金属约束下定常非理想爆轰的理论研究

A theoretical study on steady non-ideal detonation with metal confinement

为了对金属约束条件下的定常非理想爆轰进行理论研究,对未反应炸药和爆轰产物采用JWL形式状态方程,对金属采用p(ρ,T)形式状态方程。采用过爆轰前导冲击波的流线偏转角在影响域内沿高度线性变化的假设,并且由未反应炸药和金属的冲击波极曲线的交点确定爆轰冲击边缘角,则可从未反应炸药斜冲击波极曲线关系式求出爆轰前导冲击波阵面的形状。采用爆轰前导冲击波阵面之后的流线是直线的假设,则爆轰流动控制方程由偏微分方程变为沿流线的常微分方程,沿着所有流线求解便给出爆轰化学反应区内声速线与化学反应结束线的位置。理论分析同时给出约束金属折射冲击波后面的流体的流动状态。理论结果给出的爆轰化学反应区结构特征和约束金属内的流动状态特征与高精度数值模拟的结果符合良好,说明本文中给出的理论方法具有良好的合理性和适用性。

To analyze the steady non-ideal detonation with metal confinement,the JWL equation of state is adopted for the unreacted explosive and detonation product,and the p（ρ,T） equation of state for the metal.And the three-term Lee-Tarver reaction rate is adopted in the chemical reaction model.Based on the hypothesis that the deflect angle of the flow crossing the leading shock wave is linear with height,the shape of the leading shock wave can be obtained from the polar curve,and detonation edge angle may be obtained from the marching point between the polar curves of the unreacted explosive and the metal.Based on the hypothesis that the streamlines behind the leading shock wave are straight and diverging,the governing equations of detonation will change from the partial differential type into the ordinary differential type,then the locations of the sonic line and the end of chemistry reaction can be obtained through solving the ordinary differentia equations along the streamlines.The polar curves of the shocked metal show that the flows behind the refraction shock may be supersonic with the hard compressibility,or subsonic with the easy compressibility.The theory results about the structure character of the detonation reaction zone and the flow state inside the confinement metal agrees with the high precision numerical simulation.