Abstract
In this article, a simple model of aluminized explosive products under strong constraint is established. The analytical model incorporates the minimum details necessary to capture the contribution of the Al oxidation in the detonation products. In order to solve the flow field of aluminized explosive products analytically, some assumptions are necessary. It is assumed that Al particles are inert during the detonation reaction and do not affect the flow before oxidation of Al particles. To solve the flow field behind the detonation front analytically, the expansion process of detonation products is divided into several time ranges. In each short time range, it is assumed that the process is approximately isentropic. The metal plate test was conducted, and the motion of the metal plate was obtained. The comparison of calculation and test results was conducted. The quasi-analytic model can describe the contribution of Al reaction in the detonation products correctly, and the calculation results are in good agreement with test results.
Highlights
The addition of aluminum to condensed explosives to increase the total energy release of the explosive is a common practice
We developed a new model based on the classical theory for ideal explosive that incorporates the reaction of Al with the products, allowing us to analytically investigate the contribution of Al oxidation in the detonation products
The initial conditions are only related to the property of the aluminized explosive and are calculated according to the method in section ‘‘Initial conditions in each time range.’’ Under the strong constraint, the boundaries of metal plate test driven by aluminized explosive are related to the detonation velocity of aluminized explosive and can be obtained according to the method in section ‘‘The theoretical analysis of the motion of metal plate under strong constraint.’’ The reaction degree of aluminum powder in the detonation products is the key parameter to describe the contribution of aluminum powder in detonation products correctly
Summary
The addition of aluminum to condensed explosives to increase the total energy release of the explosive is a common practice. We developed a new model based on the classical theory for ideal explosive that incorporates the reaction of Al with the products, allowing us to analytically investigate the contribution of Al oxidation in the detonation products. To analytically solve the flow behind the detonation front of the aluminized explosive, we propose an assumption called local isentropic process, which enables the conclusion that the flow field behind the detonation front of aluminized explosive is only a function of the reacted aluminum mass fraction at each time. To analytically describe the contribution of Al oxidation in the detonation products, we simplified the problem and proposed some assumptions. Based on the classical one-dimensional model for ideal explosive, the state equation of detonation products is p = Arg + B T .13,14.
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