非理想气体作用下圆柱和球形shock waves强内爆的冲击动力学
Shock dynamics of strong imploding cylindrical and spherical shock waves with non-ideal gas effects
摘要：
本文利用几何激波动力学理论，得到了非理想气体中强内爆激波后的一维绝热流动的广义解析解。本文利用Landau和Lifshitz给出的非理想气体状态方程和Anand导出的广义激波跳跃关系，研究了（i）距会聚中心的传播距离、（ii）非理想性参数和（iii）绝热指数的增加对激波速度、压力、密度、粒子速度、声速、绝热压缩性和激波前沿熵的变化。研究结果为非理想性参数和绝热指数是否以及如何影响强内爆激波阵面后的流场提供了清晰的图像。
英文摘要：
In this paper, the generalized analytical solution for one dimensional adiabatic flow behind the strong imploding shock waves propagating in a non-ideal gas is obtained by using the geometrical shock dynamics theory. The equation of state for non-ideal gas as given by Landau and Lifshitz and the generalized shock jump relations derived by Anand are taken into consideration to explore the effects due to an increase in (i) the propagation distance from the centre of convergence, (ii) the non-idealness parameter and, (iii) the adiabatic index, on the shock velocity, pressure, density, particle velocity, sound speed, adiabatic compressibility and the change in entropy across the shock front. The findings provided a clear picture of whether and how the non-idealness parameter and the adiabatic index affect the flow field behind the strong imploding shock front.
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