237–241.CrossRefGoogle Scholar
Ben-Dor, G. & Takayama, K. 1985 Analytical prediction of the transition from Mach to regular reflection over cylindrical concave wedges. J. Fluid Mech. 158, 365–380.CrossRefGoogle Scholar
Hornung, H.G., Oertel, H. & Sandeman, R. J. 1979 Transition to Mach reflection of shock waves in steady and pseudo-steady flows with and without relaxation. J. Fluid Mech. 90, 541–560.CrossRefGoogle Scholar
Izumi, K., Aso, S. & Nishida, M. 1994 Experimental and computational studies focusing processes of shock waves reflected from parabolic reflectors. Shock Waves 3, 213–222.CrossRefGoogle Scholar
Shugaev, F. V. & Shtemenko, L. S. 1998 Propagation and Reflection of Shock Waves. World Scientific.CrossRefGoogle Scholar
Sturtevant, B. & Kulkarny, V. A. 1976 The focusing of weak shock waves. J. Fluid Mech. 73, 651–671.CrossRefGoogle Scholar
Whitham, G. B. 1957 A new approach to problems of shock dynamics. Part 1. Two-dimensional problems. J. Fluid Mech. 2, 145–171.CrossRefGoogle Scholar

Skews and Kleine supplementary movie

Movie 1. Schlieren imaging of a Mach 1.04 shock interacting with the cavity, showing the transition from the incident wave, through the focusing phase, to the development of the main reflected wave. Framing rate = 500 kfps. Model A.

Download Skews and Kleine supplementary movie(Video)
Video 5.7 MB

Skews and Kleine supplementary movie

Movie 2. Propagation of a Mach 1.33 incident shock showing the wavelets generated from thin tape positioned on the wall. Framing rate = 250 kfps. Model A.

Download Skews and Kleine supplementary movie(Video)
Video 4.9 MB

Skews and Kleine supplementary movie

Movie 3. Shadowgraph record of a Mach 1.24 shock wave reflecting off the cylindrical surface. The reflection pattern changes from a reflected compression wave, to a Mach Reflection, MR, followed by a Transitioned Regular Reflection, TRR. Framing rate = 500 kfps. Model B.

Download Skews and Kleine supplementary movie(Video)
Video 8.2 MB

Skews and Kleine supplementary movie

Movie 4. Flow features following interaction for a Mach 1.35 incident shock, showing the development of the jets and the Kelvin-Helmholtz instability on the shear layer, including the weak shear layer that triggers an instability. Framing rate = 250 kfps. Model A.

Download Skews and Kleine supplementary movie(Video)
Video 7.6 MB