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The effect of the contact line on droplet spreading

Published online by Cambridge University Press:  26 April 2006

Patrick J. Haley  and
Michael J. Miksis
Patrick J. Haley
Affiliation:
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA
Michael J. Miksis
Affiliation:
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA
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Abstract

The motion of the free surface of a viscous droplet is investigated. By using lubrication theory a model is developed for the motion of the free surface which includes both the effect of slip and the dependence of the contact angle on the slip velocity. We solve the resulting nonlinear partial differential equation in several ways. First we investigate the initial motion of the drop at a non-equilibrium contact angle using the method of matched asymptotics. Then we develop a pseudo-spectral method to numerically solve the full nonlinear system. The dependence of the spreading rate of the drop on the various physical parameters and for different slip models is determined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 223 , February 1991 , pp. 57 - 81
Copyright
© 1991 Cambridge University Press

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