Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-05-20T20:09:04.064Z Has data issue: false hasContentIssue false
  • English
  • Français

On self-similar blast waves headed by the Chapman–Jouguet detonation

Published online by Cambridge University Press:  29 March 2006

A. K. Oppenheim ,
A. L. Kuhl  and
M. M. Kamel
A. K. Oppenheim
Affiliation:
University of California, Berkeley
A. L. Kuhl
Affiliation:
University of California, Berkeley
M. M. Kamel
Affiliation:
University of California, Berkeley
Get access Rights & Permissions [Opens in a new window]

Abstract

The paper explores the whole class of self-similar solutions for blast waves bounded by Chapman-Jouguet detonations that propagate into a uniform, quiescent, zero counter-pressure atmosphere of a perfect gas with constant specific heats. Since such conditions can be approached quite closely by some actual chemical systems at N.T.P., this raises the interesting possibility of the existence of Chapman-Jouguet detonations of variable velocity. The principal virtue of the results presented here is, however, more of theoretical significance. They represent the limiting case for all the self-similar blast waves headed by gasdynamic discontinuities associated with a deposition of finite amounts of energy, and they exhibit some unique features owing to the singular nature of the Chapman-Jouguet condition.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 55 , Issue 2 , 26 September 1972 , pp. 257 - 270
Copyright
© 1972 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

Champetier, J. L., Couairon, M. & Vendenboomgaerde, Y. 1968 C. R. Acad. Sci., Paris, B 267, 1133.
Courant, R. & Friedrichs, K. O. 1948 Supersonic Flow and Shock Waves. Interscience.
Oppenheim, A. K., Kuhl, A. L., Lundstrom, E. A. & Kamel, M. M. 1972 A parametric study of self-similar blast waves. J. Fluid Mech. 52, 657–682.Google Scholar
Sedov, L. I. 1959 Similarity and Dimensional Methods in Mechanics, 4th edn., English translation (ed. M. Holt), chap. IV, pp. 193–200. Academic.
Stanyukovich, K. P. 1955 Unsteady Motion of Continuous Media. Moscow: Gostokhizdat. (Trans. 1960, ed. M. Holt, Pergamon.)
Taylor, G. I. 1950 The dynamics of the combustion products behind plane and spherical detonation fronts in explosives. Proc. Roy. Soc. A 200, 235–247. (See also 1958 Fundamentals of Gas Dynamics (ed. H. W. Emmons), chap. 3. Princeton University Press.)Google Scholar
Wilson, C. R. & Turcotte, D. L. 1970 Similarity solution for a spherical radiation-driven shock wave. J. Fluid Mech. 43, 399–406.Google Scholar
Zel'dovich, Ya. B. & Kompaneets, A. A. 1960 Theory of Detonation, pp. 279–284. Academic.
Zel'dovich, Ya. B. & Raizer, Yu. P. 1966 Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (ed. W. D. Hayes and R. F. Probstein), vol. II, pp. 785–811. Academic.