论文标题
带有多个或超音速关键点的范德华电击球
Van der Waals shock polars with multiple or supersonic critical points
论文作者
论文摘要
结果表明，状态（EOS）的$γ$ -van der waals方程允许具有超音速临界点的冲击杆，对应于超音速的临界或强型冲击反射，这对于理想气体不可能。还表明，通用的范德华EOS允许具有多个临界点的杆子，对应于相同挠度角的四个或多个反射冲击。在这些反射的冲击中，至少两种是弱类型，即\偏转角会随着减震强度的增加而增加，因此标准文献没有选择两者之一的标准。这两种现象都可以完全在凸和热力学稳定的EOS区域中发现，避免共存区域并满足各种休克稳定性标准。
It is shown that the $γ$-van der Waals equation of state (eos) permits shock polars with supersonic critical points, corresponding to critical or strong-type shock reflections that are supersonic, which is not possible for ideal gas. It is also shown that general van der Waals eos permit polars with multiple critical points, corresponding to four or more reflected shocks for same deflection angle. Of these reflected shocks at least two are weak-type, i.e.\ deflection angle increasing with increasing shock strength, so that standard literature has no criteria to select one of the two. Both phenomena can be found with Hugoniot curves entirely in the region of convex and thermodynamically stable eos, avoiding the coexistence region and satisfying various shock stability criteria.
