摘要
研究了一般物态方程形式下一维平面和柱、球面对称CJ爆轰波后产物的等熵流动,给出Riemann不变量的表达式、Euler和Lagrange形式的自相似流动方程组,得到一个高精度近似解析解,在实验测量合理的范围内本文理论与实验基本符合。为了具体应用上述理论,给出四种普遍公认的物态方程(γ律、JWL、HOM和W.C.Davis近来提出的形式)的等熵线和声速曲线,以及较一般情形中产物或惰性介质沿等熵线的比内能表达式。四种等熵线差别不大,表明爆轰数值模拟中不但要应用产物的等熵线,还应注意产物能量状态方程是否适当。本文的理论计算方法,可作为产物一维流动数值模拟正确性的有效校核手段。
The one dimensional isentropic flow of detonation products behind CJ front in planar, cylindrical and spherical geometries and with general forms of equation of state (EOS) is considered in this paper, where approximate solutions to the self-similar flow equations in both Eulerian and Lagrangian coordinates are determined and found to be in agreement with the experimental data reasonably. In order to employ the theory mentioned above, the isentropics and the sound speed curves for four forms of detonation products' EOS (γ-law, JWL, HOM and W.C.Davis proposed one) have been calculated. In addition the expression of specific internal energy for inert media as well as the products along the isentropic in general cases is derived. The slight difference among the four isentropics implies that it is insufficient for us to use solely the products' isentropics in numerical simulations of detonation, a proper energetic EOS for detonation products is equally important. The theoretical results here can be employed as an effective method to verify the 1-D numerical simulations for detonation products flow fields.
出处
《爆炸与冲击》
EI
CAS
CSCD
北大核心
2003年第6期481-487,共7页
Explosion and Shock Waves
