Computation of Liquid Drops Geometry with Motion of the Contact Curves
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This paper covers the modeling of homogenous liquids adhering to a uniform solid surface. It is divided into two separate problems: the sessile drop on a horizontal plane, and the liquid bridge between two horizontal planes held apart at a fixed distance. We prove a volume formula for both problems. We use numerical methods to solve the differential equations that describe the surface of the liquid. We use a model to compute velocity along the contact line, which is the rate at which the liquid expands along the solid surface. We study the issue of the receding and advancing along the plate or plates.