Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-18T19:08:28.578Z Has data issue: false hasContentIssue false
  • English
  • Français

A simplified analysis of spherical and cylindrical blast waves

Published online by Cambridge University Press:  28 March 2006

Manfred P. Friedman
Manfred P. Friedman
Affiliation:
Aerophysics Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts
Get access Rights & Permissions [Opens in a new window]

Abstract

Investigations into the behaviour of the gas flowbehind spherical or cylindrical blasts have shown that secondary shocks arise within the original detonation gases. The secondary shock, at first weak, is carried outward with the expanding gases. Subsequently it strengthens and bends back toward the origin, arriving there with high intensity.

By using some recently developed techniques in shock dynamics and extending them where necessary, a theory is developed by which the motion of the main shock wave, as well as the formation and subsequent motion of the secondary shock, are given by explicit formulae. In addition, a method for determining, also by explicit formulae, the location of the contact surface between the detonation gases and the outside atmosphere is given. The results of a specific problem, which has been solved by numerically integrating the total equations of motion, and has also been checked experimentally, are compared with the results of the present theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 11 , Issue 1 , August 1961 , pp. 1 - 15
Copyright
© 1961 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

Boyer, D. W. 1960 J. Fluid Mech. 9, 401.
Brode, H. L. 1957 Rand Corporation, Rep. RM-1974.
Brode, H. L. 1959 Phys. Fluids, 2, 217.
Chisnell, R. F. 1957 J. Fluid Mech. 2, 286.
Courant, R. & Friedrichs, K. O. 1948 Supersonic Flow and Shock Waves. New York: Interscience.
Friedman, M. P. 1960 J. Fluid Mech. 8, 193.
Shardin, H. 1954 Comm. Pure Appl. Math. 7, 223.
Wecken, F. 1950 Z. angew. Math. Mech. 30, 271.
Whitham, G. B. 1952 Comm. Pure Appl. Math. 5, 301.
Whitham, G. B. 1958 J. Fluid Mech. 4, 337.