Reflection behavior of insensitive explosive detonation propagating around a cylinder

Insensitive explosive detonation has wide applications in compressing and driving inert materials, and thereby the interaction between detonation and inert materials has received more attention. In this paper, a two-dimensional numerical simulation based on the Euler multiphase flow framework is used to investigate the reflection behavior of the insensitive explosive detonation propagating around a cylinder. The results show that there is a critical incident angle, defined as transition angle for detonation propagating around the cylinder, below which the regular reflection (RR) on the cylinder surface is observed. When the incident angle is greater than the transition angle, RR changes to Mach reflection. This transition angle is larger than that obtained by polar curve theory and the change of incident angle is used to interpret above phenomenon. In addition, the influence of cylindrical radius and detonation reaction zone width on the reflection behavior is examined. As the cylindrical radius increases, the height of Mach stem increases while the transition angle decreases and gradually approaches the value in pole curve theory. Von Neumann reflection is observed when the reaction zone width is relatively small. This is because the energy release rate in the reaction zone is high for small reaction zone width, resulting in the formation of a series of compression waves near the cylindrical interface.