Detonation in reactive gaseous mixtures represents a highly nontrivial phenomenon due to the coupling between exothermic chemical reactions and propagation of gas dynamical shocks. In this presentation, the influence of the periodically varying conditions ahead of the detonation wave is analyzed with various tools from dynamical systems theory. It is found that the speed of the wave varies similarly to the forced nonlinear oscillations and its behavior has some universal properties. The effect of mode-locking and appearance of devil’s staircase and Arnold tongues are demonstrated. These results can provide useful insights in fundamental physics and control of the detonation propagation in new types of reactive engines and spraying processes.

Andrei Goldin is a 3rd year PhD student in CMT, Skoltech. He graduated from Novosibirsk State University, Department of Mechanics and Mathematics, in 2019. Under supervision of prof. Kasimov, he studies detonation physics and recent research results can be found in A. R. Kasimov and A. Yu. Goldin, “Resonance and mode locking in gaseous detonation propagation in a periodically non-uniform medium,” Shock Waves, vol. 31, no. 8, pp. 841–849, 2021, doi: 10.1007/ s00193-021-01049-z.