Abstract
A condition for compatibility between the non-reacted (NR) and detonation products (DP) equations of state (EOS) in a reactive burn model is that the two EOS surfaces in pressure – specific volume – specific internal energy space should not cross. Crossovers can lead to hydrocode calculation failures or non-physical results. The problem is difficult if both EOS are of Mie- Gruneisen form because the Gruneisen Gamma for the NR EOS is generally greater than for the DP EOS, which inevitably leads to a crossover at positive pressures. This work describes a new Generalised Gruneisen form for an NR EOS, in which Gruneisen Gamma (ρ) varies with entropy as well as specific volume (v). The variation of ρ is controlled by a parameter 8, which is chosen to ensure that the two EOS surfaces do not cross for all v. The current CREST EOS for PBX 9501 has been modified to have a Generalised Gruneisen NR EOS, coupled with a DP EOS that has a plausible gradient of detonation velocity with initial density. Preliminary results are presented for shock initiation and detonation size effect using the new reactive burn model without re- calibrating of the current reaction rate.
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