研究爆速直径效应的爆轰冲击波动力学方法

利用爆轰冲击波动力学（ＤＳＤ）的广义几何光学模型，得到了圆杆药柱中拟定态二维爆轰波阵面形状的解析解。在两步反应模型假定下建立了ＤＳＤ的边界条件，用爆速亏损表示阵面上炸药未反应分数，就可得到渐近爆速与药柱直径的关系，即得到计算爆速直径效应的模型。本文模型的实际意义是利用直径效应已有的大量实验数据，给定ＤＳＤ方法所需要的、又难以实验测定的各种常用炸药的爆速曲率常数（ｄＤｎ／ｄ）０，以及渐近状态下爆轰波与药柱边界的夹角。

A DETONATION SHOCK DYNAMICS APPROACH TO THE DIAMETER EFFECT OF EXPLOSIVE STICKS

An analytical solution for the quasi steady two dimensional detonation front in explosive sticks has been proposed in this paper with the generalized geometrical optics model of detonation shock dynamics(DSD).The boundary conditions for DSD are determined on the assumption that a two step reaction occurs in explosive on the edge of the detonation front .Expressing the unreacted explosive fraction just behind the edge of the detonation front as a function of the detonation velocity defect of the explosive stick,we obtain a relation between the asymptotic detonation velocity and the stick diameter,i.e.,a model for the diameter effect.Since there are many experimental data available,this model can be employed to evaluate the curvature coefficient of the detonation velocity and the angle of the asymptotic detonation front with the stick edge,they are important in the DSD calculation and difficult to be measured.