TY - JOUR

T1 - Theory of two-phase detonation-Part I

T2 - Modeling

AU - Powers, J. M.

AU - Stewart, D. S.

AU - Krier, H.

N1 - Funding Information:
This study was supported by AFOSR, Grant No. AFOSR-85-0311, Los Alamos National Laboratories, Contract No. DOE LANL 9XR6-5128C1, and ONR, Contract No. NOOO14-86-K-0434.

PY - 1990/6

Y1 - 1990/6

N2 - A new, one-dimensional, two-phase model appropriate for describing the detonation of granulated solid propellants or explosives is presented. The model satisfies the principle that the mixture mass, momentum, and energy are conserved, is strictly hyperbolic, and is frame indifferent. Conditions are presented for satisfying the second law of thermodynamics. It is shown that this and previous models do not satisfy the second law under all circumstances. It is shown that in the limit of no chemical reaction or gas phase effects that inclusion of compaction work is in violation of the energy conservation principle. It is also shown that a complete two-phase particle combustion model with constitutive functions dependent on particle radius requires an equation specifying the variation of particle radius; such a relation can be given by a number evolution equation. The model equations are solved in a subsequent study which follows as a separate article.

AB - A new, one-dimensional, two-phase model appropriate for describing the detonation of granulated solid propellants or explosives is presented. The model satisfies the principle that the mixture mass, momentum, and energy are conserved, is strictly hyperbolic, and is frame indifferent. Conditions are presented for satisfying the second law of thermodynamics. It is shown that this and previous models do not satisfy the second law under all circumstances. It is shown that in the limit of no chemical reaction or gas phase effects that inclusion of compaction work is in violation of the energy conservation principle. It is also shown that a complete two-phase particle combustion model with constitutive functions dependent on particle radius requires an equation specifying the variation of particle radius; such a relation can be given by a number evolution equation. The model equations are solved in a subsequent study which follows as a separate article.

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U2 - 10.1016/0010-2180(90)90104-Y

DO - 10.1016/0010-2180(90)90104-Y

M3 - Article

AN - SCOPUS:0025449560

SN - 0010-2180

VL - 80

SP - 264

EP - 279

JO - Combustion and Flame

JF - Combustion and Flame

IS - 3-4

ER -