Oscillatory bubbles induced by geometrical constraint
Oscillatory bubbles induced by geometrical constraint
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DOI：
10.1063/1.3682772
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发表时间：
2011-11
影响因子：
4.6
通讯作者：
M. Pailha;A. Hazel;P. Glendinning;A. Juel
中科院分区：
文献类型：
--
作者：
M. Pailha;A. Hazel;P. Glendinning;A. Juel
我们发现，一个简单的孔几何形状的变化可以从根本上改变的流体置换空气指的行为，表明基于理想化的孔几何形状的模型未能捕捉到复杂的实际流动的关键特征。特别地，矩形横截面的部分遮挡可以迫使从稳定传播的居中手指过渡到表现出空间振荡的状态，该空间振荡由在移动指尖后面的固定距离处的界面的周期性侧向运动形成。我们的振动，这表明它们产生于一个稳定的，不稳定的解决方案的稳定和不稳定的流形之间的全球同宿连接的动力学特征。
We show that a simple change in pore geometry can radically alter the behavior of a fluid-displacing air finger, indicating that models based on idealized pore geometries fail to capture key features of complex practical flows. In particular, partial occlusion of a rectangular cross section can force a transition from a steadily propagating centered finger to a state that exhibits spatial oscillations formed by periodic sideways motion of the interface at a fixed distance behind the moving finger tip. We characterize the dynamics of the oscillations, which suggest that they arise from a global homoclinic connection between the stable and unstable manifolds of a steady, symmetry-broken solution.