各种流体模型中具有二维周期性扰动的自由表面流体

IF 0.6 4区 物理与天体物理 Q4 MECHANICS
Yu. D. Chashechkin, A. A. Ochirov
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引用次数: 0

摘要

摘要 通过奇异扰动理论的方法,首次在线性近似中获得了描述粘性分层带电液体空间衰减的正定频率和复波长的平面自由表面周期性扰动的完整频散关系。完整解的规则成分描述了平面引力-毛细管波。奇异成分描述了韧带,即理想介质模型中不存在的细流。在极端情况下,所获得的频散关系统一地转化为不粘性分层液体、粘性均质液体和理想液体的已知表达式。计算结果给出了在不同介质参数值下,韧带的波长和厚度以及分量的群速度和相速度对频率的依赖关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

A Free Surface Fluid with Two-Dimensional Periodic Disturbances in Various Models of the Fluid

A Free Surface Fluid with Two-Dimensional Periodic Disturbances in Various Models of the Fluid

A Free Surface Fluid with Two-Dimensional Periodic Disturbances in Various Models of the Fluid

The complete dispersion relations for periodic perturbations of a flat free surface with a positive definite frequency and a complex wavenumber describing spatial attenuation in a viscous stratified charged liquid were obtained in a linear approximation by methods of the theory of singular perturbations for the first time. Regular components of the complete solution describe plane gravitational-capillary waves. Singular components characterize ligaments, i.e., thin flows that are absent in the model of an ideal medium. The obtained dispersion relations in extreme cases uniformly transform into known expressions for inviscid stratified, viscous homogeneous and ideal liquids. The calculated dependencies of the wavelength and thickness of the ligament and the group and phase velocity of the components on the frequency at different values of the media parameters are given.

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来源期刊
Doklady Physics
Doklady Physics 物理-力学
CiteScore
1.40
自引率
12.50%
发文量
12
审稿时长
4-8 weeks
期刊介绍: Doklady Physics is a journal that publishes new research in physics of great significance. Initially the journal was a forum of the Russian Academy of Science and published only best contributions from Russia in the form of short articles. Now the journal welcomes submissions from any country in the English or Russian language. Every manuscript must be recommended by Russian or foreign members of the Russian Academy of Sciences.
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