Two-dimensional (2-D) numerical simulations based on the Eulerian–Lagrangian method that take droplet break-up into account are conducted to clarify the mean structure of gaseous detonation laden with a dilute water spray. The premixed mixture is a slightly diluted stoichiometric hydrogen–oxygen mixture at low pressure. The simulated results are analysed via 2-D flow fields and statistical Favre spatiotemporal averaging techniques. Gaseous detonation with water droplets (WD) propagates stably with a velocity decrease compared with the dry Chapman–Jouguet speed. The mean structure of gaseous detonation with dilute water spray shares a similar structure as the one without water spray. However, the hydrodynamic thickness is changed due to the interaction with water spray. Overall interphase exchanges (mass, momentum and energy) that take place within the hydrodynamic thickness induce a decrease of the detonation velocity and lower the level of fluctuations downstream of the mean leading shock wave. Droplet break-up occurs downstream of the induction zone and in our case, the water vapour from the evaporation of water spray does not affect the reactivity of gaseous detonation. The laminar master equation for gaseous detonation laden with inert WD shows that the hydrodynamic thickness should rely on the gaseous sound speed, and works well as the working mixture is weakly unstable and its cellular structure is regular. The droplet flow regimes and break-up modes have also been determined. The characteristic lengths of detonation and interphase exchanges have been ordered under the present simulation conditions and have been shown to be intimately intertwined.

中文翻译：

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稀水喷淋气态爆轰平均结构的数值分析

进行基于欧拉-拉格朗日方法的二维 (2-D) 数值模拟，将液滴破碎考虑在内，以阐明载有稀释水喷雾的气态爆轰的平均结构。预混混合物是在低压下略微稀释的化学计量氢氧混合物。模拟结果通过二维流场和统计法夫尔时空平均技术进行分析。与干燥的 Chapman-Jouguet 速度相比，带有水滴 (WD) 的气态爆轰稳定地传播，速度降低。喷稀水的气态爆轰的平均结构与不喷水的气态爆轰的结构相似。然而，由于与喷水的相互作用，流体动力学厚度发生了变化。整体相间交换（质量，在流体动力学厚度内发生的动量和能量）导致爆轰速度降低并降低平均领先冲击波下游的波动水平。液滴破裂发生在诱导区的下游，在我们的例子中，水喷雾蒸发产生的水蒸气不会影响气态爆炸的反应性。载有惰性WD的气态爆轰层流主方程表明，流体动力学厚度应依赖于气态声速，在工作混合物弱不稳定且其蜂窝结构规则的情况下效果良好。液滴流态和破碎模式也已确定。