影响气相爆轰波稳定性边界的通用两步反应模型参数分析

Parameter Analysis of a Generic Two-step Reaction Model Affecting the Stability Boundary of Gaseous Detonation Wave

为了建立可靠的爆炸预测和分析模型,采用两步诱导-放热反应模型,数值模拟了不同参数条件下的一维爆轰波振荡过程。通过分析各参数与爆轰波面压力振荡模态的关系,寻找稳定振荡模态对应的临界参数,获得了由诱导区活化能EI、放热区活化能ER和反应速率常数kR构造的一维爆轰波稳定性边界。计算结果表明:增大EI和kR,或减小ER,会促进一维爆轰波向不稳定发展;对于给定的EI,稳定性边界对应的ER越大,与之匹配的kR也越大;在合理的参数范围内,EI越大,ER和kR满足一维爆轰波稳定的取值范围越小;EI在15.25~20.25区间内,稳定性边界对kR的变化比较敏感;EI在20.25~25.25区间内,稳定性边界对kR的敏感程度大大降低。研究获得的稳定性边界,可为将来利用两步反应模型研究多维爆轰波稳定性的参数选择提供参考,据此建立的爆炸预测模型,可以应用于爆炸现场分析及还原,爆炸物销毁现场方案制定和风险评估,搜排爆防护装备的研发改进,以及隔爆抑爆技术研究等领域。

In order to establish a reliable model to predict and analyze the explosion,the oscillation process of one-dimensional detonation wave under different chemical parameters is numerically simulated using a two-step induced-exothermic reaction model.The critical values of stable modes are found by analyzing the relationship between chemical parameters and oscillation modes.A series of computations is carried out to obtain the one-dimensional detonation wave stability boundary,which is consisting of induced activation energy EI,exothermic activation energy ER,and reaction rate constant kR.The results shows that:The one-dimensional detonation wave tends to be unstable with increasing EI and kR or decreasing ER;For a given EI,the larger the ER corresponding to the stability boundary,the larger the kR that matches it;Within a reasonable parameter range,the larger the EI,the smaller the range of values for ER and kR that satisfy the stability of a one-dimensional detonation wave;The stability boundary is more sensitive to changes in kR in the range of 15.25≤EI≤20.25,and the sensitivity of the stability boundary to kR is greatly reduced in the range of 20.25≤EI≤25.25.The stability boundary obtained from the study can provide a reference for the parameter selection of multi-dimensional detonation wave stability research using a two-step reaction model in the future.The explosion prediction model established based on this can be applied to the analysis and reconstruction of explosion sites,field planning and risk assessment of explosives destruction,research and development of explosion protection equipment,and research on explosion-proof and explosion suppression technologies.