The superadiabatic combustion for non-stationary filtration combustion is analytically studied. The non-dimensional excess enthalpy function (H) equation is theoretically derived based on a one-dimensional, two-temperature model. In contrast to the H equation for the stationary filtration combustion, a new term, which takes into account the effect of non-dimensional combustion wave speed, is included in the H equation for transient filtration combustion. The governing equations with boundary conditions are solved by commercial software Fluent. The predictions show that the maximum non-dimensional gas and solid temperatures in the flame zone are greater than 3 for equivalence ratio of 0.15. An examination of the four source terms in the H equation indicates that the thermal conductivity ratio $({\mathit{\Gamma }}_s)$ between the solid and gas phases is the dominant one among the four terms and basically determines H distribution. For lean premixed combustion in porous media, the superadiabatic combustion effect is more pronounced for the lower ${\mathit{\Gamma }}_s$.

对非稳态过滤燃烧的超绝热燃烧进行了分析研究。无量纲过剩焓函数 ( H ) 方程是基于一维、两温度模型从理论上推导出来的。与稳态过滤燃烧的H方程相比，瞬态过滤燃烧的H方程中增加了一个考虑无量纲燃烧波速影响的新项。带有边界条件的控制方程由商业软件Fluent 求解。预测表明，当当量比为 0.15 时，火焰区的最大无量纲气体和固体温度大于 3。对H方程中四个源项的检查表明，热导率比$<span\; data-immersive-translate-walked="5283974e-d4f4-48f6-bf18-f8ee08c0510c">(</span>{\mathit{<span\; data-immersive-translate-walked="5283974e-d4f4-48f6-bf18-f8ee08c0510c">\gamma </span>}}_{\mathrm{<span\; data-immersive-translate-walked="5283974e-d4f4-48f6-bf18-f8ee08c0510c">s</span>}}<span\; data-immersive-translate-walked="5283974e-d4f4-48f6-bf18-f8ee08c0510c">）</span>$固相和气相之间的关系是这四项中占主导地位的一项，基本上决定了H 的分布。对于多孔介质中的稀薄预混燃烧，超绝热燃烧效应在较低温度下更为明显。${\mathit{<span\; data-immersive-translate-walked="5283974e-d4f4-48f6-bf18-f8ee08c0510c">\gamma </span>}}_{\mathrm{<span\; data-immersive-translate-walked="5283974e-d4f4-48f6-bf18-f8ee08c0510c">s</span>}}$ 。