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The slow dripping of a viscous fluid

Published online by Cambridge University Press:  21 April 2006

S. D. R. Wilson
S. D. R. Wilson
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 9PL, UK
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Abstract

The problem considered is the determination of the mass of the drops which break away when a viscous liquid drips slowly out of a narrow vertical tube. A simple one-dimensional theory of the unsteady extension of a viscous thread under its own weight is given, which holds when viscosity, capillarity and gravity are important but inertia is negligible. A comparison with experiment is given. There are several systematic errors, the most important of which are associated with detailed behaviour at the pipe exit where die-swell and wetting are difficult to assess. With due allowance for these errors, agreement is fairly good.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 190 , May 1988 , pp. 561 - 570
Copyright
© 1988 Cambridge University Press

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