A computer modeling study is reported about the constant-piston-velocity compaction response of a 50% porous fine particle and air mixture. It is established that for the 10-\(\upmu \hbox {m}\) average particle diameter powder chosen (sugar), over the piston velocity range 100–1000 \(\hbox {m}\,\hbox {s}^{-1}\), a self-similar shock is formed in 12–14 particle diameters of motion (\({\approx }\,140~\upmu \hbox {m}\)). The shock is found to be statistically bounded, but temporally and spatially variable. At the resulting shock velocities identified for this powder, this results in self-similar behavior if the shock is supported for approximately 100 ns. Therefore, the use of the shock jump equations to estimate the post-shock state is valid after this duration. Further, it is found that a linear shock- and particle-velocity relation works well to model the low-pressure compaction of the powder. The intercept of this relation (commonly called the bulk sound speed in solid materials) is very low (50–100 \(\hbox {m}\,\hbox {s}^{-1}\)), but positive. The implications of this powder response on the functioning of exploding bridgewire detonators and the porous pentaerythritol-tetranitrate fill commonly used in them are discussed and compared with other literature on the topic.

据报道，有关50％多孔细颗粒和空气混合物的恒定活塞速度压缩响应的计算机模型研究。可以确定，在活塞速度范围100–1000 \（\ hbox {m} \，\ hbox {s}中，对于选择的10- \（\ upmu \ hbox {m} \）平均粒径粉末（糖）  ^ {-1} \），在12–14的运动粒径中会形成自相似的冲击（\（{\ approx} \，140〜\ upmu \ hbox {m} \））。发现该冲击在统计上是有界的，但是在时间和空间上是可变的。以这种粉末确定的最终冲击速度，如果将冲击支撑约100 ns，这将导致自相似行为。因此，在此持续时间之后，使用激波跳跃方程式估算激波后状态是有效的。此外，发现线性冲击和颗粒速度关系很好地模拟了粉末的低压压实。这种关系的截距（通常称为固体材料中的整体声速）非常低（50–100  \（\ hbox {m} \，\ hbox {s} ^ {-1} \）），但肯定。讨论了这种粉末响应对爆炸中的桥丝雷管和常用的多孔季戊四醇四硝酸酯多孔填料功能的影响，并与该主题的其他文献进行了比较。