Deformable wall effects on the detonation of combustible gas mixture in a thin-walled tube

Abstract

We present a multi-material numerical investigation on the propagation of combustible gas mixture detonation in thin-walled metal tubes. We use experimentally tuned one step Arrhenius chemical reaction and an ideal gas equation of state (EOS) to describe the stoichiometric H2–O2 and C2H4–O2 detonations. Purely plastic deformations of copper and stainless steel tubes are modeled by the Mie–Gruneisen EOS and the Johnson–Cook strength model. To precisely track the interface motion between the detonating gas and the deforming wall, we use the hybrid particle level-sets within the ghost fluid framework. The calculated results are compared with the theory and validated against the experimental data. The results on thin-walled tube response explain the process of generation and subsequent interaction of the expansion waves along the tube wall that may further complicate the detonative loading conditions within the tube.