Abstract
A new analytic model of aluminized explosive products based on the method of characteristics for planar isentropic flow is proposed herein. The contribution of Al oxidation in the explosion products is investigated analytically. The flow behind the detonation front cannot be treated as isentropic due to the Al oxidation in the products. To solve the nonisentropic flow field of aluminized explosives products analytically, the assumption of local isentropic process is proposed. Based on this assumption, the flow field behind the detonation front of aluminized explosive is a function of only the reacted aluminum mass fraction in each time range. The metal plate test was conducted with the metal plate driven by RDX/Al/wax (76/20/4) and RDX/LiF/wax (76/20/4). The reacted aluminum mass can be obtained indirectly from the experiment results. The reacted aluminum mass was then applied to the analytic model, and the velocity of metal plate driven by RDX/Al/wax (76/20/4) and RDX/LiF/wax (76/20/4) was calculated. The final velocity of the metal plate driven by RDX/Al/wax was 7.8% higher than that driven by RDX/LiF/wax.
Highlights
The addition of aluminum to condensed explosives to increase the total energy release of the explosive is common practice
The result calculated by the model cannot be as precise as the result which is calculated by computational fluid dynamics (CFD); the objective of the present study is to develop a simplified analytical model to describe the contribution of Al oxidation, in the same fashion of the classical isentropic flow model for detonation products of ideal explosive
A simple model for aluminized explosive products was constructed and used to calculate the motion of a metal plate driven by aluminized explosive
Summary
The addition of aluminum to condensed explosives to increase the total energy release of the explosive is common practice. Mesoscale modeling with hydrocodes is widely used (Frost et al [10], Ripley et al [11], Zhang et al [12], Milne et al [6], etc.) These models can, in principle, describe a great amount of detail about the phenomena of interest, developing an analytic model that captures the key elements of the problem in a way that makes the dominant features discernible would be preferred. We propose an assumption called local isentropic process, which enables the conclusion that the flow field behind the Mathematical Problems in Engineering detonation front of aluminized explosive is only a function of the reacted aluminum mass fraction at each time. Applying the model and the described assumptions, we calculated the velocity of metal plate driven by the RDX/Al/wax (76/20/4) and RDX/LiF/wax (76/20/4). We compared the test result with the result calculated by our analytic model and found that the final velocity of metal plate driven by the RDX/Al/wax (76/20/4) calculated by the analytic model is 4.5% higher than the test result
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