Cellular detonation flows in bi-disperse oxygen suspensions of micron-, submicron-, and nano-sized aluminum particles are studied numerically on the basis of the semiempirical model of detonation. The transition from diffusion-limited combustion of micron-sized particles to the kinetic combustion regime of nano-sized aluminum particles is taken into account. The influence of the particle size and the mass fraction composition on the cellular detonation structure is analyzed. In micron- and submicron-sized bi-disperse mixtures, a degeneration of the cellular structure, with weakening and disappearance of the transverse waves, is observed for intermediate values of the mass fraction ratio. In bi-disperse mixtures of micron- and nano-sized particles, a gradual change in the detonation cell size and maximal pressure values with a variation of the mass fraction ratio is obtained. The numerical results are confirmed by acoustic analysis on the basis of Barthel’s method, which predicts the existence or absence of a regular system of transverse waves.

中文翻译：

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微米和纳米尺寸铝颗粒双分散气体悬浮液中的细胞爆炸传播和退化

基于爆轰的半经验模型，对微米、亚微米和纳米尺寸铝颗粒的双分散氧悬浮液中的细胞爆轰流动进行了数值研究。考虑了从微米尺寸颗粒的扩散限制燃烧到纳米尺寸铝颗粒的动力学燃烧状态的转变。分析了颗粒尺寸和质量分数组成对细胞爆炸结构的影响。在微米和亚微米尺寸的双分散混合物中，对于质量分数比的中间值，观察到细胞结构退化，横波减弱和消失。在微米级和纳米级颗粒的双分散混合物中，获得了随着质量分数比的变化，爆震室尺寸和最大压力值的逐渐变化。数值结果通过基于 Barthel 方法的声学分析得到证实，该方法预测横波规则系统的存在或不存在。