The Force Singularity for Partially Immersed Parallel Plates

TL;DR

This paper investigates the complex force behaviors and singular phenomena occurring between partially immersed parallel plates in a liquid, focusing on the transition point where fluid height becomes infinite and providing new estimates on meniscus details.

Contribution

It introduces a detailed analysis of the singular configurations and fluid behavior at the critical point between infinite rise and descent, extending previous force descriptions.

Findings

Identification of exotic behaviors at the singular configuration

New estimates on meniscus height details

Insights into force dynamics at critical fluid configurations

Abstract

In earlier work, we provided a general description of the forces of attraction and repulsion, encountered by two parallel vertical plates of infinite extent and of possibly differing materials, when partially immersed in an infinite liquid bath and subject to surface tension forces. In the present study, we examine some unusual details of the exotic behavior that can occur at the singular configuration separating infinite rise from infinite descent of the fluid between the plates, as the plates approach each other. In connection with this singular behavior, we present also some new estimates on meniscus height details.