Rotating detonation engines (RDEs) have been observed to exhibit several operating modes and instabilities under different operation conditions (reactant mixture, injection pressure, engine geometry, injection mass flow rate, etc.). We develop the simplest model possible describing the operation of an RDE. This model takes into account the dependence of detonation properties on engine conditions, the injection process, and the geometric constraints. Using this model, we predict the lowest allowable reactant injection rates that allow an RDE to operate with a single detonation wave propagating in the annular combustion chamber. This model is compared with experimental results of engines running on H\({}_2\)/O\({}_2\) and C\({}_2\)H\({}_4\)/O\({}_2\).

已经观察到旋转爆震发动机 (RDE) 在不同的运行条件（反应物混合物、喷射压力、发动机几何形状、喷射质量流量等）下表现出多种运行模式和不稳定性。我们开发了最简单的模型来描述 RDE 的操作。该模型考虑了爆震特性对发动机条件、喷射过程和几何约束的依赖性。使用该模型，我们预测了允许 RDE 以在环形燃烧室中传播的单个爆震波运行的最低允许反应物注入率。该模型与运行在 H \({}_2\) /O \({}_2\)和 C \({}_2\) H \({}_4\)上的发动机的实验结果进行了比较/O \({}_2\)。