Stabilization of Detonation Waves in a Supersonic Flow / Levin V.A., Manuilovich I.S., Markov V.V. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 4. P. 28-33 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 0].

A supersonic flow in a channel of variable cross section is considered in a quasi-one-dimensional approximation in the framework of a model of infinitely thin detonation waves. An analytical method is developed using special coordinates to analyze the conditions for the existence of steady flow behind a detonation wave. On the basis of numerical experiments, it is shown that the detonation wave can be stabilized. A stability analysis of the steady state is performed with respect to small perturbations of heat release. This analysis allows one to make a selection of the emergent flow pattern.

Key words: supersonic flow, detonation, channel, stabilization.