研究平面爆轰波爆轰化学能和状态方程之间的关系,得到平面爆轰波关系式和CJ条件.基于柱坐标系下的一维流体力学方程组,采用坐标变换方法得到含曲率的爆轰波关系式及广义声速条件.在反应区内采用压力平衡和温度平衡的混合规则,在给定的复杂状态方程和复杂反应率下求解,得到PBX9404和PBX9502炸药的爆速和曲率的关系.已知炸药的基本实验数据时,本文的方法可用于研究和调整反应率以及状态方程的参数.
We study relation of chemical energy and equation of state of plane detonation,and obtain the plane detonation shock equations and CJ conditons.Detonation relations depending on curvature are gained with coordinate transformations of one-dimensional cylindrincal fluid dynamics equations.And at the same time we get a general sonic condition.Based on pressure and temperature equillibrium in reaction zone,we get relations between velocity of detonation and curvature of PBX9404 and PBX9502 as equations of state of products and reactants and reaction rates are known.As experiment data of explosive are known,the method can be used to adjust parameters of equations of state and reaction rates.