# The Force Singularity for Partially Immersed Parallel Plates

@article{Bhatnagar2016TheFS, title={The Force Singularity for Partially Immersed Parallel Plates}, author={Rajat Bhatnagar and Robert S Finn}, journal={Journal of Mathematical Fluid Mechanics}, year={2016}, volume={18}, pages={739-755} }

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…

## 6 Citations

The Laplace Parallel Plates Problem in Capillarity Theory

- MathematicsJournal of Mathematical Fluid Mechanics
- 2018

When two parallel plates of perhaps different materials are immersed vertically into a fluid bath in a vertically downward gravity field, they may experience an attracting or repelling force.…

Bifurcation of a partially immersed plate between two parallel plates

- MathematicsJournal of Fluid Mechanics
- 2017

The three-plate system in which a vertical plate is located between two spaced parallel plates partially immersed in an infinite water bath in a downward gravity field is considered. With different…

Experimental Confirmation of Predicted Rise Heights in a Surface Tension Configuration Introduced by Laplace

- Physics
- 2018

We develop numerical methods and experimental procedures to test theoretical predictions derived independently in Bhatnagar and Finn (The Laplace Parallel Plates Problem in Capillarity Theory. In…

Capillary Graph-Interfaces “in-the-Large”

- MathematicsVietnam Journal of Mathematics
- 2018

This paper continues ongoing investigations into questions initiated by seventeenth-century experiments of Mariotte on mutual attractions and repulsions of floating objects, later reformulated…

On the Capillarity Equation in Two Dimensions

- Mathematics
- 2016

We study the capillarity equation from the global point of view of behavior of its solutions without explicit regard to boundary conditions. We show its solutions to be constrained in ways, that have…

Addenda to the Preceding Paper

- Economics
- 2016

This work contains largely afterthoughts, relating to the paper immediately preceding it. We correlate and interpret our contributions in that paper, relative to those of an earlier publication by…

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We study the capillarity equation from the global point of view of behavior of its solutions without explicit regard to boundary conditions. We show its solutions to be constrained in ways, that have…

Addenda to the Preceding Paper

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This work contains largely afterthoughts, relating to the paper immediately preceding it. We correlate and interpret our contributions in that paper, relative to those of an earlier publication by…