In this work, a quasi-one-dimensional ZND model of detonation considering the expansion process perpendicular to the detonation propagation direction is extended to the rotating detonation engine (RDE) to investigate the influence of expansion on the detonation waves in RDEs. This model is first used in more general cases of one-dimensional detonation waves, coupled with the one- and two-step kinetic models for stoichiometric hydrogen-air mixtures. The expansion has an effect on reducing the detonation propagation speed and can be attributed to two factors: the extra work during expansion and the lost heat released behind the sonic point. The one that plays the more important role depends on the kinetic model. Finally, a set of numerical simulations of RDEs are performed for comparison with the theoretical model. The results show that the expansion process in RDEs reduces the speed of the detonation wave by approximately 5%, which is an important factor for the detonation velocity deficit in two-dimensional simulations.

中文翻译：

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膨胀对旋转爆轰波速度赤字的影响的解析和数值研究

在这项工作中，考虑垂直于爆震传播方向的膨胀过程的爆震准一维 ZND 模型被扩展到旋转爆震发动机（RDE），以研究膨胀对 RDE 中爆震波的影响。该模型首先用于更一般的一维爆震波情况，并结合化学计量氢-空气混合物的一步和两步动力学模型。膨胀对降低爆轰传播速度有影响，可归因于两个因素：膨胀期间的额外功和声波点后面释放的热量损失。扮演更重要角色的那个取决于动力学模型。最后，对 RDE 进行了一组数值模拟，以与理论模型进行比较。