Highly non-ideal explosives usually tend to react expressively below their ideal detonation velocities. Inthese cases, dimensional effects and product heterogeneities become important to proper model thedetonation state. Although Direct Numerical Simulation (DNS) techniques can provide a complete andexact solution for this problem, its actual computation cost is still not practical for industrialapplications. In order to minimize these constrains, a simplified two-dimensional steady non-idealdetonation model for cylindrical stick explosives is developed. Based on an ellipsoidal shock shapeapproach, the proposed model uses the quasi-one-dimensional theory for the axial flow solution andcombine the post-shock sonic flow criteria with some limiting conditions for the explosives’ unconfinedradius 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 afull mapping of the diameter-effect curve of the explosive. Thus, the proposed engineering approach isused to model the main properties of some of the most common ammonium nitrate-based explosivesused in mining and quarrying industries, including the complete axial flow solution.
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