This paper presents a combustion model of a nano-aluminum-air (nAl-air) suspension. The special feature of the model is performing a local mathematical model of the oxidant diffusion through an aluminum oxide layer on the particle surface taking into account the aluminum-oxidant reaction to simulate the combustion of nano-size aluminum (nAl) particles. The oxidation rate of the aluminum particles and the associated with this process the rate of heat release are determined from the solution of the local combustion problems for the entire set of nAl particles in the suspension. To obtain the suspension state parameters we solve the equation system, which includes the energy conservation equations for the gas and particles, the mass-conservation equation for the gas-dispersed mixture and the motion equations for the gas and particles controlling for the particle velocity lag. The model considers gas expansion and thus gas and particle motion. The developed model does not require setting the ignition temperature of nAl particles. The study provides the calculated propagation rate of the combustion front in the nAl-air suspension depending on the nAl mass concentration and on the initial temperature of the suspension.

中文翻译：

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纳米铝-空气悬架的数学燃烧模型

本文介绍了纳米铝空气 (nAl-air) 悬浮液的燃烧模型。该模型的特点是通过颗粒表面的氧化铝层执行氧化剂扩散的局部数学模型，同时考虑到铝-氧化剂反应，以模拟纳米尺寸铝 (nAl) 颗粒的燃烧。铝颗粒的氧化速率和与该过程相关的热释放速率由悬浮液中整个 nAl 颗粒组的局部燃烧问题的解决方案确定。为了获得悬浮状态参数，我们求解方程组，其中包括气体和粒子的能量守恒方程，气体分散混合物的质量守恒方程和控制粒子速度滞后的气体和粒子的运动方程。该模型考虑了气体膨胀以及气体和粒子运动。开发的模型不需要设置 nAl 粒子的着火温度。该研究根据 nAl 质量浓度和悬浮液的初始温度提供了 nAl-空气悬浮液中燃烧前沿的计算传播速率。