The relationship between steady-state detonation velocity, the ratestick diameter and the properties of the confining material are of great interest to industrial mining applications of detonation modelling. Special care is needed when implementing these models as mining explosives are typically non-ideal, heterogeneous materials with large shock front curvatures. This work extends the unconfined, non-ideal ordinary differential equation (ODE) model originally proposed by Chan & Kirby (2006). The model is extended with the introduction of a single-pressure, single-velocity multiphase model to eliminate the use of heuristic thermal closure conditions. The heterogeneities of the non-ideal explosive material are modelled more accurately with the introduction of a void phase in the condensed explosive and the use of arbitrary e(p, v) equations of state for each phase. Furthermore, the empirical expression for radial divergence from thmulsion explosive are compared to direct numerical simulation (DNS) results and the effects of the ae previous ODE model is replaced. Unconfined ratestick results for a non-ideal epproximations made to reduce the system are quantified. Based on this analysis, further improvements for the ODE model are suggested.
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