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The Translational and Rotational Dynamics of a Colloid Moving Along the Air-Liquid Interface of a Thin Film

机译:胶体沿薄膜的气液界面移动的平移和旋转动力学

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摘要

This study examines the translation and rotation of a spherical colloid straddling the (upper) air/liquid interface of a thin, planar, liquid film bounded from below by either a solid or a gas/liquid interface. The goal is to obtain numerical solutions for the hydrodynamic flow in order to understand the influence of the film thickness and the lower interface boundary condition. When the colloid translates on a film above a solid, the viscous resistance increases significantly as the film thickness decreases due to the fluid-solid interaction, while on a free lamella, the drag decreases due to the proximity to the free (gas/liquid) surface. When the colloid rotates, the contact line of the interface moves relative to the colloid surface. If no-slip is assumed, the stress becomes infinite and prevents the rotation. Here finite slip is used to resolve the singularity, and for small values of the slip coefficient, the rotational viscous resistance is dominated by the contact line stress and is surprisingly less dependent on the film thickness and the lower interface boundary condition. For a colloid rotating on a semi-infinite liquid layer, the rotational resistance is largest when the colloid just breaches the interface from the liquid side.
机译:这项研究检查了球形胶体的平移和旋转情况,该胶体跨越了从下方由固体或气体/液体界面界定的薄的平面液体膜的(上部)空气/液体界面。目的是获得流体动力流的数值解,以了解膜厚度和下部界面边界条件的影响。当胶体在固体上方的薄膜上平移时,由于液-固相互作用,随着膜厚度的减小,粘性阻力显着增加,而在自由层板上,由于与自由(气体/液体)的接近,阻力减小表面。当胶体旋转时,界面的接触线相对于胶体表面移动。如果假定不打滑,则应力将变得无限大并阻止旋转。此处,使用有限滑移来解决奇异性,对于滑移系数的较小值,旋转粘性电阻受接触线应力支配,并且出乎意料地较少依赖于膜厚度和较低的界面边界条件。对于在半无限大的液体层上旋转的胶体,当胶体刚好从液体侧突破界面时,旋转阻力最大。

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