论文标题

由坚固壁界定的半摩托类动物的崩溃:不稳定性和由地面高原边界摩擦驱动的动态

Collapse of a hemicatenoid bounded by a solid wall: instability and dynamics driven by surface Plateau border friction

论文作者

Raufaste, Christophe, Cox, Simon, Goldstein, Raymond E., Pesci, Adriana I.

论文摘要

当支撑其的环将其移动时,偶像肥皂膜的崩溃是界面运动中的经典问题,在界面运动中,表面张力与周围空气的惯性之间存在平衡,而膜粘度仅扮演次要角色。最近[Goldstein等人,物理学。 Rev. E 104,035105(2021)],我们介绍了一个问题的变体,其中catenoid被位于垂直于环的对称性平面的玻璃板一分为二,在玻璃板上产生了两个相同的半脊髓型,每个半脊髓机构都带有一个表面高原边框(SPB)。除了临界环的分离之外,半词以与散装问题相似的方式崩溃,但是它们的运动受SPB中粘性耗散引起的摩擦力控制。在这里,我们介绍了一个模型的数值研究,该模型包括湿表面上SPB运动的经典摩擦定律,并与我们对该过程的时间演化的实验测量表现出一致性。这项研究可以帮助解释非常密封的几何形状(例如多孔材料或微流体设备)内部气泡的破碎。

The collapse of a catenoidal soap film when the rings supporting it are moved beyond a critical separation is a classic problem in interface motion in which there is a balance between surface tension and the inertia of the surrounding air, with film viscosity playing only a minor role. Recently [Goldstein, et al., Phys. Rev. E 104, 035105 (2021)], we introduced a variant of this problem in which the catenoid is bisected by a glass plate located in a plane of symmetry perpendicular to the rings, producing two identical hemicatenoids, each with a surface Plateau border (SPB) on the glass plate. Beyond the critical ring separation, the hemicatenoids collapse in a manner qualitatively similar to the bulk problem, but their motion is governed by the frictional forces arising from viscous dissipation in the SPBs. Here we present numerical studies of a model that includes classical friction laws for SPB motion on wet surfaces and show consistency with our experimental measurements of the temporal evolution of this process. This study can help explain the fragmentation of bubbles inside very confined geometries such as porous materials or microfluidic devices.

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