会聚圆柱shock wave的耗散不稳定性
Dissipative instability of converging cylindrical shock wave
摘要：
在大定常激波半径的限制下，得到了任意粘性介质中会聚圆柱形强激波线性不稳定的条件，当可以考虑相同的朗肯-这种不稳定性条件与平面SW的不稳定性条件基本上不同，因为圆柱SW在圆柱SW中不具有手征对称性。的SW速度的方向（从左到右或反之亦然）的情况下，在一个平面SW。收敛圆柱形SW的扰动的指数增长率是积极的，只有非零粘度的限制高，但有限的，雷诺数以及平面SW的不稳定性。
英文摘要：
The condition of linear instability for a converging cylindrical strong shock wave (SW) in an arbitrary viscous medium is obtained in the limit of a large stationary SW radius, when it is possible to consider the same Rankine-Hugoniot jump relations as for the plane SW. This condition of instability is substantially different from the condition of instability for the plane SW because a cylindrical SW does not have chiral symmetry in the direction of the SW velocity (from left to right or vice versa) as in the case of a plane SW. The exponential growth rate of perturbations for the converging cylindrical SW is positive only for nonzero viscosity in the limit of high, but finite, Reynolds numbers as well as for the instability of a plane SW.
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