Abstract
The possibility of the formation of the stationary Shock Wave (SW) and Detonation Wave (DW) in a variable cross section channel with the hydrogen–air and hydrogen–oxygen mixtures in a quasi-one-dimensional non-stationary formulation is investigated. The channel has a form of two successively arranged Laval nozzles. A comparative analysis of the solutions in stationary equilibrium, stationary frozen, non-stationary frozen, and non-stationary non-equilibrium formulations is presented. Equilibrium initial approximation was proposed for non-equilibrium flows modeling. Configurations of variable cross section channel with a stationary (detonation) wave in the first expanded area are obtained. It is shown that non-equilibrium stationary solutions in the first narrowing part of a dual Laval nozzle channel are unstable, and non-equilibrium stationary solutions in the second expanded part are unstable too, but they stabilize in the first one. The range of flow rates, at which a stationary detonation wave exists, can be predicted with a high degree of accuracy by the equilibrium stationary theory.
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