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Asymptotics of a horizontal liquid bridge
Date
2016
Abstract
This paper uses asymptotic techniques to find the shape of a two dimensional liquid bridge suspended between two vertical walls. We model the equilibrium bridge shape using the Laplace-Young equation. We use the Bond number as a small parameter to deduce an asymptotic solution which is then compared with numerical solutions. The perturbation approach demonstrates that equilibrium is only possible if the contact angle lies within a hysteresis interval and the analysis relates the width of this interval to the Bond number. This result is verified by comparison with a global force balance. In addition, we examine the quasi-static evolution of such a two dimensional bridge. Published by AIP Publishing.
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Description
peer-reviewed
Publisher
American Institute of Physics
Citation
Physics of Fluids;28: 042107
Files
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Haynes_2016_bridge.pdf
Adobe PDF, 1.86 MB
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Funding Information
Science Foundation Ireland (SFI)