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The steady movement of a liquid meniscus in a capillary tube

Published online by Cambridge University Press:  12 April 2006

C. Huh  and
S. G. Mason
C. Huh
Affiliation:
Department of Chemistry, McGill University, Montreal, Canada Present address: Exxon Production Research Co., Houston, Texas 7701.
S. G. Mason
Affiliation:
Department of Chemistry, McGill University, Montreal, Canada
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Abstract

The steady movement of a liquid meniscus in a circular capillary tube has been examined theoretically for dynamic contact angles close to 90° with minute slippage of the liquid on the solid, thus relaxing the conventional no-slip boundary condition. The resulting flow field does not produce an unbounded force at the contact line, contrary to that with the no-slip condition. The interfacial velocity, wall stress, fluid pressure and the meniscus shape are calculated, and the significance of dynamic contact-angle measurements is discussed. A modified version of the classical Washburn equation which takes account of the meniscus also reveals the importance of slippage.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 81 , Issue 3 , 13 July 1977 , pp. 401 - 419
Copyright
© 1977 Cambridge University Press

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