Calculation of linear detonation instability: one-dimensional instability of plane detonation
Calculation of linear detonation instability: one-dimensional instability of plane detonation
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DOI：
10.1017/s0022112090000362
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发表时间：
1990-07
影响因子：
3.7
通讯作者：
H. Lee;D. Stewart
中科院分区：
文献类型：
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作者：
H. Lee;D. Stewart
采用正态方法研究了爆轰稳定性问题，与Erpenbeck的拉普拉斯变换方法相比，该方法大大简化了爆轰线性不稳定性的计算。对于任意参数集，求解方法是一种射击方法，可以自动生成所需的不稳定性信息。在反应区末端施加扰动的条件可以解释为有界条件或声辐射条件。给出了连续的和数值精确的中性稳定性曲线和边界，并首次计算了增长率和特征函数。我们的计算包括Chapman-Jouguet （CJ）案例，它没有特别的困难。我们给出了爆轰模型的代表性结果，并总结了在参数空间中的一维稳定性行为。给出了不稳定离散谱的中性稳定边界和近似，并与前人的结果进行了比较。给出了不稳定、离散谱对活化能和超速因子的依赖的参数化研究，并对解释实验中观察到的不稳定的物理机制具有启示意义。这第一篇论文仅限于一维线性不稳定性的情况。横向扰动的扩展将在后续中讨论。
The detonation stability problem is studied by a normal mode approach which greatly simplifies the calculation of linear instability of detonation in contrast to the Laplace transform procedure used by Erpenbeck. The method of solution, for an arbitrary parameter set, is a shooting method which can be automated to generate easily the required information about instability. The condition on the perturbations applied at the end of the reaction zone is shown to be interpreted as either a boundedness condition or an acoustic radiation condition. Continuous and numerically exact neutral stability curves and boundaries are given as well as growth rates and eigenfunctions which are calculated for the first time. Our calculations include the Chapman–Jouguet (CJ) case which presents no special difficulty. We give representative results for our detonation model and summarize the one-dimensional stability behaviour in parameter space. Comparison with previous results for the neutral stability boundaries and approximations to the unstable discrete spectrum are given. Parametric studies of the unstable, discrete spectrum's dependence on the activation energy and the overdrive factor are given with the implications for interpreting the physical mechanism of instability observed in experiments. This first paper is restricted to the case of one-dimensional linear instability. Extensions to transverse disturbances will be treated in a sequel.