Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-29T13:11:06.949Z Has data issue: false hasContentIssue false

Transition from regular to Mach reflection of shock waves Part 2. The steady-flow criterion

Published online by Cambridge University Press:  20 April 2006

H. G. Hornung
Affiliation:
Department of Physics, Faculty of Science, Australian National University, P.O. Box 4, Canberra, ACT 2600 Present address: DFVLR-AVA, 34 Göttingen, Bunsenstr. 10, W. Germany.
M. L. Robinson
Affiliation:
Weapons Systems Research Laboratory, Defence Research Centre, Salisbury, South Australia

Abstract

It is shown experimentally that, in steady flow, transition to Mach reflection occurs at the von Neumann condition in the strong shock range (Mach numbers from 2.8 to 5). This criterion applies with both increasing and decreasing shock angle, so that the hysteresis effect predicted by Hornung, Oertel & Sandeman (1979) could not be observed. However, evidence of the effect is shown to be displayed in an unsteady experiment of Henderson & Lozzi (1979).

Type
Research Article
Copyright
© 1982 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

Becker, E. 1966 Gasdynamik. Teubner. (See also English translation, 1968, Academic.)
Courant, R. & Friedrichs, K. O. 1948 Supersonic Flow and Shock Waves Wiley-Interscience.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139155.
Henderson, L. F. & Lozzi, A. 1979 J. Fluid Mech. 94, 541559.
Hornung, H. G., Oertel, H. & Sandeman, R. J. 1979 J. Fluid Mech. 53, 149176.
Hornung, H. G. & Kychakoff, G. 1977 In Proc. 11th Int. Symp. on Shock Tubes and Waves. Seattle, pp. 296302.
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics. Pergamon.
Liepmann, H. W. & Roshko, A. 1957 Elements of Gasdynamics. Wiley.
Robinson, M. L. 1970 Austral. Weapons Res. Est. Tech. Note HSA 171.
Robinson, M. L. & Hornung, H. G. 1980 In Proc. 7th Austral. Fluid Mech. Conf. Brisbane.
Robinson, M. L. & Landers, E. R. A. 1967 Austral. Weapons Res. Est. Rep. HSA 22.
Skews, B. W. 1971 C.A.S.I. Trans. 4, 99107.
Sternberg, J. 1959 Phys. Fluids 2, 179206.
Whitham, G. B. 1974 Linear and Nonlinear Waves. Wiley.