Abstract

A new condition is obtained for the linear instability of a plane front of an intense shock wave in an arbitrary medium, which is determined by the finiteness of the viscosity. It is shown that the shock front instability occurs due to dissipative instability of the flow behind the front, which is analogous to the flow instability in the boundary layer. It is found that in the low-viscosity limit, one-dimensional longitudinal perturbations increase much faster than two-dimensional (corrugation) perturbations. The results are compared with the available data of experimental observation and numerical simulation of instability of shock waves. The comparison shows a better agreement between the new absolute shock instability as compared to the condition of such instability in the classical D’yakov theory disregarding viscosity.

中文翻译：

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冲击波的耗散不稳定性

摘要

在任意介质中，强冲击波的平面前沿的线性不稳定性获得了新的条件，该条件由粘度的有限性决定。可以看出，由于前部后面的流的耗散不稳定性而导致了激波前部的不稳定性，这类似于边界层中的流不稳定性。发现在低粘度极限中，一维纵向扰动比二维（波纹）扰动增加得快得多。将结果与实验观察和冲击波不稳定性的数值模拟的可用数据进行比较。比较表明，与经典的D'yakov理论中不考虑粘度的情况相比，新的绝对冲击不稳定性与这种不稳定性的条件之间有更好的一致性。