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On dynamics of imploding shock waves in a mixture of gas and dust particles

机译：气体和粉尘颗粒混合物中爆炸冲击波的动力学

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In this paper, the generalized analytical solutions for one-dimensional adiabatic flow behind the imploding shock waves propagating in a dusty gas are obtained using the geometrical shock dynamics theory. The dusty gas is assumed to be a mixture of a perfect gas and spherically small solid particles, in which solid particles are continuously distributed. Anand's shock jump relations for a dusty gas are taken into consideration to explore the effects due to an increase in (ⅰ) the propagation distance from the centre of convergence, (ⅱ) the mass fraction of solid particles in the mixture and (ⅲ) the ratio of the density of solid particles to the initial density of the gas, on the shock velocity, pressure, temperature, density, velocity of mixture, speed of sound, adiabatic compressibility of mixture and the change-in-entropy across the shock front. The results provided a clear picture of whether and how the presence of solid particles influences the flow field behind the imploding shock front.
机译：本文利用几何冲击动力学理论，获得了在含尘气体中传播的内爆冲击波后的一维绝热流的广义解析解。假定粉尘气体是理想气体和球形小固体颗粒的混合物，其中固体颗粒连续分布。考虑了阿南德对粉尘气体的冲击跳跃关系，以探索由于（ⅰ）距会聚中心的传播距离增加，（ⅱ）混合物中固体颗粒的质量分数和（ⅲ）增大而产生的影响固体颗粒密度与气体初始密度的比值，取决于冲击速度，压力，温度，密度，混合物的速度，声速，混合物的绝热可压缩性以及整个冲击前沿的熵变。结果清楚地表明了固体颗粒是否以及如何影响内爆冲击前沿后面的流场。

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