Shock temperature dependent rate law for plastic bonded explosives

TLDR

The study presents a reactive flow model for the PBX 9502 plastic bonded explosive composed of 95 % TATB and 5 % Kel‑F 800 binder. The model, termed AWSD, incorporates shock temperature and local pressure dependence with Arrhenius state dependence, uses the WSD equation‑of‑state framework, and can be implemented by modifying the existing WSD hydrocode with a single parameter set. It accurately predicts detonation and initiation behavior across a wide range of scenarios, naturally capturing sensitivity to initial explosive temperature. References include Wescott et al., J.

Abstract

A reactive flow model for the tri-amino-tri-nitro-benzene (TATB) based plastic bonded explosive PBX 9502 (95% TATB, 5% polymeric binder Kel-F 800) is presented. This newly devised model is based primarily on the shock temperature of the material, along with local pressure, and accurately models a broader range of detonation and initiation scenarios. Specifically, sensitivity changes to the initial explosive temperature are accounted for naturally and with a single set of parameters. The equation of state forms for the reactants and products, as well as the thermodynamic closure of pressure and temperature equilibration, are carried over from the Wescott-Stewart-Davis (WSD) model [Wescott et al., J. Appl. Phys. 98, 053514 (2005) and “Modeling detonation diffraction and dead zones in PBX-9502,” in Proceedings of the Thirteenth International Detonation Symposium (2006)]. This newly devised model, with Arrhenius state dependence on the shock temperature, based on the WSD equation of states, is denoted by AWSD. Modifying an existing implementation of the WSD model to the AWSD model in a hydrocode is a rather straightforward procedure.