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Static menisci on the outside of cylinders

Published online by Cambridge University Press:  28 March 2006

D. A. White  and
J. A. Tallmadge
D. A. White
Affiliation:
Department of Engineering and Applied Science, Yale University, New Haven, Conn
J. A. Tallmadge
Affiliation:
Department of Engineering and Applied Science, Yale University, New Haven, Conn
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Extract

The Laplace equation for the pressure drop across curved liquid-gas interfaces is applied to the solution of the profile of a static liquid meniscus on the outside of a wire of circular cross-section. The resulting differential equation is integrated numerically, an operation complicated by the existence of boundary conditions at two points making a trial-and-error solution necessary. The accuracy of the solution is substantiated by comparison of computed profiles with experiments in which menisci of a blue dye in water are photographed clinging to the outside of brass wires, whose diameters lie within the range of technological interest.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 2 , October 1965 , pp. 325 - 335
Copyright
Copyright © Cambridge University Press 1965

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Footnotes

†

Present address: Department of Chemical Engineering, Cambridge University.

‡

Present address: Department of Mechanical Engineering, Imperial College of Science and Technology, London.

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