Divergence-driven oscillations in a flexible-channel flow with fixed upstream flux
Divergence-driven oscillations in a flexible-channel flow with fixed upstream flux
复制标题
具有固定上游通量的柔性通道流中发散驱动的振荡
DOI：
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发表时间：
2013
影响因子：
3.7
通讯作者：
O. Jensen
中科院分区：
文献类型：
--
作者：
F. Xu;J. Billingham;O. Jensen
摘要我们考虑有限长流道中的流动，流道的一个壁面上有一个承受纵向拉力的膜。规定了上游流量和下游压力，并对膜施加了外部线性压力分布，使得系统允许均匀的泊松叶流作为稳定解。该系统使用一维模型来描述，该模型考虑了粘性和惯性效应。线性稳定性分析表明，均匀状态对静态(或发散)和振荡不稳定性是不稳定的。在Takens-Bogdanov分岔点附近的渐近分析表明，当通道的下游刚性段不比膜长得多时，两个静态本征模之间的相互作用如何产生振荡模。均匀状态的扰动表现出一个弱耗散哈密顿系统的动力学，对于该系统，低频自激振荡被两个相邻的定常解的发散不稳定性所强迫，最终发展到大幅度。模拟表明，随后的动力学过程可能涉及到撞击运动，在这个过程中，薄膜与相对的刚性墙在较短的尺度上短暂地接近接触。
Abstract We consider flow in a finite-length channel, one wall of which contains a membrane under longitudinal tension. The upstream flux and downstream pressure are prescribed and an external linear pressure distribution is applied to the membrane such that the system admits uniform Poiseuille flow as a steady solution. The system is described using a one-dimensional model that accounts for viscous and inertial effects. A linear stability analysis reveals that the uniform state is unstable to static (or divergent) and oscillatory instabilities. Asymptotic analysis in the neighbourhood of a Takens–Bogdanov bifurcation point shows how, when the downstream rigid section of the channel is not substantially longer than the membrane, an oscillatory mode arises through an interaction between two static eigenmodes. Perturbations to the uniform state exhibit the dynamics of a weakly dissipative Hamiltonian system for which low-frequency self-excited oscillations are forced by the divergent instability of two nearby steady solutions, before ultimately growing to large amplitudes. Simulations show that the subsequent dynamics can involve slamming motion in which the membrane briefly comes into near-contact with the opposite rigid wall over short length scales.
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柔性通道中流动的局部不稳定性：由弱关键层驱动的不对称颤振
影响因子：
4.6
作者：
Stewart P
通讯作者：
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影响因子：
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作者：
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DOI：
10.1093/qjmam/hbq020
发表时间：
2010-11-01
影响因子：
0.9
作者：
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通讯作者：
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影响因子：
3.7
作者：
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流过膜覆盖、充满液体的腔体。
影响因子：
4.7
作者：
Thomson,ScottL;Mongeau,Luc;Frankel,StevenH
通讯作者：
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