On the normal detonation shock velocity-curvature relationship for materials with large activation energy

Jin Yao; D. Scott Stewart

doi:10.1016/0010-2180(94)00144-H

On the normal detonation shock velocity-curvature relationship for materials with large activation energy

Jin Yao, D. Scott Stewart

Mechanical Science and Engineering

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

Abstract

We derive the normal detonation shock velocity-curvature relation for a near-Chapman-Jouguet detonation, for an explosive material with Arrhenius kinetics and a large activation energy. Large activation energy asymptotics are used to develop an explicit exponential formula relating the shock curvature κ to the normal detonation shock speed, D_n. In this case, the D_n-κ relation is multivalued and has a turning point with a critical curvature κ_cr such that for κ > κ_cr, the possibility of detonation extinction arises. The asymptotic formula is in excellent agreement with the exact solution found by a numerical shooting procedure.

Original language	English (US)
Pages (from-to)	519-528
Number of pages	10
Journal	Combustion and Flame
Volume	100
Issue number	4
DOIs	https://doi.org/10.1016/0010-2180(94)00144-H
State	Published - Mar 1995

ASJC Scopus subject areas

Chemistry(all)
Chemical Engineering(all)
Fuel Technology
Energy Engineering and Power Technology
Physics and Astronomy(all)

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title = "On the normal detonation shock velocity-curvature relationship for materials with large activation energy",

abstract = "We derive the normal detonation shock velocity-curvature relation for a near-Chapman-Jouguet detonation, for an explosive material with Arrhenius kinetics and a large activation energy. Large activation energy asymptotics are used to develop an explicit exponential formula relating the shock curvature κ to the normal detonation shock speed, Dn. In this case, the Dn-κ relation is multivalued and has a turning point with a critical curvature κcr such that for κ > κcr, the possibility of detonation extinction arises. The asymptotic formula is in excellent agreement with the exact solution found by a numerical shooting procedure.",

author = "Jin Yao and Stewart, {D. Scott}",

note = "Funding Information: This work has been supported by the United States Air Force, Wright Laboratory, Armanment Directorate, Eglin Air Force Base, FO8630-92- KOO57, and with computing resources from the National Center for Supercomputing Applications (NCSA).",

year = "1995",

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doi = "10.1016/0010-2180(94)00144-H",

language = "English (US)",

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T1 - On the normal detonation shock velocity-curvature relationship for materials with large activation energy

AU - Yao, Jin

AU - Stewart, D. Scott

N1 - Funding Information: This work has been supported by the United States Air Force, Wright Laboratory, Armanment Directorate, Eglin Air Force Base, FO8630-92- KOO57, and with computing resources from the National Center for Supercomputing Applications (NCSA).

PY - 1995/3

Y1 - 1995/3

N2 - We derive the normal detonation shock velocity-curvature relation for a near-Chapman-Jouguet detonation, for an explosive material with Arrhenius kinetics and a large activation energy. Large activation energy asymptotics are used to develop an explicit exponential formula relating the shock curvature κ to the normal detonation shock speed, Dn. In this case, the Dn-κ relation is multivalued and has a turning point with a critical curvature κcr such that for κ > κcr, the possibility of detonation extinction arises. The asymptotic formula is in excellent agreement with the exact solution found by a numerical shooting procedure.

AB - We derive the normal detonation shock velocity-curvature relation for a near-Chapman-Jouguet detonation, for an explosive material with Arrhenius kinetics and a large activation energy. Large activation energy asymptotics are used to develop an explicit exponential formula relating the shock curvature κ to the normal detonation shock speed, Dn. In this case, the Dn-κ relation is multivalued and has a turning point with a critical curvature κcr such that for κ > κcr, the possibility of detonation extinction arises. The asymptotic formula is in excellent agreement with the exact solution found by a numerical shooting procedure.

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JO - Combustion and Flame

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ER -

On the normal detonation shock velocity-curvature relationship for materials with large activation energy

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