Viscous froth model applied to the dynamic simulation of bubbles flowing in a channel: three-bubble case

Viscous froth model applied to the dynamic simulation of bubbles flowing in a channel: three-bubble case
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粘性泡沫模型应用于通道内气泡流动的动态模拟:三气泡情况

DOI:
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发表时间:
2022
期刊:
Proceedings of the Royal Society A
影响因子:
--
通讯作者:
P. Grassia
P. Grassia
中科院分区:
--
文献类型:
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作者:
C. Torres;P. Grassia

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采用粘性泡沫模型对由三个气泡组成的二维泡沫系统进行了模拟研究。气泡排列成所谓的阶梯结构,并由于施加的驱动背压而沿通道沿着移动。这种流动的三泡系统之前已经研究过,其基础是它在更简单的阶梯结构(简单的透镜,如果在高压下驱动,则通过所谓的拓扑变换而破裂)和无限阶梯(其维持任意大的驱动压力而不破裂)之间插值。根据气泡大小相对于通道大小,不同的解决方案分支的三个气泡系统被发现:某些分支终止(如简单的透镜)在拓扑变换和其他达到(如无限的楼梯)的几何不变的迁移状态。然而,以前使用的方法是,一个纯粹的稳态,因此没有询问的各种分支的稳定性,也没有施加不同的驱动压力拓扑变换类型的作用。为了解决这个问题,非稳态三泡模拟实现在这里。在较低的驱动压力下,存在稳定的解分支,无需拓扑变换。然而,对于足够高的施加的背压,拓扑变换发生,尽管施加的压力现在影响变换类型。
A two-dimensional foam system comprised of three bubbles is studied via simulations with the viscous froth model. Bubbles are arranged in a so-called staircase configuration and move along a channel due to imposed driving back pressure. This flowing three-bubble system has been studied previously on the basis that it interpolates between a simpler staircase structure (a simple lens, which breaks up via so-called topological transformations if driven at high pressure) and an infinite staircase (which sustains arbitrarily large driving pressure without breaking). Depending on bubble size relative to channel size, different solution branches for the three-bubble system were found: certain branches terminate (as for the simple lens) in topological transformations and others reach (as for an infinite staircase) a geometrically invariant migrating state. The methodology used previously was, however, a purely steady state one, and hence did not interrogate stability of the various branches, nor the role of imposing different driving pressures upon topological transformation type. To address this, unsteady state three-bubble simulations are realized here. Stable solution branches without topological transformation exist for comparatively low driving pressures. For sufficiently high imposed back pressures, however, topological transformations occur, albeit with imposed pressure now influencing the transformation type.
DOI: 10.1209/0295-5075/77/28002
发表时间: 2007
期刊: EPL (Europhysics Letters)
影响因子: --
作者:
S. Hutzler;D. Weaire;S. Cox;A. V. D. Net;E. Janiaud
通讯作者: S. Hutzler;D. Weaire;S. Cox;A. V. D. Net;E. Janiaud