A physical and mathematical model of the reduced kinetics is presented describing heterogeneous detonation in suspensions non-uniform in particle concentration. The model is based on the heterogeneous media approaches, semi-empirical laws of ignition and combustion, and data on the dependence of the detonation velocity on particle concentration. Formation of suboxides and incomplete combustion of aluminum are taken into account integrally. The dependence of the heat release of chemical reactions and the fraction of unburnt particles on the initial composition is determined from the solution of the stationary problem of the structure of the detonation wave. In the calculations of unsteady detonation flows, it is supposed to solve an additional equation for the spatial distribution of initial concentrations. The problems of initiation and development of cellular detonation in flat channels in suspensions of micron-sized aluminum particles are studied. Dependences of the cell size on particle concentration in uniform suspensions are determined. The flow patterns of cellular structures, the forms of the leading front, and the propagation velocities in channels with longitudinal or transversal gradients of particle concentration are analyzed.

提出了降低动力学的物理和数学模型，该模型描述了颗粒浓度不均匀的悬浮液中的异质爆轰。该模型基于异质介质方法，点火和燃烧的半经验定律以及爆轰速度对颗粒浓度的依赖性数据。整体考虑了亚氧化物的形成和铝的不完全燃烧。化学反应的放热和未燃烧颗粒的分数对初始组成的依赖性是由爆轰波结构的平稳问题的解决方案确定的。在非稳态爆轰流的计算中，应该为初始浓度的空间分布求解一个附加方程。研究了微米级铝颗粒悬浮液中扁平通道中细胞爆炸的引发和发展问题。确定细胞大小对均匀悬浮液中颗粒浓度的依赖性。分析了细胞结构的流动模式，前锋的形式以及颗粒浓度呈纵向或横向梯度的通道中的传播速度。