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On spatial instability of an electrically forced non-axisymmetric jet with curved centerline

机译：具有弯曲中心线的电非轴对称射流的空间不稳定性

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This paper considers the problem of spatial instability of an electrically forced non-axisymmetric jet with curved centerline. A mathematical model, which is developed for the spatially growing oscillations of the centerline of the jet, is based on the relevant approximated versions of the equations of the motion for such electrically forced jet flow. The approximations include the assumptions that the radius of curvature of the centerline of the jet is much larger than the radius of the jet and the spatially growing disturbances are infinitesimal in amplitude. For the neutral temporal stability boundary, we identify, in particular, new spatial, conducting and viscous modes of instabilities which travel axially in the direction of increasing axial variable and are enhanced with increasing either the surface charge or the strength of the applied electric field. For given values of the parameters, there is a critical wave number at which the instability of these modes is maximized. The range of values of the wave number and the frequency of these instability modes increases with the externally imposed electric field.
机译：本文考虑了具有弯曲中心线的电动非轴对称射流的空间不稳定性问题。针对该射流的中心线的空间增长的振动而开发的数学模型基于这种电动射流的运动方程的相关近似形式。近似值包括以下假设：射流中心线的曲率半径比射流半径大得多，并且空间增长的扰动在振幅上无穷小。对于中性的时间稳定性边界，我们特别确定了新的空间，传导和粘性不稳定性模式，这些模式在轴向变量增加的方向上轴向传播，并随着表面电荷或所施加电场强度的增加而增强。对于给定的参数值，存在一个临界波数，在这些波数下，这些模式的不稳定性最大。这些不稳定模式的波数和频率的值的范围随着外部施加的电场而增加。

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