Exact solution for capillary interactions between two particles with fixed liquid volume

摘要

The capillary interactions,including the capillary force and capillary suction,between two unequal-sized particles with a fixed liquid volume are investigated.The capillary interaction model is used within the Young-Laplace framework.With the profile of the meridian of the liquid bridge,the capillary suction,and the liquid volume as state variables,the governing equations with two-fixed-point boundary are first derived using a variable substitution technique,in which the gravity effects are neglected.The capillary suction and geometry of the liquid bridge with a fixed volume are solved with a shooting method.In modeling the capillary force,the Gorge method is applied.The effects of various parameters including the distance between two particles,the ratio of particle radii,and the liquid-solid contact angles are discussed.