Instability of Compressible Drops and Jets
Instability of Compressible Drops and Jets
复制标题
可压缩液滴和射流的不稳定性
DOI：
10.1017/jfm.2012.142
复制
发表时间：
2012
影响因子：
3.7
通讯作者：
U.Miyamoto
中科院分区：
文献类型：
--
作者：
緒方一介;U.Miyamoto
我们重新审视经典的问题，由表面张力举行的液滴和射流的稳定性，同时考虑散装流体的可压缩性和空间尺寸作为自由参数。通过模态分析，它表明存在一个临界压缩性，超过该压缩性，液滴（和盘）变得不稳定的球形扰动。对于给定的可压缩性值（以及平衡时的表面张力和密度），该不稳定性准则提供了最小半径，低于该最小半径，液滴不能处于稳定平衡。根据上述不稳定模式的存在，这对应于一个均匀扰动的圆柱射流，瑞利-高原不稳定的圆柱体的色散关系急剧变化。特别是，我们确定了另一个临界压缩性以上的均匀不稳定模式占主导地位。对非相对论性和相对论性理想流体进行了分析，其中忽略了自引力。
We revisit the classic problem of the stability of drops and jets held by surface tension, while regarding the compressibility of bulk fluids and spatial dimensions as free parameters. By mode analysis, it is shown that there exists a critical compressibility above which the drops (and discs) become unstable for a spherical perturbation. For a given value of compressibility (and of the surface tension and the density at equilibrium), this instability criterion provides a minimal radius below which the drop cannot be in stable equilibrium. According to the existence of the above unstable mode of the drop, which corresponds to a homogeneous perturbation of a cylindrical jet, the dispersion relation of Rayleigh–Plateau instability for cylinders drastically changes. In particular, we identify another critical compressibility above which the homogeneous unstable mode is predominant. The analysis is carried out for non-relativistic and relativistic perfect fluids, the self-gravity of which is ignored.