Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-18T17:59:04.054Z Has data issue: false hasContentIssue false

Shock attenuation in a ‘gradual’ area expansion

Published online by Cambridge University Press:  29 March 2006

M. A. Nettleton
Affiliation:
Central Electricity Research Laboratories, Leatherhead, Surrey

Abstract

The effect of the angle of divergence ϕ, the magnitude of the area ratio A21 and the specific-heat ratio of the gas γ on the attenuation of a shock in a two-dimensional area expansion has been experimentally determined. The results are compared with current theories relating shock strength and area ratio. At some distance from the expansion the change in shock strength, for shocks with strengths up to 10, is predicted reasonably accurately by an analysis of Chisnell (1957). Close to the area change surprisingly strong shocks were observed. This is shown to result from the diffracted shock undergoing a Mach reflexion at the end of the expansion.

Type
Research Article
Copyright
© 1973 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

Chester, W. 1953 Quart. J. Mech. Appl. Math. 6, 440.
Chester, W. 1954 Phil. Mag. 45, 1293.
Chester, W. 1960 Adv. in Appl. Mech. 6, 119.
Chisnell, R. F. 1957 J. Fluid Mech. 2, 286.
Davies, P. O. A. L. & Guy, T. B. 1971 Symposium on Internal Flows, University of Salford, paper 30, p. D46.
Deckker, B. E. L. & Gururaja, J. 1970 Thermodynamics and Fluid Mechanics Convention, University of Glasgow, p. 27. London: Inst. Mech. Engrs.
Laporte, O. 1954 Los Alamos Sci. Lab. Rep. LA 1740.
Nettleton, M. A. & Sloan, S. A. 1971 Shock Tube Research, Proc. 8th Int. Shock Tube Symp., paper 18. Chapman & Hall.
Nettleton, M. A. & Sloan, S. A. 1973. To be published.
Rudinger, G. 1969 Nonsteady Duct Flow: Wave-Diagram Analysis. Dover.
Skews, B. W. 1966 University of Witwaterstand, Dept. Mech. Engng Rep. no. 35.
Skews, B. W. 1967 J. Fluid Mech. 28, 297.
Whitham, G. B. 1957 J. Fluid Mech. 2, 145.
Whitham, G. B. 1959 J. Fluid Mech. 5, 369.