Propagation of a formed detonation wave in a plane supersonic flow of stoichiometrical hydrogen-air mixture is numerically studied with the purpose of determination of conditions providing the stabilization of a detonation wave in the gas flow. The possibility of detonation wave stabilization in the supersonic flow of combustible gas mixture by means of weak electrical discharges is shown. The influence of the energy of the discharges, their actuation time and their location is investigated. The possibility of stabilization of the detonation wave in the plane channel with variable cross-section area is also considered.
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