arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2302.01038physics.flu-dyn
收藏

Hele-Shaw通道中的稳定气泡结构

Stable bubble formations in a Hele-Shaw channel

The University of Manchester（曼彻斯特大学）；The University of East Anglia（东英吉利大学）

Jack Lawless, Jack S. Keeler, Andrew L. Hazel, Anne Juel

备注：
24 pages, 19 figures
发表信息：
Phys. Rev. Fluids 9, 093605 (2024)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

AI总结：

本研究通过在Hele-Shaw通道中引入中心线深度缩减的几何扰动，发现系统可支持多种稳定气泡结构，打破了气泡按尺寸排序分离的常规规律，且稳定结构数量随气泡数呈阶乘增长。

摘要：

在深度均匀的平面Hele-Shaw（赫勒-肖）通道中，由粘性液体流动推动的可变形气泡往往会沿通道流向轴稳定传播，且相邻气泡对要么分离要么合并，因为单个气泡的传播速度随其尺寸单调递增。因此，任何气泡群最终都会按尺寸从大到小重新排列，且所有气泡都会分离。我们发现，通过向通道引入微小的几何扰动——即沿通道中心线设置轴向均匀的深度缩减结构——该系统可支持多种稳定气泡结构，且这会打破通常的按气泡尺寸排序的规律。稳定结构中的组成气泡交替位于深度扰动结构的两侧，保持固定形状，并以相同速度稳定传播。稳定结构始终由其中最小的气泡引领，而该气泡在单独存在时本应是速度最慢的。引领气泡的传播方式与单独存在时相同，尾随气泡则通过调整自身形状以及在其前方最近邻气泡的扰动场中与深度扰动结构的重叠程度来降低速度，以匹配引领气泡的速度。尾随气泡可以任意顺序排列，因此，随着气泡数量增加，稳定结构的数量呈阶乘式增长。

英文摘要：

Deformable bubbles propagated by the flow of a viscous liquid in a planar Hele-Shaw channel of uniform depth tend to travel steadily along the channel's streamwise axis and pairs of neighbouring bubbles will either separate or coalesce because an individual bubble's propagation speed increases monotonically with its size. Thus, any group of bubbles will eventually rearrange itself in order of decreasing size and all of the bubbles will separate. We show that, by introducing a small geometric perturbation to the channel in the form of an axially-uniform depth reduction along its centreline, the system supports a multitude of stable bubble formations and this can disrupt the usual reordering by bubble size. The constituent bubbles of a stable formation lie in alternation on opposite sides of the depth-perturbation, retain fixed shapes and propagate steadily at the same speed. A stable formation is always led by the smallest of its constituent bubbles, which would be the slowest bubble in isolation. The leading bubble propagates as if it were isolated and the trailing bubbles reduce their speeds by adjusting their shapes and overlaps of the depth-perturbation in the perturbation fields of their preceding nearest-neighbours in order to match that of the leading bubble. The trailing bubbles can be arranged in any order and, hence, the number of stable formations increases factorially as the number of bubbles is increased.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑