中文摘要：

基于双温度模型和修正的单温度模型，采用基本解方法，对惰性堆积床内甲烷／空气的低速过滤燃烧进行瞬态研究，给出瞬态温度分布，考察不同模型、不同球颗粒直径对燃烧波形状的影响，并对理论模型进行敏感性分析，计算结果表明，双温度模型高估了火焰温度，单温度模型低估了火焰向下游的热输运，气固相间换热项是燃烧过程的主输运项．分别采用基本解方法和特征值方法，对充分发展后的温度分布进行数值计算，两方法的计算结果吻合较好，都能捕捉到一些特征燃烧现象．

英文摘要：

The fundamental solution methods of the two-temperature model and the modified one-temperature model were proposed for transient study of methane-air low-velocity filtration combustion in an inert packed bed. Transient temperature distributions were predicted, and the corresponding sensitivity analyses were performed. Numerical results were compared for different models and different sphere diameters. The results show that the two-temperature model overestimates the flame temperature while the one-temperature model underestimates the downstream diffusion of heat. furthermore, the inter-phase heat transfer is demonstrated to be the dominant heat transfer mechanism. Finally, temperature distributions were also predicted for fully-developed state, based on the fundamental solution method and the eigenvalue method, respectively. The corresponding results of the two different methods both show some interesting combustion characteristics, and the two predictions quite agree with eachother.