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An algorithm for the use of the Lagrangian specification in Newtonian fluid mechanics and applications to free-surface flow

Published online by Cambridge University Press:  20 April 2006

Poul Bach  and
Ole Hassager
Poul Bach
Affiliation:
Instituttet for Kemiteknik, Danmarks Tekniske Højskole, Lyngby, Denmark
Ole Hassager
Affiliation:
Instituttet for Kemiteknik, Danmarks Tekniske Højskole, Lyngby, Denmark
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Abstract

An algorithm is constructed for the use of the Lagrangian kinematic specification in Newtonian fluid mechanics. The algorithm is implemented with a finite-element method, and it is demonstrated that the method accurately describes free-surface flow, including the effects of surface tension, with the use of just bilinear isoparametric elements. Moving contact lines are modelled with a small amount of slip near the contact lines. The contact angle boundary condition is included in the form of a net interfacial force specified at the contact line. Simulations of measurements in a parallel-plate geometry show that the measured apparent contact angle is not the true angle, and that the true angle is always very close to the equilibrium value.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 152 , March 1985 , pp. 173 - 190
Copyright
© 1985 Cambridge University Press

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