Three-dimensional instabilities of liquid-lined elastic tubes : A thin-film fluid-structure interaction model
Three-dimensional instabilities of liquid-lined elastic tubes : A thin-film fluid-structure interaction model
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DOI：
10.1063/1.1862631
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发表时间：
2005-03
影响因子：
4.6
通讯作者：
Joseph P. White;M. Heil
中科院分区：
文献类型：
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作者：
Joseph P. White;M. Heil
我们发展了一个表面张力驱动的，液体内衬弹性管的三维不稳定性的理论模型-肺气道闭合模型。该模型是基于大位移壳理论，耦合到润滑理论的方程，修改，以确保系统的平衡配置的精确表示。衬在最初均匀的轴对称管上的液膜可能变得不稳定，从而导致表面张力驱动的不稳定。我们表明，如果液体衬里的表面张力是足够大的（相对于管的弯曲刚度），轴对称的重新分配的流体由这种不稳定性可以增加壁压缩到这样的程度，该系统变得不稳定的二次，非轴对称的不稳定性，导致管壁屈曲。通过线性稳定性分析，我们建立了非轴对称不稳定性发生的条件，并利用有限元模拟来探索系统的后续演化。
We develop a theoretical model of surface-tension-driven, three-dimensional instabilities of liquid-lined elastic tubes—a model for pulmonary airway closure. The model is based on large-displacement shell theory, coupled to the equations of lubrication theory, modified to ensure the exact representation of the system’s equilibrium configurations. The liquid film that lines the initially uniform, axisymmetric tube can become unstable to a surface-tension-driven instability. We show that, if the surface tension of the liquid lining is sufficiently large (relative to the tube’s bending stiffness), the axisymmetric redistribution of fluid by this instability can increase the wall compression to such an extent that the system becomes unstable to a secondary, nonaxisymmetric instability which causes the tube wall to buckle. We establish the conditions for the occurrence of the nonaxisymmetric instability by a linear stability analysis and use finite element simulations to explore the system’s subsequent evoluti...