Determination of the critical size of a particle cloud necessary for suppression of gas detonation

Conditions of detonation suppression by inserting inert particles into a reacting gas mixture through which a detonation wave propagates are considered. The pattern of the detonation flow and the scenario of its suppression are determined. The minimum length of the particle cloud that completely suppresses the detonation wave is calculated. The influence of the volume fraction of particles in the cloud on the detonation suppression efficiency is studied. The governing parameter is found to be the length of the cloud that ensures quenching of the ignition/combustion wave formed during detonation wave decomposition rather than the particle mass and the gradient of the volume fraction of particles. It is demonstrated that this length is approximately identical for different distributions of the volume fraction of particles in the cloud.