Hostname: page-component-7857688df4-8r446 Total loading time: 0 Render date: 2025-11-18T06:04:01.697Z Has data issue: false hasContentIssue false
  • English
  • Français

The reflection of a plane shock wave over a double wedge

Published online by Cambridge University Press:  21 April 2006

G. Ben-Dor ,
J. M. Dewey  and
K. Takayama
G. Ben-Dor
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
J. M. Dewey
Affiliation:
Department of Physics, University of Victoria, Victoria, British Columbia, Canada
K. Takayama
Affiliation:
Institute of High Speed Mechanics, Tohoku University, Sendai, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

An analysis is presented of the shock-wave configurations which will occur when a plane shock is incident on a double wedge for which the second wedge may have a greater (concave case) or a smaller (convex case) inclination than the first wedge. It is shown that seven different reflection processes may be expected depending on the Mach number of the incidnet shock Mi and the two wedge angles θ1w and θ2w. These processes may be defined by seven regiouns in the (θ1w,θ2w)-plane, for a given value of Mi. Each of the seven processes has been verified by sequences of shadowgraph and schlieren photographs.

A shock-polar analysis of each of the seven processes has provided infomation about the pressure changes and the wave structures which develop immediately behind the main reflections along the wedge surfaces. These wave structures have been verified experimentally, and two types have been observed; one normal to the reflecting surface, and the other in the form of a regular reflection. The criteria to determine which of thses configurations will occur have not yet been established.

It is believed that the present study will be of value in predicting the loading of shock waves on structures, and may lead to a better understanding of shock reflections form concave and convex cylindrical surfaces.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 483 - 520
Copyright
© 1987 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.)

Article purchase

Temporarily unavailable

References

Ben-Dor, G. 1978 UTIAS Rep. No. 232. University of Toronto, Toronto, Canada.
Ben-Dor, G. 1980 Can. Aero. & Space J. 26, 98.
Ben-Dor, G., Takayama, K. & Kawauchi, T. 1980 J. Fluid Mech. 100, 147.
Courant, R. & Friedrichs, K. O. 1948 Hypersonic Flow and Shock Waves. Wiley-Interscience.
Dewey, J. M. & McMillin, D. J. 1985 J. Fluid Mech. 152, 67.
Dewey, J. M. & Walker, D. K. 1975 J. Appl. Phys. 46, 3454.
Dewey, J. M., Walker, D. K., Lock, G. C. & Scotten, L. N. 1983 Shock Tubes and Waves (ed. R. D. Archer & B. E. Milton), p. 144. New South Wales University Press.
Ginzburg, I. P. & Markov, Y. S. 1975 Fluid Mech. Sov. Res. 4, 167.
Heilig, W. H. 1969 Phys. Fluids Suppl. 12, 1154.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139.
Henderson, L. F. & Woolmington, J. P. 1983 Shock Tubes and Waves (ed. R. D. Archer & B. E. Milton), p. 160. New South Wales University Press.
Hornung, H. G., Oertel, H. & Sandeman, R. J. 1979 J. Fluid Mech. 90, 541.
Itoh, S., Okazaki, N. & Itaya, M. 1981 J. Fluid Mech. 108, 383.
Jones, D. M., Martin, P. M. & Thornhill, C. K. 1951 Proc. R. Soc. A 209, 238.
Kawamura, R. & Saito, H. 1956 J. Phys. Soc. Japan 11 (5), 584.
von Neumann, J. 1963 Collected Works, vol. 6. Pergamon.
Takayama, K. & Ben-Dor, G. 1985 AIAA J. 23, 1853.