Hostname: page-component-77c89778f8-gvh9x Total loading time: 0 Render date: 2024-07-18T21:24:14.224Z Has data issue: false hasContentIssue false

Shock waves at a slow-fast gas interface

Published online by Cambridge University Press:  19 April 2006

A. M. Abd-El-Fattah
Affiliation:
Department of Mechanical Engineering, University of Sydney, New South Wales 2006, Australia
L. F. Henderson
Affiliation:
Department of Mechanical Engineering, University of Sydney, New South Wales 2006, Australia

Abstract

This paper describes the results of our experiments with shock waves refracting at a CO2/CH4 interface. The refraction is slow-fast because the speed of sound in the incident gas (CO2) is less than that in the transmitting gas (CH4). We found three phenomena which apparently have not been reported before and which all have free precursor shocks in their wave systems; schlieren photographs of them are presented. As a result of the present and earlier work, we can assert that there exist at least four different free precursor refractions. Theoretical studies suggest that the slow-fast phenomena can be conveniently classified into three groups characterized by different ranges of values of the inverse strength ζi of the incident shock i. The classification may be an exhaustive list of the phenomena, at least when the gases are nearly perfect, but we cannot be sure. We present experimental data on all the phenomena in each group, including data on the transition conditions from one wave system to another both within and across the groups.

Type
Research Article
Copyright
© 1978 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

Abd-El-Fattah, A. M. & Henderson, L. F. 1978 J. Fluid Mech. 86, 15.
Abd-El-Fattah, A. M., Henderson, L. F. & Lozzi, A. 1976 J. Fluid Mech. 76, 157.
Bestman, A. R. 1977 J. Plasma Phys. 18, 189.
Bleakney, W. & Taub, A. H. 1949 Rev. Mod. Phys. 21, 584.
Guderley, K. G. 1947 Considerations of the structure of mixed subsonic-supersonic flow patterns. Headquarters Air Materiel Command, Wright Field, Dayton, Ohio, Tech. Rep F-TR-2168-ND.Google Scholar
Guderley, K. G. 1962 The Theory of Transonic Flow. Pergamon.
Gvosdeava, L. G., Bazhenova, T. V., Predvoditeleva, O. H. & Fokeev, V. P. 1970 Astron. Acta 15, 503.
Henderson, L. F. 1967 J. Fluid Mech. 26, 607.
Henderson, L. F. 1970 J. Fluid Mech. 40, 719.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139.
Jahn, R. G. 1956 J. Fluid Mech. 1, 457.
Kawamura, R. & Saito, H. 1956 J. Phys. Soc. Japan 11, 574.
Law, C. K. & Glass, I. I. 1971 C.A.S.I. Trans. 4, 2.
Macpherson, A. K. 1969 Astron. Acta 14, 549.
Neumann, J. Von 1943 Oblique reflexion of shock waves. Collected Works, vol. 6, p. 238. Pergamon.
Polachek, H. & Seeger, R. J. 1951 Phys. Rev. 84, 922.
Sakurai, A. 1964 J. Phys. Soc. Japan 19, 1440.
Shchelkin, K. I. & Troshin, YA. K. 1964 Gasdynamics of combustion. N.A.S.A. Tech. Trans. no. 231.Google Scholar
Taub, A. H. 1947 Phys. Rev. 72, 51.