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Numerical simulation of dynamic contact-line problems

Published online by Cambridge University Press:  10 December 1997

IVAN B. BAZHLEKOV  and
PETER J. SHOPOV
IVAN B. BAZHLEKOV
Affiliation:
Institute of Mathematics, Bulgarian Academy of Sciences, acad. G. Bonchev str., bl. 8, 1112 Sofia, Bulgaria Present address: Faculty of Mechanical Engineering, TU Eindhoven, 5600 MB Eindhoven, The Netherlands; e-mail: bazhleko@wfw.wtb.tue.nl.
PETER J. SHOPOV
Affiliation:
Institute of Mathematics, Bulgarian Academy of Sciences, acad. G. Bonchev str., bl. 8, 1112 Sofia, Bulgaria
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Abstract

The presence of a three-phase region, where three immiscible phases are in mutual contact, causes additional difficulties in the investigation of many fluid mechanical problems. To surmount these difficulties some assumptions or specific hydrodynamic models have been used in the contact region (inner region). In the present paper an approach to the numerical solution of dynamic contact-line problems in the outer region is described. The influence of the inner region upon the outer one is taken into account by means of a solution of the integral mass and momentum conservation equations there. Both liquid–fluid–liquid and liquid–fluid–solid dynamic contact lines are considered. To support the consistency of this approach tests and comparisons with a number of experimental results are performed by means of finite-element numerical simulations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 352 , 10 December 1997 , pp. 113 - 133
Copyright
© 1997 Cambridge University Press

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