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Axisymmetric meniscus formation: a viscous-fluid model for cones

Published online by Cambridge University Press:  20 April 2006

P. T. Squire
P. T. Squire
Affiliation:
School of Physics, University of Bath, England
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Abstract

The dynamics of the formation of the axisymmetric meniscus around a cone contacting a free liquid surface are discussed. An approximate phenomenological model is set up. In the case considered, where Re [Lt ] 1 and viscosity dominates the retarding forces, this leads to a differential equation relating the height of the circle of contact to time. Solutions are derived, involving one or more unknown parameters, which describe the time dependence of the height of the circle of contact.

Experimental data, obtained from delayed flash photographs of the meniscus profiles of silicone fluid climbing over the surface of glass cones, provide general support for the model. The agreement between the predicted and observed height as a function of time is sufficiently close to justify the model as a useful description.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 129 , April 1983 , pp. 91 - 108
Copyright
© 1983 Cambridge University Press

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