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arXiv 1105.5233physics.flu-dynnucl-th
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可压缩液滴和射流的不稳定性

Instability of Compressible Drops and Jets

Umpei Miyamoto

摘要:

我们重新审视了经典的问题,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以上的液滴(和磁盘)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值),该不稳定性准则提供了一个最小半径,低于该半径,液滴不能稳定平衡。由于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-高原不稳定性的圆柱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。

英文摘要:

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 disks) become unstable for a spherical perturbation. For a given value of compressibility (and those of the surface tension and density at the equilibrium), this instability criterion provides a minimal radius below which the drop cannot be a stable equilibrium. According to the existence of the above unstable mode of drop, which corresponds to a homogeneous perturbation of 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 done for non-relativistic and relativistic perfect fluids, of which self-gravity is ignored.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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