The shock dynamics of stable multidimensional detonation

D. Scott Stewart; John B. Bdzil

doi:10.1016/0010-2180(88)90130-7

The shock dynamics of stable multidimensional detonation

D. Scott Stewart, John B. Bdzil

Mechanical Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The paper develops a description for the propagation of an unsupported, unsteady, multidimensional detonation wave for an explosive with a fully resolved reaction zone and a polytropic equation of state. The main features of the detonation are determined once the leading shock surface is known. The principal result is that the detonation velocity in the direction along the normal to the shock is the Chapman-Jouguet velocity plus a correction that is a function of the local total curvature of the shock. A specific example of unsteady propagation is discussed and the stability of a two-dimensional steady solution is examined.

Original language	English (US)
Pages (from-to)	311-323
Number of pages	13
Journal	Combustion and Flame
Volume	72
Issue number	3
DOIs	https://doi.org/10.1016/0010-2180(88)90130-7
State	Published - Jun 1988

ASJC Scopus subject areas

General Chemistry
General Chemical Engineering
Fuel Technology
Energy Engineering and Power Technology
General Physics and Astronomy

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10.1016/0010-2180(88)90130-7

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title = "The shock dynamics of stable multidimensional detonation",

abstract = "The paper develops a description for the propagation of an unsupported, unsteady, multidimensional detonation wave for an explosive with a fully resolved reaction zone and a polytropic equation of state. The main features of the detonation are determined once the leading shock surface is known. The principal result is that the detonation velocity in the direction along the normal to the shock is the Chapman-Jouguet velocity plus a correction that is a function of the local total curvature of the shock. A specific example of unsteady propagation is discussed and the stability of a two-dimensional steady solution is examined.",

author = "{Scott Stewart}, D. and Bdzil, {John B.}",

note = "Funding Information: The authors would like to thank D. Kassoy for directing us to consider the limit of simple depletion. D. S. Stewart has been supported by Los Alamos National Laboratory under Contract DOE-LANL-gXR6-5128C1.",

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N2 - The paper develops a description for the propagation of an unsupported, unsteady, multidimensional detonation wave for an explosive with a fully resolved reaction zone and a polytropic equation of state. The main features of the detonation are determined once the leading shock surface is known. The principal result is that the detonation velocity in the direction along the normal to the shock is the Chapman-Jouguet velocity plus a correction that is a function of the local total curvature of the shock. A specific example of unsteady propagation is discussed and the stability of a two-dimensional steady solution is examined.

AB - The paper develops a description for the propagation of an unsupported, unsteady, multidimensional detonation wave for an explosive with a fully resolved reaction zone and a polytropic equation of state. The main features of the detonation are determined once the leading shock surface is known. The principal result is that the detonation velocity in the direction along the normal to the shock is the Chapman-Jouguet velocity plus a correction that is a function of the local total curvature of the shock. A specific example of unsteady propagation is discussed and the stability of a two-dimensional steady solution is examined.

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The shock dynamics of stable multidimensional detonation

Abstract

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