(230e) Ignition of Energetic Material Using a Subscale Frank-Kamenetskii Model with Detailed Chemical Kinetics
AIChE Annual Meeting
2018
2018 AIChE Annual Meeting
Engineering Sciences and Fundamentals
Mathematical Modeling of Transport Processes
Monday, October 29, 2018 - 4:30pm to 4:45pm
We present a subscale model for conductive burning in an explosive material featuring a complex kinetic network. Our approach is based on the Frank-Kamenetskii thermal ignition model, with numerical solutions obtained using the method of weighted residuals, as originally proposed by Bennet et al. [J. Mech. Phys. Solids, 46, 2303, 1998]. The subscale model incorporates localized heating of the solid energetic material due to grain-scale phenomena like frictional heating of small cracks, resulting in ignition. This framework, coupled to a physically-based kinetic model for the reaction, is applied to the problem of conductive burning of octahydro-1,3,5,7-tetranitro-1,3,4,7-tetrazocine. Two distinct burning regimes are observed: 1) a âfast burnâ mode with millisecond time-to-ignition, and 2) a âslow burnâ mode where the material ignites orders of magnitude more slowly. We present data delineating between these regimes, including propagation velocities for the reaction front under varying conditions, and discuss future extensions and applications of this model.