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Numerical investigation of the dynamic influence of the contact line region on the macroscopic meniscus shape

Published online by Cambridge University Press:  26 April 2006

Ivan B. Bazhlekov  and
Allan K. Chesters
Ivan B. Bazhlekov
Affiliation:
Institute of Mathematics, BAS, acad. G. Bonchev str. bl. 8, 1113 Sofia, PO Box 373, Bulgaria
Allan K. Chesters
Affiliation:
Laboratory of Fluid Dynamics and Heat Transfer, Eindhoven University of Technology, PO Box 513, Eindhoven, The Netherlands
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Abstract

The influence of different boundary conditions applied in the contact line region on the outer meniscus shape is analysed by means of a finite-element numerical simulation of the steady movement of a liquid-gas meniscus in a capillary tube. The free-surface steady shape is obtained by solving the unsteady creeping-flow approximation of the Navier–Stokes equations starting from some initial shape. Comparisons of the outer solutions obtained using two different inner models, together with that published by Lowndes (1980), indicate the relative insensitivity of the outer solution to the type of model utilized in the contact line region.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 329 , 25 December 1996 , pp. 137 - 146
Copyright
© 1996 Cambridge University Press

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