Reactive Burgers model for detonation propagation in a non-uniform medium

In this work we analyze, within the framework of the reactive Burgers model (Kasimov et al., 2013), the propagation of detonation in a periodically varying medium. We investigate the role of the amplitude and the wavelength of the variations on the dynamics of both stable and unstable detonations. It is found that: (1) the periodic upstream can lead to the amplification of the detonation oscillations, i.e., there is a resonance, and (2) the detonation dynamics exhibits mode locking whereby the dynamics is “enslaved” by the upstream variations.