Calibrating the BKW-EOS with a large product species data base and measured C-J properties

TLDR

The Becker‑Kistiakowsky‑Wilson equation of state was calibrated across a wide initial density range near Chapman‑Jouguet states using detonation data from 62 explosives at 111 densities. Co‑volume factors were assumed invariant, and the model was evaluated against measured detonation properties of 91 explosives comprising 147 densities of various elements. The calibrated constants were α = 0.5, β = 0.298, κ = 10.5, θ = 6620, yielding adequate agreement overall, with exceptions for high‑Al, nitrate, barium, silicon, tetranitromethane, and lead styphnate explosives that could be better predicted by adjusting β, κ, or assuming partial equilibrium. The paper includes 5 tables, 3 figures, and 19 references.

Abstract

The Becker-Kistiakowsky-Wilson equation of state (BKW-EOS) has been calibrated over a wide initial density range near C-J states using measured detonation velocities, pressures and temperatures from 62 explosives at 111 total initial densities. Values for the empirical BKW constants [alpha], [beta], [kappa], and [theta], were 0.5, 0.298, 10.5, and 6620, respectively. Values for the co-volume factors k[sub i], were assumed to be invariant. Model evaluation includes comparison to measured detonation properties from 91 explosives composed of combinations of Al, B, Ba, C, Ca, Cl, F, H, N, O, P, Pb, and Si at 147 total initial densities. Adequate agreement between predictions and measurements were obtained with a few exceptions. The exceptions were explosives which contained large amounts of aluminum, ammonium nitrate, barium nitrate, and silicon, as well as tetranitromethane and lead styphnate. However, detonation properties for the aluminum and nitrate containing explosives can be predicted adequately by assuming partial equilibrium. The performance of explosives containing large amounts of silicon can be predicted adequately by changing [beta] from 0.298 to 0.249. Performance of tetranitromethane and lead styphnate can also be predicted by adjusting [beta] and/or [kappa] slightly. 5 tabs, 3 figs, 19 refs.