论文标题

使用摩西效应测量浮动颗粒上的侧毛细力

Measuring Lateral Capillary Forces on Floating Particles using the Moses Effect

论文作者

Shulman, David

论文摘要

这项研究提出了一种新颖且用户友好的技术,用于检测浮动球形粒子上的侧向毛细管。该技术利用毛细管吸引力,静液压力和磁排斥力之间的相互作用。应用磁场来诱导液体中的表面曲率,从而导致毛细管和静水压力在整个粒子表面的不均匀分布。这导致粒子在距磁体的特定距离处的稳定平衡位置。与发达的理论相比,该研究分析了平衡位置和其他相关参数。使用经典的力学和分子间力来建立该方法的理论基础,对粒子的行为进行建模,以响应磁场,表面曲率和静水压力。粒子的平衡位置是通过数值求解力方程平衡来确定的。

This study presents a novel and user-friendly technique for detecting the lateral capillary force on a floating spherical particle. The technique leverages the interplay between the capillary attracting forces, hydrostatic pressure forces, and magnetic repulsion forces. A magnetic field is applied to induce a surface curvature in the liquid, resulting in a non-uniform distribution of capillary and hydrostatic pressure forces across the particle's surface. This leads to a stable equilibrium position of the particle at a specific distance from the magnet. The study analyzes the equilibrium position and other relevant parameters in comparison with the developed theory. Classical mechanics and intermolecular forces are applied to establish the theoretical basis for the method, modeling the behavior of the particle in response to the magnetic field, surface curvature, and hydrostatic pressure. The equilibrium position of the particle is determined by numerically solving the balance of forces equation.

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