Abstract
The transition of a system of partial differential equations which describe the stationary flow behind the shock–wave front of a detonation complex upon detonation of a cylindrical charge to a system of ordinary differential equations is performed by means of the series expansion in terms of the radial variable. The necessary equations for determination of the derivatives of solutions with respect to the parameters and the initial conditions for them are formulated. Imposing the condition of continuous extendibility of the solutions leads to equations that allow one to determine the shape of a shock–wave front as a function of wave velocity.
Similar content being viewed by others
REFERENCES
W. W. Wood and J. G. Kirkwood, "Diameter effect in condensed explosives. The relation between velocity and radius of curvature of the detonation wave," J. Chem. Phys., 22, No. 11, 1920-1924 (1954).
J. B. Bdzill. "Steady-state two-dimensional detonation," J. Fluid Mech., 108, 195-226 (1981).
L. S. Pontryagin, Ordinary Differential Equations [in Russian], Nauka, Moscow (1970).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gushanov, A.R. Dependence of the Shape of a Detonation Wave Front on the Detonation Wave Velocity upon Detonation of a Cylindrical Charge. Combustion, Explosion, and Shock Waves 37, 113–118 (2001). https://doi.org/10.1023/A:1002833128951
Issue Date:
DOI: https://doi.org/10.1023/A:1002833128951