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Eulerian/Lagrangian formulation for the elasto-capillary deformation of a flexible fibre

机译:Eulerian / Lagrangian配方柔性纤维的弹性毛细血管变形

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The capillary induced bending of flexible fibres, a process also known as elasto-capillary deformation, is central to a variety of industrial and non-industrial applications, among which stand out textile flotation, stabilization of emulsions, micro-folding of elastic structures, and clogging of feather fibres by oil droplets. A consistent formulation for the direct numerical simulation of a flexible fibre interacting with a fluidic interface is presently suggested. The fibre is geometrically decomposed into a chain of spherical beads, which undergo stretching, bending, and twisting. interactions. The capillary force, acting at the three-phase contact line, is calculated using a ternary diffuse-interface model. In a first stage, the fibre deformation model and the ternary diffuse-interface model are validated against theoretical solutions. In a second stage, the two- and three-dimensional elastocapillary bending of a fibre by an immersed droplet are numerically investigated. Partial wrapping and complete encapsulation could be simulated. The results show that the fibre curvature increases linearly with the square of the elasto-capillary length, for both low and large structural deformation. (C) 2020 Elsevier Inc. All rights reserved.
机译:毛细管诱导的柔性纤维弯曲,该过程也称为弹性毛细血管变形,是各种工业和非工业应用的核心,其中脱丝浮选,溶液稳定,弹性结构微折叠,和通过油滴堵塞羽毛纤维。目前,目前提出了一种与流体界面相互作用的柔性纤维的直接数值模拟的一致制剂。纤维在几何上分解成一根球形珠子,该珠子经过伸展,弯曲和扭曲。互动。使用三元漫射界面模型计算作用在三相接触线的毛细力。在第一阶段,纤维变形模型和三元漫射界面模型针对理论解决方案验证。在第二阶段中,通过浸入液滴进行纤维的两维弹性膨胀率。可以模拟部分包装和完整的封装。结果表明,纤维曲率与弹性毛细管长度的平方线性增加,适用于低和大结构变形。 (c)2020 Elsevier Inc.保留所有权利。

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