【摘要】 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.更多还原

【Abstract】 In this paper,a mathematical model is presented which describes thedeflagration to detonation transition (DDT) in highly loaded reactive granular materials.The model is based on the continuum theory of mixtures formulated including thecompressibility of all phases and the compaction behavior of the granular beds.By re-quiring the model to satisfy an entropy inequality,an conservation equation for solidvolumn fraction is deduced.In terms of the characteristic of DDT processes,a new igni-tion criterion of critical energy and a real gas equation of state are adopted.In addition,this model include conservation equation of number which describes the evolution ofparticle radius.Previous two—phase particle burning detonation models do not explicitlyenforce number conservation.Finally,the model is applied to describe the combustionprocesses associated with DDT in a pressed column of HMX.Numerical results,usingMaccormack scheme,are obtained for a representative column of length 36 mm packedto a 68% density with an average grain size of 200 μm.The convective burning rate,detonation velocity,and detonation run—up distance predicted by the computer code ??compare favorably with experimental data.更多还原