中文摘要：

针对固体燃料的燃烧、爆轰在火箭发动机和火炸药领域的广泛应用,以铝粉/空气为例,在考虑其化学反应特征的基础上,建立了气固两相管内爆轰三维数学模型,并采用守恒元-求解元方法（CE/SE方法）求解。推导了三维两相含组份变化的雅可比矩阵。在经过编程计算之后,对其结果进行分析。结果表明：无论是采用哪种点火位置,都可以实现稳定爆轰。当采用壁面位置点火时,压力峰值出现的时间总是早于温度峰值出现的时间;当采用中心位置点火时,压力峰值与温度峰值到达的时间一致。计算结果对固体燃料PDE的研究具有一定的指导意义。

英文摘要：

The combustion and detonation of solid fuel are widely used in the field of rocket engine and fire explosive. Aiming at this problem, the aluminum/air was taken for an example. Considering the characteristics of chemical reaction, a three-dimensional mathematical model of gas/solid two-phase detonation in tube was established. The method of conservation element and solution element（CE/SE） was applied to simulate the model. Two-phase three-dimensional Jacobean matrix with components change was deduced. After programming and calculation, the results were analyzed. The calculation results show that both of the ignition modes can achieve stable detonation. The time for peak pressure is always earlier than the time for peak temperature by the way of wall ignition. The time for peak pressure coincides with the time for peak temperature by the way of center ignition.