本文对以往燃烧转爆轰数学模型进行了评价.根据现代高性能火炮密实装药的特点,建立了能描述燃烧转爆轰(DDT)现象的一维反应两相流数学模型.其改进包括:考虑火药的可压缩性;提出了与DDT过程相适应的临界点火着火判据;利用熵不等式导出固相体积分数守恒方程;建立了颗粒守恒方程;引进了适合高压的非理想气体状态方程.最后给出了算例. In this paper, the mathematical model of combustion-to-detonation transition was evaluated.According to the characteristics of dense charge of modern high-performance artillery, a one-dimensional two-phase flow mathematical model describing combustion-to-detonation detonation (DDT) Considering the compressibility of gunpowder, a critical fire ignition criterion is put forward which is suitable for DDT process. The conservation equation of volume fraction of solid phase is deduced by using entropy inequality. The particle conservation equation is established and the equation of state of non-ideal gas for high pressure is introduced. An example is given.