Three-dimensional numerical simulation of heterogeneous spin detonation in the $\mathrm{Al}/\mathrm{O}_2$ gas suspension in channels with a circular cross section

Three-dimensional numerical simulation of a detonation wave propagating in a circular tube filled with a gas suspension of aluminum particles in oxygen is performed with the use of the HyCFS-R code developed by the authors for modeling on hybrid computational systems. The regime of propagation with a single-head spin is reproduced. It is shown that combustion occurs in a certain localized front zone rotating during front propagation, which is typical for spin detonation in both purely gaseous mixtures and heterogeneous media. Data on the basic parameters of detonation wave propagation in a gas suspension of aluminum particles in the spin detonation mode are obtained. Comparisons with theoretical predictions and with numerical and experimental results of other researchers are performed.