Study on Dynamic Mechanism of Cellular Structure

In this paper, the regular detonation cells were divided into the primary units, referred to as sub-cells of cellular detonation. By examining the dynamic process of detonation waves propagating along these sub-cells, theoretical analysis was conducted to study the dynamic mechanism of the two-dimensional idealized detonation waves in gaseous mixtures. Based on the theory of oblique shock waves, a analytical formula was derived to describe the relation between the Mach number ratio through triple-shock collision and the geometric properties of detonation cell. From this formula the incident angle can be also calculated. By applying a modified blast wave theory, and analytical model was developed to predict the dynamic process of detonation waves along the sub-cell. The results calculated from the analytical model show that detonation waves are, first, strengthened at the beginning of the sub-cell after triple-shock collisions, and then decay until the detonation waves reach the sub-cell end. These analytical results were compared with experimental data and previous numerical results, the agreement between them appears to be good, in general.