Variational formulation of oscillating fluid clusters and oscillator-like classification. I. Theory
Variational formulation of oscillating fluid clusters and oscillator-like classification. I. Theory
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DOI：
10.1063/1.4871486
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发表时间：
2014-04
影响因子：
4.6
通讯作者：
P. Kurzeja;H. Steeb
中科院分区：
文献类型：
--
作者：
P. Kurzeja;H. Steeb
本工作发展了描述流体团簇振荡的理论框架。文中介绍了基本的物理现象，并提出了合理的假设，最终得到了不同类型的振荡(钉扎/滑动)的方程。更详细地研究了刚性固体基质包围的液体团簇和气体的特殊组合。在此基础上，利用一维振子模型对振荡流体团簇进行了分类。这种分类包括三个动力学属性：质量、特征频率和阻尼，而概念实现和多相理论中使用的限制是明确的。频率相关的流动剖面导致了动态参数的频率相关性。对此进行了讨论，并用无量纲数字表示。
The present work develops the theoretical framework to describe oscillations of fluid clusters. The basic physical phenomena are presented and justified assumptions lead to the final set of equations for different types of oscillations (pinned/sliding). The special combination of a liquid cluster surrounded by a rigid solid matrix and a gas is investigated in more detail. Furthermore, a classification of oscillating fluid clusters is presented using a one-dimensional oscillator model. This classification includes three dynamic properties: mass, eigenfrequency, and damping whereas conceptual implementation and limitations for use in multiphase theories are clearly indicated. The frequency dependent flow profile leads to frequency dependence of the dynamic parameters. This is discussed and represented by dimensionless numbers.