Numerical study on spinning detonations

Spinning detonations in both a circular tube and a square tube are presented in order to reveal characteristics of spinning modes by using three-dimensional simulations with a detailed chemical reaction model. The present results show a feature of a single spinning detonation which was discovered in 1926. The shock patterns in both cases are similar except the pressure trail, however, the shock wave angles and the shock wave lengths are shown to be dependent on the cross section configuration of the tube. The pitch angle, the track angle, the Mach stem angle, and the incident shock angle on the tube wall in the numerical results agree well with those in the experimental ones, and they are independent of the compositions of mixture, tube diameters, and initial pressures.