慢扩张旋转流的稳定性分析（Ⅰ）—理论研究

Stability Analysis of Slowly Divergent Swirling Flow(I) Theory

本文研究了无粘不可压慢扩张旋转流的稳定性问题，采用多重尺度展开法对有慢扩张的旋转流的非对称扰动进行浅化稳定性研究，导出了零阶及一阶扰动模所应满足的微分方程及由于慢扩张引起振幅变化的控制方程，将Ｐｌａｓｃｈｋｏ关于慢扩张喷流的结果推广到具有慢扩张的旋转流情况。

The stability of inviscid incompressible swirling flow with slow diver-gence is investigated. A multiple scale expansion is used to develop a linear stability study of slowly divergent swirling flow with non-axisymmetric distur-bances. The differential equations of zero-order and first-order disturbance module and governing equation of amplitude variation due to slowly divergent flow are derived. The Plaschko's equation for slowly divergent swirl-free jet has been extended to slowly divergent flow with swirl in the present study.