Simulation of Linear Dynamics of Rotating Continuous Detonation Waves in a Flat-Radial Annular Combustion Chamber

In the given work, the simulation and detection of features of incipient (linear) stage of rotating transverse detonation waves evolution in a flat-radial annular combustion chamber was carried out. Arising at this stage the problem of linear modal stability of cylindrical flame front in radially divergent subsonic flow with small Mach number was solved. Quasi-natural frequencies and analytical expressions of acoustic oscillations and waves were obtained. The existence of rotating circumferential waves of perturbation of flame front with a finite number of local loops was shown. The mechanics of circumferential waves of instability was investigated; rotation velocities and time growth rates of amplitude of these waves were obtained. It is discovered that rotation velocities of circumferential waves of flame front perturbation may be higher than sonic speed in reaction products and may be close to it.