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首页> 外文期刊>Bulletin of the American Physical Society >APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - Propagation of a finite bubble in a Hele-Shaw channel of variable depth
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APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - Propagation of a finite bubble in a Hele-Shaw channel of variable depth

机译：APS-APS流体动力学分部第70届年会-事件-变深度Hele-Shaw通道中有限气泡的传播

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摘要

We study the propagation of finite bubbles in a Hele-Shaw channel, where a centred rail is introduced to provide a small axially-uniform depth constriction. We demonstrate experimentally that this channel geometry can be used as a passive sorting device. Single air bubbles carried within silicone oil are generally transported on one side of the rail. However, for flow rates marginally larger than a critical value, a narrow band of bubble sizes on the order of the rail width can propagate over the rail, while bubbles of other sizes segregate to the side of the rail. The width of this band of bubble sizes increases with flow rate and the size of the most stable bubble can be tuned by varying the rail width. We present a depth-averaged theory which reveals that the mechanism relies on a non-trivial interaction between capillary and viscous forces that is fully dynamic, rather than being a simple modification of capillary static solutions. In contrast, for larger bubbles and sufficiently large imposed flow rates, we find that initially centred bubbles do not converge onto a steady mode of propagation. Instead they transiently explore weakly unstable steady modes, an evolution which results in their break-up and eventual settling into a steady state of changed topology.
机译：我们研究了Hele-Shaw通道中有限气泡的传播，在该通道中引入了中心导轨以提供较小的轴向均匀深度收缩。我们通过实验证明了此通道的几何形状可以用作被动排序设备。硅油中携带的单个气泡通常在导轨的一侧传输。但是，对于略微大于临界值的流量，气泡尺寸的窄带会在导轨宽度上传播，而其他尺寸的气泡会分离到导轨的侧面。气泡大小带的宽度随流速增加，并且可以通过更改轨道宽度来调整最稳定的气泡大小。我们提出了一种深度平均理论，该理论揭示了该机理依赖于完全动态的毛细管力和粘性力之间的非平凡相互作用，而不是对毛细管静态溶液的简单修改。相反，对于较大的气泡和足够大的施加流量，我们发现最初居中的气泡不会收敛到稳定的传播模式。取而代之的是，他们短暂地探索了弱不稳定的稳态模式，这种演化导致了它们的破裂，最终陷入了拓扑变化的稳态。

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