Non-Ideal Detonation Modelling of Ammonium Nitrate-Based Explosives

Highly non-ideal explosives usually tend to react expressively below their ideal detonation velocities. In these cases, dimensional effects and product heterogeneities become important to proper model the detonation state. Although Direct Numerical Simulation (DNS) techniques can provide a complete and exact solution for this problem, its actual computation cost is still not practical for industrial applications. In order to minimize these constrains, a simplified two-dimensional steady non-ideal detonation model for cylindrical stick explosives is developed. Based on an ellipsoidal shock shape approach, the proposed model uses the quasi-one dimensional theory for the axial flow solution and combine the post-shock sonic flow criteria with some limiting conditions for the explosives’ unconfined radius determination. Due to its attractive fitting capability for unconfined detonation experimental data, the model offers the possibility to predict the non-ideal detonation state for any diameter, resulting in a full mapping of the diameter-effect curve of the explosive. Thus, the proposed engineering approach is used to model the main properties of some of the most common ammonium nitrate-based explosives used in mining and quarrying industries, including the complete axial flow solution.