The Surface Shape of Static Liquids between Double Vertical Plates in Different Gravity Environments

Abstract

Liquid surface tension is produced at interfaces between liquid and air, due to the different molecular attractions on both sides. If the adhesion between a liquid and a solid wall is greater than the cohesion of the liquid itself, the liquid surface rises in a concave form due to the action of the surface tension, and the liquid near the surface produces a suction head. Conversely, if the liquid-solid adhesion is less than the cohesion of the liquid, the surface drops down in a convex form and the liquid has a pressure head. This paper systematically investigates the surface shape and tension distributions of static liquids near solid walls. The scenarios investigated the walls of double vertical plates. For the plane-based problems, an analytical method is used to extract exact solutions. For a double plates, fitting formulae are presented. All of the quantities required for these results can be easily measured in different gravity environments.