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Floquet analysis on a viscous cylindrical fluid surface subject to a time-periodic radial acceleration
Theoretical and Computational Fluid Dynamics ( IF 3.4 ) Pub Date : 2020-09-14 , DOI: 10.1007/s00162-020-00550-y
Dilip Kumar Maity

Parametrically excited standing waves are observed on a cylindrical fluid filament. This is the cylindrical analog of the Faraday instability in a flat surface or spherical droplet. Using Floquet theory, a linear stability analysis is carried out on a viscous cylindrical fluid surface, which is subjected to a time-periodic radial acceleration. Viscosity of the fluid has a significant impact on the critical forcing amplitude as well as the dispersion relation of the non-axisymmetric patterns. The effect of viscosity on the threshold of the pattern with azimuthal wavenumber $$m=1$$ m = 1 shows a different dependence from $$m>1$$ m > 1 . It is also observed that the effect of viscosity is greater on the threshold with higher m .

中文翻译:

受时间周期径向加速度作用的粘性圆柱形流体表面的 Floquet 分析

在圆柱形流体灯丝上观察到参数激发驻波。这是平面或球形液滴中法拉第不稳定性的圆柱形模拟。使用 Floquet 理论,对受到时间周期径向加速度的粘性圆柱形流体表面进行线性稳定性分析。流体的粘度对临界强迫振幅以及非轴对称模式的色散关系有显着影响。粘度对具有方位波数 $$m=1$$m = 1 的图案阈值的影响显示出与 $$m>1$$m > 1 不同的依赖性。还观察到粘度对阈值的影响越大,m 越高。
更新日期:2020-09-14
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