The Bretherton Problem In Elastic-Walled Channels: Finite Reynolds Number Effects
The Bretherton Problem In Elastic-Walled Channels: Finite Reynolds Number Effects
复制标题
弹性壁通道中的布雷瑟顿问题：有限雷诺数效应
DOI：
10.1007/978-94-010-0796-2_14
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发表时间：
2001
影响因子：
8.6
通讯作者：
M. Heil
中科院分区：
文献类型：
--
作者：
M. Heil
本文研究了流体惯性对空气指传播到具有弹性壁的通道中的影响，该问题可以被视为经典 Bretherton 问题的推广。这项研究的动机是肺气道重新开放的生理问题。数值结果表明，流体惯性在这个问题中发挥着惊人的重要作用：即使对于雷诺数和毛细管数相对较小的比率（Re/Ca ≈ 5 – 10），与零雷诺数情况相比，以给定速度驱动空气指所需的压力也会显着增加。惯性效应也被证明是导致气泡尖端之前的壁变形发生显着变化的原因。通过卡门-波尔豪森近似法对此进行分析，该近似产生线性常微分方程，其特征值确定该区域中振荡壁位移场的波长和衰减率。
This paper investigates the effect of fluid inertia on the propagation of an air finger into a channel with elastic walls, a problem which can be regarded as a generalisation of the classical Bretherton problem. The study is motivated by the physiological problem of pulmonary airway reopening. Numerical results show that fluid inert ia plays a surprisingly important role in thi s problem: Even for relatively modest ratios of Reynolds and Capillary numbers (Re/Ca ≈ 5 – 10), the pressure required to drive the air finger at a given speed increases significantly compared to the zero Reynolds number case. Inertial effects are also shown to be responsible for a notice able change in the wall deformation ahead of the bubble tip. This is analysed by a Karman-Pohlhausen approximation which yields a linear ODE, the eigenvalues of which determine the wavelength and decay rate of the oscillatory wall displacement field in this region.
影响因子：
3.3
作者：
GAVER, DP;SAMSEL, RW;SOLWAY, J
通讯作者：
SOLWAY, J