Mathematical Model and Numerical Simulation of Two-Phase Flow Interior Ballistics of Variable Burning-Rate Propellant
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摘要: 为了更好地描述变燃速发射药的膛内燃烧及内弹道过程，对中心开孔式双层结构的变燃速发射药建立了一维两相流内弹道数学模型，在30 mm火炮装填条件下采用二阶精度的Lax-Wendroff差分格式进行计算，得到了数值解。计算结果表明：膛内压力和炮口初速度变化曲线的计算值与实测值符合较好，说明此两相流内弹道模型可以准确地反映变燃速发射药的内弹道过程；变燃速发射药可以有效地减少膛内压力波的产生，对于安全射击具有重要意义。通过对气、固相速度及膛内压力波等计算参数进行分析，可以对变燃速发射药的内弹道过程研究起指导作用。Abstract: In order to describe the combustion and interior ballistics processes of variable burning-rate propellant more accurately, the model of two-phase flow interior ballistics of variable burning-rate propellant is established, which consists of one center hole and double layers. In the charge condition of 30 mm cannon, Lax-Wendroff difference scheme with second order accuracy is used to get the numerical solutions of the model. The pressure and velocity profiles calculated are in good accordance with the actual ones. Therefore this numerical model can truly and accurately reflect the real physical process of interior ballistics. The simulation results show that it is very effective to restrain the pressure waves in the bore of variable burning-rate propellant, which is great benefit for fire safety. The analysis of the calculation parameters, such as phase velocity and bore pressure, plays a guiding role in the further research of the interior ballistics process of variable burning-rate propellant.
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