Interaction of cellular detonation in inhomogeneous (in terms of concentrations) gas suspensions of aluminum particles with clouds of inert particles

The processes of attenuation and suppression of detonation in gas suspensions of aluminum particles by extended clouds of inert particles are studied on the basis of numerical simulations of two-dimensional flows. The normalized detonation velocity is found as a function of the concentration of inert particles. The conditions of detonation failure are determined for non-stoichiometric mixtures with oxygen and for the case with concentration gradients across the channel. It is demonstrated that a one-dimensional approach has certain limitations in determining the detonation failure criteria because transverse waves of cellular detonation favor its reinitiation. Sufficient conditions of detonation suppression for 1-$\mu$m particles are determined.