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The numerical simulation of the steady movement of a fluid meniscus in a capillary tube

Published online by Cambridge University Press:  19 April 2006

James Lowndes
James Lowndes
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 9PL Present address: Ferranti Computer Systems Ltd., Bird Hall Lane, Cheadle Heath, Stock-port SK3 0XQ.
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Abstract

The steady movement of a fluid meniscus in a circular capillary tube is analysed by means of finite-element numerical simulation for a range of values of contact angles and contact-line velocities with minute slippage of the fluid on the tube wall, thus relaxing the conventional no-slip boundary condition. The resulting flow field does not produce unbounded forces at contact line, contrary to that with the no-slip condition. The unknown meniscus shape is determined by an iterative scheme in which the imbalance in the normal-stress boundary condition is the basis for improving the shape. Comparison of the numerical results found here and the experimental results of a number of investigators suggests the possibility that the contact angle does not vary with contact-line velocity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 101 , Issue 3 , 11 December 1980 , pp. 631 - 646
Copyright
© 1980 Cambridge University Press

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